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    Integration of Distributed Generation

    by

    Andrew Keane

    A thesis presented to

    The National University of Ireland

    in fulfilment of the requirements

    for the degree of

    Philosophiae Doctor

    in the

    School of Electrical, Electronic & Mechanical Engineering

    University College Dublin

    Supervisor of Research & Nominating Professor: Prof. Mark OMalleyHead of School: Dr. David FitzPatrick

    January 2007

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    Contents

    Abstract IV

    Acknowledgments VI

    Publications Arising VIII

    Acronyms IX

    List of Figures XI

    List of Tables XIII

    1 Introduction 11.1 Electric Power Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

    1.1.1 Transmission & Distribution of Electricity . . . . . . . . . . . . . 5

    1.2 Distributed Generation. . . . . . . . . . . . . . . . . . . . . . . . . . . . 5

    1.3 Focus of Research. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

    2 Distributed Generation 102.1 Distributed Generation Network Issues . . . . . . . . . . . . . . . . . . . 13

    2.1.1 General Planning & Operational Issues . . . . . . . . . . . . . . 132.1.2 Irish Distribution Network. . . . . . . . . . . . . . . . . . . . . . 17

    2.2 Literature Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18

    2.3 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

    3 Optimal Capacity 223.1 Optimal Capacity Allocation Methodology. . . . . . . . . . . . . . . . . 24

    3.1.1 Objective Function . . . . . . . . . . . . . . . . . . . . . . . . . . 24

    3.1.2 Equipment Ratings. . . . . . . . . . . . . . . . . . . . . . . . . . 24

    3.1.3 Short Circuit Level . . . . . . . . . . . . . . . . . . . . . . . . . . 25

    3.1.4 Short Circuit Ratio. . . . . . . . . . . . . . . . . . . . . . . . . . 26

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    3.1.5 Voltage Rise Effect . . . . . . . . . . . . . . . . . . . . . . . . . . 27

    3.1.6 Energy Resource & Customer Initiatives . . . . . . . . . . . . . . 29

    3.2 Test System & Constraint Characteristics . . . . . . . . . . . . . . . . . 31

    3.3 Optimal Capacity Results . . . . . . . . . . . . . . . . . . . . . . . . . . 34

    3.3.1 Network Sterilisation. . . . . . . . . . . . . . . . . . . . . . . . . 36

    3.4 Impact of DG Capacity on Losses. . . . . . . . . . . . . . . . . . . . . . 39

    3.4.1 Losses in a Radial System . . . . . . . . . . . . . . . . . . . . . . 40

    3.4.2 Losses & Capacity Methodology . . . . . . . . . . . . . . . . . . 40

    3.4.3 Test System and Loss Characteristics . . . . . . . . . . . . . . . 42

    3.4.4 Optimal Capacity Allocation with Losses . . . . . . . . . . . . . 44

    3.5 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49

    3.6 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50

    4 Energy Harvesting Networks 514.1 Energy Harvesting Networks . . . . . . . . . . . . . . . . . . . . . . . . 52

    4.1.1 Capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52

    4.1.2 Siting Restrictions . . . . . . . . . . . . . . . . . . . . . . . . . . 53

    4.1.3 Losses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53

    4.1.4 Distributed Generation Load Factors . . . . . . . . . . . . . . . . 54

    4.1.5 Firm & Non Firm Access . . . . . . . . . . . . . . . . . . . . . . 55

    4.2 Methodology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56

    4.3 Test System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60

    4.3.1 System Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60

    4.3.2 Voltage Sensitivity . . . . . . . . . . . . . . . . . . . . . . . . . . 61

    4.3.3 Loss Adjustment Factors . . . . . . . . . . . . . . . . . . . . . . 624.3.4 Effective Load Factors . . . . . . . . . . . . . . . . . . . . . . . . 62

    4.3.5 Available Energy Resources . . . . . . . . . . . . . . . . . . . . . 63

    4.4 Results & Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64

    4.4.1 Energy Allocations . . . . . . . . . . . . . . . . . . . . . . . . . . 64

    4.4.2 Annual Simulations . . . . . . . . . . . . . . . . . . . . . . . . . 66

    4.4.3 Power Quality . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67

    4.4.4 Allocation Costs . . . . . . . . . . . . . . . . . . . . . . . . . . . 69

    4.4.5 Active Control & Dispatch . . . . . . . . . . . . . . . . . . . . . 71

    4.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 72

    5 Impact of Connection Policy on Distributed Generation 735.1 Network Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75

    5.1.1 Annual Simulations . . . . . . . . . . . . . . . . . . . . . . . . . 77

    5.1.2 Costs and Benefits . . . . . . . . . . . . . . . . . . . . . . . . . . 78

    5.2 Test Systems and Energy Resource . . . . . . . . . . . . . . . . . . . . . 80

    5.2.1 Test Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80

    5.2.2 Energy Resource . . . . . . . . . . . . . . . . . . . . . . . . . . . 81

    5.3 System Results & Discussion . . . . . . . . . . . . . . . . . . . . . . . . 82

    5.3.1 Energy Allocations . . . . . . . . . . . . . . . . . . . . . . . . . . 82

    5.3.2 Wind Generation Development Costs . . . . . . . . . . . . . . . 84

    5.3.3 System Costs & Benefits. . . . . . . . . . . . . . . . . . . . . . . 85

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    5.3.4 Net Benefits. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87

    5.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88

    6 Minimum Cost Curtailment for Distributed Generation 896.1 Minimum Cost Curtailment . . . . . . . . . . . . . . . . . . . . . . . . . 90

    6.1.1 Voltage Sensitivities . . . . . . . . . . . . . . . . . . . . . . . . . 91

    6.1.2 Cost of Curtailment . . . . . . . . . . . . . . . . . . . . . . . . . 91

    6.1.3 Curtailment Method . . . . . . . . . . . . . . . . . . . . . . . . . 93

    6.1.4 Operating Constraints of Plant . . . . . . . . . . . . . . . . . . . 95

    6.2 Existing Curtailment Methods . . . . . . . . . . . . . . . . . . . . . . . 96

    6.2.1 Minimum Energy Curtailment . . . . . . . . . . . . . . . . . . . 97

    6.2.2 Minimum Distance Curtailment. . . . . . . . . . . . . . . . . . . 97

    6.2.3 Proportional Curtailment . . . . . . . . . . . . . . . . . . . . . . 98

    6.3 Test System & Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99

    6.4 Results & Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100

    6.4.1 Fixed Voltage Sensitivity & Market Price . . . . . . . . . . . . . 100

    6.4.2 Variable Voltage Sensitivities . . . . . . . . . . . . . . . . . . . . 102

    6.4.3 Variable Market Price . . . . . . . . . . . . . . . . . . . . . . . . 103

    6.5 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105

    7 Conclusion 1067.1 Synopsis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 106

    7.2 Scope for Further Work . . . . . . . . . . . . . . . . . . . . . . . . . . . 108

    References 110

    Appendix: Publications Arising 117

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    Abstract

    Dwindling fossil fuel resources, increasing fuel prices and the liberalisation of electricity

    systems are changing the context in which electric power systems are operated and

    regulated. In particular, concerns about security of supply and reliability along with

    the integration of new energy resources are presenting a number of new challenges

    to system operators. One of the major changes that is being seen is the connection

    of significant levels of generation to the distribution system for the first time. This

    Distributed Generation (DG) is forcing a reexamination of the manner in which the

    distribution system is planned and operated. This thesis presents a number of new

    methodologies to facilitate the large scale integration of DG onto distribution systems.

    To accommodate this new type of generation the existing distribution network

    should be utilised and developed in an optimal manner. A new methodology is devel-

    oped to determine the optimal allocation of DG capacity with respect to the technicalconstraints on DG. The methodology is implemented and tested on a section of distri-

    bution network. Results are presented demonstrating that the proper placement and

    sizing of DG is crucial to the accommodation of increasing levels of DG on distribu-

    tion networks. The impact of DG on losses is also analysed and incorporated into the

    optimal capacity methodology.

    The introduction of DG is also leading to a fundamental change in how distribution

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    V

    networks are utilised and viewed. Distribution networks are now used as a means

    to connect geographically dispersed energy sources to the electricity system, thereby

    converting what were originally energy delivery networks, to networks used both for the

    delivery and harvesting of energy. A further methodology is presented which maximises

    the amount of energy that may be reaped from a given area, while taking account of

    the available energy resources, connection costs, losses, voltage management and the

    technical constraints. The optimal energy allocation is determined for a sample section

    of network, illustrating the implementation of the methodology and the scope for non

    firm access to the distribution network.

    The increased applications for DG present a significant challenge to the existing

    connection policies of distribution network operators. In particular, non firm access to

    the network has been proposed as a method to increase the penetration of DG. The

    impact of the connection policies arising from non firm access are investigated in detail

    here. The Irish system is used as a case study, and with reference to the available energy

    resource and network parameters, the costs and benefits of DG are determined under

    a number of planning policies. The costs and benefits assessed include connection and

    cycling costs along with emissions, capacity value and fuel bill saving. It is shown that

    a significant increase in the net benefits of DG is gained if the appropriate connection

    policy is utilised from the outset and conversely that significant costs are incurred if ad

    hoc policies are employed. Furthermore, it is shown that non firm access has the scope

    to facilitate a significant extra amount of DG capacity.

    Voltage rise has been identified as a key barrier to further DG capacity. Active

    management of the voltage constraint may be possible, leading to a form of constraint

    management at distribution level for the first time. Here a novel method is proposed,

    which minimises the cost of curtailment. It takes advantage of the dispatchable ca-

    pability of certain forms of DG, such as biomass, hydro or landfill gas. There are a

    number of well established methods for congestion management on the transmission

    network. A number of these are applied to voltage management on the distribution

    network and used for comparison with the new minimum cost method. The variability

    of voltage sensitivities and market prices is also investigated, with their impact on the

    cost of curtailment over the year quantified.

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    Acknowledgements

    I would like to thank everyone whose help and support contributed to this thesis. There

    are a number of people who deserve special mention.

    To my supervisor, Prof. Mark OMalley, I must express my most sincere thanks. His

    constant guidance, expertise and support was of tremendous help to me and made this

    a very rewarding and enjoyable time. A better education in not just power engineering,

    but also in the role of the university and academic could not be found.

    I must also express my sincere thanks to ESB Networks for the time I spent there in

    the early days of my research. In particular, I would like to thank Ivan Codd, Derek

    Hynes, Donal Phelan and Tony Walsh for making it such an enjoyable and interesting

    time

    I would also like to thank Prof. Janusz Bialek and Dr. Qiong Zhou of the University

    of Edinburgh for their hospitality during my time in Edinburgh and also for the subse-

    quent fruitful collaboration.

    I would like to acknowledge the valuable role of the sponsors of the Electricity Research

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    VII

    Centre; ESB Networks, Eirgrid, ESB Powergen, Airtricity, Viridian, Cylon and CER.

    I would also like to thank Sustainable Energy Ireland who through the Irish Research

    Council for Science Engineering and Technology have supported my research.

    To all the members of Room 157 with whom I shared my time; Tim, Rebecca, Ronan,

    Gill, Shane, Garth, Alan, Aidan, Ciara, Emma and Ronan. The tea breaks and general

    craic made the days go by much easier. Many thanks to Rose Mary Logue for all the

    encouragement and assistance right from day one. Also, many thanks to Daniel Burke

    for proof reading this thesis. Finally, I must also pay tribute to Eleanor Denny, not

    least for proof reading this thesis, but also for having the patience and good humour

    to put up with an eejit such as myself sitting beside her for a couple of years.

    To my friends and family, especially my parents whose absolute support of my educa-

    tion and endeavours has been a constant for as long as I can remember.

    Finally, to Orla, the endless encouragement and support, even from afar, was of tremen-

    dous help to me. I owe a lot more than a PhD to you. Thank you for everything!

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    Publications Arising

    Journal Publications:

    1. Keane, A., Zhou, Q., Denny, E., Bialek, J., and OMalley, M., Minimum CostCurtailment for Distributed Generation Voltage ManagementIEEE Trans. PowerSyst. (in review), 2007.

    2. Keane, A., Denny, E. and OMalley, M., Quantifying the Impact of ConnectionPolicy on Distributed Generation, IEEE Trans. Energy Conv., vol. 22, No. 1,pp. 189-196, 2007.

    3. Keane, A. and OMalley, M., Optimal Utilisation of Distribution Networks forEnergy Harvesting, IEEE Trans. Power Syst., vol. 22, No. 1, pp. 467-475,2007.

    4. Keane, A. and OMalley, M., Optimal Allocation of Embedded Generation onDistribution networks, IEEE Trans. Power Syst.,vol. 20, No. 3, pp. 1640-1646,2005.

    Conference Publications:

    1. Keane, A. and OMalley, M., Impact of Distributed Generation Capacity onLosses,IEEE PES General Meeting, Montreal, 2006.

    2. Keane, A. and OMalley, M., Optimal Distributed Generation Plant Mix withNovel Loss Adjustment Factors, IEEE PES General Meeting, Montreal, 2006.

    3. Keane, A. and OMalley, M., Impact of Distribution Network Constraints onDistributed Generation Capacity, 40th International Universities Power Engi-neering Conference, Cork, 2005.

    4. Keane, A. and OMalley, M., Optimal Allocation of Embedded Generation on theIrish Distribution network,CIRED 18th International Conference on ElectricityDistribution, Turin, 2005.

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    Acronyms

    Technical Acronyms

    CHP Combined Heat and PowerDG Distributed GenerationELF Effective Load FactorGMC Generation Marginal CostLAF Loss Adjustment FactorLF Load FactorLFG Landfill GasLP Linear ProgrammingLV Low VoltageOPF Optimal Power FlowR ResistanceX ReactanceHz HertzHV High VoltagekA KiloamperekV KilovoltMV Medium Voltage

    MVA Megavolt-ampereMVAr MegavarMW MegawattMWh Megawatt HourROCOF Rate of Change of FrequencySAIDI System Average Interruption Duration IndexSAIFI System Average Interruption Frequency IndexSCA Steel Core AluminiumSCL Short Circuit LevelT&D Transmission & DistributionXLPE Cross Linked Polyethylene

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    X

    Organisation Acronyms

    AER Alternative Energy RequirementAIP All Island ProjectATSDR Agency for Toxic Substances and Disease RegistryBWEA British Wind Energy AssociationCENELEC European Committee for Electrotechnical StandardizationCER Commission for Energy RegulationCIAB Coal Industry Advisory BoardCIGRE International Council on Large Electric SystemsCPUC California Public Utilities Commission

    DCMNR Department of Communications, Marine & Natural ResourcesDNO Distribution Network OperatorDTI Department of Trade and Industry UKEEI Edison Electric InstituteEIA Energy Information AdministrationESB Electricity Supply BoardESBI Electricity Supply Board InternationalESB NG Eirgrid (formerly known as Electricity Supply Board National Grid)ETSU Future Energy Solutions (formerly ETSU)EU European UnionEU ETS European Union Emissions Trading Scheme

    EWEA European Wind Energy AssociationIEA International Energy AgencyIEEE Institute for Electrical and Electronic EngineersOFGEM The Office of Gas and Electricity MarketsNERC North American Reliability CouncilTSO Transmission System OperatorUCTE Union for the Co-ordination of Transmission of ElectricityU.S. DOE United States Department of EnergyU.S. EPA United States Environmental Protection AgencyUN United NationsUNFCCC United Nations Framework Convention on Climate Change

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    List of Figures

    1.1 Share of total world energy consumption (IEA,2006b) . . . . . . . . . . 4

    2.1 T&D levels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

    3.1 Voltage rise effect. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28

    3.2 Optimal allocation methodology . . . . . . . . . . . . . . . . . . . . . . 30

    3.3 38kV 5 bus radial distribution network diagram. . . . . . . . . . . . . . 32

    3.4 Individual bus voltage sensitivities to power injections at buses . . . . . 33

    3.5 Dependence of bus voltages on power injections at bus C. . . . . . . . . 343.6 SCL at 38/110kV station vs. power injections at buses . . . . . . . . . . 35

    3.7 SCL contributions of other buses to Bus B. . . . . . . . . . . . . . . . . 35

    3.8 Network sterilisation effect due to generation at bus A . . . . . . . . . . 37

    3.9 Network sterilisation effect due to generation at bus B . . . . . . . . . . 37

    3.10 Network sterilisation effect due to generation at bus C . . . . . . . . . . 38

    3.11 Network sterilisation effect due to generation at bus D . . . . . . . . . . 38

    3.12 Network sterilisation effect due to generation at bus E . . . . . . . . . . 39

    3.13 38kV 7 bus radial distribution network diagram. . . . . . . . . . . . . . 42

    3.14 No load individual loss characteristics for generation at all buses . . . . 43

    3.15 Loss characteristic for generation at buses B & C . . . . . . . . . . . . . 44

    3.16 Loss & power import/export over a typical day for scenario 4 . . . . . . 47

    4.1 Iterative method . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59

    4.2 38kV 7 bus radial distribution network diagram. . . . . . . . . . . . . . 60

    5.1 System impact methodology. . . . . . . . . . . . . . . . . . . . . . . . . 76

    5.2 Future per-county distribution of installed wind power capacity (%) . . 81

    5.3 DG output as a % of their installed capacity on a sample day . . . . . . 85

    6.1 Different curtailment methods for two generator case . . . . . . . . . . . 96

    6.2 Comparison of biomass output profiles . . . . . . . . . . . . . . . . . . . 102

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    LIST OF FIGURES XII

    6.3 Annual cost of curtailment under all scenarios . . . . . . . . . . . . . . . 105

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    List of Tables

    3.1 Voltage Interdependency (kV/MW) . . . . . . . . . . . . . . . . . . . . 32

    3.2 SC LT x Dependency (kA/MW) . . . . . . . . . . . . . . . . . . . . . . . 33

    3.3 SCL Interdependency (MVA/MW) . . . . . . . . . . . . . . . . . . . . . 34

    3.4 Optimal allocation (MW) . . . . . . . . . . . . . . . . . . . . . . . . . . 36

    3.5 Generation Loss Interdependencies ij (MWloss/MW) . . . . . . . . . . 45

    3.6 Generation Allocations (MW) . . . . . . . . . . . . . . . . . . . . . . . . 45

    3.7 Total Annual Losses (MWh). . . . . . . . . . . . . . . . . . . . . . . . . 48

    3.8 Total AnnualET x (MWh) . . . . . . . . . . . . . . . . . . . . . . . . . . 48

    4.1 Generation Load Factors. . . . . . . . . . . . . . . . . . . . . . . . . . . 54

    4.2 Bus Voltage Sensitivitiesij(kV/MW) . . . . . . . . . . . . . . . . . . . 61

    4.3 Generation Loss Adjustment Factors . . . . . . . . . . . . . . . . . . . . 62

    4.4 Effective Load Factors . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63

    4.5 Energy Resources (MW) & Line Routes to buses (km) . . . . . . . . . . 64

    4.6 Optimal Energy Allocation (MW) . . . . . . . . . . . . . . . . . . . . . 65

    4.7 Bus Allocations PDG (MW) . . . . . . . . . . . . . . . . . . . . . . . . . 66

    4.8 Energy Output (MWh) . . . . . . . . . . . . . . . . . . . . . . . . . . . 67

    4.9 Voltage Quality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68

    4.10 Allocation Costs (e) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69

    5.1 Assumed Energy Resource for the Five Network Sections. . . . . . . . . 82

    5.2 Allocations under the Conn. Policies for the Five Network Sections . . . 83

    5.3 Scaled Allocations under the Conn. Policies for the System . . . . . . . 84

    5.4 Connection Costs for Wind Generation. . . . . . . . . . . . . . . . . . . 85

    5.5 Additional Cycling Costs with Wind Generation . . . . . . . . . . . . . 86

    5.6 Emissions Savings with Wind Generation . . . . . . . . . . . . . . . . . 86

    5.7 Fuel Savings with Wind Generation (PJ). . . . . . . . . . . . . . . . . . 87

    5.8 Net Benefits of Wind Generation (inem) . . . . . . . . . . . . . . . . . 87

    6.1 Curtailed Energy (MWh) under Different Curtailment Methods . . . . . 101

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    LIST OF TABLES XIV

    6.2 Yearly Variance of Voltage Sensitivities2(kV/MW)2 . . . . . . . . . . 102

    6.3 Curtailed Energy (MWh) with Variable Voltage Sensitivities . . . . . . 103

    6.4 Curtailed Energy (MWh) with Variable Market Price . . . . . . . . . . 104

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    CHAPTER1

    Introduction

    THE CONSUMPTION of energy across the world has risen dramatically since the

    start of the industrial revolution. It was at this point in history that the worlds

    fossil fuel resource began to be used intensely for the first time. Since then worldwide

    energy consumption has continued to grow rapidly. We now find ourselves at a turning

    point in our history. We are fast approaching the peak of our consumption of fossil fuel

    and are faced with dwindling fossil fuel resources, particularly oil and gas ( EIA,2006).

    Much of the technological and social development of our world has been based on

    cheap, readily available energy. It has to some extent been taken for granted. This

    is now changing as we are faced with increasing prices for oil and gas and increasing

    concerns about security of supply (DTI, 2006a). This has forced a reexamination of

    how we both consume and harvest energy. Increasing demand for an increasingly scarce

    resource inevitably results in a rise in price. There is rising global demand for energy

    as India, China and other countries rapidly grow their economies. Global demand for

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    Chapter 1. Introduction 2

    natural gas is projected to increase nearly twofold by 2030. Hopes of reducing the global

    demand for energy are not realistic. The main reserves of oil and gas are concentrated

    in a few regions of the world: Russia, Central Asia, the Middle East, and Africa. Two

    countries, Russia and Iran account for nearly half the worlds proven gas reserves (DTI,

    2006b). Increased efficiency in both the conversion and transport of energy is possible,

    but is only worthwhile if the efficiencies gained outweigh the cost. Another option is to

    use alternative sources of energy. A number of energy resources which had previously

    been disregarded by governments are now coming back into vogue. Nuclear energy is

    now firmly back on the agenda in the UK as can be seen from the UK energy review in

    July 2006 (DTI,2006b). There are also plentiful resources of coal remaining and new

    technologies have been developed to reduce its harmful emissions (CIAB,2006).

    The upward trend in fuel prices is likely to continue as the global fossil fuel resources

    become more depleted (EIA, 2006). The increasing concentration of remaining fossil

    fuel resources in certain regions may also make fossil fuel prices more volatile. The

    future fossil fuel price characteristics will have a significant impact on electricity indus-

    tries and the societies that rely on them. In addition to looking at energy resources such

    as nuclear or coal, the search is now on to harness new forms of energy, which have not

    previously been utilised. Concerns about global warming are a significant driver for re-

    newable energy sources. The international community is taking the first steps towards

    addressing this problem with initiatives such as the Kyoto Protocol (UNFCCC,1997)

    and the European emission trading scheme (EU ETS,2005). Increasing the proportion

    of electricity served by renewable sources is cited as a means to reduce greenhouse gas

    emissions and reduce the reliance on fossil fuels (Zervos,2003;Neuhoff,2005).

    A number of renewable energy resources are being considered as part of the solution

    to the worlds energy problem. There are various forms of renewable energy, each at

    varying stages of development. The most well developed form of renewable energy is

    hydro power, which harnesses the energy of moving water in rivers. This is a well estab-

    lished technology which has been employed since early in the 20th century. Indeed, the

    majority of renewable energy produced worldwide is from hydro (IEA,2006a). With

    reference to Ireland, the first electricity generator on the Irish system was a hydro

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    Chapter 1. Introduction 3

    power station at Ardnacrusha, built in 1926 (Duffy, 1990). However, in Ireland and

    many other countries the available hydro resource has been almost completely utilised.

    Of the other renewable energy resources, wind energy is the most advanced with increas-

    ing penetrations of wind energy being seen in power systems across the world (EWEA,

    2006). Two other forms of renewable energy are tidal and wave generation. Both

    are still in the developmental stage, but do have the potential to make a significant

    contribution to the worlds energy needs (Bryans et al., 2005; Polinder and Scuotto,

    2005). Landfill gas (LFG) is another energy resource, if somewhat limited, that is be-

    ing utilised. It involves the burning of methane at landfill sites that results from the

    decomposition of organic matter. Landfill gas energy facilities capture the methane

    (the principal component of natural gas) and combust it for energy (EIA,2005). It is

    considered a green form of generation as the methane gas burned, which is a greenhouse

    gas, would have to be released into the atmosphere anyway. Biomass is, in its various

    forms, now being seriously considered as an energy source. Biomass energy is derived

    from two main energy sources: wood and alcohol fuels. It has previously been utilised

    for industry residue, such as in sawmills (EIA,2005). Photovoltaics are another tech-

    nology still largely in the developmental stage, although there are some installations

    internationally (CPUC, 2006). All of these alternative energy resources are likely to

    increase in utilisation and contribute to the worlds energy requirements in the coming

    years.

    1.1 Electric Power Systems

    Electricity demand is growing the fastest of all the energy consumed worldwide. From

    Figure 1.1, it can be seen that in 1973 electricity accounted for 9% of global energy

    consumption. This had grown to 16% by 2003, reflecting the growth of modern indus-

    trial society. This rise in the use of electricity is closely linked to the development of

    countries. It is a trend which is almost certain to continue into the future.

    It is predicted that the worlds net electricity consumption will double from 14,781

    billion kWH in 2003 to 30,116 billion kWh in 2030. Non-OECD countries account

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    Chapter 1. Introduction 4

    Figure 1.1: Share of total world energy consumption (IEA,2006b)

    for 71% of the projected growth and OECD countries 29% (EIA, 2006). This trend

    has increased the importance of electricity networks and how they are operated and

    planned. It has focused the attention of policymakers and politicians on how this

    asset is being managed. The evolution of the electricity industry over the last 120

    years has mainly been a technical one. Traditionally, electricity systems have been

    run by vertically integrated utilities with the focus on the engineering aspects rather

    than economic issues. This usually led to a high quality of supply for the consumer

    but perhaps at the expense of cost effectiveness. A number of recent drivers have

    altered this situation. For example, in accordance with EU Directive 03/54/EC all EU

    countries are in the process of opening up their electricity sector to competition ( EU,

    2003), in particular for generation.

    It is the responsibility of the system operator to plan and develop the electric power

    system, schedule and dispatch generation, operate the electricity market and ensure

    system security. System operators are now faced with the challenge of maintaining

    the high quality of supply that consumers expect while faced with volatile fuel prices,

    dwindling and increasingly insecure energy resources and the integration of new forms

    of energy. These issues when dealt with in a liberalised market situation are not merely

    technical but also economic. As such, due consideration must be given to costs at every

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    Chapter 1. Introduction 5

    stage of planning and operating the system. The electric power system is an energy

    transport network and with the predicted large growth in electricity demand, it is likely

    to become an even more important energy transport system.

    1.1.1 Transmission & Distribution of Electricity

    In most typical power systems, power is generated at a number of large centralised

    power stations. The transmission and distribution (T&D) system is used to transport

    this centrally generated power to the consumer, be they industrial or domestic. As a

    result, the primary mission of the T&D systems is to deliver energy to consumers at

    their place of consumption in a ready to use form on a continuous basis (Willis,2004).

    The requirement of continuity leads to very high standards of reliability. Reliability

    of supply is defined as the ability to supply adequate electric service on a nearly con-

    tinuous basis with few interruptions over an extended period of time (IEEE/CIGRE,

    2004). With this in mind it is worth noting that providing supply for 99.90% of the

    time is an unacceptable level of reliability in any first world country. As a result of

    this onerous task, the electric power system is extremely complex. It is essentially one

    machine, in many cases reaching across national borders, consisting of multifarious in-

    teracting components (UCTE, 2006). The task of running the power system remains

    as complex as ever and is constantly facing new challenges. This thesis deals with one

    of the major new challenges facing system operators - Distributed generation (DG).

    1.2 Distributed Generation

    The drivers detailed above regarding the liberalisation of electricity systems, the push

    for renewable energy and dwindling fossil fuel resources are leading to changes in the

    planning and operation of electric power systems. As new forms of energy connect,

    new methodologies for planning and operating the power system are required, dealing

    with issues ranging from system dynamics to longer term considerations, such as plant

    mix (Doherty and OMalley,2005;Laloret al., 2005). One of the main changes being

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    Chapter 1. Introduction 6

    seen in power systems across the world is the increased proliferation of what is known

    as distributed generation (Jenkinset al., 2000). It is so called given its geographical

    distribution throughout the system and its connection to the distribution system. It is

    also known as embedded generation and dispersed generation, but for the purposes of

    this thesis, the term distributed generation will be used.

    There are a number of definitions of DG across the world (Ackermann et al.,2000).

    Put simply however, DG can be defined as small scale generation, which is connected

    to the distribution network. Edisons Pearl St. generator consisted of a steam-engine-

    driven dc generator and supplied 59 customers in an area roughly 1.5km in radius (EEI,

    2005). It was not only the first example of an electric power system but perhaps also the

    first example of a distributed generator. DG can take the form of renewable generation

    or small scale conventional units. There is a difference in emphasis between Europe and

    North America. In the US, DG has been proposed as a sustainable and competitive

    form of generation, not just restricted to renewable energy. In light of the recent

    blackout in New York, it is proposed as a significant part of the solution to improve

    both security and reliability of supply, with islanded operation of DG on microgrids a

    real prospect for the future (U.S. DOE, 2000). In Europe however, it is viewed more

    as renewable generation, which is given priority dispatch and should be accommodated

    where possible. Nonetheless, across both continents increasing penetrations of DG are

    being seen.

    In recent years, there have been increasing volumes of applications for access to the

    distribution system. In particular, in Ireland at the end of 2004, applications received

    by the system operators concerned the connection of approximately 2,500MW of wind

    generation. A significant amount of this capacity is to be distribution connected. Wind

    farms with a rating less than 30MW are suitable for connection to the distribution

    system, given the lower cost of connection for the generator and their relatively small

    capacity. This new wind capacity is in addition to approximately 500MW of previously

    contracted wind farm capacity and approximately 100MW of other forms of DG such

    as landfill gas (LFG) and hydro. In a country with a peak load of approximately

    4,945MW this is an extremely large amount of DG to integrate into the distribution

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    Chapter 1. Introduction 7

    system (CER,2004a;Eirgrid,2007).

    The increasing penetration of DG is changing the role of distribution systems. Whatwere originally passive networks purely for the delivery of electricity to the consumer,

    are now networks that are being utilised for the harvesting of energy from a myriad

    of distributed energy resources. The increased proliferation of these distributed gen-

    erators has lead to changes in the characteristics of the network, with more variable

    and bidirectional active and reactive power flows. These generators are altering the

    technical characteristics of the networks, and pushing them to operate closer to their

    limits of safe and reliable operation. As a result, the need for distribution networks to

    operate at their maximum capacity is being felt particularly with DG. In many coun-

    tries the generator must pay for any distribution network reinforcements required for

    connection. This can present a considerable cost to the generator and may be a barrier

    to further DG penetration. As a result, the available capacity of the existing network

    should be utilised fully.

    1.3 Focus of Research

    The focus of the research in this thesis is on the integration of DG, in particular,

    the planning and operation of distribution systems with significant penetrations of

    DG. It is focused on the technical issues that arise when connecting generation to the

    distribution system. The overall approach adopted attempts to maximise the amount

    of DG with the least cost to society. It takes account of the technical constraints which

    present a barrier to further DG penetration. A number of methodologies are developedwhich challenge the existing methods used by network operators when processing DG

    applications. In particular, it assesses the optimal way to plan for increased integration

    of DG, through maximisation of energy, while taking due account of capacity, losses

    and costs. The operation of DG is also considered with regard to active constraint

    management.

    The first step in any research project is to undertake extensive reading in the topic

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    Chapter 1. Introduction 8

    of interest and in so doing determine the main issues relating to the topic, in this

    case the integration of DG. In Chapter 2these issues are discussed along with a brief

    description of the Irish distribution network. The chapter also includes a literature

    review of publications dealing with the challenges posed by DG.

    One of the main issues arising with regard to DG is the available capacity on the

    existing network. In Chapter3 the optimisation of DG capacity is addressed. All rel-

    evant technical constraints are modelled and a methodology for maximising the DG

    capacity that may be connected to the existing distribution network is developed. It

    is shown that a significant increase in DG capacity is possible and that the effect of

    network sterilisation is potentially severe. The voltage constraint is identified as the

    main barrier to further DG penetration in rural distribution systems. The issue of

    losses and DG is also addressed. The initial aim of including losses was to extend the

    scope of the methodology to beyond that of just capacity. It was felt that while there

    were clear benefits to pursuing a capacity maximising strategy, there were other consid-

    erations that should also be considered. In Section3.4 the methodology is extended to

    include the minimisation of losses when allocating DG capacity. One of the main issues

    arising out of the losses analysis was that to capture fully the impact of DG on losses,

    consideration of energy rather than just capacity was necessary. As a supplement to

    the capacity analysis of losses, an annual simulation of the network is employed to

    demonstrate the impact of losses over the whole year. Further to this, it became clear

    that issues such as plant mix had a considerable bearing on not just losses but also on

    maximising the benefit from DG.

    It is evident that considering losses and capacity on their own is not sufficient

    to maximise the benefit from DG and that there are other significant factors to be

    considered. The idea of maximising energy rather than just capacity presents itself as

    one way of increasing the benefits of DG. One specific aspect of maximising energy is

    the issue of non firm access. In Chapter4,the issue of firm vs. non firm access for DG

    is discussed. The DG plant mix is considered and a new methodology which maximises

    the energy harvested from DG is developed. In addition, the resulting connection costs

    are considered and account is taken of the temporal variations of DG. In particular,

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    Chapter 1. Introduction 9

    voltage sensitivities are employed to minimise the voltage rise on the network and hence

    reduce the instances of overvoltage over the year. In addition, novel loss adjustment

    factors are developed to take account of the average impact of DG on losses. Annual

    simulations are utilised once more to test the effectiveness of the methodology.

    The consideration of a non firm connection policy on a single section of network

    in Chapter4gives rise to the further question of the impact of DG connection policy

    on the whole system. In Chapter5 an assessment of the impact of connection policy

    on the system net benefits is undertaken. Costs and benefits such as cycling, capital

    and connection costs along with fuel and emissions savings are examined. Through

    the analysis of representative sections of network and with reference to network and

    energy resource data, the local results are scaled to a national level with system costs

    and benefits of DG under a number of connection policies determined.

    The final part of the research for this thesis resulted from collaboration with the

    Institute for Energy Systems at the University of Edinburgh. Whereas the previous

    chapters in the thesis detail aspects of DG planning, this chapter is focused on the

    operation of DG. In Chapter 6, DG operational issues are addressed, specifically, theoperation of a voltage management scheme for DG is investigated. A number of existing

    congestion management methods used on the transmission system are applied to the

    distribution system and a novel approach is developed taking account of the cost of

    curtailment. The voltage sensitivity factors used in the analysis vary, depending on

    the operating condition. The variability of these sensitivities is investigated and the

    impact of the variability on the curtailment method determined.

    General conclusions regarding the entire work are given in Chapter 7 along with

    suggestions for further work.

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    CHAPTER2

    Distributed Generation

    THERE are a number of concepts which govern the transmission and distribution

    of power, some of which are given here (Willis,2004).

    1. Power is more economical to produce in very large amounts

    2. It is more economical to move power at high voltage

    3. The higher the voltage, the greater the capacity and the greater the cost ofotherwise similar equipment

    These concepts lead to the structure of the power systems that exists today. The

    structure is a hierarchical system of voltage levels used to transport the power from bulk

    generation sources to the consumer. The power is transported from the power plants

    at high voltages, which are gradually stepped down as the power nears the consumer.

    10

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    Chapter 2. Distributed Generation 11

    These voltage levels lead to different parts of the system being classed as shown in

    Figure2.1. The voltage levels shown are the voltage level used on the Irish system.

    Figure 2.1: T&D levels

    The transmission system interconnects all the major generating stations and load

    centres. It is operated at high voltage, (typically 110kV). The distribution system

    comprises everything below this level (

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    Chapter 2. Distributed Generation 12

    has implications for the three guiding concepts of T&D systems given above. The first

    concept was that it is more economical to produce electrical power in large amounts.

    This is also being somewhat challenged, in that it is now proving economical to produce

    power from distributed energy resource. Secondly, it is more economical to move power

    at higher voltage and this has lead to a relatively small number of large centrally

    operated generation plants in systems. The increased proliferation of DG means that

    there is less need for these high voltage networks as the generation may be connected

    more cheaply to the lower voltage network, which is in turn closer to the load. Secondly,

    it is still true that the higher the voltage the higher the capacity and cost, but it is

    because of this very fact that smaller generators are now connecting to the distribution

    system.

    There are three basics principles of distribution planning (Willis, 2004). Firstly,

    the system must reach the end consumer, i.e. there must be a line connecting the

    consumer to the network. This factor shapes the structure of the system and leads to

    many of the constraints and challenges faced by power distribution planners. Secondly,

    the system must have enough capacity to meet peak demand, i.e. the system must be

    planned to meet all extreme operating points rather than the average. Thirdly, the

    reliability of supply must be kept at very high levels. Reliability of 99.975% is typically

    required in most distribution systems, i.e. approximately 2 hours of service interruption

    is acceptable each year. To achieve this level of reliability requires protection, control

    equipment and a level of redundancy. All of this leads to reliability accounting for 50%

    of the cost of most T&D systems (Willis,2004).

    The combined result of these three principles was that distribution systems and

    the whole power system was highly developed with a larger degree of redundancy built

    into it. However, with the liberalisation of the electricity industry and the introduc-

    tion of electricity markets, these principles are being influenced by the need for cost

    effectiveness. DG is now connecting and it has now become necessary to operate the

    distribution system closer to its maximum capacity (Kersting,2002). This pressure to

    get more out of the existing assets can pose problems in terms of security of supply

    and reliability. Operating a system closer to its limits is not inherently detrimental,

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    Chapter 2. Distributed Generation 13

    but it does inevitably lead to a number of network issues or constraints which should

    be considered.

    2.1 Distributed Generation Network Issues

    2.1.1 General Planning & Operational Issues

    The introduction of DG alters the characteristics of the distribution system. A number

    of technical constraints and factors arise which are impacted by the amount of DG that

    is connected. These issues are:

    Equipment Ratings

    Short Circuit Level

    Short Circuit Ratio

    Voltage Rise

    Losses

    Power Quality

    Reliability

    Protection

    2.1.1.1 Equipment Ratings

    The rated current of the lines must not be exceeded. Under standard voltage levels and

    power factor conditions the rated current of the line can be translated directly into a

    rated active power for that line. There is also the constraint of the transformer rating,

    where the amount of generation connected minus the minimum load must not exceed

    the transformer rating.

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    Chapter 2. Distributed Generation 14

    2.1.1.2 Short Circuit Level (SCL)

    The magnitude of the transient voltage drop experienced at the buses in a network is

    an indication of the strength of the system. In this manner the SCL is a measure of

    the strength or robustness of a system (Elgerd,1971). The SCL of a system refers to

    the current that results when there is a fault on the system. Generators, depending

    on the type of electrical machine employed, may contribute to the SCL. An increase in

    the SCL is generally favourable as it will increase the strength of the system. Although

    it must be ensured that the short circuit level does not exceed the rating of breakers

    and other equipment and this poses a hazard to the safe operation of the network.A maximum short circuit rating for all equipment is laid down in distribution codes

    (ESB Networks, 2002). Previous work has shown it to be a significant factor to be

    considered with DG (Vovos et al.,2005).

    2.1.1.3 Short Circuit Ratio (SCR)

    The short circuit ratio is the ratio of generator power to the short circuit level ( Taylor,1994). It gives an indication of the voltage dip experienced near the generation in the

    event of a feeder outage. The connection of induction generators to high impedance

    circuits may lead to voltage instability problems if the SCR is not kept within acceptable

    limits. The dip in wind farm terminal voltage that results from a fault leads to an

    acceleration of the induction generator, leading to overspeed (Holdsworthet al.,2001).

    If the speed is increased to a level above the critical value, the generator will accelerate

    out of control. This may lead to voltage collapse as the induction generator absorbs

    more reactive power (Akhmatovet al.,2000). If the short circuit level is large enough,

    the transient voltage dip will be limited and the system will remain stable.

    2.1.1.4 Voltage Rise

    If DG is connected to a network section, it will alter the active and reactive flows and

    hence change the voltage dropped along the lines. It has been shown that DG leads

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    Chapter 2. Distributed Generation 15

    to a significant voltage rise at the end of the long, high impedance lines (Dinic et al.,

    2006;Masters,2002). A rise in voltage occurs if there is low demand and high genera-

    tion, which leads to a large amount of power flow along lightly loaded lines with high

    impedance. This problem is particularly acute in rural areas, where demand tends to

    be low. In addition, the resistive element of the lines on distribution systems is higher

    than other lines. This leads to an X/R ratio of 5 rather than a more typical value of

    between 10 and 20 on transmission systems. This only serves to exacerbate the voltage

    rise problem.

    2.1.1.5 Losses

    Losses are an important consideration when designing and planning the distribution

    system. Losses are inevitable on any network, however, the amount can vary consid-

    erably depending on the design of the network. With the introduction of distributed

    generation, the network is being utilised in a different way with more variable and bidi-

    rectional power flows. The level of losses is closely linked to the power flows. Losses are

    a function of the square of the current, i.e. a doubling in current results in losses beingquadrupled. Therefore the allocation of DG and the altered power flows that result

    may have a significant impact on losses and may provide an opportunity to ameliorate

    them.

    2.1.1.6 Power Quality

    DG can have a considerable impact on power quality within the distribution system.Voltage flicker refers to dynamic variations in the system voltage. It can be an issue with

    wind power, given the variable nature of its energy source. However, the development

    of more sophisticated turbines has reduced the severity of flicker, due to the increased

    filtering effect of the generators. Some forms of DG may employ power electronic

    converters to interface with the system. This can alter the harmonic impedance of

    the system and care must be taken at the design and planning stage. In particular,

    there is the potential for resonances between capacitors or cables, which may have a

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    Chapter 2. Distributed Generation 16

    detrimental effect on the operation of the generator. There are standards which dictate

    the acceptable levels of each of these quantities, which must be adhered to (CENELEC,

    1994). DG also has the potential to improve the power quality, through its contribution

    to the short circuit level.

    2.1.1.7 Reliability

    Reliability has always been an important issue for system planners and operators

    (Jenkinset al., 2000). Reliability can be measured by the indices of SAIFI (System

    Average Interruption Frequency Index) and SAIDI (System Average Interruption Dura-

    tion Index), which measure the average frequency and duration of supply interruptions

    respectively. With the advent of DG, new reliability models and methods of assessing

    distribution reliability have been proposed. In particular, a number of probabilistic

    techniques have been proposed as opposed to the traditional deterministic approaches

    used (Allanet al., 1999;Billinton et al., 2001). In addition, the possibility of islanded

    operation of DG sources has also been discussed, with particular regard to dispatchable

    forms of DG (IEEE,2003).

    2.1.1.8 Protection

    The majority of protection systems for distribution network operate based on unidi-

    rectional power flows from the transmission network down through the lower voltage

    networks (Jenkinset al.,2000). As mentioned previously DG is changing the flows on

    the network. This can lead to problems with the operation of the protection system suchas false tripping (Wallace, 1999) another issue encountered with DG is loss of mains

    detection or islanding. Two techniques for loss of mains are normally used. These are

    vector shift and rate of change of frequency (ROCOF). ROCOF is the most common

    form of loss of mains protection used as it may be used with induction generators.

    Induction generators are the most common machine type used with wind generation.

    ROCOF operates based on the resulting change in frequency from the loss of grid sup-

    ply. There are however a number of performance issues associated with ROCOF relays

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    Chapter 2. Distributed Generation 17

    as detailed inBeddoes et al.(2005). New methods of islanding detection have also been

    proposed which are designed to work effectively with DG (Jang and Kim,2004).

    2.1.2 Irish Distribution Network

    In Ireland, DG is typically connected at 38kV or MV (10kV or 20kV)(PB Power,2004).

    The vast majority of applications for connections are wind farm projects. These wind

    farms are typically located in remote areas where there is very little existing network

    and also very little demand for electricity.

    In Ireland and other countries, voltage rise tends to be the dominant constraint and

    quite often the critical factor when offering capacity on the network. This is due to

    the existing network in Ireland, which outside Dublin is typically a weak rural network

    with a large amount of conductor. A weak network means a network with a low SCL

    or fault level. There is approximately 159,000km of distribution network in Ireland.

    These long stringy networks are not equipped to support a large amount of generation.

    Due to these high impedance lines, the sending voltage at the transmission station is

    usually set to a higher than nominal value (i.e. 41kV at 38kV) to ensure the voltage is

    within standard at the end of the line when no generation is present, thus maximising

    the load that can be supplied from these networks. Within each voltage level there are

    a number of options for connecting generation into the system. These are:

    Direct feed to 110kV/38kV or 110kV/MV station

    Direct feed to 38kV/MV station

    Tee connection onto existing line

    If the capacity of a project is less than 5MW, connection to the MV network may

    be possible and is typically cheaper. Tee connections are not generally permitted as

    they can lead to a decrease in the security of the system.

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    Chapter 2. Distributed Generation 18

    2.2 Literature Review

    The promise of a new dawn of widespread DG sources proliferated throughout distribu-

    tion systems has lead to a certain degree of hype in the electricity industry. Nonetheless,

    DG does offer many benefits as well as presenting numerous challenges. A large amount

    of research has been carried out investigating the impact of DG. A selection of the more

    relevant publications is given here.

    A number of publications have looked at optimising the placement and sizing of

    DG based on various criteria. InWallace and Harrison(2003), the authors employ an

    optimal power flow (OPF) technique to maximise DG capacity with respect to voltage

    and thermal constraints. Short circuit levels, short circuit ratio, equipment ratings and

    losses are not considered. The effect of network sterilisation is clearly demonstrated

    by comparison between allocating generation to buses individually rather than as a

    group. In Vovos et al. (2005), a method is presented utilising OPF for the allocation

    of generation capacity, which includes a detailed fault level constraint. InKuri et al.

    (2004) genetic algorithms were used to place generation such that losses, costs and

    network disruption were minimised and the rating of the generator maximised. The

    constraints considered were voltage, thermal, short circuit and generator active and

    reactive power capabilities. Generation is placed in single units at individual buses,

    while ignoring the interdependence of the buses and the network sterilisation that can

    result from improper DG placement. In El-Khattamet al. (2004) the authors use a

    heuristic approach to determine the optimal DG size and site from an investment point

    of view. Once again short circuit constraints are not considered and the focus of the

    objective function is on optimal investment rather than maximising renewable energy.

    It uses a cost benefit analysis to evaluate various placements of DG. In Duganet al.

    (2001), a planning process that considers DG as well as more conventional options is

    presented. DG investment in considered under a number of load growth scenarios,

    with its benefit found to vary between each scenario. However, it is still found to be

    a useful factor to be considered in the distribution planning process along with other

    more conventional options such as network reinforcement.

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    Chapter 2. Distributed Generation 19

    Other publications have focused on reliability aspects of DG. InCelli et al. (2005),

    a multiobjective planning strategy is presented using a genetic algorithm to identify the

    best compromise DG sizing and siting. InChowdhury et al.(2003), a probabilistic relia-

    bility model is presented to determine the impact of DG for use in distribution planning

    studies. InMcDermott and Dugan(2003), the impact of DG on reliability and power

    quality is measured. Reliability and power quality indices were applied to a sample

    feeder to assess the impact. Work has also been done evaluating the contribution of wind

    generation, in particular, to reliability (Clark and Miller,2006;Karki et al.,2006). The

    issues of load growth and load patterns in distribution planning are discussed in Willis

    (2004) and a multi stage approach to planning is described in Kuwubara and Nara

    (1997). InQuezada et al. (2006), the amount of losses incurred with increasing pene-

    trations of various DG sources is examined. InWang and Nehrir (2004), the authors

    propose a method which places DG at the optimal place along feeders and within net-

    worked systems with respect to losses. The allocation of losses to distributed generators

    in the network has been addressed inCosta and Matos(2004). Previous work has at-

    tempted to quantify the net benefits of DG (Chiradeja and Ramakumar,2004), where

    a number of benefits such as reduced losses and voltage profile were assessed.

    A number of the operational issues surrounding DG have also been addressed in

    the literature. Congestion management is well established on transmission systems,

    with existing schemes in place (NERC, 2006; Christie et al., 2000). However, given

    their traditionally passive nature, constraint management on distribution networks

    is much more unusual. Increasing penetrations of wind generation are also leading

    to the necessity of constraining wind generation at critical times (CER, 2004b). In

    Sveca and Soder(2003), methods to estimate the amount of wind power that could be

    installed in areas with congestion problems are presented. The methods are applied

    to the Swedish transmission network and the cost of the spilled energy is determined.

    Other work has focused on the coordination of wind and hydro plant, with the hydro

    plant being used as storage. The objective was to maximise the generators profit and

    to smooth out the combined output of the generators (Castronuovo and Lopes,2004).

    In University of Strathclyde (2004), the operation of a proposed active management

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    Chapter 2. Distributed Generation 20

    scheme is investigated on the Orkney islands in Scotland. The feasibility and benefits

    of non firm access are highlighted, as are the potentially complex operational issues

    surrounding the implementation of such a scheme. InZhou and Bialek(2007), the is-

    sue of the operation of curtailment on the distribution network is addressed, with a

    number of curtailment methods compared and the calculation of voltage sensitivities

    examined. The influence of losses on the curtailment rules is also taken account of.

    Previous work has examined the impact of distributed resources on congestion man-

    agement on the transmission network in terms of contribution factors (Liuet al.,2005).

    In Furusawa et al. (2006), the use of customer side generation to provide congestion

    relief on the transmission system is examined. Other work has focused on the reliability

    worth of DG (Bae et al.,2004) and the consideration of an optimal operating strategy

    for DG on an hourly basis. Other operational issues have been investigated such as in

    El-Khattamet al. (2006), where a Monte Carlo simulation is employed to assess the

    impact of all possible DG operation conditions on the system. In Kashem and Ledwich

    (2005), the operational issues of using multiple DG sources for voltage support are

    examined with a number of recommendations made.

    The voltage constraint has been demonstrated to be the dominant constraint in a

    number of circumstances and hence limit to further DG capacity (Masters, 2002). It

    has traditionally been assessed at an infrequent N-1 peak condition. While infrequent,

    it is important for the operation of the system that the voltage stays within its limits.

    Existing generators of all types have the ability to ramp down their output if required

    to do so and this capability has been proposed as method of actively managing the

    constraint breaches. In addition a number of innovative voltage control techniques

    have been proposed to solve the voltage rise effect (Hirdet al., 2004;Hill et al., 2005;

    Shafiuet al., 2004;Dinic et al.,2006), along with solutions to the other technical con-

    straints such as the short circuit level (Collinsonet al.,2003).

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    Chapter 2. Distributed Generation 21

    2.3 Conclusion

    It is evident from the selection of publications mentioned above that a considerable

    body of work has been carried out into the integration of DG. It is also apparent that

    the integration of DG has a number of significant impacts on planning and operation

    of distribution systems. As mentioned in Section1.3,one the big issues for DG is the

    utilisation of the available network capacity. It is this topic that is the focus of Chapter

    3.

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    CHAPTER3

    Optimal Capacity

    THIS chapter addresses the issue of the available generation capacity for DG on the

    existing distribution system. A new methodology is developed which allocates

    the capacity optimally. There is the prospect of the distribution network developing

    from a passive network to an active one in order to facilitate increasing levels of dis-

    tributed generation (Liew and Strbac,2003). If this is to be the case a number of steps

    should be followed. Firstly, best use should be made of the existing distribution network

    by optimal allocation of DG. Secondly, the development from passive to active shouldbe planned optimally with all relevant factors taken into consideration. Traditionally,

    DNOs have allocated available generation capacity on a first come first served basis.

    However, the placement of generation on a first come first served basis invariably limits

    the overall capacity of distributed generation (Wallace and Harrison, 2003). Here, a

    new methodology is developed to determine the suitable locations and ratings for DG

    on distribution networks with respect to the technical constraints, which will enable

    22

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    Chapter 3. Optimal Capacity 23

    a high penetration of generation on the network and avoid network sterilisation. Net-

    work sterilisation results when capacity is allocated to the bus/buses whose voltage,

    short circuit levels and/or short circuit ratio are most sensitive to power injections.

    Thus, no more generation can be connected as the buses are constrained. Further, the

    methodology is developed to include losses. The minimisation of losses is included and

    the issues surrounding DG plant mix are initially investigated.

    The basis for the new methodology is in exploiting the interdependence, if any, of

    the buses with regard to the technical constraints. The constraints all have either linear

    or approximately linear characteristics with respect to increasing power injections or

    they place a fixed and independent limit on the power injection. The methodology

    described here determines the optimal allocation with respect to all of the relevant

    technical constraints. Optimal allocation ensures better use of the existing assets and

    achieves a higher penetration of DG in a cost effective manner. In Section 3.1, the

    technical constraints on DG are outlined and the development of the optimal capacity

    methodology is explained. A section of the Irish distribution network is modelled in

    DIgSILENT Powerfactory using network data obtained from the distribution network

    operator (DNO). The methodology is tested on this section and results and discussion

    are shown in Section 3.3, which illustrate how network sterilisation is avoided if DG

    is optimally allocated. In Section 3.4 losses are described. In Section 3.4.2 the for-

    mulation of an objective function with losses included and the extended optimisation

    methodology are outlined. Results are shown in Section 3.4.4 illustrating the effects

    that DG can have on losses. The results show that the absolute maximisation of DG

    capacity does not always lead to the maximisation of energy serving load. Discussion

    of the results is in Section 3.5and conclusions are given in Section3.6.

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    Chapter 3. Optimal Capacity 24

    3.1 Optimal Capacity Allocation Methodology

    3.1.1 Objective Function

    The objective is to maximise generation capacity subject to the constraints outlined

    below. This methodology ensures optimal use of the existing network assets, thus

    helping to meet the renewable energy targets in a cost effective manner. Generation

    capacity should be allocated across the buses such that none of the technical constraints

    are breached and the capacity maximised. Therefore the proposed objective function

    is as shown in Equation (3.1).

    J=N

    i=1

    PDG i (3.1)

    WherePDG i is the DG capacity at the ith bus andNis the number of buses. Without

    loss of generality, it is assumed that there is one generator connected at each bus.

    The objective function J (MW), given in Equation (3.1) is maximised subject to the

    constraints, which are formalised below. These constraints were discussed previouslyin Section2.1.

    3.1.2 Equipment Ratings

    3.1.2.1 Transformer Capacity

    The amount of generation connected minus the summer valley load must not exceed the

    rating of the transformer at the higher voltage. If there is some existing generation then

    this must be subtracted from the total. The result is the remaining capacity available

    below that station. In the case of two parallel transformers, the capacity is taken as

    the rating of the smaller transformer plus the summer valley load. The constraint is

    expressed formally as in Equation (3.2).

    PT x PTrafoCap. (3.2)

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    Chapter 3. Optimal Capacity 25

    Where PT x refers to power flow through the transmission substation transformer and

    PTrafoCap refers to the rating of that transformer.

    3.1.2.2 Thermal Constraint

    This is a stand alone constraint, simply put the rated current of the lines must not be

    exceeded. It is given by Equation (3.3).

    Ii < IRatedi i N. (3.3)

    Where Ii is the current flowing from generator i to bus i and IRatedi is the maximum

    rated current for the line between each generator and its corresponding bus. Under

    standard voltage and power factor conditions the rated current of the line can be

    translated directly into a rated active power for that line.

    3.1.3 Short Circuit Level

    A maximum short circuit rating for all equipment is laid down in distribution codes

    (ESB Networks, 2002; OFGEM, 2006). A short circuit calculation is carried out to

    ensure that this constraint is not exceeded as the level of installed capacity increases.

    The short circuit level (SCL) is highest at the transmission system bus. Buses close to

    this bus may find their capacity limited as a result. The constraint is given by Equation

    (3.4).

    SC LT x< SCLRated. (3.4)

    Where SC LT x is the short circuit level at the transmission substation busbar and

    SC LRatedis the highest current that switchgear can safely break under fault conditions.

    The contribution of increasing levels of generation at each bus to SCLT x is determined

    by short circuit analysis. The SCL contributions of generation at each bus are combined

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    Chapter 3. Optimal Capacity 26

    and formalised into an algebraic equation as shown in Equation (3.5).

    Nj=1

    jT xPDG j+ T x SC LRated. (3.5)

    WherejT xis the dependency of the SCL at the transmission station to power injections

    at bus j , i.e. the slope of the SCL vs. power injection characteristic of the j th bus as

    shown later in Figure3.6. PDG j is the power injection at thejth bus, T xis the initial

    SCL at the transmission bus with no generation present.

    Equation (3.5) is a very accurate model of the short circuit characteristics when an

    intelligent choice of the range for calculation of the slopes is made. The optimisation

    is initially calculated with respect to the constraints as outlined. The initial range for

    calculation of the slopes is selected such that the fixed limit constraints are satisfied.

    The allocation calculated by the optimisation algorithm for each bus is then used as the

    new range over which to recalculate the slopes for the SCL constraint, thus improving

    the accuracy of the dependencies. When the optimisation is recalculated with the

    new dependencies it has been found that it gives a very similar answer to the initial

    allocation. It is found that the linear approximation is adequate, but that the iteration

    process is worthwhile as it does not add considerably to the calculation time and ensures

    an accurate determination of the optimal allocation. The short circuit level used at the

    transmission station is the winter peak level given in the transmission system operators

    (TSO) forecast statement (ESB NG,2005).

    3.1.4 Short Circuit Ratio

    The short circuit ratio (SCR) is the ratio of generator power PDG(MW) at each bus to

    the short circuit level at each busSCLBus (MVA) (Taylor,1994). It gives an indication

    of the voltage dip experienced near the generation in the event of a feeder outage. The

    connection of induction generators to high impedance circuits may lead to voltage

    instability problems if the SCR is not kept within acceptable limits (Holdsworthet al.,

    2001). If the short circuit ratio is small enough, a transient voltage dip occurring will be

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    Chapter 3. Optimal Capacity 27

    limited and the system will remain stable. The contribution of other generators to the

    SCL is considered as it may be significant depending on the proximity of the bus. The

    phase angle at the busbar is omitted as an extra margin of safety. It could be included

    and the allowable ratio set to a lower value such as 6%. A value of 10% is largely in

    line with values used by other utilities and is in line with the value recommended in the

    European standard EN50160 (CENELEC,1994). The ratio itself is shown in Equation

    (3.6).PDG i

    SC Li. cos() 100 10% i N. (3.6)

    WhereSC Lirefers to the short circuit level at the ith bus and cos() is the power factor

    at the generator. A base value for the short circuit level at the ith bus is calculated

    with no generation present on the network, i. The contribution, if any, of generation

    at other buses to this level is then calculated allowing the short circuit characteristic of

    each bus to be formulated into an algebraic equation. The SCL at the ith bus is given

    by Equation (3.7).

    SC Li = i+N

    j=1

    ji PDG j i =j, i N. (3.7)

    Subbing (3.7) into (3.6).

    PDG i 0.1cos()N

    j=1

    ji PDG j 0.1cos()i. (3.8)

    For this constraint the short circuit level used at the transmission station is the

    summer night valley level, as this is the time when the system short circuit level will

    be lowest.

    3.1.5 Voltage Rise Effect

    From (Jenkinset al., 2000) and with reference to the circuit shown in Figure 3.1, the

    voltage at the generator is given by Equation (3.9).

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    Chapter 3. Optimal Capacity 28

    Figure 3.1: Voltage rise effect

    VG= VL+RPL+ XQL

    VL+j

    XPL RQLVL

    (3.9)

    Where Z=R+jX is the impedance of the line, PL andQL are active and reactive power

    at the bus andVG andVL are the voltages at the generator and bus respectively. Thus

    it can be seen that the generator voltage will be the load/bus voltage plus some value

    related to the impedance of the line and the power flows along that line. It is evident

    that the larger the impedance and power flow the larger the voltage rise. The increased

    active power flows on the distribution network have a large impact on the voltage level

    because the resistive element of the lines on distribution networks are higher than other

    lines. The voltage must be kept within standard limits at each bus as given by Equation

    (3.10).

    Vmin i < Vi < Vmax i i N. (3.10)

    Where Vmin i & Vmaxi refer to the minimum and maximum voltage limits at the ith

    bus. The relationship between voltage and power injections at each bus is determined.

    As megawatts are added at each bus the voltage rises. Increasing levels of generation

    are added incrementally at each bus in turn and load flow analysis is carried out to

    determine a voltage vs. active power characteristic for each bus. Next the interdepen-

    dence of the bus voltage levels is examined. Once again increasing levels of generation

    are added incrementally at each bus, but now the voltage level at every other bus is

    examined. Thus characteristics are determined for voltage levels at each bus due to

    generation at all other buses. By combination of these characteristics the voltage con-

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    Chapter 3. Optimal Capacity 29

    straint may be formalised into algebraic equations for each bus as shown in Equation

    (3.11).

    Nj=1

    ji PDG j+i Vmax j i N . (3.11)

    Where i is the dependency of the voltage level at bus i on power injections at bus i,

    i.e. the slope of the voltage vs. power injection characteristic of theith bus. irefers to

    the initial voltage level at the ith bus with no generation,ji refers to the dependency

    of the voltage level at bus i on power injections at bus j. This analysis is carried out

    under minimum load conditions as this is the worst case scenario for voltage rise. Both

    the standby and normal forward feed conditions are considered. There is usually morethan one possible standby feeding arrangement, but the most severe feeding condition

    is usually readily identifiable.

    3.1.6 Energy Resource & Customer Initiatives

    All of the network buses may not have a substantial energy resource available, if any.

    This can be factored in by adding an inequality constraint for each bus, limiting itsallocation to the available energy resource at that bus. On the other hand, a customer

    may wish to install a generator to serve its load and export any surplus generation onto

    the network. This constraint allows the effect of proposed generation at individual buses

    on the overall DG capacity to be assessed. These constraints are formalised in Equation

    (3.12), with the allocation to each bus being at least equal to any existing generation

    and at most equal to the available energy resource at each bus.

    PInstalled i PDG i PAvail i i N. (3.12)

    WherePAvaili and PInstalled i are the available energy resource and any existing gener-

    ation at the ith bus respectively.

    The voltage levels and short circuit levels at the buses are interdependent, thus

    some buses will have more influence on the voltage and short circuit levels than others

    as illustrated later in Figures3.4 and 3.6. A flowchart of the methodology is shown in

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    Chapter 3. Optimal Capacity 30

    Figure3.2.

    START

    LOAD FLOW ANALYSIS:CALCULATE BUS VOLTAGE

    CHARACTERISTICS FORPOWER INJECTIONS

    SHORT CIRCUIT ANALYSIS:CALCULATE SCL

    CHARACTERISTICS FORTRANSMISSION BUS

    CHECK EQUIPMENTRATINGS

    INPUT MIN.LOAD DATA

    INPUT MAX.SCL DATA

    INPUT MIN.SCL DATA

    SHORT CIRCUIT ANALYSIS:CALCULATE SCL CHARACTERISTICS

    FOR ALL OTHER BUSES

    FORMULATE LINEAR EQNS. FORCONSTRAINTS AND OBJECTIVE

    FUNCTION

    EXECUTE LINEAR PROGRAMMINGALGORITHM TO DETERMINE

    INITIAL ALLOCATION

    END

    EXECUTE LINEAR PROGRAMMINGALGORITHM TO DETERMINE

    OPTIMAL ALLOCATION

    SHORT CIRCUIT ANALYSIS:RECALCULATE SCL

    CHARACTERISTICS FORTRANSMISSION BUS

    Figure 3.2: Optimal allocation methodology

    There is a varying level of interdependence between the buses, which is dependent

    on a number of factors:

    Proximity to transmission station

    Relative distance between buses

    Type of conductor

    The proximity of the bus to the transmission station has a large bearing on the

    sensitivity of that bus to changes in voltage. As would be expected the closer a bus

    is to the transmission in-feed the higher the voltage at that bus. In addition, these

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    Chapter 3. Optimal Capacity 31

    buses tend to be less sensitive to generation at other buses and also less sensitive to

    generation at the bus itself. The converse is also true. The distance between the buses

    affects their level of interdependence and perhaps more importantly from an allocation

    point of view, the relative distance will define each of their relationships. The type of

    conductor also has a bearing on these relationships. For example a 630XLPE cable has

    a lower impedance than a 100SCA overhead line and therefore the voltage rise effect

    due to generation at other buses will be much reduced with the cable.

    In terms of short circuit levels, the closer a bus is to the transmission station, the

    higher the SCL. Once again the relative distance between the buses will determine

    their interdependence as will the position of normally open points on the network.

    The impedance of the conductors will affect the SCL and the typically high impedance

    distribution networks will result in a low SCL.

    3.2 Test System & Constraint Characteristics

    The methodology was tested on a number of sample sections from the Irish distribution

    network. Results are given here for a 38/110kV station with 5 buses shown in Figure

    3.3.

    The methodology has been tested on larger networks, however, this section is chosen

    to illustrate the results as it demonstrates the potential for network sterilisation very

    well. The most severe case for voltage rise is the standby feeding condition shown in

    Figure3.3 with the 3.5km out of service line in grey. The individual voltage sensitivity

    characteristics were calculated and are shown in Figure3.4.

    From Figure3.4 it can be seen that bus A is the least sensitive to power injections

    and therefore based on this constraint only, bus A will have the largest allocation of

    generation. It is the least sensitive to power injections due to its proximity to the 110kV

    station. It can also be seen that bus B and bus C have very similar profiles. They are

    separated from the rest