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Hydrothermal system operation planning considering hydroelectrical plant production non-linearities
Title:
André L. M. Marcato Tales P. Ramos Ivo Chaves da Silva Junior Bruno Henriques Dias Rafael B da Silva Brandi
Authors:
September, 2015
• Introduction
• Proposed Methodology
• Problem Formulation
• Results
• Conclusion
Agenda
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Introduction
• Hydrothermal System
The main objective of the hydrothermal system operation planning is to minimize the expected operating cost of the system over
the considered period.
These costs are composed by thermal generation and deficit costs
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Brazilian System Characteristics
Fonte: PEN 2013, ONS
Installed Capacity 31/12/2017
Installed Capacacity 31/12/2012
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Introduction
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Introduction
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SCHEMATIC DIAGRAM OF HYDRO PLANTS
Introduction
• Brazilian Systems Uses:
Aggregation of the hydroelectric system into energy equivalent system.
Stochastic Dual Dynamic Programming (SDDP).
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Introduction • Energy Equivalent System
STORED ENERGY
HYDRAULIC GENERATION
ENERGY
SPILLED ENERGY
ENERGY INFLOW
Reservoir Run of River
• Energy Equivalent System
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Introduction
N NE
SE
S
Node
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MDDH
Graphical interface
Java
Kernel C++ Net Beans
Official Data (ONS ou CCEE)
• Windows or Linux • Parallel Processing (SDP
and SDDP) • Running Desktop
computer, remote or distributed
• Wind Plants and Solar Plants (under development)
• Synthetic Scenarios • Energy Equivalent
System, Individualized plants, Hybrid
Computational Platform
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Computational Platform
Proposed Methodology The long term operation planning can carried out:
• only representation through energy equivalent systems; • part of the system is represented by energy equivalent systems and the
remaining system by individualized plants; • All hydro power plants are individualized
The planner can choose a point in the time horizon when, before this time a hybrid representation is used and after this time, the representation is by equivalent systems. For individualized plants, It is considered all non-linarites of the hydraulic production function
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Proposed Methodology • Temporal Coupling
Break Down Time
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Proposed Methodology
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Tucuruí Hydro Plant
Forth Degree Polynomial
Hydraulic Production Function- HFP
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Hydraulic Production Function - HFP
Flow rate or turbined flow
(m3/s)
Head (m)
The piecewise linear function must be a convex polynomial
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Hydraulic Production Function- HFP U
pstr
eam
quo
ta (m
)
Stored volume (hm3) Spilled Outflow (hm3) Turbined discharge (hm3)
Dow
nstr
eam
quo
ta (m
)
Y
X X1 X2 X3 X4 X5 18
• Convex Hull Algorithm:
Hydraulic Production Function- HFP
Y
X X1 X2 X4 X5 19
The HPF, determined by convex hull algorithm, must be shifted up or down in order to minimize
the mean square error
Hydraulic Production Function- HPF
Problem Formulation • The SDDP is formulated as the following optimization
model:
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subject to:
Hydraulic Balance
Load Balance
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Hydraulic Production Function - HPF
Results
• Evaluation of the approximated HPF
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Results
• Evaluation of the approximated HPF
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Results – Brazilian System – Mean of Final Simualtion
– Time horizon: 5 years – Final simulation with 70 scenarios – All results corresponds to monthly mean
• Two Cases: – EQV: representation by energy equivalent systems
only;
– SE_FPH: only Southeast subsystem was individualized
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Results – Brazilian System
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Monthly Mean of Stored Energy
Equivalent reservoir representation presents a higher stored energy when compared to the hybrid representation.
Results – Brazilian System
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Monthly Mean of Hydro Generation
There is no significant difference in both methods and the equivalent system is a little higher
Results – Brazilian System
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Monthly Mean of Thermal Generation
Equivalent representation presents a smaller amount. This is due to the higher hydro generation presented before.
Results – Brazilian System
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Monthly Mean of Spilled Energy
The spilled energy amount is higher when the southeast is modelled by individual plants
Results - PMO 01/2014
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Produtibility
Conclusions
• Nowadays, with the hardware/software advances, we must invest in new approaches to use more and more the individualized representation instead of energy equivalent representation.
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Resultados PMO 01/2014
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• Energia Armazenada
Resultados PMO 01/2014
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• Geração Hidráulica
Resultados PMO 01/2014
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• Déficit
Resultados PMO 01/2014
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• Déficit