ea-psm power flow verification validation case - … · mb energy advice company code: 303038190...

MB Energy Advice Company code: 303038190

Ašmenos 2-oji str. 33-14 Acc. No LT984010042503106510

LT-44493 Kaunas, LITHUANIA DnB bank

Phone: +370 635 16380

EA-PSM Power Flow verification validation case

6 Bus Power flow case

Introduction

Verification validation cases are run before each EA-PSM version release. Calculation results

are compared to Published Examples. EA-PSM Power flow Calulations are made using

Accelerated Gauss Seidel Method. Study includes generation and loads. Line impedance are

considered, line admittance are not considered. Comparisons are made against generation

schedule, bus voltage, power flows in primary value and presents. The difference in the

results is less than 0.1% for all bus voltages and power flows.

System Description

This is a six-bus system that is composed of lines, generators and loads. The line impedance

are considered. The schedule of generation and loading for each bus were taken as described

in Table 1.

Table 1. Generation and loading of each bus

Title Connected Real power P, W Reactive power Q, Var

G2 true 1500000 750000

G3 true 12000000 8000000

G4 true 6000000 3000000

Load 2 true 20000000 10000000

Load 5 true 40000000 15000000

Load 6 true 30000000 10000000

The network depicted in Fig. 1.

The line parameters are described in Table 2.

Table 2. Line parameters

Title Connected Resistance, Ω Reactance, Ω

1 - 2 true 0.0605 0.242

2 - 3 true 0.121 0.605

3 - 4 true 0.242 0.968

4 - 5 true 0.121 0.363

5 - 6 true 0.242 0.484

6 - 1 true 0.121 0.1815

2 - 5 true 0.242 0.605




Phone: +370 635 16380

Fig. 1. Bus - 6 test case network diagram

Calculation Results

The calculations were performed using Accelerated Gauss Seidel Method. Voltage magnitude

and angle calculation error depicted in Table 3.

Table 3. Bus voltage calculation results comparison with reference

EA-PSM Reference EA-PSM Reference Difference

Title U, V U, V δ, degree δ, degree ΔU, % δ, %

1 11000.00 11000 0 0 0.00 0.00

2 10503.65 10504 -2.93 -2.93 0.00 0.00

3 10735.86 10736 -1.59 -1.59 0.00 0.00

4 10156.14 10156 -4.5 -4.5 0.00 0.00

5 9752.11 9752 -6.74 -6.74 0.00 0.00

6 10224.07 10224 -3.26 -3.26 0.00 0.00




Phone: +370 635 16380

Branch currents calculation results are depicted in Table 4.

Table 4. Branch currents calculation results comparison with reference

Title EA-PSM Reference Difference

I, A I, A I, %

1 - 2 1713.5 1713.6 0.00%

2 - 3 317.9 318.0 0.02%

3 - 4 457.7 457.8 0.01%

4 - 5 838.3 838.3 0.00%

5 - 6 819.2 819.3 0.00%

6 - 1 2602.5 2602.6 0.00%

2 - 5 893.9 894.0 0.00%

Branch power flow calculation results are depicted in Table 5 and 6. Index’s ij describes power

flow at the start of the line, indexes ji describes power flow at the end of the line.

Table 5. Branch power flow calculation results comparison with reference

EA-PSM Reference Difference

Title Pij, kW Qij, kVar Pij, kW Qij, kVar Pij, % Qij, %

1 - 2 28412.1 16081.6 28412.1 16081.6 0.00% 0.00%

2 - 3 -4951.6 -2990.2 -4951.6 -2990.2 0.00% 0.00%

3 - 4 7011.7 4826.3 7011.7 4826.3 0.00% 0.00%

4 - 5 12859.6 7217.8 12859.6 7217.8 0.00% 0.00%

5 - 6 -13644.9 -2308.0 -13644.9 -2307.9 0.00% 0.00%

6 - 1 -44132.3 -13282.6 -44132.3 -13282.6 0.00% 0.00%

2 - 5 14330.8 7690.1 14330.8 7690.1 0.00% 0.00%

Table 6. Branch power flow calculation results comparison with reference

EA-PSM Reference Difference

Title Pji, kW Qji, kVar Pji, kW Qji, kVar Pji, % Qji, %

1 - 2 -27879.19 -13949.87 -27879.2 -13949.9 0.00% 0.00%

2 - 3 4988.29 3173.68 4988.3 3173.7 0.00% 0.00%

3 - 4 -6859.57 -4217.79 -6859.6 -4217.8 0.00% 0.00%

4 - 5 -12604.47 -6452.47 -12604.5 -6452.5 0.00% 0.00%

5 - 6 14132.25 3282.58 14132.3 3282.6 0.00% 0.00%

6 - 1 46590.98 16970.66 46591 16970.7 0.00% 0.00%

2 - 5 -13750.60 -6239.58 -13750.6 -6239.6 0.00% 0.00%

References

1. Computer Aided Power System Operation and Analysis, R.N Dhar.

ea-psm power flow verification validation case - … · mb energy advice company code: 303038190...

Documents