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
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
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
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
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.