PSE Cw11

POLITECHNIKA WROCŁAWSKA
WYDZIAŁ ELEKTRYCZNY

Instytut Energoelektryki

 Soroko Jacek

Rok studiów V

Studia dzienne

Semestr IX

Rok Akademicki 2010/2011

LABORATORIUM PRACY SYSTEMÓW ELEKTROENERGETYCZNYCH

Data wykonania ćwiczenia

18.12.2010

Numer ćwiczenia:

11

Temat:

Badanie stabilności napięciowej układu

generator - system

Data oddania ćwiczenia:

.

Cel ćwiczenia

Celem ćwiczenia jest sprawdzenie umiejętności zastosowania programu rozpływu mocy do wyznaczania stabilności napięciowej systemu el-en.

Rys. 1. Schemat badanego systemu

Dane wejściowe

%nazwanr typ Un_kV Um k_st Pd Qd Pg Qg Psh Qsh Pgmin Pgmax Qgmin Qgmax

% 1 2 3 4 5 6 7 8 9 10 11 12 13 14

'wezel 1' [1 110.00 1.000 0.0 0.100 0.060 0.000 0.0000 0.000 0.000 0.0 0.0 0.0 0.0];

'wezel 2' [1 110.00 1.000 0.0 0.400 0.300 0.000 0.0000 0.000 0.200 0.0 0.0 0.0 0.0];

'wezel 3' [1 110.00 1.000 0.0 0.400 0.300 0.000 0.0000 0.000 0.000 0.0 0.0 0.0 0.0];

'wezel 4' [1 110.00 1.000 0.0 0.000 0.300 0.000 0.0000 0.000 0.000 0.0 0.0 0.0 0.0];

'wezel 5' [1 110.00 1.000 0.0 0.000 0.000 0.000 0.0000 0.000 0.000 0.0 0.0 0.0 0.0];

'wezel 6' [1 30.00 1.000 0.0 0.200 0.100 0.000 0.0000 0.000 0.000 0.0 0.0 0.0 0.0];

'wezel 9' [1 10.00 1.000 0.0 0.100 0.060 0.000 0.0000 0.000 0.000 0.0 0.0 0.0 0.0];

'wezel 10' [1 10.00 1.000 0.0 0.000 0.000 0.300 0.0000 0.000 0.000 0.0 0.0 0.0 0.0];

'wezel 11' [2 10.00 1.000 0.0 0.000 0.000 0.300 0.0000 0.000 0.000 0.0 0.0 0.0 0.0];

'wezel 12' [2 10.00 1.000 0.0 0.000 0.000 0.300 0.0000 0.000 0.000 0.0 0.0 0.0 0.0];

'wezel 13' [2 10.00 1.000 0.0 0.000 0.000 0.300 0.0000 0.000 0.000 0.0 0.0 0.0 0.0];

'wezel 14' [3 220.00 1.000 0.0 0.000 0.000 0.000 0.0000 0.000 0.000 0.0 0.0 0.0 0.0];

};

linie={

% Susceptancja poprzeczna linii jest dodatnia, a transformatora - ujemna.

% Dopuszczalne obciazenie termiczne odnosi sie do mocy pozornej linii

% Imax - dopuszczalny prad w kA

% STATUS galezi: status=1 - zalaczona, status=0 - wylaczona

% nazwawp nazwawk R X G B Imax st

% 1 2 3 4 5 6 7 8

'linia 1' 'wezel 1' 'wezel 2' [0.01802 0.72070 0.00 0.05280 4000 1];

'linia 2' 'wezel 1' 'wezel 2' [0.01802 0.72070 0.00 0.05280 4000 1];

'linia 3' 'wezel 2' 'wezel 3' [0.37690 0.75370 0.00 0.00552 4000 1];

'linia 4' 'wezel 2' 'wezel 3' [0.37690 0.75370 0.00 0.00552 4000 1];

'linia 5' 'wezel 3' 'wezel 5' [0.15540 0.62150 0.00 0.04550 4000 1];

'linia 6' 'wezel 3' 'wezel 5' [0.15540 0.62150 0.00 0.04550 4000 1];

'linia 7' 'wezel 5' 'wezel 4' [0.25290 0.50580 0.00 0.03700 4000 1];

'linia 8' 'wezel 5' 'wezel 4' [0.25290 0.50580 0.00 0.03700 4000 1];

'linia 9' 'wezel 3' 'wezel 4' [0.10990 0.43970 0.00 0.03220 4000 1];

'linia 10' 'wezel 3' 'wezel 4' [0.10990 0.43970 0.00 0.03220 4000 1];

'linia 11' 'wezel 4' 'wezel 1' [0.11820 0.47270 0.00 0.03460 4000 1];

'linia 12' 'wezel 4' 'wezel 1' [0.11820 0.47270 0.00 0.03460 4000 1];

};

transf={

% Susceptancja poprzeczna transformatora jest ujemna.

% Przekladnia znamionowa trans. tn=Uwpn/Uwkn

% Uwpn - nap. znam. wez. pocz., Uwkn - nap. znam. wez. konc.

% Przekladnia trpu = tr/tn jest odniesiona do przekladni znamionowej tn.

% Kat przekladni musi byc podany w stopniach.

% dtr - przyrost przekl. na zaczep

% Imax - dopuszczalny prad w kA odnosi sie do wezla poczatkowego transformatora

% STATUS galezi: status=1 - zalaczona, status=0 - wylaczona

% nazwawp nazwawk R X G B Imax tm k_st tmin tmax dtr st

% 1 2 3 4 5 6 7 8 9 10 11 12 13

'transf 1' 'wezel 2' 'wezel 10' [0.00710 0.24130 0.00020 -0.00230 5000 0.9957 0.0 0.8364 1.1550 0.013 1];

'transf 2' 'wezel 2' 'wezel 11' [0.00710 0.24130 0.00020 -0.00230 5000 0.9957 0.0 0.8364 1.1550 0.013 1];

'transf 3' 'wezel 3' 'wezel 12' [0.00740 0.23490 0.00070 -0.00560 5000 0.9669 0.0 0.8122 1.1216 0.013 1];

'transf 4' 'wezel 3' 'wezel 13' [0.00740 0.23490 0.00070 -0.00560 5000 0.9669 0.0 0.8122 1.1216 0.013 1];

'transf 5' 'wezel 5' 'wezel 6' [0.01810 0.60690 0.00010 -0.00090 5000 1.0455 0.0 0.8778 1.2127 0.014 1];

'transf 6' 'wezel 5' 'wezel 6' [0.01810 0.60690 0.00010 -0.00090 5000 1.0455 0.0 0.8778 1.2127 0.014 1];

'transf 7' 'wezel 14' 'wezel 4' [0.00570 0.25740 0.00020 -0.00080 5000 0.9583 0.0 0.0 0.0 0.0 1];

'transf 8' 'wezel 14' 'wezel 4' [0.00570 0.25740 0.00020 -0.00080 5000 0.9583 0.0 0.0 0.0 0.0 1];

'transf 9' 'wezel 1' 'wezel 9' [0.02520 0.40270 0.00010 -0.00140 3000 0.9504 0.0 0.7984 1.1025 0.013 1];

};

return;

Wyniki symulacji dla wariantu bazowego:

Bus Voltages and Powers obtained from Load Flow Solution

===============================================================================================

BUS VOLTAGE GENERATION LOAD const LOAD shunt

Nr Name type U_pu angle U_kV Pg(MW) Qg(MVAR) Pd(MW) Qd(MVAR Psh(MW) Qsh(MVAR)

===============================================================================================

1 wezel 1 1 0.9234 -0.9 101.6 0.00 0.00 10.00 6.00 0.00 0.00

2 wezel 2 1 0.9472 2.6 104.2 0.00 0.00 40.00 30.00 0.00 17.94

3 wezel 3 1 0.9323 1.6 102.6 0.00 0.00 40.00 30.00 0.00 0.00

4 wezel 4 1 0.9269 -0.0 102.0 0.00 0.00 0.00 30.00 0.00 0.00

5 wezel 5 1 0.9100 -1.0 100.1 0.00 -0.00 - - - -

6 wezel 6 1 0.8284 -5.8 24.9 0.00 0.00 20.00 10.00 0.00 0.00

7 wezel 9 1 0.9422 -3.3 9.4 0.00 0.00 10.00 6.00 0.00 0.00

8 wezel 10 1 0.9502 7.2 9.5 30.00 0.00 - - - -

9 wezel 11 2 1.0000 6.9 10.0 30.00 20.50 - - - -

10 wezel 12 2 1.0000 5.7 10.0 30.00 15.62 - - - -

11 wezel 13 2 1.0000 5.7 10.0 30.00 15.62 - - - -

12 wezel 14 3 1.0000 0.0 220.0 1.12 25.54 - - - -

----- ----- ----- ----- ----- -----

Total: 121.12 77.28 120.00 112.00 0.00 17.94

Active - P and Reactive - Q Branch Flows

Effective load coefficients: pSF = Ifrom/Imax*100%, pST = Ito/Imax*100%

========================================================================================================================

FROM TO FLOW at begin FLOW at end straty I^2*Z str.(Up^2+Uk^2)Ysh

Nr BUS BUS P(MW) Q(MVAR) pSF P(MW) Q(MVAR) pST dP(MW) dQ(Mvar) dPsh(MW) dQsh(Mvar)

========================================================================================================================

1 linia 1 wezel 1 wezel 2 -7.45 -4.89 1.3 7.46 0.80 1.0 0.013 0.527 0.000 -4.620

2 linia 2 wezel 1 wezel 2 -7.45 -4.89 1.3 7.46 0.80 1.0 0.013 0.527 0.000 -4.620

3 linia 3 wezel 2 wezel 3 2.44 0.43 0.3 -2.41 -0.86 0.4 0.027 0.054 0.000 -0.488

4 linia 4 wezel 2 wezel 3 2.44 0.43 0.3 -2.41 -0.86 0.4 0.027 0.054 0.000 -0.488

5 linia 5 wezel 3 wezel 5 6.67 -0.16 0.9 -6.58 -3.36 1.1 0.085 0.342 0.000 -3.861

6 linia 6 wezel 3 wezel 5 6.67 -0.16 0.9 -6.58 -3.36 1.1 0.085 0.342 0.000 -3.861

7 linia 7 wezel 5 wezel 4 -3.46 -2.81 0.6 3.50 -0.23 0.5 0.041 0.083 0.000 -3.121

8 linia 8 wezel 5 wezel 4 -3.46 -2.81 0.6 3.50 -0.23 0.5 0.041 0.083 0.000 -3.121

9 linia 9 wezel 3 wezel 4 5.59 -1.56 0.8 -5.55 -1.06 0.8 0.040 0.158 0.000 -2.783

10 linia 10 wezel 3 wezel 4 5.59 -1.56 0.8 -5.55 -1.06 0.8 0.040 0.158 0.000 -2.783

11 linia 11 wezel 4 wezel 1 2.59 -1.44 0.4 -2.58 -1.48 0.4 0.009 0.037 0.000 -2.961

12 linia 12 wezel 4 wezel 1 2.59 -1.44 0.4 -2.58 -1.48 0.4 0.009 0.037 0.000 -2.961

13 transf 1 wezel 2 wezel 10 -29.91 2.61 3.3 30.00 0.00 3.3 0.071 2.404 0.018 0.208

14 transf 2 wezel 2 wezel 11 -29.89 -17.11 3.8 30.00 20.50 3.8 0.093 3.173 0.019 0.219

15 transf 3 wezel 3 wezel 12 -29.85 -12.42 3.6 30.00 15.62 3.6 0.084 2.662 0.068 0.540

16 transf 4 wezel 3 wezel 13 -29.85 -12.42 3.6 30.00 15.62 3.6 0.084 2.662 0.068 0.540

17 transf 5 wezel 5 wezel 6 10.04 6.17 1.4 -10.00 -5.00 1.4 0.033 1.109 0.007 0.065

18 transf 6 wezel 5 wezel 6 10.04 6.17 1.4 -10.00 -5.00 1.4 0.033 1.109 0.007 0.065

19 transf 7 wezel 4 wezel 14 -0.53 -12.27 1.4 0.56 12.77 1.3 0.009 0.418 0.019 0.077

20 transf 8 wezel 4 wezel 14 -0.53 -12.27 1.4 0.56 12.77 1.3 0.009 0.418 0.019 0.077

21 transf 9 wezel 1 wezel 9 10.05 6.75 2.3 -10.00 -6.00 2.2 0.039 0.621 0.009 0.128

=====================================================================================================================

Razem LINIE 0.432 2.402 0.000 -35.669

Razem TRANSF 0.455 14.575 0.235 1.921

Razem STRATY 0.887 16.978 0.235 -33.748

Wyniki symulacji dla Qd = 0.05 w węźle 10

Bus Voltages and Powers obtained from Load Flow Solution

===============================================================================================

BUS VOLTAGE GENERATION LOAD const LOAD shunt

Nr Name type U_pu angle U_kV Pg(MW) Qg(MVAR) Pd(MW) Qd(MVAR Psh(MW) Qsh(MVAR)

===============================================================================================

1 wezel 1 1 0.9191 -0.8 101.1 0.00 0.00 10.00 6.00 0.00 0.00

2 wezel 2 1 0.9391 2.8 103.3 0.00 0.00 40.00 30.00 0.00 17.64

3 wezel 3 1 0.9305 1.6 102.4 0.00 0.00 40.00 30.00 0.00 0.00

4 wezel 4 1 0.9253 -0.0 101.8 0.00 0.00 0.00 30.00 0.00 0.00

5 wezel 5 1 0.9082 -1.0 99.9 0.00 -0.00 - - - -

6 wezel 6 1 0.8265 -5.8 24.8 0.00 0.00 20.00 10.00 0.00 0.00

7 wezel 9 1 0.9375 -3.2 9.4 0.00 0.00 10.00 6.00 0.00 0.00

8 wezel 10 1 0.9289 7.5 9.3 30.00 0.00 0.00 5.00 0.00 0.00

9 wezel 11 2 1.0000 7.1 10.0 30.00 23.89 - - - -

10 wezel 12 2 1.0000 5.7 10.0 30.00 16.42 - - - -

11 wezel 13 2 1.0000 5.7 10.0 30.00 16.42 - - - -

12 wezel 14 3 1.0000 0.0 220.0 1.14 26.84 - - - -

----- ----- ----- ----- ----- -----

Total: 121.14 83.56 120.00 117.00 0.00 17.64

Active - P and Reactive - Q Branch Flows

Effective load coefficients: pSF = Ifrom/Imax*100%, pST = Ito/Imax*100%

========================================================================================================================

FROM TO FLOW at begin FLOW at end straty I^2*Z str.(Up^2+Uk^2)Ysh

Nr BUS BUS P(MW) Q(MVAR) pSF P(MW) Q(MVAR) pST dP(MW) dQ(Mvar) dPsh(MW) dQsh(Mvar)

========================================================================================================================

1 linia 1 wezel 1 wezel 2 -7.52 -4.36 1.2 7.53 0.32 1.1 0.013 0.521 0.000 -4.558

2 linia 2 wezel 1 wezel 2 -7.52 -4.36 1.2 7.53 0.32 1.1 0.013 0.521 0.000 -4.558

3 linia 3 wezel 2 wezel 3 2.36 -0.33 0.3 -2.34 -0.11 0.3 0.024 0.048 0.000 -0.482

4 linia 4 wezel 2 wezel 3 2.36 -0.33 0.3 -2.34 -0.11 0.3 0.024 0.048 0.000 -0.482

5 linia 5 wezel 3 wezel 5 6.65 -0.15 0.9 -6.56 -3.35 1.1 0.085 0.341 0.000 -3.846

6 linia 6 wezel 3 wezel 5 6.65 -0.15 0.9 -6.56 -3.35 1.1 0.085 0.341 0.000 -3.846

7 linia 7 wezel 5 wezel 4 -3.48 -2.82 0.6 3.52 -0.20 0.5 0.042 0.085 0.000 -3.110

8 linia 8 wezel 5 wezel 4 -3.48 -2.82 0.6 3.52 -0.20 0.5 0.042 0.085 0.000 -3.110

9 linia 9 wezel 3 wezel 4 5.54 -1.59 0.8 -5.50 -1.03 0.8 0.039 0.156 0.000 -2.772

10 linia 10 wezel 3 wezel 4 5.54 -1.59 0.8 -5.50 -1.03 0.8 0.039 0.156 0.000 -2.772

11 linia 11 wezel 4 wezel 1 2.51 -0.89 0.4 -2.50 -2.02 0.5 0.009 0.037 0.000 -2.942

12 linia 12 wezel 4 wezel 1 2.51 -0.89 0.4 -2.50 -2.02 0.5 0.009 0.037 0.000 -2.942

13 transf 1 wezel 2 wezel 10 -29.91 7.79 3.5 30.00 -5.00 3.4 0.076 2.588 0.018 0.202

14 transf 2 wezel 2 wezel 11 -29.88 -20.14 4.0 30.00 23.89 4.0 0.104 3.534 0.019 0.217

15 transf 3 wezel 3 wezel 12 -29.85 -13.16 3.7 30.00 16.42 3.6 0.086 2.721 0.067 0.539

16 transf 4 wezel 3 wezel 13 -29.85 -13.16 3.7 30.00 16.42 3.6 0.086 2.721 0.067 0.539

17 transf 5 wezel 5 wezel 6 10.04 6.18 1.4 -10.00 -5.00 1.4 0.033 1.114 0.007 0.065

18 transf 6 wezel 5 wezel 6 10.04 6.18 1.4 -10.00 -5.00 1.4 0.033 1.114 0.007 0.065

19 transf 7 wezel 4 wezel 14 -0.54 -12.88 1.5 0.57 13.42 1.4 0.010 0.462 0.019 0.077

20 transf 8 wezel 4 wezel 14 -0.54 -12.88 1.5 0.57 13.42 1.4 0.010 0.462 0.019 0.077

21 transf 9 wezel 1 wezel 9 10.05 6.75 2.3 -10.00 -6.00 2.2 0.039 0.627 0.009 0.127

=====================================================================================================================

Razem LINIE 0.425 2.373 0.000 -35.424

Razem TRANSF 0.478 15.341 0.233 1.908

Razem STRATY 0.903 17.715 0.233 -33.515

Wyniki symulacji dla Qd = 0.50 w węźle 10

Bus Voltages and Powers obtained from Load Flow Solution

===============================================================================================

BUS VOLTAGE GENERATION LOAD const LOAD shunt

Nr Name type U_pu angle U_kV Pg(MW) Qg(MVAR) Pd(MW) Qd(MVAR Psh(MW) Qsh(MVAR)

===============================================================================================

1 wezel 1 1 0.8572 -0.2 94.3 0.00 0.00 10.00 6.00 0.00 0.00

2 wezel 2 1 0.8236 4.7 90.6 0.00 0.00 40.00 30.00 0.00 13.56

3 wezel 3 1 0.9050 1.2 99.6 0.00 0.00 40.00 30.00 0.00 0.00

4 wezel 4 1 0.9026 -0.2 99.3 0.00 0.00 0.00 30.00 0.00 0.00

5 wezel 5 1 0.8825 -1.3 97.1 0.00 -0.00 - - - -

6 wezel 6 1 0.8004 -6.4 24.0 0.00 0.00 20.00 10.00 0.00 0.00

7 wezel 9 1 0.8699 -3.0 8.7 0.00 0.00 10.00 6.00 0.00 0.00

8 wezel 10 1 0.6300 13.1 6.3 30.00 0.00 0.00 50.00 0.00 0.00

9 wezel 11 2 1.0000 9.4 10.0 30.00 72.02 - - - -

10 wezel 12 2 1.0000 5.4 10.0 30.00 27.65 - - - -

11 wezel 13 2 1.0000 5.4 10.0 30.00 27.65 - - - -

12 wezel 14 3 1.0000 0.0 220.0 3.24 45.20 - - - -

----- ----- ----- ----- ----- -----

Total: 123.24 172.52 120.00 162.00 0.00 13.56

Active - P and Reactive - Q Branch Flows

Effective load coefficients: pSF = Ifrom/Imax*100%, pST = Ito/Imax*100%

========================================================================================================================

FROM TO FLOW at begin FLOW at end straty I^2*Z str.(Up^2+Uk^2)Ysh

Nr BUS BUS P(MW) Q(MVAR) pSF P(MW) Q(MVAR) pST dP(MW) dQ(Mvar) dPsh(MW) dQsh(Mvar)

========================================================================================================================

1 linia 1 wezel 1 wezel 2 -8.15 2.61 1.3 8.18 -5.49 1.6 0.021 0.855 0.000 -3.730

2 linia 2 wezel 1 wezel 2 -8.15 2.61 1.3 8.18 -5.49 1.6 0.021 0.855 0.000 -3.730

3 linia 3 wezel 2 wezel 3 1.29 -9.55 1.5 -0.79 10.13 1.5 0.497 0.993 0.000 -0.413

4 linia 4 wezel 2 wezel 3 1.29 -9.55 1.5 -0.79 10.13 1.5 0.497 0.993 0.000 -0.413

5 linia 5 wezel 3 wezel 5 6.20 -0.01 0.9 -6.12 -3.31 1.0 0.079 0.317 0.000 -3.635

6 linia 6 wezel 3 wezel 5 6.20 -0.01 0.9 -6.12 -3.31 1.0 0.079 0.317 0.000 -3.635

7 linia 7 wezel 5 wezel 4 -3.92 -2.94 0.7 3.98 0.11 0.6 0.057 0.115 0.000 -2.948

8 linia 8 wezel 5 wezel 4 -3.92 -2.94 0.7 3.98 0.11 0.6 0.057 0.115 0.000 -2.948

9 linia 9 wezel 3 wezel 4 4.41 -1.86 0.7 -4.38 -0.66 0.6 0.026 0.106 0.000 -2.630

10 linia 10 wezel 3 wezel 4 4.41 -1.86 0.7 -4.38 -0.66 0.6 0.026 0.106 0.000 -2.630

11 linia 11 wezel 4 wezel 1 1.98 6.76 1.0 -1.87 -9.03 1.4 0.103 0.410 0.000 -2.680

12 linia 12 wezel 4 wezel 1 1.98 6.76 1.0 -1.87 -9.03 1.4 0.103 0.410 0.000 -2.680

13 transf 1 wezel 2 wezel 10 -29.38 70.82 9.8 30.00 -50.00 9.7 0.609 20.699 0.011 0.124

14 transf 2 wezel 2 wezel 11 -29.55 -57.18 8.2 30.00 72.02 8.2 0.431 14.645 0.017 0.194

15 transf 3 wezel 3 wezel 12 -29.81 -23.26 4.4 30.00 27.65 4.3 0.122 3.869 0.066 0.525

16 transf 4 wezel 3 wezel 13 -29.81 -23.26 4.4 30.00 27.65 4.3 0.122 3.869 0.066 0.525

17 transf 5 wezel 5 wezel 6 10.04 6.25 1.4 -10.00 -5.00 1.5 0.035 1.187 0.007 0.061

18 transf 6 wezel 5 wezel 6 10.04 6.25 1.4 -10.00 -5.00 1.5 0.035 1.187 0.007 0.061

19 transf 7 wezel 4 wezel 14 -1.57 -21.21 2.5 1.62 22.60 2.4 0.029 1.317 0.019 0.075

20 transf 8 wezel 4 wezel 14 -1.57 -21.21 2.5 1.62 22.60 2.4 0.029 1.317 0.019 0.075

21 transf 9 wezel 1 wezel 9 10.05 6.84 2.5 -10.00 -6.00 2.3 0.046 0.728 0.008 0.110

=====================================================================================================================

Razem LINIE 1.567 5.593 0.000 -32.075

Razem TRANSF 1.458 48.819 0.218 1.751

Razem STRATY 3.026 54.412 0.218 -30.323

Tab.1. Wartości napięć dla danych mocy pobieranych w węźle 10.

Qd U10 U2
p.u. p.u. p.u.
0,00 0.9502 0.9472
0,05 0.9289 0.9391
0,10 0.9066 0.9305
0,15 0.8829 0.9215
0,20 0.8577 0.9118
0,25 0.8306 0.9014
0,30 0.8011 0.8901
0,35 0.7685 0.8775
0,40 0.7315 0.8631
0,45 0.6875 0.8461
0,50 0.6300 0.8236
0,55 lawina napięcia

Wnioski

Wartość mocy pobieranej przez generator zmieniano od 0.0 p.u co 0.05 p.u do momentu utraty stabilności.

Brak stabilności napięciowej pojawia się przy obciążeniu generatora G1 mocą Qd=0.55p.u. Napięcie na generatorze G1 spada dużo szybciej niż w węźle 2. Jest to spowodowane tym, że do węzła 2 jest jeszcze dołączony generator G2, który w pewnym stopniu niweluje obniżenie się napięcia.


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