The document summarizes the results of simulating a power flow model using MATLAB and PowerWorld Simulator. It shows the outputs of running the same system through a DC power flow model, an AC power flow model using Newton's method, and an AC power flow model using a fast decoupled method. For each model, it provides the bus data, branch data, and summaries of voltage magnitudes and angles, losses, and generation and load values. It concludes by showing the iterative process of the fast decoupled AC power flow solution.

1. 29-04-2020 21:45 MATLAB Command Window 1 of 7
>> %
>> %% Resolução do Exercício 1
>> %% alínea, g)Usando Matlab e PowerWorld Simulator, simule:
%• Modelo DC
%• Modelo AC usando Newton
%• Modelo AC usando desacoplado rápido
>> %
>> %• Modelo DC; agora corremos o caso no modelo DC a partir do seguinte comando:
>> rundcpf('DC_exer_1')
MATPOWER Version 6.0, 16-Dec-2016 -- DC Power Flow
Converged in 0.00 seconds
================================================================================
| System Summary |
================================================================================
How many? How much? P (MW) Q (MVAr)
Buses 4 Total Gen Capacity 318.0 0.0 to 0.0
Generators 2 On-line Capacity 318.0 0.0 to 0.0
Committed Gens 2 Generation (actual) 500.0 0.0
Loads 4 Load 500.0 0.0
Fixed 4 Fixed 500.0 0.0
Dispatchable 0 Dispatchable -0.0 of -0.0 -0.0
Shunts 0 Shunt (inj) -0.0 0.0
Branches 5 Losses (I^2 * Z) 0.00 0.00
Transformers 0 Branch Charging (inj) - 0.0
Inter-ties 0 Total Inter-tie Flow 0.0 0.0
Areas 1
Minimum Maximum
Voltage Magnitude 1.000 p.u. @ bus 1 1.000 p.u. @ bus 1
Voltage Angle -11.10 deg @ bus 3 0.00 deg @ bus 1
================================================================================
| Bus Data |
================================================================================
Bus Voltage Generation Load
# Mag(pu) Ang(deg) P (MW) Q (MVAr) P (MW) Q (MVAr)
1 1.000 0.000* 182.00 0.00 50.00 0.00
2 1.000 -7.435 - - 170.00 0.00
3 1.000 -11.100 - - 200.00 0.00
4 1.000 -3.812 318.00 0.00 80.00 0.00
Total: 500.00 0.00 500.00 0.00
================================================================================
| Branch Data |
================================================================================
Brnch From To From Bus Injection To Bus Injection Loss (I^2 * Z)
# Bus Bus P (MW) Q (MVAr) P (MW) Q (MVAr) P (MW) Q (MVAr)

2. 29-04-2020 21:45 MATLAB Command Window 2 of 7
1 1 2 0.00 0.00 -0.00 0.00 0.000 0.00
2 1 3 0.00 0.00 -0.00 0.00 0.000 0.00
3 1 4 132.00 0.00 -132.00 0.00 0.000 0.00
4 2 4 -170.00 0.00 170.00 0.00 0.000 0.00
5 3 4 -200.00 0.00 200.00 0.00 0.000 0.00
Total: 0.000 0.00
>> %
%• Modelo AC usando Newton
%
% Esse modelo é possivel segundo o seguinte comando:
runpf('DC_exer_1')
MATPOWER Version 6.0, 16-Dec-2016 -- AC Power Flow (Newton)
Newton's method power flow converged in 4 iterations.
Converged in 0.02 seconds
================================================================================
| System Summary |
================================================================================
How many? How much? P (MW) Q (MVAr)
Buses 4 Total Gen Capacity 318.0 -200.0 to 200.0
Generators 2 On-line Capacity 318.0 -200.0 to 200.0
Committed Gens 2 Generation (actual) 514.2 350.8
Loads 4 Load 500.0 309.9
Fixed 4 Fixed 500.0 309.9
Dispatchable 0 Dispatchable -0.0 of -0.0 -0.0
Shunts 0 Shunt (inj) -0.0 0.0
Branches 5 Losses (I^2 * Z) 14.17 70.86
Transformers 0 Branch Charging (inj) - 29.9
Inter-ties 0 Total Inter-tie Flow 0.0 0.0
Areas 1
Minimum Maximum
Voltage Magnitude 0.900 p.u. @ bus 3 1.020 p.u. @ bus 4
Voltage Angle -11.51 deg @ bus 3 0.00 deg @ bus 1
P Losses (I^2*R) - 8.49 MW @ line 3-4
Q Losses (I^2*X) - 42.47 MVAr @ line 3-4
================================================================================
| Bus Data |
================================================================================
Bus Voltage
# Mag(pu) Ang(deg)
Generation
P (MW) Q (MVAr)
Load
P (MW) Q (MVAr)
1 1.000 0.000* 196.17 -36.82 50.00 30.99
2 0.966 -7.736 - - 170.00 105.35
3 0.900 -11.510 - - 200.00 123.94
4 1.020 -4.498 318.00 387.63 80.00 49.58
Total: 514.17 350.81 500.00 309.86

3. 29-04-2020 21:45 MATLAB Command Window 3 of 7
================================================================================
| Branch Data |
================================================================================
Brnch From To From Bus Injection To Bus Injection Loss (I^2 * Z)
# Bus Bus P (MW) Q (MVAr) P (MW) Q (MVAr) P (MW) Q (MVAr)
1 1 2 0.00 0.00 0.00 0.00 0.000 0.00
2 1 3 0.00 0.00 0.00 0.00 0.000 0.00
3 1 4 146.17 -67.81 -143.62 70.10 2.550 12.75
4 2 4 -170.00 -105.35 173.13 113.34 3.129 15.64
5 3 4 -200.00 -123.94 208.49 154.61 8.493 42.47
Total: 14.172 70.86
>> %
% A seguir apresetamos os resultados do fluxo de potência usando
% O Agorítimo Newton desacoplamento rápido na versão XB %
% desta vez apresento também o resumo do processo iterrativo%
% |
mpopt=mpoption('pf.alg','FDXB');
result=runpf('DC_exer_1',mpopt)
MATPOWER Version 6.0, 16-Dec-2016 -- AC Power Flow (fast-decoupled, XB)
Fast-decoupled power flow converged in 9 P-iterations and 8 Q-iterations.
Converged in 0.29 seconds
================================================================================
| System Summary |
================================================================================
How many? How much? P (MW) Q (MVAr)
Buses 4 Total Gen Capacity 318.0 -200.0 to 200.0
Generators 2 On-line Capacity 318.0 -200.0 to 200.0
Committed Gens 2 Generation (actual) 514.2 350.8
Loads 4 Load 500.0 309.9
Fixed 4 Fixed 500.0 309.9
Dispatchable 0 Dispatchable -0.0 of -0.0 -0.0
Shunts 0 Shunt (inj) -0.0 0.0
Branches 5 Losses (I^2 * Z) 14.17 70.86
Transformers 0 Branch Charging (inj) - 29.9
Inter-ties 0 Total Inter-tie Flow 0.0 0.0
Areas 1
Minimum Maximum
Voltage Magnitude 0.900 p.u. @ bus 3 1.020 p.u. @ bus 4
Voltage Angle -11.51 deg @ bus 3 0.00 deg @ bus 1
P Losses (I^2*R) - 8.49 MW @ line 3-4
Q Losses (I^2*X) - 42.47 MVAr @ line 3-4
================================================================================
| Bus Data |

4. 29-04-2020 21:45 MATLAB Command Window 4 of 7
================================================================================
Bus Voltage Generation Load
# Mag(pu) Ang(deg) P (MW) Q (MVAr) P (MW) Q (MVAr)
1 1.000 0.000* 196.17 -36.82 50.00 30.99
2 0.966 -7.736 - - 170.00 105.35
3 0.900 -11.510 - - 200.00 123.94
4 1.020 -4.498 318.00 387.63 80.00 49.58
Total: 514.17 350.81 500.00 309.86
================================================================================
| Branch Data |
================================================================================
Brnch From To From Bus Injection To Bus Injection Loss (I^2 * Z)
# Bus Bus P (MW) Q (MVAr) P (MW) Q (MVAr) P (MW) Q (MVAr)
1 1 2 0.00 0.00 0.00 0.00 0.000 0.00
2 1 3 0.00 0.00 0.00 0.00 0.000 0.00
3 1 4 146.17 -67.81 -143.62 70.10 2.550 12.75
4 2 4 -170.00 -105.35 173.13 113.34 3.129 15.64
5 3 4 -200.00 -123.94 208.49 154.61 8.493 42.47
Total: 14.172 70.86
result =
version:
baseMVA:
bus:
'2'
100
[4x13 double]
gen:
branch:
[2x21
[5x17
double]
double]
order: [1x1 struct]
et: 0.2890
success: 1
iterations: 9
>> % Sintese do processo iterativo
mpopt=mpoption('pf.alg',2,'verbose',2,'out.all',0);
result=runpf('DC_exer_1',mpopt);