Python package for Power System Analysis, Optimization and Dynamics
pip install powersys
import powersys as ps
from powersys.objects import *
# Construct new model
model = ps.models.PowerSystem()
# Add 3 buses
model.add(Busbar(type = model.SLACK, V = 1.00, angle = 0.0)) # Slack bus
model.add(Busbar(type = model.PV, V = 1.01, angle = 0.0, Pgen = 0.5, Qgen = 0.3)) # PV
model.add(Busbar(type = model.PQ, V = 1.00, angle = 0.0, Pload = 0.5, Qload = 0.2)) # PQ
# Add 3 lines to form a ring
model.add(Line(from_bus = 0, to_bus = 1, R = 0.1, X = 0.01))
model.add(Line(from_bus = 0, to_bus = 2, R = 0.1, X = 0.01))
model.add(Line(from_bus = 1, to_bus = 2, R = 0.1, X = 0.01))
print(model)PowerSystem model
Buses: 3 Lines: 3 Generators: 0
Frequency: 60 MVA-Base: 100
Busbar data:
id type V angle Pgen Qgen Pload Qload Vmin Vmax Pgen_fixed Qgen_fixed
---- ------ ---- ------- ------ ------ ------- ------- ------ ------ ------------ ------------
0 3 1 0 0 0 0 0 0.95 1.05 0 0
1 2 1.01 0 0.5 0.3 0 0 0.95 1.05 0.5 0.3
2 0 1 0 0 0 0.5 0.2 0.95 1.05 0 0
Transmission line data:
id from_bus to_bus R X Z B a mva
---- ---------- -------- --- ---- ----------- --- --- -----
0 0 1 0.1 0.01 (0.1+0.01j) 0 1 inf
1 0 2 0.1 0.01 (0.1+0.01j) 0 1 inf
2 1 2 0.1 0.01 (0.1+0.01j) 0 1 infimport powersys as ps
ieee9 = ps.datasets.IEEE9()
model = ps.models.PowerSystem(data = ieee9)
print(model)PowerSystem model
Buses: 9 Lines: 9 Generators: 0
Frequency: 60 MVA-Base: 100
Busbar data:
id type V angle Pgen Qgen Pload Qload Vmin Vmax Pgen_fixed Qgen_fixed
---- ------ ----- ------- ------ ------ ------- ------- ------ ------ ------------ ------------
0 3 1.04 0 0 0 0 0 0.95 1.05 0 0
1 2 1.025 0 1.63 0 0 0 0.95 1.05 1.63 0
2 2 1.025 0 0.85 0 0 0 0.95 1.05 0.85 0
3 0 1 0 0 0 0 0 0.95 1.05 0 0
4 0 1 0 0 0 1.25 0.5 0.95 1.05 0 0
5 0 1 0 0 0 0.9 0.3 0.95 1.05 0 0
6 0 1 0 0 0 0 0 0.95 1.05 0 0
7 0 1 0 0 0 1 0.35 0.95 1.05 0 0
8 0 1 0 0 0 0 0 0.95 1.05 0 0
Transmission line data:
id from_bus to_bus R X Z B a mva
---- ---------- -------- ------ ------ ---------------- ----- --- -----
0 0 3 0 0.0576 0.0576j 0 1 inf
1 1 6 0 0.0625 0.0625j 0 1 inf
2 2 8 0 0.0586 0.0586j 0 1 inf
3 3 4 0.01 0.085 (0.01+0.085j) 0.176 1 inf
4 3 5 0.017 0.092 (0.017+0.092j) 0.158 1 inf
5 4 6 0.032 0.161 (0.032+0.161j) 0.306 1 inf
6 5 8 0.039 0.17 (0.039+0.17j) 0.358 1 inf
7 6 7 0.0085 0.072 (0.0085+0.072j) 0.149 1 inf
8 7 8 0.0119 0.1008 (0.0119+0.1008j) 0.209 1 infNote: This graph is not the actual Power System schematic. It is used only to make it easier for users to see voltages/currents/powers.
import powersys as ps
ieee9 = ps.datasets.IEEE9()
model = ps.models.PowerSystem(data = ieee9)
model.plot()
Check model variables before solving
import powersys as ps
# Load model
model = ps.models.PowerSystem(data = ps.datasets.IEEE9())
print(model)PowerSystem model
Buses: 9 Lines: 9 Generators: 0
Frequency: 60 MVA-Base: 100
Busbar data:
id type V angle Pgen Qgen Pload Qload Vmin Vmax Pgen_fixed Qgen_fixed
---- ------ ----- ------- ------ ------ ------- ------- ------ ------ ------------ ------------
0 3 1.04 0 0 0 0 0 0.95 1.05 0 0
1 2 1.025 0 1.63 0 0 0 0.95 1.05 1.63 0
2 2 1.025 0 0.85 0 0 0 0.95 1.05 0.85 0
3 0 1 0 0 0 0 0 0.95 1.05 0 0
4 0 1 0 0 0 1.25 0.5 0.95 1.05 0 0
5 0 1 0 0 0 0.9 0.3 0.95 1.05 0 0
6 0 1 0 0 0 0 0 0.95 1.05 0 0
7 0 1 0 0 0 1 0.35 0.95 1.05 0 0
8 0 1 0 0 0 0 0 0.95 1.05 0 0
Transmission line data:
id from_bus to_bus R X Z B a mva
---- ---------- -------- ------ ------ ---------------- ----- --- -----
0 0 3 0 0.0576 0.0576j 0 1 inf
1 1 6 0 0.0625 0.0625j 0 1 inf
2 2 8 0 0.0586 0.0586j 0 1 inf
3 3 4 0.01 0.085 (0.01+0.085j) 0.176 1 inf
4 3 5 0.017 0.092 (0.017+0.092j) 0.158 1 inf
5 4 6 0.032 0.161 (0.032+0.161j) 0.306 1 inf
6 5 8 0.039 0.17 (0.039+0.17j) 0.358 1 inf
7 6 7 0.0085 0.072 (0.0085+0.072j) 0.149 1 inf
8 7 8 0.0119 0.1008 (0.0119+0.1008j) 0.209 1 infNow, solve it and display calculated variables
solver = ps.solvers.LF(model)
# Solve
solver.solve(method = "newton-raphson") # tol = 1E-6 by default
# Print results
print(model)METHOD: newton-raphson
Load flow solved in 197 iterations!
PowerSystem model
Buses: 9 Lines: 9 Generators: 0
Frequency: 60 MVA-Base: 100
Busbar data:
id type V angle Pgen Qgen Pload Qload Vmin Vmax Pgen_fixed Qgen_fixed
---- ------ -------- ---------- ------ ------ ------- ------- ------ ------ ------------ ------------
0 3 1.04 0 0 0 0 0 0.95 1.05 0 0
1 2 1.025 0.161946 0 0 0 0 0.95 1.05 1.63 0
2 2 1.025 0.0813948 0 0 0 0 0.95 1.05 0.85 0
3 0 1.02579 -0.0386968 0 0 0 0 0.95 1.05 0 0
4 0 0.995632 -0.0696291 0 0 1.25 0.5 0.95 1.05 0 0
5 0 1.01266 -0.0643686 0 0 0.9 0.3 0.95 1.05 0 0
6 0 1.02577 0.0649012 0 0 0 0 0.95 1.05 0 0
7 0 1.01588 0.0126773 0 0 1 0.35 0.95 1.05 0 0
8 0 1.03235 0.0343016 0 0 0 0 0.95 1.05 0 0
Transmission line data:
id from_bus to_bus R X Z B a mva
---- ---------- -------- ------ ------ ---------------- ----- --- -----
0 0 3 0 0.0576 0.0576j 0 1 inf
1 1 6 0 0.0625 0.0625j 0 1 inf
2 2 8 0 0.0586 0.0586j 0 1 inf
3 3 4 0.01 0.085 (0.01+0.085j) 0.176 1 inf
4 3 5 0.017 0.092 (0.017+0.092j) 0.158 1 inf
5 4 6 0.032 0.161 (0.032+0.161j) 0.306 1 inf
6 5 8 0.039 0.17 (0.039+0.17j) 0.358 1 inf
7 6 7 0.0085 0.072 (0.0085+0.072j) 0.149 1 inf
8 7 8 0.0119 0.1008 (0.0119+0.1008j) 0.209 1 infYou can also solve the Load Flow problem using Gauss-Seidel method
solver = ps.solvers.LF(model)
solver.solve(method="gauss-seidel")
print(model)
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