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UnitCommitment.jl/test/solution/methods/XavQiuWanThi19/sensitivity_test.jl

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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
using UnitCommitment, Test, LinearAlgebra
@testset "_susceptance_matrix" begin
instance = UnitCommitment.read("$FIXTURES/case14.json.gz")
sc = instance.scenarios[1]
actual = UnitCommitment._susceptance_matrix(sc.lines)
@test size(actual) == (20, 20)
expected = Diagonal([
29.5,
7.83,
8.82,
9.9,
10.04,
10.2,
41.45,
8.35,
3.14,
6.93,
8.77,
6.82,
13.4,
9.91,
15.87,
20.65,
6.46,
9.09,
8.73,
5.02,
])
@test round.(actual, digits = 2) == expected
end
@testset "_reduced_incidence_matrix" begin
instance = UnitCommitment.read("$FIXTURES/case14.json.gz")
sc = instance.scenarios[1]
actual = UnitCommitment._reduced_incidence_matrix(
lines = sc.lines,
buses = sc.buses,
)
@test size(actual) == (20, 13)
@test actual[1, 1] == -1.0
@test actual[3, 1] == 1.0
@test actual[4, 1] == 1.0
@test actual[5, 1] == 1.0
@test actual[3, 2] == -1.0
@test actual[6, 2] == 1.0
@test actual[4, 3] == -1.0
@test actual[6, 3] == -1.0
@test actual[7, 3] == 1.0
@test actual[8, 3] == 1.0
@test actual[9, 3] == 1.0
@test actual[2, 4] == -1.0
@test actual[5, 4] == -1.0
@test actual[7, 4] == -1.0
@test actual[10, 4] == 1.0
@test actual[10, 5] == -1.0
@test actual[11, 5] == 1.0
@test actual[12, 5] == 1.0
@test actual[13, 5] == 1.0
@test actual[8, 6] == -1.0
@test actual[14, 6] == 1.0
@test actual[15, 6] == 1.0
@test actual[14, 7] == -1.0
@test actual[9, 8] == -1.0
@test actual[15, 8] == -1.0
@test actual[16, 8] == 1.0
@test actual[17, 8] == 1.0
@test actual[16, 9] == -1.0
@test actual[18, 9] == 1.0
@test actual[11, 10] == -1.0
@test actual[18, 10] == -1.0
@test actual[12, 11] == -1.0
@test actual[19, 11] == 1.0
@test actual[13, 12] == -1.0
@test actual[19, 12] == -1.0
@test actual[20, 12] == 1.0
@test actual[17, 13] == -1.0
@test actual[20, 13] == -1.0
end
@testset "_injection_shift_factors" begin
instance = UnitCommitment.read("$FIXTURES/case14.json.gz")
sc = instance.scenarios[1]
actual = UnitCommitment._injection_shift_factors(
lines = sc.lines,
buses = sc.buses,
)
@test size(actual) == (20, 13)
@test round.(actual, digits = 2) == [
-0.84 -0.75 -0.67 -0.61 -0.63 -0.66 -0.66 -0.65 -0.65 -0.64 -0.63 -0.63 -0.64
-0.16 -0.25 -0.33 -0.39 -0.37 -0.34 -0.34 -0.35 -0.35 -0.36 -0.37 -0.37 -0.36
0.03 -0.53 -0.15 -0.1 -0.12 -0.14 -0.14 -0.14 -0.13 -0.13 -0.12 -0.12 -0.13
0.06 -0.14 -0.32 -0.22 -0.25 -0.3 -0.3 -0.29 -0.28 -0.27 -0.25 -0.26 -0.27
0.08 -0.07 -0.2 -0.29 -0.26 -0.22 -0.22 -0.22 -0.23 -0.25 -0.26 -0.26 -0.24
0.03 0.47 -0.15 -0.1 -0.12 -0.14 -0.14 -0.14 -0.13 -0.13 -0.12 -0.12 -0.13
0.08 0.31 0.5 -0.3 -0.03 0.36 0.36 0.28 0.23 0.1 -0.0 0.02 0.17
0.0 0.01 0.02 -0.01 -0.22 -0.63 -0.63 -0.45 -0.41 -0.32 -0.24 -0.25 -0.36
0.0 0.01 0.01 -0.01 -0.12 -0.17 -0.17 -0.26 -0.24 -0.18 -0.14 -0.14 -0.21
-0.0 -0.02 -0.03 0.02 -0.66 -0.2 -0.2 -0.29 -0.36 -0.5 -0.63 -0.61 -0.43
-0.0 -0.01 -0.02 0.01 0.21 -0.12 -0.12 -0.17 -0.28 -0.53 0.18 0.15 -0.03
-0.0 -0.0 -0.0 0.0 0.03 -0.02 -0.02 -0.03 -0.02 0.01 -0.52 -0.17 -0.09
-0.0 -0.01 -0.01 0.01 0.11 -0.06 -0.06 -0.09 -0.05 0.02 -0.28 -0.59 -0.31
-0.0 -0.0 -0.0 -0.0 -0.0 -0.0 -1.0 -0.0 -0.0 -0.0 -0.0 -0.0 0.0
0.0 0.01 0.02 -0.01 -0.22 0.37 0.37 -0.45 -0.41 -0.32 -0.24 -0.25 -0.36
0.0 0.01 0.02 -0.01 -0.21 0.12 0.12 0.17 -0.72 -0.47 -0.18 -0.15 0.03
0.0 0.01 0.01 -0.01 -0.14 0.08 0.08 0.12 0.07 -0.03 -0.2 -0.24 -0.6
0.0 0.01 0.02 -0.01 -0.21 0.12 0.12 0.17 0.28 -0.47 -0.18 -0.15 0.03
-0.0 -0.0 -0.0 0.0 0.03 -0.02 -0.02 -0.03 -0.02 0.01 0.48 -0.17 -0.09
-0.0 -0.01 -0.01 0.01 0.14 -0.08 -0.08 -0.12 -0.07 0.03 0.2 0.24 -0.4
]
end
@testset "_line_outage_factors" begin
instance = UnitCommitment.read("$FIXTURES/case14.json.gz")
sc = instance.scenarios[1]
isf_before = UnitCommitment._injection_shift_factors(
lines = sc.lines,
buses = sc.buses,
)
lodf = UnitCommitment._line_outage_factors(
lines = sc.lines,
buses = sc.buses,
isf = isf_before,
)
for contingency in sc.contingencies
for lc in contingency.lines
prev_susceptance = lc.susceptance
lc.susceptance = 0.0
isf_after = UnitCommitment._injection_shift_factors(
lines = sc.lines,
buses = sc.buses,
)
lc.susceptance = prev_susceptance
for lm in sc.lines
expected = isf_after[lm.offset, :]
actual =
isf_before[lm.offset, :] +
lodf[lm.offset, lc.offset] * isf_before[lc.offset, :]
@test norm(expected - actual) < 1e-6
end
end
end
end