def test_solution(self):
""" Test AC OPF solution.
"""
msg = self.case_name
solution = self.solver.solve()
lmbda = solution["lmbda"]
f = mmread(join(DATA_DIR, self.case_name, "opf", "f_AC.mtx"))
x = mmread(join(DATA_DIR, self.case_name, "opf", "x_AC.mtx"))
diff = 1e-4
# FIXME: Improve accuracy.
self.assertAlmostEqual(solution["f"], f[0], places=3)
self.assertTrue(mfeq1(solution["x"], x.flatten(), diff))
if len(lmbda["mu_l"]) > 0:
mu_l = mmread(join(DATA_DIR, self.case_name, "opf", "mu_l_AC.mtx"))
self.assertTrue(mfeq1(lmbda["mu_l"], mu_l.flatten(), diff), msg)
if len(lmbda["mu_u"]) > 0:
mu_u = mmread(join(DATA_DIR, self.case_name, "opf", "mu_u_AC.mtx"))
self.assertTrue(mfeq1(lmbda["mu_u"], mu_u.flatten(), diff), msg)
if len(lmbda["lower"]) > 0:
muLB = mmread(join(DATA_DIR, self.case_name, "opf", "muLB_AC.mtx"))
# FIXME: Improve accuracy.
self.assertTrue(mfeq1(lmbda["lower"], muLB.flatten(), diff), msg)
if len(lmbda["upper"]) > 0:
muUB = mmread(join(DATA_DIR, self.case_name, "opf", "muUB_AC.mtx"))
# FIXME: Improve accuracy.
self.assertTrue(mfeq1(lmbda["upper"], muUB.flatten(), diff), msg)
def test_var_bounds(self):
""" Test bounds on optimisation variables.
"""
msg = self.case_name
_, xmin, xmax = self.solver._var_bounds()
mpxmin = mmread(join(DATA_DIR, self.case_name, "opf", "xmin_AC.mtx"))
mpxmax = mmread(join(DATA_DIR, self.case_name, "opf", "xmax_AC.mtx"))
self.assertTrue(mfeq1(xmin, mpxmin.flatten()), msg)
self.assertTrue(mfeq1(xmax, mpxmax.flatten()), msg)
def test_var_bounds(self):
""" Test bounds on optimisation variables.
"""
_, xmin, xmax = self.solver._var_bounds()
# mpx0 = mmread(join(DATA_DIR, self.case_name, "opf", "x0_DC.mtx"))
mpxmin = mmread(join(DATA_DIR, self.case_name, "opf", "xmin_DC.mtx"))
mpxmax = mmread(join(DATA_DIR, self.case_name, "opf", "xmax_DC.mtx"))
# self.assertTrue(alltrue(x0 == mpx0.flatten()), self.case_name)
self.assertTrue(mfeq1(xmin, mpxmin.flatten()), self.case_name)
self.assertTrue(mfeq1(xmax, mpxmax.flatten()), self.case_name)
def test_constraints(self):
""" Test equality and inequality constraints.
"""
AA, ll, uu = self.solver._linear_constraints(self.om)
mpA = mmread(join(DATA_DIR, self.case_name, "opf", "A_DC.mtx"))
mpl = mmread(join(DATA_DIR, self.case_name, "opf", "l_DC.mtx"))
mpu = mmread(join(DATA_DIR, self.case_name, "opf", "u_DC.mtx"))
self.assertTrue(mfeq2(AA, mpA.tocsr()), self.case_name)
self.assertTrue(mfeq1(ll, mpl.flatten()), self.case_name)
self.assertTrue(mfeq1(uu, mpu.flatten()), self.case_name)
def testVa(self):
""" Test voltage angle variable.
"""
msg = self.case_name
bs, _, _ = self.opf._remove_isolated(self.case)
_, refs = self.opf._ref_check(self.case)
Va = self.opf._get_voltage_angle_var(refs, bs)
mpVa0 = mmread(join(DATA_DIR, self.case_name, "opf", "Va0.mtx"))
mpVal = mmread(join(DATA_DIR, self.case_name, "opf", "Val.mtx"))
mpVau = mmread(join(DATA_DIR, self.case_name, "opf", "Vau.mtx"))
self.assertTrue(mfeq1(Va.v0, mpVa0.flatten()), msg)
self.assertTrue(mfeq1(Va.vl, mpVal.flatten()), msg)
self.assertTrue(mfeq1(Va.vu, mpVau.flatten()), msg)
def testPg(self):
""" Test active power variable.
"""
msg = self.case_name
self.case.sort_generators() # ext2int
_, _, gn = self.opf._remove_isolated(self.case)
Pg = self.opf._get_pgen_var(gn, self.case.base_mva)
mpPg0 = mmread(join(DATA_DIR, self.case_name, "opf", "Pg0.mtx"))
mpPmin = mmread(join(DATA_DIR, self.case_name, "opf", "Pmin.mtx"))
mpPmax = mmread(join(DATA_DIR, self.case_name, "opf", "Pmax.mtx"))
self.assertTrue(mfeq1(Pg.v0, mpPg0.flatten()), msg)
self.assertTrue(mfeq1(Pg.vl, mpPmin.flatten()), msg)
self.assertTrue(mfeq1(Pg.vu, mpPmax.flatten()), msg)
def testVLConstPF(self):
""" Test dispatchable load, constant power factor constraints.
"""
msg = self.case_name
_, _, gn = self.opf._remove_isolated(self.case)
vl = self.opf._const_pf_constraints(gn, self.case.base_mva)
if vl.A.shape[0] != 0:
Avl = mmread(join(DATA_DIR, self.case_name, "opf", "Avl.mtx"))
self.assertTrue(mfeq2(vl.A, Avl.tocsr()), msg)
lvl = mmread(join(DATA_DIR, self.case_name, "opf", "lang.mtx"))
self.assertTrue(mfeq1(vl.l, lvl.flatten()), msg)
uvl = mmread(join(DATA_DIR, self.case_name, "opf", "uang.mtx"))
self.assertTrue(mfeq1(vl.u, uvl.flatten()), msg)
def testPfPt(self):
""" Test branch flow limit constraints.
"""
msg = self.case_name
_, ln, _ = self.opf._remove_isolated(self.case)
_, Bf, _, Pfinj = self.case.Bdc
Pf, Pt = self.opf._branch_flow_dc(ln, Bf, Pfinj, self.case.base_mva)
lpf = mmread(join(DATA_DIR, self.case_name, "opf", "lpf.mtx"))
upf = mmread(join(DATA_DIR, self.case_name, "opf", "upf.mtx"))
upt = mmread(join(DATA_DIR, self.case_name, "opf", "upt.mtx"))
self.assertTrue(mfeq1(Pf.l, lpf.flatten()), msg)
self.assertTrue(mfeq1(Pf.u, upf.flatten()), msg)
self.assertTrue(mfeq1(Pt.l, lpf.flatten()), msg)
self.assertTrue(mfeq1(Pt.u, upt.flatten()), msg)
def testPmis(self):
""" Test active power mismatch constraints.
"""
msg = self.case_name
case = self.case
case.sort_generators() # ext2int
B, _, Pbusinj, _ = case.Bdc
bs, _, gn = self.opf._remove_isolated(case)
Pmis = self.opf._power_mismatch_dc(bs, gn, B, Pbusinj, case.base_mva)
mpAmis = mmread(join(DATA_DIR, self.case_name, "opf", "Amis.mtx"))
mpbmis = mmread(join(DATA_DIR, self.case_name, "opf", "bmis.mtx"))
self.assertTrue(mfeq2(Pmis.A, mpAmis.tocsr(), 1e-12), msg)
self.assertTrue(mfeq1(Pmis.l, mpbmis.flatten()), msg)
self.assertTrue(mfeq1(Pmis.u, mpbmis.flatten()), msg)
def testNewtonV(self):
""" Test the voltage vector solution from Newton's method.
"""
solution = NewtonPF(self.case).solve()
mpV = mmread(join(DATA_DIR, self.case_name, "V_Newton.mtx")).flatten()
self.assertTrue(mfeq1(solution["V"], mpV), self.case_name)
def testVm(self):
""" Test voltage magnitude variable.
"""
bs, _, gn = self.opf._remove_isolated(self.case)
Vm = self.opf._get_voltage_magnitude_var(bs, gn)
mpVm0 = mmread(join(DATA_DIR, self.case_name, "opf", "Vm0.mtx"))
self.assertTrue(mfeq1(Vm.v0, mpVm0.flatten()), self.case_name)
def testFastDecoupledPFVBX(self):
""" Test the voltage vector solution from the fast-decoupled method
(BX version).
"""
solution = FastDecoupledPF(self.case, method=BX).solve()
mpV = mmread(join(DATA_DIR, self.case_name, "V_BX.mtx")).flatten()
self.assertTrue(mfeq1(solution["V"], mpV), self.case_name)
def testVang(self):
""" Test voltage angle difference limit constraint.
"""
msg = self.case_name
self.opf.ignore_ang_lim = False
bs, ln, _ = self.opf._remove_isolated(self.case)
ang = self.opf._voltage_angle_diff_limit(bs, ln)
if ang.A.shape[0] != 0:
Aang = mmread(join(DATA_DIR, self.case_name, "opf", "Aang.mtx"))
else:
Aang = None
lang = mmread(join(DATA_DIR, self.case_name, "opf", "lang.mtx"))
uang = mmread(join(DATA_DIR, self.case_name, "opf", "uang.mtx"))
if Aang is not None:
self.assertTrue(mfeq2(ang.A, Aang.tocsr()), msg)
self.assertTrue(mfeq1(ang.l, lang.flatten()), msg)
self.assertTrue(mfeq1(ang.u, uang.flatten()), msg)
def test_pwl_costs(self):
""" Test piecewise linear costs.
"""
msg = self.case_name
b, l, g, _ = self.solver._unpack_model(self.om)
_, ipwl, _, _, _, ny, nxyz = self.solver._dimension_data(b, l, g)
Npwl, Hpwl, Cpwl, fparm_pwl, _ = \
self.solver._pwl_costs(ny, nxyz, ipwl)
if Npwl is not None:
mpNpwl = mmread(join(DATA_DIR, self.case_name, "opf", "Npwl.mtx"))
mpHpwl = mmread(join(DATA_DIR, self.case_name, "opf", "Hpwl.mtx"))
mpCpwl = mmread(join(DATA_DIR, self.case_name, "opf", "Cpwl.mtx"))
mpfparm = mmread(join(DATA_DIR, self.case_name, "opf","fparm_pwl.mtx"))
self.assertTrue(mfeq2(Npwl, mpNpwl.tocsr()), msg)
self.assertTrue(mfeq2(Hpwl.todense(), mpHpwl), msg)
self.assertTrue(mfeq1(Cpwl, mpCpwl.flatten()), msg)
self.assertTrue(mfeq1(fparm_pwl.flatten(), mpfparm.flatten()), msg)
def test_initial_point(self):
""" Test selection of an initial interior point.
"""
b, l, g, _ = self.solver._unpack_model(self.om)
_, LB, UB = self.solver._var_bounds()
_, _, _, _, _, ny, _ = self.solver._dimension_data(b, l, g)
x0 = self.solver._initial_interior_point(b, g, LB, UB, ny)
mpx0 = mmread(join(DATA_DIR, self.case_name, "opf", "x0_AC.mtx"))
self.assertTrue(mfeq1(x0, mpx0.flatten()), self.case_name)
def testV0(self):
""" Test the initial voltage vector.
"""
solver = _ACPF(self.case)
b, _, g, _, _, _, _ = solver._unpack_case(self.case)
self.case.index_buses(b)
V0 = solver._initial_voltage(b, g)
mpV0 = mmread(join(DATA_DIR, self.case_name, "V0.mtx")).flatten()
self.assertTrue(mfeq1(V0, mpV0), self.case_name)
def test_solution(self):
""" Test DC OPF solution.
"""
msg = self.case_name
solution = self.solver.solve()
lmbda = solution["lmbda"]
mpf = mmread(join(DATA_DIR, self.case_name, "opf", "f_DC.mtx"))
mpx = mmread(join(DATA_DIR, self.case_name, "opf", "x_DC.mtx"))
mpmu_l = mmread(join(DATA_DIR, self.case_name, "opf", "mu_l_DC.mtx"))
mpmu_u = mmread(join(DATA_DIR, self.case_name, "opf", "mu_u_DC.mtx"))
mpmuLB = mmread(join(DATA_DIR, self.case_name, "opf", "muLB_DC.mtx"))
mpmuUB = mmread(join(DATA_DIR, self.case_name, "opf", "muUB_DC.mtx"))
diff = 1e-09
self.assertAlmostEqual(solution["f"], mpf[0], places=6)
self.assertTrue(mfeq1(solution["x"], mpx.flatten(), diff), msg)
self.assertTrue(mfeq1(lmbda["mu_l"], mpmu_l.flatten(), diff), msg)
self.assertTrue(mfeq1(lmbda["mu_u"], mpmu_u.flatten(), diff), msg)
self.assertTrue(mfeq1(lmbda["lower"], mpmuLB.flatten(), diff), msg)
self.assertTrue(mfeq1(lmbda["upper"], mpmuUB.flatten(), diff), msg)
def testAy(self):
""" Test basin constraints for piece-wise linear gen cost variables.
"""
msg = self.case_name
self.case.sort_generators() # ext2int
_, _, gn = self.opf._remove_isolated(self.case)
_, ycon = self.opf._pwl_gen_costs(gn, self.case.base_mva)
if ycon is not None:
Ay = mmread(join(DATA_DIR, self.case_name, "opf", "Ay_DC.mtx"))
by = mmread(join(DATA_DIR, self.case_name, "opf", "by_DC.mtx"))
self.assertTrue(mfeq2(ycon.A, Ay.tocsr()), msg)
self.assertTrue(mfeq1(ycon.u, by.flatten()), msg)
def test_poly_costs(self):
""" Test quadratic costs.
"""
msg = self.case_name
base_mva = self.om.case.base_mva
b, l, g, _ = self.solver._unpack_model(self.om)
ipol, _, _, _, _, _, nxyz = self.solver._dimension_data(b, l, g)
Npol, Hpol, Cpol, fparm_pol, _, _ = \
self.solver._quadratic_costs(g, ipol, nxyz, base_mva)
if Npol is not None:
mpNpol = mmread(join(DATA_DIR, self.case_name, "opf", "Npol.mtx"))
mpHpol = mmread(join(DATA_DIR, self.case_name, "opf", "Hpol.mtx"))
mpCpol = mmread(join(DATA_DIR, self.case_name, "opf", "Cpol.mtx"))
mpfparm = mmread(join(DATA_DIR, self.case_name, "opf","fparm_pol.mtx"))
self.assertTrue(mfeq2(Npol, mpNpol.tocsr()), msg)
self.assertTrue(mfeq2(Hpol, mpHpol.tocsr()), msg)
self.assertTrue(mfeq1(Cpol, mpCpol.flatten()), msg)
self.assertTrue(mfeq2(fparm_pol, mpfparm), msg)
def test_combine_costs(self):
""" Test combination of pwl and poly costs.
"""
msg = self.case_name
base_mva = self.om.case.base_mva
b, l, g, _ = self.solver._unpack_model(self.om)
ipol, ipwl, _, _, nw, ny, nxyz = self.solver._dimension_data(b, l, g)
Npwl, Hpwl, Cpwl, fparm_pwl, any_pwl = self.solver._pwl_costs(ny, nxyz,
ipwl)
Npol, Hpol, Cpol, fparm_pol, _, npol = \
self.solver._quadratic_costs(g, ipol, nxyz, base_mva)
NN, HHw, CCw, ffparm = \
self.solver._combine_costs(Npwl, Hpwl, Cpwl, fparm_pwl, any_pwl,
Npol, Hpol, Cpol, fparm_pol, npol, nw)
mpNN = mmread(join(DATA_DIR, self.case_name, "opf", "NN.mtx"))
mpHHw = mmread(join(DATA_DIR, self.case_name, "opf", "HHw.mtx"))
mpCCw = mmread(join(DATA_DIR, self.case_name, "opf", "CCw.mtx"))
mpffparm = mmread(join(DATA_DIR, self.case_name, "opf", "ffparm.mtx"))
self.assertTrue(mfeq2(NN, mpNN.tocsr()), msg)
self.assertTrue(mfeq2(HHw, mpHHw.tocsr()), msg)
self.assertTrue(mfeq1(CCw, mpCCw.flatten()), msg)
self.assertTrue(mfeq2(ffparm, mpffparm), msg)
def test_coefficient_transformation(self):
""" Test transformation of quadratic coefficients for w into
coefficients for X.
"""
msg = self.case_name
base_mva = self.om.case.base_mva
b, l, g, _ = self.solver._unpack_model(self.om)
ipol, ipwl, _, _, nw, ny, nxyz = self.solver._dimension_data(b, l, g)
Npwl, Hpwl, Cpwl, fparm_pwl, any_pwl = \
self.solver._pwl_costs(ny, nxyz, ipwl)
Npol, Hpol, Cpol, fparm_pol, polycf, npol = \
self.solver._quadratic_costs(g, ipol, nxyz, base_mva)
NN, HHw, CCw, ffparm = \
self.solver._combine_costs(Npwl, Hpwl, Cpwl, fparm_pwl, any_pwl,
Npol, Hpol, Cpol, fparm_pol, npol, nw)
HH, CC, _ = \
self.solver._transform_coefficients(NN, HHw, CCw, ffparm, polycf,
any_pwl, npol, nw)
mpHH = mmread(join(DATA_DIR, self.case_name, "opf", "HH.mtx"))
mpCC = mmread(join(DATA_DIR, self.case_name, "opf", "CC.mtx"))
self.assertTrue(mfeq2(HH, mpHH.tocsr()), msg)
self.assertTrue(mfeq1(CC, mpCC.flatten()), msg)