def testDcOpf(self):
""" Test solving the auction case using DC OPF.
"""
solver = OPF(self.case, True, opt={"verbose": False})
solution = solver.solve()
self.assertTrue(solution["converged"])
self.assertAlmostEqual(solution["f"], -517.81, 2)
class OPFModelTest(unittest.TestCase):
""" Test case for the OPF model.
"""
def setUp(self):
""" The test runner will execute this method prior to each test.
"""
self.case = Case.load(POLY_FILE)
self.opf = OPF(self.case)
def test_dc_linear_constraints(self):
""" Test linear OPF constraints.
"""
self.opf.dc = True
om = self.opf._construct_opf_model(self.case)
A, l, u = om.linear_constraints()
self.assertEqual(A.shape, (28, 9))
self.assertEqual(l.shape, (28, ))
self.assertEqual(u.shape, (28, ))
pl = 4
self.assertAlmostEqual(A[0, 0], 13.3333, pl)
self.assertAlmostEqual(A[4, 2], -3.8462, pl)
self.assertAlmostEqual(A[2, 8], -1.0000, pl)
self.assertAlmostEqual(A[9, 1], 4.0000, pl)
self.assertAlmostEqual(A[27, 5], 3.3333, pl)
self.assertAlmostEqual(l[0], 0.0000, pl)
self.assertAlmostEqual(l[3], -0.7000, pl)
self.assertEqual(l[6], -Inf)
self.assertEqual(l[27], -Inf)
self.assertAlmostEqual(u[0], 0.0000, pl)
self.assertAlmostEqual(u[3], -0.7000, pl)
self.assertAlmostEqual(u[6], 0.4000, pl)
self.assertAlmostEqual(u[7], 0.6000, pl)
self.assertAlmostEqual(u[23], 0.9000, pl)
def test_ac_linear_constraints(self):
""" Test linear OPF constraints.
"""
self.opf.dc = False
om = self.opf._construct_opf_model(self.case)
A, l, u = om.linear_constraints()
self.assertEqual(A, None)
self.assertEqual(l.shape, (0, ))
self.assertEqual(u.shape, (0, ))
def setUp(self):
""" The test runner will execute this method prior to each test.
"""
self.case = Case.load(join(DATA_DIR, self.case_name,
self.case_name + ".pkl"))
self.case.sort_generators() # ext2int
self.opf = OPF(self.case, dc=False)
self.om = self.opf._construct_opf_model(self.case)
self.solver = PIPSSolver(self.om)
def setUp(self):
""" The test runner will execute this method prior to each test.
"""
self.case = Case.load(POLY_FILE)
self.opf = OPF(self.case)
def setUp(self):
""" The test runner will execute this method prior to each test.
"""
self.case = Case.load(join(DATA_DIR, self.case_name,
self.case_name + ".pkl"))
self.opf = OPF(self.case, dc=True)
class PIPSSolverTest(unittest.TestCase):
""" Defines a test case for the PIPS AC OPF solver.
"""
def __init__(self, methodName='runTest'):
super(PIPSSolverTest, self).__init__(methodName)
self.case_name = "case6ww"
self.case = None
self.opf = None
self.om = None
self.solver = None
def setUp(self):
""" The test runner will execute this method prior to each test.
"""
self.case = Case.load(join(DATA_DIR, self.case_name,
self.case_name + ".pkl"))
self.case.sort_generators() # ext2int
self.opf = OPF(self.case, dc=False)
self.om = self.opf._construct_opf_model(self.case)
self.solver = PIPSSolver(self.om)
def test_constraints(self):
""" Test equality and inequality constraints.
"""
msg = self.case_name
AA, ll, uu = self.solver._linear_constraints(self.om)
if AA is not None:
mpA = mmread(join(DATA_DIR, self.case_name, "opf", "A_AC.mtx"))
mpl = mmread(join(DATA_DIR, self.case_name, "opf", "l_AC.mtx"))
mpu = mmread(join(DATA_DIR, self.case_name, "opf", "u_AC.mtx"))
self.assertTrue(mfeq2(AA, mpA.tocsr()), msg)
self.assertTrue(mfeq1(ll, mpl.flatten()), msg)
self.assertTrue(mfeq1(uu, mpu.flatten()), 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_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 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)
# if len(lmbda["nl_mu_l"]) > 0:
# nl_mu_l = mmread(
# join(DATA_DIR, self.case_name, "opf", "nl_mu_l.mtx"))
# self.assertTrue(
# mfeq1(lmbda["nl_mu_l"], nl_mu_l.flatten()), msg)
#
# if len(lmbda["nl_mu_l"]) > 0:
# nl_mu_u = mmread(
# join(DATA_DIR, self.case_name, "opf", "nl_mu_u.mtx"))
# self.assertTrue(
# mfeq1(lmbda["nl_mu_u"], nl_mu_u.flatten()), msg)
def test_integrate_solution(self):
""" Test integration of AC OPF solution.
"""
self.solver.solve()
bus = mmread(join(DATA_DIR, self.case_name, "opf", "Bus_AC.mtx"))
gen = mmread(join(DATA_DIR, self.case_name, "opf", "Gen_AC.mtx"))
branch = mmread(join(DATA_DIR, self.case_name, "opf", "Branch_AC.mtx"))
# FIXME: Improve accuracy.
pl = 4
# bus_i type Pd Qd Gs Bs area Vm Va baseKV zone Vmax Vmin lam_P lam_Q mu_Vmax mu_Vmin
for i, bs in enumerate(self.case.buses):
self.assertAlmostEqual(bs.v_magnitude, bus[i, 7], pl) # Vm
self.assertAlmostEqual(bs.v_angle, bus[i, 8], pl) # Va
self.assertAlmostEqual(bs.p_lmbda, bus[i, 13], pl) # lam_P
self.assertAlmostEqual(bs.q_lmbda, bus[i, 14], pl) # lam_Q
# FIXME: Improve accuracy
self.assertAlmostEqual(bs.mu_vmax, bus[i, 15], pl) # mu_Vmax
self.assertAlmostEqual(bs.mu_vmin, bus[i, 16], pl) # mu_Vmin
# bus Pg Qg Qmax Qmin Vg mBase status Pmax Pmin Pc1 Pc2 Qc1min Qc1max
# Qc2min Qc2max ramp_agc ramp_10 ramp_30 ramp_q apf mu_Pmax mu_Pmin
# mu_Qmax mu_Qmin
for i, gn in enumerate(self.case.generators):
# FIXME: Improve accuracy
self.assertAlmostEqual(gn.p, gen[i, 1], pl) # Pg
self.assertAlmostEqual(gn.q, gen[i, 2], pl) # Qg
self.assertAlmostEqual(gn.v_magnitude, gen[i, 5], pl) # Vg
self.assertAlmostEqual(gn.mu_pmax, gen[i, 21], pl) # mu_Pmax
self.assertAlmostEqual(gn.mu_pmin, gen[i, 22], pl) # mu_Pmin
self.assertAlmostEqual(gn.mu_qmax, gen[i, 23], pl) # mu_Qmax
self.assertAlmostEqual(gn.mu_qmin, gen[i, 24], pl) # mu_Qmin
# fbus tbus r x b rateA rateB rateC ratio angle status angmin angmax
# Pf Qf Pt Qt mu_Sf mu_St mu_angmin mu_angmax
for i, ln in enumerate(self.case.branches):
self.assertAlmostEqual(ln.p_from, branch[i, 13], pl) # Pf
self.assertAlmostEqual(ln.q_from, branch[i, 14], pl) # Qf
self.assertAlmostEqual(ln.p_to, branch[i, 15], pl) # Pt
self.assertAlmostEqual(ln.q_to, branch[i, 16], pl) # Qt
self.assertAlmostEqual(ln.mu_s_from, branch[i, 17], pl) # mu_Sf
self.assertAlmostEqual(ln.mu_s_to, branch[i, 18], pl) # mu_St
self.assertAlmostEqual(ln.mu_angmin, branch[i, 19], pl)
self.assertAlmostEqual(ln.mu_angmax, branch[i, 20], pl)
class DCOPFTest(unittest.TestCase):
""" Defines a test case for DC OPF.
"""
def __init__(self, methodName='runTest'):
super(DCOPFTest, self).__init__(methodName)
#: Name of the folder in which the MatrixMarket data exists.
self.case_name = "case6ww"
self.case = None
self.opf = None
def setUp(self):
""" The test runner will execute this method prior to each test.
"""
self.case = Case.load(join(DATA_DIR, self.case_name,
self.case_name + ".pkl"))
self.opf = OPF(self.case, dc=True)
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 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 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 testQg(self):
""" Test reactive power variable.
"""
msg = self.case_name
self.case.sort_generators() # ext2int
_, _, gn = self.opf._remove_isolated(self.case)
Qg = self.opf._get_qgen_var(gn, self.case.base_mva)
mpQg0 = mmread(join(DATA_DIR, self.case_name, "opf", "Qg0.mtx"))
mpQmin = mmread(join(DATA_DIR, self.case_name, "opf", "Qmin.mtx"))
mpQmax = mmread(join(DATA_DIR, self.case_name, "opf", "Qmax.mtx"))
self.assertTrue(mfeq1(Qg.v0, mpQg0.flatten()), msg)
self.assertTrue(mfeq1(Qg.vl, mpQmin.flatten()), msg)
# self.assertTrue(mfeq1(Qg.vu, mpQmax.flatten()), msg)
self.assertTrue(mfeq1(Qg.vu, mpQmax.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 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 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 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 testPQ(self):
# """ Test generator PQ capability curve constraints.
# """
## Apqh = mmread(join(DATA_DIR, self.case_name, "opf", "Apqh.mtx"))
## ubpqh = mmread(join(DATA_DIR, self.case_name, "opf", "ubpqh.mtx"))
## Apql = mmread(join(DATA_DIR, self.case_name, "opf", "Apql.mtx"))
## ubpql = mmread(join(DATA_DIR, self.case_name, "opf", "ubpql.mtx"))
# self.fail("Generator PQ capability curve constraints not implemented.")
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)
class DCOPFSolverTest(unittest.TestCase):
""" Defines a test case for the DC OPF solver.
"""
def __init__(self, methodName='runTest'):
super(DCOPFSolverTest, self).__init__(methodName)
self.case_name = "case6ww"
self.case = None
self.opf = None
self.om = None
self.solver = None
def setUp(self):
""" The test runner will execute this method prior to each test.
"""
self.case = Case.load(join(DATA_DIR, self.case_name,
self.case_name + ".pkl"))
self.case.sort_generators() # ext2int
self.opf = OPF(self.case, dc=True)
self.om = self.opf._construct_opf_model(self.case)
self.solver = DCOPFSolver(self.om)
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 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_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_DC.mtx"))
self.assertTrue(mfeq1(x0, mpx0.flatten(), 1e-9), self.case_name)
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_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)
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 test_integrate_solution(self):
""" Test integration of DC OPF solution.
"""
self.solver.solve()
bus = mmread(join(DATA_DIR, self.case_name, "opf", "Bus_DC.mtx"))
gen = mmread(join(DATA_DIR, self.case_name, "opf", "Gen_DC.mtx"))
branch = mmread(join(DATA_DIR, self.case_name, "opf", "Branch_DC.mtx"))
pl = 2
# bus_i type Pd Qd Gs Bs area Vm Va baseKV zone Vmax Vmin lam_P lam_Q mu_Vmax mu_Vmin
for i, bs in enumerate(self.case.buses):
self.assertAlmostEqual(bs.v_magnitude, bus[i, 7], pl) # Vm
self.assertAlmostEqual(bs.v_angle, bus[i, 8], pl) # Va
self.assertAlmostEqual(bs.p_lmbda, bus[i, 13], pl) # lam_P
self.assertAlmostEqual(bs.q_lmbda, bus[i, 14], pl) # lam_Q
self.assertAlmostEqual(bs.mu_vmax, bus[i, 15], pl) # mu_Vmax
self.assertAlmostEqual(bs.mu_vmin, bus[i, 16], pl) # mu_Vmin
# bus Pg Qg Qmax Qmin Vg mBase status Pmax Pmin Pc1 Pc2 Qc1min Qc1max
# Qc2min Qc2max ramp_agc ramp_10 ramp_30 ramp_q apf mu_Pmax mu_Pmin
# mu_Qmax mu_Qmin
for i, gn in enumerate(self.case.generators):
self.assertAlmostEqual(gn.p, gen[i, 1], pl) # Pg
self.assertAlmostEqual(gn.q, gen[i, 2], pl) # Qg
self.assertAlmostEqual(gn.v_magnitude, gen[i, 5], pl) # Vg
self.assertAlmostEqual(gn.mu_pmax, gen[i, 21], pl) # mu_Pmax
self.assertAlmostEqual(gn.mu_pmin, gen[i, 22], pl) # mu_Pmin
self.assertAlmostEqual(gn.mu_qmax, gen[i, 23], pl) # mu_Qmax
self.assertAlmostEqual(gn.mu_qmin, gen[i, 24], pl) # mu_Qmin
# fbus tbus r x b rateA rateB rateC ratio angle status angmin angmax
# Pf Qf Pt Qt mu_Sf mu_St mu_angmin mu_angmax
for i, ln in enumerate(self.case.branches):
self.assertAlmostEqual(ln.p_from, branch[i, 13], pl) # Pf
self.assertAlmostEqual(ln.q_from, branch[i, 14], pl) # Qf
self.assertAlmostEqual(ln.p_to, branch[i, 15], pl) # Pt
self.assertAlmostEqual(ln.q_to, branch[i, 16], pl) # Qt
self.assertAlmostEqual(ln.mu_s_from, branch[i, 17], pl) # mu_Sf
self.assertAlmostEqual(ln.mu_s_to, branch[i, 18], pl) # mu_St
self.assertAlmostEqual(ln.mu_angmin, branch[i, 19], pl) # mu_angmin
self.assertAlmostEqual(ln.mu_angmax, branch[i, 20], pl) # mu_angmax