REAL BUS_get_total_shunt_b(Bus* bus, int t) {
Shunt* shunt;
REAL b = 0;
if (!bus || t < 0 || t >= bus->num_periods)
return 0;
for (shunt = bus->shunt; shunt != NULL; shunt = SHUNT_get_next(shunt))
b += SHUNT_get_b(shunt,t);
return b;
}
REAL BUS_get_total_shunt_g(Bus* bus) {
Shunt* shunt;
REAL g = 0;
if (!bus)
return 0;
for (shunt = bus->shunt; shunt != NULL; shunt = SHUNT_get_next(shunt))
g += SHUNT_get_g(shunt);
return g;
}
void CONSTR_FIX_count_step(Constr* c, Branch* br, int t) {
// Local variables
Bus* buses[2];
Bus* bus;
Gen* gen;
Vargen* vargen;
Shunt* shunt;
Load* load;
Bat* bat;
int* A_nnz;
int* A_row;
char* bus_counted;
int i;
int T;
// Number of periods
T = BRANCH_get_num_periods(br);
// Constr data
A_nnz = CONSTR_get_A_nnz_ptr(c);
A_row = CONSTR_get_A_row_ptr(c);
bus_counted = CONSTR_get_bus_counted(c);
// Check pointers
if (!A_nnz || !A_row || !bus_counted)
return;
// Check outage
if (BRANCH_is_on_outage(br))
return;
// Bus data
buses[0] = BRANCH_get_bus_k(br);
buses[1] = BRANCH_get_bus_m(br);
// Tap ratio
if (BRANCH_has_flags(br,FLAG_FIXED,BRANCH_VAR_RATIO) &&
BRANCH_has_flags(br,FLAG_VARS,BRANCH_VAR_RATIO)) {
(*A_nnz)++;
(*A_row)++;
}
// Phase shift
if (BRANCH_has_flags(br,FLAG_FIXED,BRANCH_VAR_PHASE) &&
BRANCH_has_flags(br,FLAG_VARS,BRANCH_VAR_PHASE)) {
(*A_nnz)++;
(*A_row)++;
}
// Buses
for (i = 0; i < 2; i++) {
bus = buses[i];
if (!bus_counted[BUS_get_index(bus)*T+t]) {
// Voltage magnitude (V_MAG)
if (BUS_has_flags(bus,FLAG_FIXED,BUS_VAR_VMAG) &&
BUS_has_flags(bus,FLAG_VARS,BUS_VAR_VMAG)) {
(*A_nnz)++;
// Extra nz for regulating generator (for PV-PQ switching?)
if (BUS_is_regulated_by_gen(bus) &&
GEN_has_flags(BUS_get_reg_gen(bus),FLAG_VARS,GEN_VAR_Q))
(*A_nnz)++;
(*A_row)++;
}
// Voltage angle (V_ANG)
if (BUS_has_flags(bus,FLAG_FIXED,BUS_VAR_VANG) &&
BUS_has_flags(bus,FLAG_VARS,BUS_VAR_VANG)) {
(*A_nnz)++;
(*A_row)++;
}
// Generators
for (gen = BUS_get_gen(bus); gen != NULL; gen = GEN_get_next(gen)) {
// Active power (P)
if (GEN_has_flags(gen,FLAG_FIXED,GEN_VAR_P) &&
GEN_has_flags(gen,FLAG_VARS,GEN_VAR_P)) {
(*A_nnz)++;
(*A_row)++;
}
// Reactive power (Q)
if (GEN_has_flags(gen,FLAG_FIXED,GEN_VAR_Q) &&
GEN_has_flags(gen,FLAG_VARS,GEN_VAR_Q)) {
(*A_nnz)++;
(*A_row)++;
}
}
// Variable generators
for (vargen = BUS_get_vargen(bus); vargen != NULL; vargen = VARGEN_get_next(vargen)) {
// Active power (P)
if (VARGEN_has_flags(vargen,FLAG_FIXED,VARGEN_VAR_P) &&
VARGEN_has_flags(vargen,FLAG_VARS,VARGEN_VAR_P)) {
(*A_nnz)++;
(*A_row)++;
}
// Reactive power (Q)
if (VARGEN_has_flags(vargen,FLAG_FIXED,VARGEN_VAR_Q) &&
VARGEN_has_flags(vargen,FLAG_VARS,VARGEN_VAR_Q)) {
(*A_nnz)++;
(*A_row)++;
}
}
// Shunts
for (shunt = BUS_get_shunt(bus); shunt != NULL; shunt = SHUNT_get_next(shunt)) {
// Susceptance (b)
if (SHUNT_has_flags(shunt,FLAG_FIXED,SHUNT_VAR_SUSC) &&
SHUNT_has_flags(shunt,FLAG_VARS,SHUNT_VAR_SUSC)) {
(*A_nnz)++;
(*A_row)++;
}
}
// Batteries
for (bat = BUS_get_bat(bus); bat != NULL; bat = BAT_get_next(bat)) {
// Charging/discharging power (P)
if (BAT_has_flags(bat,FLAG_FIXED,BAT_VAR_P) &&
BAT_has_flags(bat,FLAG_VARS,BAT_VAR_P)) {
(*A_nnz) += 2;
(*A_row) += 2;
}
// Energy level (E)
if (BAT_has_flags(bat,FLAG_FIXED,BAT_VAR_E) &&
BAT_has_flags(bat,FLAG_VARS,BAT_VAR_E)) {
(*A_nnz)++;
(*A_row)++;
}
}
// Loads
for (load = BUS_get_load(bus); load != NULL; load = LOAD_get_next(load)) {
// Active power (P)
if (LOAD_has_flags(load,FLAG_FIXED,LOAD_VAR_P) &&
LOAD_has_flags(load,FLAG_VARS,LOAD_VAR_P)) {
(*A_nnz)++;
(*A_row)++;
}
}
}
// Update counted flag
bus_counted[BUS_get_index(bus)*T+t] = TRUE;
}
}
void CONSTR_FIX_analyze_step(Constr* c, Branch* br, int t) {
// Local variables
Bus* buses[2];
Bus* bus;
Gen* gen;
Vargen* vargen;
Bat* bat;
Load* load;
Shunt* shunt;
int* A_nnz;
int* A_row;
char* bus_counted;
Vec* b;
Mat* A;
int i;
REAL Pc;
REAL Pd;
int T;
// Number of periods
T = BRANCH_get_num_periods(br);
// Cosntr data
b = CONSTR_get_b(c);
A = CONSTR_get_A(c);
A_nnz = CONSTR_get_A_nnz_ptr(c);
A_row = CONSTR_get_A_row_ptr(c);
bus_counted = CONSTR_get_bus_counted(c);
// Check pointers
if (!A_nnz || !A_row || !bus_counted)
return;
// Check outage
if (BRANCH_is_on_outage(br))
return;
// Bus data
buses[0] = BRANCH_get_bus_k(br);
buses[1] = BRANCH_get_bus_m(br);
// Tap ratio
if (BRANCH_has_flags(br,FLAG_FIXED,BRANCH_VAR_RATIO) &&
BRANCH_has_flags(br,FLAG_VARS,BRANCH_VAR_RATIO)) {
VEC_set(b,*A_row,BRANCH_get_ratio(br,t));
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,BRANCH_get_index_ratio(br,t));
MAT_set_d(A,*A_nnz,1.);
(*A_nnz)++;
(*A_row)++;
}
// Phase shift
if (BRANCH_has_flags(br,FLAG_FIXED,BRANCH_VAR_PHASE) &&
BRANCH_has_flags(br,FLAG_VARS,BRANCH_VAR_PHASE)) {
VEC_set(b,*A_row,BRANCH_get_phase(br,t));
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,BRANCH_get_index_phase(br,t));
MAT_set_d(A,*A_nnz,1.);
(*A_nnz)++;
(*A_row)++;
}
// Buses
for (i = 0; i < 2; i++) {
bus = buses[i];
if (!bus_counted[BUS_get_index(bus)*T+t]) {
// Voltage magnitude (V_MAG)
if (BUS_has_flags(bus,FLAG_FIXED,BUS_VAR_VMAG) &&
BUS_has_flags(bus,FLAG_VARS,BUS_VAR_VMAG)) {
if (BUS_is_regulated_by_gen(bus))
VEC_set(b,*A_row,BUS_get_v_set(bus,t));
else
VEC_set(b,*A_row,BUS_get_v_mag(bus,t));
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,BUS_get_index_v_mag(bus,t));
MAT_set_d(A,*A_nnz,1.);
(*A_nnz)++;
// Extra nz for regulating generator (for PV-PQ switching?)
if (BUS_is_regulated_by_gen(bus) &&
GEN_has_flags(BUS_get_reg_gen(bus),FLAG_VARS,GEN_VAR_Q)) {
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,GEN_get_index_Q(BUS_get_reg_gen(bus),t));
MAT_set_d(A,*A_nnz,0.); // placeholder
(*A_nnz)++;
}
(*A_row)++;
}
// Voltage angle (V_ANG)
if (BUS_has_flags(bus,FLAG_FIXED,BUS_VAR_VANG) &&
BUS_has_flags(bus,FLAG_VARS,BUS_VAR_VANG)) {
VEC_set(b,*A_row,BUS_get_v_ang(bus,t));
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,BUS_get_index_v_ang(bus,t));
MAT_set_d(A,*A_nnz,1.);
(*A_nnz)++;
(*A_row)++;
}
// Generators
for (gen = BUS_get_gen(bus); gen != NULL; gen = GEN_get_next(gen)) {
// Active power (P)
if (GEN_has_flags(gen,FLAG_FIXED,GEN_VAR_P) &&
GEN_has_flags(gen,FLAG_VARS,GEN_VAR_P)) {
VEC_set(b,*A_row,GEN_get_P(gen,t));
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,GEN_get_index_P(gen,t));
MAT_set_d(A,*A_nnz,1.);
(*A_nnz)++;
(*A_row)++;
}
// Reactive power (Q)
if (GEN_has_flags(gen,FLAG_FIXED,GEN_VAR_Q) &&
GEN_has_flags(gen,FLAG_VARS,GEN_VAR_Q)) {
VEC_set(b,*A_row,GEN_get_Q(gen,t));
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,GEN_get_index_Q(gen,t));
MAT_set_d(A,*A_nnz,1.);
(*A_nnz)++;
(*A_row)++;
}
}
// Variable generators
for (vargen = BUS_get_vargen(bus); vargen != NULL; vargen = VARGEN_get_next(vargen)) {
// Active power (P)
if (VARGEN_has_flags(vargen,FLAG_FIXED,VARGEN_VAR_P) &&
VARGEN_has_flags(vargen,FLAG_VARS,VARGEN_VAR_P)) {
VEC_set(b,*A_row,VARGEN_get_P(vargen,t));
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,VARGEN_get_index_P(vargen,t));
MAT_set_d(A,*A_nnz,1.);
(*A_nnz)++;
(*A_row)++;
}
// Reactive power (Q)
if (VARGEN_has_flags(vargen,FLAG_FIXED,VARGEN_VAR_Q) &&
VARGEN_has_flags(vargen,FLAG_VARS,VARGEN_VAR_Q)) {
VEC_set(b,*A_row,VARGEN_get_Q(vargen,t));
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,VARGEN_get_index_Q(vargen,t));
MAT_set_d(A,*A_nnz,1.);
(*A_nnz)++;
(*A_row)++;
}
}
// Shunts
for (shunt = BUS_get_shunt(bus); shunt != NULL; shunt = SHUNT_get_next(shunt)) {
// Susceptance (b)
if (SHUNT_has_flags(shunt,FLAG_FIXED,SHUNT_VAR_SUSC) &&
SHUNT_has_flags(shunt,FLAG_VARS,SHUNT_VAR_SUSC)) {
VEC_set(b,*A_row,SHUNT_get_b(shunt,t));
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,SHUNT_get_index_b(shunt,t));
MAT_set_d(A,*A_nnz,1.);
(*A_nnz)++;
(*A_row)++;
}
}
// Batteries
for (bat = BUS_get_bat(bus); bat != NULL; bat = BAT_get_next(bat)) {
// Charging/discharging power (P)
if (BAT_has_flags(bat,FLAG_FIXED,BAT_VAR_P) &&
BAT_has_flags(bat,FLAG_VARS,BAT_VAR_P)) {
if (BAT_get_P(bat,t) >= 0) {
Pc = BAT_get_P(bat,t);
Pd = 0.;
}
else {
Pc = 0.;
Pd = -BAT_get_P(bat,t);
}
// Pc
VEC_set(b,*A_row,Pc);
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,BAT_get_index_Pc(bat,t));
MAT_set_d(A,*A_nnz,1.);
(*A_nnz)++;
(*A_row)++;
// Pd
VEC_set(b,*A_row,Pd);
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,BAT_get_index_Pd(bat,t));
MAT_set_d(A,*A_nnz,1.);
(*A_nnz)++;
(*A_row)++;
}
// Energy level (E)
if (BAT_has_flags(bat,FLAG_FIXED,BAT_VAR_E) &&
BAT_has_flags(bat,FLAG_VARS,BAT_VAR_E)) {
VEC_set(b,*A_row,BAT_get_E(bat,t));
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,BAT_get_index_E(bat,t));
MAT_set_d(A,*A_nnz,1.);
(*A_nnz)++;
(*A_row)++;
}
}
// Loads
for (load = BUS_get_load(bus); load != NULL; load = LOAD_get_next(load)) {
// Active power (P)
if (LOAD_has_flags(load,FLAG_FIXED,LOAD_VAR_P) &&
LOAD_has_flags(load,FLAG_VARS,LOAD_VAR_P)) {
VEC_set(b,*A_row,LOAD_get_P(load,t));
MAT_set_i(A,*A_nnz,*A_row);
MAT_set_j(A,*A_nnz,LOAD_get_index_P(load,t));
MAT_set_d(A,*A_nnz,1.);
(*A_nnz)++;
(*A_row)++;
}
}
}
// Update counted flag
bus_counted[BUS_get_index(bus)*T+t] = TRUE;
}
}
void CONSTR_BOUND_store_sens_step(Constr* c, Branch* br, int t, Vec* sA, Vec* sf, Vec* sGu, Vec* sGl) {
// Local variables
Bus* buses[2];
Bus* bus;
Gen* gen;
Shunt* shunt;
int* Jcounter;
char* bus_counted;
int bus_index_t[2];
int k;
int T;
// Number of periods
T = BRANCH_get_num_periods(br);
// Constr data
Jcounter = CONSTR_get_Jcounter_ptr(c);
bus_counted = CONSTR_get_bus_counted(c);
// Check pointers
if (!Jcounter || !bus_counted)
return;
// Check outage
if (BRANCH_is_on_outage(br))
return;
// Bus data
buses[0] = BRANCH_get_bus_from(br);
buses[1] = BRANCH_get_bus_to(br);
for (k = 0; k < 2; k++)
bus_index_t[k] = BUS_get_index(buses[k])*T+t;
// Tap ratio
if (BRANCH_has_flags(br,FLAG_BOUNDED,BRANCH_VAR_RATIO) &&
BRANCH_has_flags(br,FLAG_VARS,BRANCH_VAR_RATIO)) {
(*Jcounter)++; // upper bound
(*Jcounter)++; // lower bound
}
// Phase shift
if (BRANCH_has_flags(br,FLAG_BOUNDED,BRANCH_VAR_PHASE) &&
BRANCH_has_flags(br,FLAG_VARS,BRANCH_VAR_PHASE)) {
(*Jcounter)++; // upper bound
(*Jcounter)++; // lower bound
}
// Buses
for (k = 0; k < 2; k++) {
bus = buses[k];
if (!bus_counted[bus_index_t[k]]) { // not counted yet
// Voltage magnitude (V_MAG)
if (BUS_has_flags(bus,FLAG_BOUNDED,BUS_VAR_VMAG) &&
BUS_has_flags(bus,FLAG_VARS,BUS_VAR_VMAG)) {
BUS_set_sens_v_mag_u_bound(bus,VEC_get(sf,*Jcounter),t);
(*Jcounter)++; // upper bound
BUS_set_sens_v_mag_l_bound(bus,VEC_get(sf,*Jcounter),t);
(*Jcounter)++; // lower bound
}
// Volage angle (V_ANG)
if (BUS_has_flags(bus,FLAG_BOUNDED,BUS_VAR_VANG) &&
BUS_has_flags(bus,FLAG_VARS,BUS_VAR_VANG)) {
(*Jcounter)++; // upper bound
(*Jcounter)++; // lower bound
}
// Generators
for (gen = BUS_get_gen(bus); gen != NULL; gen = GEN_get_next(gen)) {
// Active power (P)
if (GEN_has_flags(gen,FLAG_BOUNDED,GEN_VAR_P) &&
GEN_has_flags(gen,FLAG_VARS,GEN_VAR_P)) {
(*Jcounter)++; // upper bound
(*Jcounter)++; // lower bound
}
// Reactive power (Q)
if (GEN_has_flags(gen,FLAG_BOUNDED,GEN_VAR_Q) &&
GEN_has_flags(gen,FLAG_VARS,GEN_VAR_Q)) {
(*Jcounter)++; // upper bound
(*Jcounter)++; // lower bound
}
}
// Shunts
for (shunt = BUS_get_shunt(bus); shunt != NULL; shunt = SHUNT_get_next(shunt)) {
// Susceptance
if (SHUNT_has_flags(shunt,FLAG_BOUNDED,SHUNT_VAR_SUSC) &&
SHUNT_has_flags(shunt,FLAG_VARS,SHUNT_VAR_SUSC)) {
(*Jcounter)++; // upper bound
(*Jcounter)++; // lower bound
}
}
}
// Update counted flag
bus_counted[bus_index_t[k]] = TRUE;
}
}
void CONSTR_BOUND_eval_step(Constr* c, Branch* br, int t, Vec* var_values) {
// Local variables
Bus* buses[2];
Bus* bus;
Gen* gen;
Shunt* shunt;
Mat* H_array;
REAL* f;
REAL* J;
Mat* H;
int* Jcounter;
char* bus_counted;
int bus_index_t[2];
int k;
REAL u;
REAL umin;
REAL umax;
REAL du;
REAL a1;
REAL a2;
REAL b;
REAL eps;
REAL sqrterm1;
REAL sqrterm2;
int T;
// Number of periods
T = BRANCH_get_num_periods(br);
// Constr data
f = VEC_get_data(CONSTR_get_f(c));
J = MAT_get_data_array(CONSTR_get_J(c));
H_array = CONSTR_get_H_array(c);
Jcounter = CONSTR_get_Jcounter_ptr(c);
bus_counted = CONSTR_get_bus_counted(c);
// Check pointers
if (!f || !J || !Jcounter || !bus_counted)
return;
// Check outage
if (BRANCH_is_on_outage(br))
return;
// Param
eps = CONSTR_BOUND_PARAM;
// Bus data
buses[0] = BRANCH_get_bus_from(br);
buses[1] = BRANCH_get_bus_to(br);
for (k = 0; k < 2; k++)
bus_index_t[k] = BUS_get_index(buses[k])*T+t;
// Branch
//*******
// Tap ratio
if (BRANCH_has_flags(br,FLAG_BOUNDED,BRANCH_VAR_RATIO) &&
BRANCH_has_flags(br,FLAG_VARS,BRANCH_VAR_RATIO)) {
u = VEC_get(var_values,BRANCH_get_index_ratio(br,t));
umax = BRANCH_get_ratio_max(br);
umin = BRANCH_get_ratio_min(br);
du = (umax-umin > eps) ? umax-umin : eps;
a1 = umax-u;
a2 = u-umin;
b = eps*eps/du;
sqrterm1 = sqrt(a1*a1+b*b+eps*eps);
sqrterm2 = sqrt(a2*a2+b*b+eps*eps);
// f
f[*Jcounter] = a1 + b - sqrterm1; // upper
f[*Jcounter+1] = a2 + b - sqrterm2; // lower
// J
J[*Jcounter] = -(1-a1/sqrterm1);
J[*Jcounter+1] = (1-a2/sqrterm2);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm1*sqrterm1*sqrterm1));
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm2*sqrterm2*sqrterm2));
(*Jcounter)++;
(*Jcounter)++;
}
// Phase shift
if (BRANCH_has_flags(br,FLAG_BOUNDED,BRANCH_VAR_PHASE) &&
BRANCH_has_flags(br,FLAG_VARS,BRANCH_VAR_PHASE)) {
u = VEC_get(var_values,BRANCH_get_index_phase(br,t));
umax = BRANCH_get_phase_max(br);
umin = BRANCH_get_phase_min(br);
du = (umax-umin > eps) ? umax-umin : eps;
a1 = umax-u;
a2 = u-umin;
b = eps*eps/du;
sqrterm1 = sqrt(a1*a1+b*b+eps*eps);
sqrterm2 = sqrt(a2*a2+b*b+eps*eps);
// f
f[*Jcounter] = a1 + b - sqrterm1; // upper
f[*Jcounter+1] = a2 + b - sqrterm2; // lower
// J
J[*Jcounter] = -(1-a1/sqrterm1);
J[*Jcounter+1] = (1-a2/sqrterm2);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm1*sqrterm1*sqrterm1));
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm2*sqrterm2*sqrterm2));
(*Jcounter)++;
(*Jcounter)++;
}
// Buses
//******
for (k = 0; k < 2; k++) {
bus = buses[k];
if (!bus_counted[bus_index_t[k]]) { // not counted yet
// Voltage magnitude (V_MAG)
if (BUS_has_flags(bus,FLAG_BOUNDED,BUS_VAR_VMAG) &&
BUS_has_flags(bus,FLAG_VARS,BUS_VAR_VMAG)) {
u = VEC_get(var_values,BUS_get_index_v_mag(bus,t));
umax = BUS_get_v_max(bus);
umin = BUS_get_v_min(bus);
du = (umax-umin > eps) ? umax-umin : eps;
a1 = umax-u;
a2 = u-umin;
b = eps*eps/du;
sqrterm1 = sqrt(a1*a1+b*b+eps*eps);
sqrterm2 = sqrt(a2*a2+b*b+eps*eps);
// f
f[*Jcounter] = a1 + b - sqrterm1; // upper
f[*Jcounter+1] = a2 + b - sqrterm2; // lower
// J
J[*Jcounter] = -(1-a1/sqrterm1);
J[*Jcounter+1] = (1-a2/sqrterm2);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm1*sqrterm1*sqrterm1));
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm2*sqrterm2*sqrterm2));
(*Jcounter)++;
(*Jcounter)++;
}
// Volage angle (V_ANG)
if (BUS_has_flags(bus,FLAG_BOUNDED,BUS_VAR_VANG) &&
BUS_has_flags(bus,FLAG_VARS,BUS_VAR_VANG)) {
u = VEC_get(var_values,BUS_get_index_v_ang(bus,t));
umax = 2*PI;
umin = -2*PI;
du = (umax-umin > eps) ? umax-umin : eps;
a1 = umax-u;
a2 = u-umin;
b = eps*eps/du;
sqrterm1 = sqrt(a1*a1+b*b+eps*eps);
sqrterm2 = sqrt(a2*a2+b*b+eps*eps);
// f
f[*Jcounter] = a1 + b - sqrterm1; // upper
f[*Jcounter+1] = a2 + b - sqrterm2; // lower
// J
J[*Jcounter] = -(1-a1/sqrterm1);
J[*Jcounter+1] = (1-a2/sqrterm2);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm1*sqrterm1*sqrterm1));
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm2*sqrterm2*sqrterm2));
(*Jcounter)++;
(*Jcounter)++;
}
// Generators
for (gen = BUS_get_gen(bus); gen != NULL; gen = GEN_get_next(gen)) {
// Active power (P)
if (GEN_has_flags(gen,FLAG_BOUNDED,GEN_VAR_P) &&
GEN_has_flags(gen,FLAG_VARS,GEN_VAR_P)) {
u = VEC_get(var_values,GEN_get_index_P(gen,t));
umax = GEN_get_P_max(gen);
umin = GEN_get_P_min(gen);
du = (umax-umin > eps) ? umax-umin : eps;
a1 = umax-u;
a2 = u-umin;
b = eps*eps/du;
sqrterm1 = sqrt(a1*a1+b*b+eps*eps);
sqrterm2 = sqrt(a2*a2+b*b+eps*eps);
// f
f[*Jcounter] = a1 + b - sqrterm1; // upper
f[*Jcounter+1] = a2 + b - sqrterm2; // lower
// J
J[*Jcounter] = -(1-a1/sqrterm1);
J[*Jcounter+1] = (1-a2/sqrterm2);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm1*sqrterm1*sqrterm1));
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm2*sqrterm2*sqrterm2));
(*Jcounter)++;
(*Jcounter)++;
}
// Reactive power (Q)
if (GEN_has_flags(gen,FLAG_BOUNDED,GEN_VAR_Q) &&
GEN_has_flags(gen,FLAG_VARS,GEN_VAR_Q)) {
u = VEC_get(var_values,GEN_get_index_Q(gen,t));
umax = GEN_get_Q_max(gen);
umin = GEN_get_Q_min(gen);
du = (umax-umin > eps) ? umax-umin : eps;
a1 = umax-u;
a2 = u-umin;
b = eps*eps/du;
sqrterm1 = sqrt(a1*a1+b*b+eps*eps);
sqrterm2 = sqrt(a2*a2+b*b+eps*eps);
// f
f[*Jcounter] = a1 + b - sqrterm1; // upper
f[*Jcounter+1] = a2 + b - sqrterm2; // lower
// J
J[*Jcounter] = -(1-a1/sqrterm1);
J[*Jcounter+1] = (1-a2/sqrterm2);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm1*sqrterm1*sqrterm1));
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm2*sqrterm2*sqrterm2));
(*Jcounter)++;
(*Jcounter)++;
}
}
// Shunts
for (shunt = BUS_get_shunt(bus); shunt != NULL; shunt = SHUNT_get_next(shunt)) {
// Susceptance
if (SHUNT_has_flags(shunt,FLAG_BOUNDED,SHUNT_VAR_SUSC) &&
SHUNT_has_flags(shunt,FLAG_VARS,SHUNT_VAR_SUSC)) {
u = VEC_get(var_values,SHUNT_get_index_b(shunt,t));
umax = SHUNT_get_b_max(shunt);
umin = SHUNT_get_b_min(shunt);
du = (umax-umin > eps) ? umax-umin : eps;
a1 = umax-u;
a2 = u-umin;
b = eps*eps/du;
sqrterm1 = sqrt(a1*a1+b*b+eps*eps);
sqrterm2 = sqrt(a2*a2+b*b+eps*eps);
// f
f[*Jcounter] = a1 + b - sqrterm1; // upper
f[*Jcounter+1] = a2 + b - sqrterm2; // lower
// J
J[*Jcounter] = -(1-a1/sqrterm1);
J[*Jcounter+1] = (1-a2/sqrterm2);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm1*sqrterm1*sqrterm1));
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_d(H,0,-(b*b+eps*eps)/(sqrterm2*sqrterm2*sqrterm2));
(*Jcounter)++;
(*Jcounter)++;
}
}
}
// Update counted flag
bus_counted[bus_index_t[k]] = TRUE;
}
}
void CONSTR_BOUND_analyze_step(Constr* c, Branch* br, int t) {
// Local variables
Bus* buses[2];
Bus* bus;
Gen* gen;
Shunt* shunt;
Mat* J;
Mat* H_array;
Mat* H;
int* Hi;
int* Hj;
int* Hi_comb;
int* Hj_comb;
int* Jcounter;
char* bus_counted;
int bus_index_t[2];
int index_var;
int k;
int T;
// Number of periods
T = BRANCH_get_num_periods(br);
// Constr data
J = CONSTR_get_J(c);
H_array = CONSTR_get_H_array(c);
Jcounter = CONSTR_get_Jcounter_ptr(c);
bus_counted = CONSTR_get_bus_counted(c);
// Check pointers
if (!Jcounter || !bus_counted)
return;
// Check outage
if (BRANCH_is_on_outage(br))
return;
// Bus data
buses[0] = BRANCH_get_bus_from(br);
buses[1] = BRANCH_get_bus_to(br);
for (k = 0; k < 2; k++)
bus_index_t[k] = BUS_get_index(buses[k])*T+t;
// Branch
//*******
// Tap ratio
if (BRANCH_has_flags(br,FLAG_BOUNDED,BRANCH_VAR_RATIO) &&
BRANCH_has_flags(br,FLAG_VARS,BRANCH_VAR_RATIO)) {
index_var = BRANCH_get_index_ratio(br,t);
// J
MAT_set_i(J,*Jcounter,*Jcounter);
MAT_set_j(J,*Jcounter,index_var);
MAT_set_i(J,*Jcounter+1,*Jcounter+1);
MAT_set_j(J,*Jcounter+1,index_var);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
(*Jcounter)++;
(*Jcounter)++;
}
// Phase shift
if (BRANCH_has_flags(br,FLAG_BOUNDED,BRANCH_VAR_PHASE) &&
BRANCH_has_flags(br,FLAG_VARS,BRANCH_VAR_PHASE)) {
index_var = BRANCH_get_index_phase(br,t);
// J
MAT_set_i(J,*Jcounter,*Jcounter);
MAT_set_j(J,*Jcounter,index_var);
MAT_set_i(J,*Jcounter+1,*Jcounter+1);
MAT_set_j(J,*Jcounter+1,index_var);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
(*Jcounter)++;
(*Jcounter)++;
}
// Buses
//******
for (k = 0; k < 2; k++) {
bus = buses[k];
if (!bus_counted[bus_index_t[k]]) { // not counted yet
// Voltage magnitude (V_MAG)
if (BUS_has_flags(bus,FLAG_BOUNDED,BUS_VAR_VMAG) && BUS_has_flags(bus,FLAG_VARS,BUS_VAR_VMAG)) {
index_var = BUS_get_index_v_mag(bus,t);
// J
MAT_set_i(J,*Jcounter,*Jcounter);
MAT_set_j(J,*Jcounter,index_var);
MAT_set_i(J,*Jcounter+1,*Jcounter+1);
MAT_set_j(J,*Jcounter+1,index_var);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
(*Jcounter)++;
(*Jcounter)++;
}
// Volage angle (V_ANG)
if (BUS_has_flags(bus,FLAG_BOUNDED,BUS_VAR_VANG) && BUS_has_flags(bus,FLAG_VARS,BUS_VAR_VANG)) {
index_var = BUS_get_index_v_ang(bus,t);
// J
MAT_set_i(J,*Jcounter,*Jcounter);
MAT_set_j(J,*Jcounter,index_var);
MAT_set_i(J,*Jcounter+1,*Jcounter+1);
MAT_set_j(J,*Jcounter+1,index_var);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
(*Jcounter)++;
(*Jcounter)++;
}
// Generators
for (gen = BUS_get_gen(bus); gen != NULL; gen = GEN_get_next(gen)) {
// Active power (P)
if (GEN_has_flags(gen,FLAG_BOUNDED,GEN_VAR_P) &&
GEN_has_flags(gen,FLAG_VARS,GEN_VAR_P)) {
index_var = GEN_get_index_P(gen,t);
// J
MAT_set_i(J,*Jcounter,*Jcounter);
MAT_set_j(J,*Jcounter,index_var);
MAT_set_i(J,*Jcounter+1,*Jcounter+1);
MAT_set_j(J,*Jcounter+1,index_var);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
(*Jcounter)++;
(*Jcounter)++;
}
// Reactive power (Q)
if (GEN_has_flags(gen,FLAG_BOUNDED,GEN_VAR_Q) &&
GEN_has_flags(gen,FLAG_VARS,GEN_VAR_Q)) {
index_var = GEN_get_index_Q(gen,t);
// J
MAT_set_i(J,*Jcounter,*Jcounter);
MAT_set_j(J,*Jcounter,index_var);
MAT_set_i(J,*Jcounter+1,*Jcounter+1);
MAT_set_j(J,*Jcounter+1,index_var);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
(*Jcounter)++;
(*Jcounter)++;
}
}
// Shunts
for (shunt = BUS_get_shunt(bus); shunt != NULL; shunt = SHUNT_get_next(shunt)) {
// Susceptance
if (SHUNT_has_flags(shunt,FLAG_BOUNDED,SHUNT_VAR_SUSC) &&
SHUNT_has_flags(shunt,FLAG_VARS,SHUNT_VAR_SUSC)) {
index_var = SHUNT_get_index_b(shunt,t);
// J
MAT_set_i(J,*Jcounter,*Jcounter);
MAT_set_j(J,*Jcounter,index_var);
MAT_set_i(J,*Jcounter+1,*Jcounter+1);
MAT_set_j(J,*Jcounter+1,index_var);
// H
H = MAT_array_get(H_array,*Jcounter);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
H = MAT_array_get(H_array,*Jcounter+1);
MAT_set_i(H,0,index_var);
MAT_set_j(H,0,index_var);
(*Jcounter)++;
(*Jcounter)++;
}
}
}
// Update counted flag
bus_counted[bus_index_t[k]] = TRUE;
}
// Done (last branch and period)
if ((t == T-1) && (BRANCH_get_index(br) == NET_get_num_branches(CONSTR_get_network(c))-1)) {
// Ensure lower triangular and save struct of H comb
Hi_comb = MAT_get_row_array(CONSTR_get_H_combined(c));
Hj_comb = MAT_get_col_array(CONSTR_get_H_combined(c));
for (k = 0; k < CONSTR_get_H_array_size(c); k++) {
Hi = MAT_get_row_array(MAT_array_get(H_array,k));
Hj = MAT_get_col_array(MAT_array_get(H_array,k));
Hi_comb[k] = Hi[0];
Hj_comb[k] = Hj[0];
}
}
}