def create_btheta_losses_dcopf_model(model_data, relaxation_type=RelaxationType.SOC, include_angle_diff_limits=False, include_feasibility_slack=False, pw_cost_model='delta'): md = model_data.clone_in_service() tx_utils.scale_ModelData_to_pu(md, inplace=True) gens = dict(md.elements(element_type='generator')) buses = dict(md.elements(element_type='bus')) branches = dict(md.elements(element_type='branch')) loads = dict(md.elements(element_type='load')) shunts = dict(md.elements(element_type='shunt')) gen_attrs = md.attributes(element_type='generator') bus_attrs = md.attributes(element_type='bus') branch_attrs = md.attributes(element_type='branch') load_attrs = md.attributes(element_type='load') shunt_attrs = md.attributes(element_type='shunt') inlet_branches_by_bus, outlet_branches_by_bus = \ tx_utils.inlet_outlet_branches_by_bus(branches, buses) gens_by_bus = tx_utils.gens_by_bus(buses, gens) model = pe.ConcreteModel() ### declare (and fix) the loads at the buses bus_p_loads, _ = tx_utils.dict_of_bus_loads(buses, loads) libbus.declare_var_pl(model, bus_attrs['names'], initialize=bus_p_loads) model.pl.fix() ### declare the fixed shunts at the buses _, bus_gs_fixed_shunts = tx_utils.dict_of_bus_fixed_shunts(buses, shunts) ### declare the polar voltages va_bounds = {k: (-pi, pi) for k in bus_attrs['va']} libbus.declare_var_va(model, bus_attrs['names'], initialize=tx_utils.radians_from_degrees_dict( bus_attrs['va']), bounds=va_bounds) dva_initialize = {k: 0.0 for k in branch_attrs['names']} libbranch.declare_var_dva(model, branch_attrs['names'], initialize=dva_initialize) ### include the feasibility slack for the bus balances p_rhs_kwargs = {} penalty_expr = None if include_feasibility_slack: p_marginal_slack_penalty = _validate_and_extract_slack_penalty(md) p_rhs_kwargs, penalty_expr = _include_feasibility_slack( model, bus_attrs['names'], bus_p_loads, gens_by_bus, gen_attrs, p_marginal_slack_penalty) ### fix the reference bus ref_bus = md.data['system']['reference_bus'] ref_angle = md.data['system']['reference_bus_angle'] model.va[ref_bus].fix(radians(ref_angle)) ### declare the generator real power pg_init = { k: (gen_attrs['p_min'][k] + gen_attrs['p_max'][k]) / 2.0 for k in gen_attrs['pg'] } libgen.declare_var_pg(model, gen_attrs['names'], initialize=pg_init, bounds=zip_items(gen_attrs['p_min'], gen_attrs['p_max'])) ### declare the current flows in the branches vr_init = { k: bus_attrs['vm'][k] * pe.cos(radians(bus_attrs['va'][k])) for k in bus_attrs['vm'] } vj_init = { k: bus_attrs['vm'][k] * pe.sin(radians(bus_attrs['va'][k])) for k in bus_attrs['vm'] } p_max = {k: branches[k]['rating_long_term'] for k in branches.keys()} pf_bounds = {k: (-p_max[k], p_max[k]) for k in branches.keys()} pf_init = dict() for branch_name, branch in branches.items(): from_bus = branch['from_bus'] to_bus = branch['to_bus'] y_matrix = tx_calc.calculate_y_matrix_from_branch(branch) ifr_init = tx_calc.calculate_ifr(vr_init[from_bus], vj_init[from_bus], vr_init[to_bus], vj_init[to_bus], y_matrix) ifj_init = tx_calc.calculate_ifj(vr_init[from_bus], vj_init[from_bus], vr_init[to_bus], vj_init[to_bus], y_matrix) pf_init[branch_name] = tx_calc.calculate_p(ifr_init, ifj_init, vr_init[from_bus], vj_init[from_bus]) pfl_bounds = {k: (0, p_max[k]**2) for k in branches.keys()} pfl_init = {k: 0 for k in branches.keys()} libbranch.declare_var_pf(model=model, index_set=branch_attrs['names'], initialize=pf_init, bounds=pf_bounds) libbranch.declare_var_pfl(model=model, index_set=branch_attrs['names'], initialize=pfl_init, bounds=pfl_bounds) ### declare the angle difference constraint libbranch.declare_eq_branch_dva(model=model, index_set=branch_attrs['names'], branches=branches) ### declare the branch power flow approximation constraints libbranch.declare_eq_branch_power_btheta_approx( model=model, index_set=branch_attrs['names'], branches=branches, approximation_type=ApproximationType.BTHETA_LOSSES) ### declare the branch power loss approximation constraints libbranch.declare_eq_branch_loss_btheta_approx( model=model, index_set=branch_attrs['names'], branches=branches, relaxation_type=relaxation_type) ### declare the p balance libbus.declare_eq_p_balance_dc_approx( model=model, index_set=bus_attrs['names'], bus_p_loads=bus_p_loads, gens_by_bus=gens_by_bus, bus_gs_fixed_shunts=bus_gs_fixed_shunts, inlet_branches_by_bus=inlet_branches_by_bus, outlet_branches_by_bus=outlet_branches_by_bus, approximation_type=ApproximationType.BTHETA_LOSSES, **p_rhs_kwargs) ### declare the real power flow limits libbranch.declare_ineq_p_branch_thermal_lbub( model=model, index_set=branch_attrs['names'], branches=branches, p_thermal_limits=p_max, approximation_type=ApproximationType.BTHETA) ### declare angle difference limits on interconnected buses if include_angle_diff_limits: libbranch.declare_ineq_angle_diff_branch_lbub( model=model, index_set=branch_attrs['names'], branches=branches, coordinate_type=CoordinateType.POLAR) ### declare the generator cost objective p_costs = gen_attrs['p_cost'] pw_pg_cost_gens = list( libgen.pw_gen_generator(gen_attrs['names'], costs=p_costs)) if len(pw_pg_cost_gens) > 0: if pw_cost_model == 'delta': libgen.declare_var_delta_pg(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_pg_delta_pg_con(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) else: libgen.declare_var_pg_cost(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_piecewise_pg_cost_cons(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_expression_pg_operating_cost(model=model, index_set=gen_attrs['names'], p_costs=p_costs, pw_formulation=pw_cost_model) obj_expr = sum(model.pg_operating_cost[gen_name] for gen_name in model.pg_operating_cost) if include_feasibility_slack: obj_expr += penalty_expr model.obj = pe.Objective(expr=obj_expr) return model, md
def create_ptdf_losses_dcopf_model(model_data, include_feasibility_slack=False, ptdf_options=None, pw_cost_model='delta'): ptdf_options = lpu.populate_default_ptdf_options(ptdf_options) baseMVA = model_data.data['system']['baseMVA'] lpu.check_and_scale_ptdf_options(ptdf_options, baseMVA) md = model_data.clone_in_service() tx_utils.scale_ModelData_to_pu(md, inplace=True) gens = dict(md.elements(element_type='generator')) buses = dict(md.elements(element_type='bus')) branches = dict(md.elements(element_type='branch')) loads = dict(md.elements(element_type='load')) shunts = dict(md.elements(element_type='shunt')) gen_attrs = md.attributes(element_type='generator') bus_attrs = md.attributes(element_type='bus') branch_attrs = md.attributes(element_type='branch') load_attrs = md.attributes(element_type='load') shunt_attrs = md.attributes(element_type='shunt') inlet_branches_by_bus, outlet_branches_by_bus = \ tx_utils.inlet_outlet_branches_by_bus(branches, buses) gens_by_bus = tx_utils.gens_by_bus(buses, gens) model = pe.ConcreteModel() ### declare (and fix) the loads at the buses bus_p_loads, _ = tx_utils.dict_of_bus_loads(buses, loads) libbus.declare_var_pl(model, bus_attrs['names'], initialize=bus_p_loads) model.pl.fix() ### declare the fixed shunts at the buses _, bus_gs_fixed_shunts = tx_utils.dict_of_bus_fixed_shunts(buses, shunts) ### declare the generator real power pg_init = { k: (gen_attrs['p_min'][k] + gen_attrs['p_max'][k]) / 2.0 for k in gen_attrs['pg'] } libgen.declare_var_pg(model, gen_attrs['names'], initialize=pg_init, bounds=zip_items(gen_attrs['p_min'], gen_attrs['p_max'])) ### include the feasibility slack for the system balance p_rhs_kwargs = {} if include_feasibility_slack: p_marginal_slack_penalty = _validate_and_extract_slack_penalty(md) p_rhs_kwargs, penalty_expr = _include_system_feasibility_slack( model, bus_p_loads, gen_attrs, p_marginal_slack_penalty) ### declare net withdraw expression for use in PTDF power flows libbus.declare_expr_p_net_withdraw_at_bus( model=model, index_set=bus_attrs['names'], bus_p_loads=bus_p_loads, gens_by_bus=gens_by_bus, bus_gs_fixed_shunts=bus_gs_fixed_shunts, ) ### declare the current flows in the branches p_max = {k: branches[k]['rating_long_term'] for k in branches.keys()} pfl_bounds = {k: (-p_max[k]**2, p_max[k]**2) for k in branches.keys()} pfl_init = {k: 0 for k in branches.keys()} ## Do and store PTDF calculation reference_bus = md.data['system']['reference_bus'] ## We'll assume we have a solution to initialize from base_point = BasePointType.SOLUTION PTDF = ptdf_utils.PTDFLossesMatrix(branches, buses, reference_bus, base_point, ptdf_options) model._PTDF = PTDF model._ptdf_options = ptdf_options libbranch.declare_expr_pf( model=model, index_set=branch_attrs['names'], ) libbranch.declare_var_pfl(model=model, index_set=branch_attrs['names'], initialize=pfl_init, bounds=pfl_bounds) ### declare the branch power flow approximation constraints libbranch.declare_eq_branch_power_ptdf_approx( model=model, index_set=branch_attrs['names'], PTDF=PTDF, abs_ptdf_tol=ptdf_options['abs_ptdf_tol'], rel_ptdf_tol=ptdf_options['rel_ptdf_tol'], ) ### declare the branch power loss approximation constraints libbranch.declare_eq_branch_loss_ptdf_approx( model=model, index_set=branch_attrs['names'], PTDF=PTDF, abs_ptdf_tol=ptdf_options['abs_ptdf_tol'], rel_ptdf_tol=ptdf_options['rel_ptdf_tol'], ) ### declare the p balance libbus.declare_eq_p_balance_ed(model=model, index_set=bus_attrs['names'], bus_p_loads=bus_p_loads, gens_by_bus=gens_by_bus, bus_gs_fixed_shunts=bus_gs_fixed_shunts, include_losses=branch_attrs['names'], **p_rhs_kwargs) ### declare the real power flow limits libbranch.declare_ineq_p_branch_thermal_lbub( model=model, index_set=branch_attrs['names'], branches=branches, p_thermal_limits=p_max, approximation_type=ApproximationType.PTDF) ### declare the generator cost objective p_costs = gen_attrs['p_cost'] pw_pg_cost_gens = list( libgen.pw_gen_generator(gen_attrs['names'], costs=p_costs)) if len(pw_pg_cost_gens) > 0: if pw_cost_model == 'delta': libgen.declare_var_delta_pg(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_pg_delta_pg_con(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) else: libgen.declare_var_pg_cost(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_piecewise_pg_cost_cons(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_expression_pg_operating_cost(model=model, index_set=gen_attrs['names'], p_costs=p_costs, pw_formulation=pw_cost_model) obj_expr = sum(model.pg_operating_cost[gen_name] for gen_name in model.pg_operating_cost) if include_feasibility_slack: obj_expr += penalty_expr model.obj = pe.Objective(expr=obj_expr) return model, md
def _create_base_power_ac_model(model_data, include_feasibility_slack=False, pw_cost_model='delta'): md = model_data.clone_in_service() tx_utils.scale_ModelData_to_pu(md, inplace=True) gens = dict(md.elements(element_type='generator')) buses = dict(md.elements(element_type='bus')) branches = dict(md.elements(element_type='branch')) loads = dict(md.elements(element_type='load')) shunts = dict(md.elements(element_type='shunt')) gen_attrs = md.attributes(element_type='generator') bus_attrs = md.attributes(element_type='bus') branch_attrs = md.attributes(element_type='branch') inlet_branches_by_bus, outlet_branches_by_bus = \ tx_utils.inlet_outlet_branches_by_bus(branches, buses) gens_by_bus = tx_utils.gens_by_bus(buses, gens) bus_pairs = zip_items(branch_attrs['from_bus'], branch_attrs['to_bus']) unique_bus_pairs = list(OrderedDict((val, None) for idx, val in bus_pairs.items())) model = pe.ConcreteModel() ### declare (and fix) the loads at the buses bus_p_loads, bus_q_loads = tx_utils.dict_of_bus_loads(buses, loads) libbus.declare_var_pl(model, bus_attrs['names'], initialize=bus_p_loads) libbus.declare_var_ql(model, bus_attrs['names'], initialize=bus_q_loads) model.pl.fix() model.ql.fix() ### declare the fixed shunts at the buses bus_bs_fixed_shunts, bus_gs_fixed_shunts = tx_utils.dict_of_bus_fixed_shunts(buses, shunts) libbus.declare_var_vmsq(model=model, index_set=bus_attrs['names'], initialize={k: v**2 for k, v in bus_attrs['vm'].items()}, bounds=zip_items({k: v**2 for k, v in bus_attrs['v_min'].items()}, {k: v**2 for k, v in bus_attrs['v_max'].items()})) libbranch.declare_var_c(model=model, index_set=unique_bus_pairs, initialize=1) libbranch.declare_var_s(model=model, index_set=unique_bus_pairs, initialize=0) ### include the feasibility slack for the bus balances p_rhs_kwargs = {} q_rhs_kwargs = {} if include_feasibility_slack: p_marginal_slack_penalty, q_marginal_slack_penalty = _validate_and_extract_slack_penalties(md) p_rhs_kwargs, q_rhs_kwargs, penalty_expr = _include_feasibility_slack(model, bus_attrs['names'], bus_p_loads, bus_q_loads, gens_by_bus, gen_attrs, p_marginal_slack_penalty, q_marginal_slack_penalty) ### declare the generator real and reactive power pg_init = {k: (gen_attrs['p_min'][k] + gen_attrs['p_max'][k]) / 2.0 for k in gen_attrs['pg']} libgen.declare_var_pg(model, gen_attrs['names'], initialize=pg_init, bounds=zip_items(gen_attrs['p_min'], gen_attrs['p_max']) ) qg_init = {k: (gen_attrs['q_min'][k] + gen_attrs['q_max'][k]) / 2.0 for k in gen_attrs['qg']} libgen.declare_var_qg(model, gen_attrs['names'], initialize=qg_init, bounds=zip_items(gen_attrs['q_min'], gen_attrs['q_max']) ) ### declare the current flows in the branches vr_init = {k: bus_attrs['vm'][k] * pe.cos(radians(bus_attrs['va'][k])) for k in bus_attrs['vm']} vj_init = {k: bus_attrs['vm'][k] * pe.sin(radians(bus_attrs['va'][k])) for k in bus_attrs['vm']} s_max = {k: branches[k]['rating_long_term'] for k in branches.keys()} s_lbub = dict() for k in branches.keys(): if s_max[k] is None: s_lbub[k] = (None, None) else: s_lbub[k] = (-s_max[k],s_max[k]) pf_bounds = s_lbub pt_bounds = s_lbub qf_bounds = s_lbub qt_bounds = s_lbub pf_init = dict() pt_init = dict() qf_init = dict() qt_init = dict() for branch_name, branch in branches.items(): from_bus = branch['from_bus'] to_bus = branch['to_bus'] y_matrix = tx_calc.calculate_y_matrix_from_branch(branch) ifr_init = tx_calc.calculate_ifr(vr_init[from_bus], vj_init[from_bus], vr_init[to_bus], vj_init[to_bus], y_matrix) ifj_init = tx_calc.calculate_ifj(vr_init[from_bus], vj_init[from_bus], vr_init[to_bus], vj_init[to_bus], y_matrix) itr_init = tx_calc.calculate_itr(vr_init[from_bus], vj_init[from_bus], vr_init[to_bus], vj_init[to_bus], y_matrix) itj_init = tx_calc.calculate_itj(vr_init[from_bus], vj_init[from_bus], vr_init[to_bus], vj_init[to_bus], y_matrix) pf_init[branch_name] = tx_calc.calculate_p(ifr_init, ifj_init, vr_init[from_bus], vj_init[from_bus]) pt_init[branch_name] = tx_calc.calculate_p(itr_init, itj_init, vr_init[to_bus], vj_init[to_bus]) qf_init[branch_name] = tx_calc.calculate_q(ifr_init, ifj_init, vr_init[from_bus], vj_init[from_bus]) qt_init[branch_name] = tx_calc.calculate_q(itr_init, itj_init, vr_init[to_bus], vj_init[to_bus]) libbranch.declare_var_pf(model=model, index_set=branch_attrs['names'], initialize=pf_init, bounds=pf_bounds ) libbranch.declare_var_pt(model=model, index_set=branch_attrs['names'], initialize=pt_init, bounds=pt_bounds ) libbranch.declare_var_qf(model=model, index_set=branch_attrs['names'], initialize=qf_init, bounds=qf_bounds ) libbranch.declare_var_qt(model=model, index_set=branch_attrs['names'], initialize=qt_init, bounds=qt_bounds ) ### declare the branch power flow constraints libbranch.declare_eq_branch_power(model=model, index_set=branch_attrs['names'], branches=branches ) ### declare the pq balances libbus.declare_eq_p_balance(model=model, index_set=bus_attrs['names'], bus_p_loads=bus_p_loads, gens_by_bus=gens_by_bus, bus_gs_fixed_shunts=bus_gs_fixed_shunts, inlet_branches_by_bus=inlet_branches_by_bus, outlet_branches_by_bus=outlet_branches_by_bus, **p_rhs_kwargs ) libbus.declare_eq_q_balance(model=model, index_set=bus_attrs['names'], bus_q_loads=bus_q_loads, gens_by_bus=gens_by_bus, bus_bs_fixed_shunts=bus_bs_fixed_shunts, inlet_branches_by_bus=inlet_branches_by_bus, outlet_branches_by_bus=outlet_branches_by_bus, **q_rhs_kwargs ) ### declare the thermal limits libbranch.declare_ineq_s_branch_thermal_limit(model=model, index_set=branch_attrs['names'], branches=branches, s_thermal_limits=s_max, flow_type=FlowType.POWER ) # declare angle difference limits on interconnected buses libbranch.declare_ineq_angle_diff_branch_lbub_c_s(model=model, index_set=branch_attrs['names'], branches=branches ) # declare the generator cost objective p_costs = gen_attrs['p_cost'] pw_pg_cost_gens = list(libgen.pw_gen_generator(gen_attrs['names'], costs=p_costs)) if len(pw_pg_cost_gens) > 0: if pw_cost_model == 'delta': libgen.declare_var_delta_pg(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_pg_delta_pg_con(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) else: libgen.declare_var_pg_cost(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_piecewise_pg_cost_cons(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_expression_pg_operating_cost(model=model, index_set=gen_attrs['names'], p_costs=p_costs, pw_formulation=pw_cost_model) obj_expr = sum(model.pg_operating_cost[gen_name] for gen_name in model.pg_operating_cost) q_costs = gen_attrs.get('q_cost', None) if q_costs is not None: pw_qg_cost_gens = list(libgen.pw_gen_generator(gen_attrs['names'], costs=q_costs)) if len(pw_qg_cost_gens) > 0: if pw_cost_model == 'delta': libgen.declare_var_delta_qg(model=model, index_set=pw_qg_cost_gens, q_costs=q_costs) libgen.declare_qg_delta_qg_con(model=model, index_set=pw_qg_cost_gens, q_costs=q_costs) else: libgen.declare_var_qg_cost(model=model, index_set=pw_qg_cost_gens, q_costs=q_costs) libgen.declare_piecewise_qg_cost_cons(model=model, index_set=pw_qg_cost_gens, q_costs=q_costs) libgen.declare_expression_qg_operating_cost(model=model, index_set=gen_attrs['names'], q_costs=q_costs, pw_formulation=pw_cost_model) obj_expr += sum(model.qg_operating_cost[gen_name] for gen_name in model.qg_operating_cost) if include_feasibility_slack: obj_expr += penalty_expr model.obj = pe.Objective(expr=obj_expr) return model, md
def create_scopf_model(model_data, include_feasibility_slack=False, base_point=BasePointType.FLATSTART, ptdf_options=None, pw_cost_model='delta'): ptdf_options = lpu.populate_default_ptdf_options(ptdf_options) baseMVA = model_data.data['system']['baseMVA'] lpu.check_and_scale_ptdf_options(ptdf_options, baseMVA) md = model_data.clone_in_service() tx_utils.scale_ModelData_to_pu(md, inplace=True) gens = dict(md.elements(element_type='generator')) buses = dict(md.elements(element_type='bus')) branches = dict(md.elements(element_type='branch')) loads = dict(md.elements(element_type='load')) shunts = dict(md.elements(element_type='shunt')) dc_branches = dict(md.elements(element_type='dc_branch')) contingencies = dict(md.elements(element_type='contingency')) gen_attrs = md.attributes(element_type='generator') ## to keep things in order buses_idx = tuple(buses.keys()) branches_idx = tuple(branches.keys()) inlet_branches_by_bus, outlet_branches_by_bus = \ tx_utils.inlet_outlet_branches_by_bus(branches, buses) gens_by_bus = tx_utils.gens_by_bus(buses, gens) model = pyo.ConcreteModel() ### declare (and fix) the loads at the buses bus_p_loads, _ = tx_utils.dict_of_bus_loads(buses, loads) libbus.declare_var_pl(model, buses_idx, initialize=bus_p_loads) model.pl.fix() ### declare the fixed shunts at the buses _, bus_gs_fixed_shunts = tx_utils.dict_of_bus_fixed_shunts(buses, shunts) ### declare the generator real power pg_init = { k: (gen_attrs['p_min'][k] + gen_attrs['p_max'][k]) / 2.0 for k in gen_attrs['pg'] } libgen.declare_var_pg(model, gen_attrs['names'], initialize=pg_init, bounds=zip_items(gen_attrs['p_min'], gen_attrs['p_max'])) ### include the feasibility slack for the system balance p_rhs_kwargs = {} if include_feasibility_slack: p_marginal_slack_penalty = _validate_and_extract_slack_penalty(md) p_rhs_kwargs, penalty_expr = _include_system_feasibility_slack( model, bus_p_loads, gen_attrs, p_marginal_slack_penalty) if dc_branches: dcpf_bounds = dict() for k, k_dict in dc_branches.items(): kp_max = k_dict['rating_long_term'] if kp_max is None: dcpf_bounds[k] = (None, None) else: dcpf_bounds[k] = (-kp_max, kp_max) libbranch.declare_var_dcpf( model=model, index_set=dc_branches.keys(), initialize=0., bounds=dcpf_bounds, ) dc_inlet_branches_by_bus, dc_outlet_branches_by_bus = \ tx_utils.inlet_outlet_branches_by_bus(dc_branches, buses) else: dc_inlet_branches_by_bus = None dc_outlet_branches_by_bus = None ### declare the p balance libbus.declare_eq_p_balance_ed(model=model, index_set=buses_idx, bus_p_loads=bus_p_loads, gens_by_bus=gens_by_bus, bus_gs_fixed_shunts=bus_gs_fixed_shunts, **p_rhs_kwargs) ### declare net withdraw expression for use in PTDF power flows libbus.declare_expr_p_net_withdraw_at_bus( model=model, index_set=buses_idx, bus_p_loads=bus_p_loads, gens_by_bus=gens_by_bus, bus_gs_fixed_shunts=bus_gs_fixed_shunts, dc_inlet_branches_by_bus=dc_inlet_branches_by_bus, dc_outlet_branches_by_bus=dc_outlet_branches_by_bus, ) ### add "blank" power flow expressions libbranch.declare_expr_pf( model=model, index_set=branches_idx, ) ### add "blank" power flow expressions model._contingencies = pyo.Set(initialize=contingencies.keys()) model._branches = pyo.Set(initialize=branches_idx) ### NOTE: important that this not be dense, we'll add elements ### as we find violations model._contingency_set = pyo.Set(within=model._contingencies * model._branches) model.pfc = pyo.Expression(model._contingency_set) ## Do and store PTDF calculation reference_bus = md.data['system']['reference_bus'] PTDF = ptdf_utils.VirtualPTDFMatrix(branches, buses, reference_bus, base_point, ptdf_options,\ contingencies=contingencies, branches_keys=branches_idx, buses_keys=buses_idx) model._PTDF = PTDF model._ptdf_options = ptdf_options if not ptdf_options['lazy']: raise RuntimeError("scopf only supports lazy constraint generation") ### add "blank" real power flow limits libbranch.declare_ineq_p_branch_thermal_bounds( model=model, index_set=branches_idx, branches=branches, p_thermal_limits=None, approximation_type=None, ) ### add "blank" real power flow limits libbranch.declare_ineq_p_contingency_branch_thermal_bounds( model=model, index_set=model._contingency_set, pc_thermal_limits=None, approximation_type=None, ) ### add helpers for tracking monitored branches lpu.add_monitored_flow_tracker(model) ### add initial branches to monitored set lpu.add_initial_monitored_constraints(model, md, branches_idx, ptdf_options, PTDF) ### declare the generator cost objective p_costs = gen_attrs['p_cost'] pw_pg_cost_gens = list( libgen.pw_gen_generator(gen_attrs['names'], costs=p_costs)) if len(pw_pg_cost_gens) > 0: if pw_cost_model == 'delta': libgen.declare_var_delta_pg(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_pg_delta_pg_con(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) else: libgen.declare_var_pg_cost(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_piecewise_pg_cost_cons(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_expression_pg_operating_cost(model=model, index_set=gen_attrs['names'], p_costs=p_costs, pw_formulation=pw_cost_model) obj_expr = sum(model.pg_operating_cost[gen_name] for gen_name in model.pg_operating_cost) if include_feasibility_slack: obj_expr += penalty_expr model.obj = pyo.Objective(expr=obj_expr) return model, md
def create_riv_acopf_model(model_data, include_feasibility_slack=False, pw_cost_model='delta'): md = model_data.clone_in_service() tx_utils.scale_ModelData_to_pu(md, inplace=True) gens = dict(md.elements(element_type='generator')) buses = dict(md.elements(element_type='bus')) branches = dict(md.elements(element_type='branch')) loads = dict(md.elements(element_type='load')) shunts = dict(md.elements(element_type='shunt')) gen_attrs = md.attributes(element_type='generator') bus_attrs = md.attributes(element_type='bus') branch_attrs = md.attributes(element_type='branch') load_attrs = md.attributes(element_type='load') shunt_attrs = md.attributes(element_type='shunt') inlet_branches_by_bus, outlet_branches_by_bus = \ tx_utils.inlet_outlet_branches_by_bus(branches, buses) gens_by_bus = tx_utils.gens_by_bus(buses, gens) model = pe.ConcreteModel() ### declare (and fix) the loads at the buses bus_p_loads, bus_q_loads = tx_utils.dict_of_bus_loads(buses, loads) libbus.declare_var_pl(model, bus_attrs['names'], initialize=bus_p_loads) libbus.declare_var_ql(model, bus_attrs['names'], initialize=bus_q_loads) model.pl.fix() model.ql.fix() ### declare the fixed shunts at the buses bus_bs_fixed_shunts, bus_gs_fixed_shunts = tx_utils.dict_of_bus_fixed_shunts( buses, shunts) ### declare the rectangular voltages neg_v_max = map_items(op.neg, bus_attrs['v_max']) vr_init = { k: bus_attrs['vm'][k] * pe.cos(radians(bus_attrs['va'][k])) for k in bus_attrs['vm'] } libbus.declare_var_vr(model, bus_attrs['names'], initialize=vr_init, bounds=zip_items(neg_v_max, bus_attrs['v_max'])) vj_init = { k: bus_attrs['vm'][k] * pe.sin(radians(bus_attrs['va'][k])) for k in bus_attrs['vm'] } libbus.declare_var_vj(model, bus_attrs['names'], initialize=vj_init, bounds=zip_items(neg_v_max, bus_attrs['v_max'])) ### include the feasibility slack for the bus balances p_rhs_kwargs = {} q_rhs_kwargs = {} if include_feasibility_slack: p_marginal_slack_penalty, q_marginal_slack_penalty = _validate_and_extract_slack_penalties( md) p_rhs_kwargs, q_rhs_kwargs, penalty_expr = _include_feasibility_slack( model, bus_attrs['names'], bus_p_loads, bus_q_loads, gens_by_bus, gen_attrs, p_marginal_slack_penalty, q_marginal_slack_penalty) ### fix the reference bus ref_bus = md.data['system']['reference_bus'] ref_angle = md.data['system']['reference_bus_angle'] if ref_angle != 0.0: libbus.declare_eq_ref_bus_nonzero(model, ref_angle, ref_bus) else: model.vj[ref_bus].fix(0.0) model.vr[ref_bus].setlb(0.0) ### declare the generator real and reactive power pg_init = { k: (gen_attrs['p_min'][k] + gen_attrs['p_max'][k]) / 2.0 for k in gen_attrs['pg'] } libgen.declare_var_pg(model, gen_attrs['names'], initialize=pg_init, bounds=zip_items(gen_attrs['p_min'], gen_attrs['p_max'])) qg_init = { k: (gen_attrs['q_min'][k] + gen_attrs['q_max'][k]) / 2.0 for k in gen_attrs['qg'] } libgen.declare_var_qg(model, gen_attrs['names'], initialize=qg_init, bounds=zip_items(gen_attrs['q_min'], gen_attrs['q_max'])) ### declare the current flows in the branches branch_currents = tx_utils.dict_of_branch_currents(branches, buses) s_max = {k: branches[k]['rating_long_term'] for k in branches.keys()} if_bounds = dict() it_bounds = dict() ifr_init = dict() ifj_init = dict() itr_init = dict() itj_init = dict() for branch_name, branch in branches.items(): from_bus = branch['from_bus'] to_bus = branch['to_bus'] y_matrix = tx_calc.calculate_y_matrix_from_branch(branch) ifr_init[branch_name] = tx_calc.calculate_ifr(vr_init[from_bus], vj_init[from_bus], vr_init[to_bus], vj_init[to_bus], y_matrix) ifj_init[branch_name] = tx_calc.calculate_ifj(vr_init[from_bus], vj_init[from_bus], vr_init[to_bus], vj_init[to_bus], y_matrix) itr_init[branch_name] = tx_calc.calculate_itr(vr_init[from_bus], vj_init[from_bus], vr_init[to_bus], vj_init[to_bus], y_matrix) itj_init[branch_name] = tx_calc.calculate_itj(vr_init[from_bus], vj_init[from_bus], vr_init[to_bus], vj_init[to_bus], y_matrix) if s_max[branch_name] is None: if_bounds[branch_name] = (None, None) it_bounds[branch_name] = (None, None) else: if_max = s_max[branch_name] / buses[branches[branch_name] ['from_bus']]['v_min'] it_max = s_max[branch_name] / buses[branches[branch_name] ['to_bus']]['v_min'] if_bounds[branch_name] = (-if_max, if_max) it_bounds[branch_name] = (-it_max, it_max) libbranch.declare_var_ifr(model=model, index_set=branch_attrs['names'], initialize=ifr_init, bounds=if_bounds) libbranch.declare_var_ifj(model=model, index_set=branch_attrs['names'], initialize=ifj_init, bounds=if_bounds) libbranch.declare_var_itr(model=model, index_set=branch_attrs['names'], initialize=itr_init, bounds=it_bounds) libbranch.declare_var_itj(model=model, index_set=branch_attrs['names'], initialize=itj_init, bounds=it_bounds) ir_init = dict() ij_init = dict() for bus_name, bus in buses.items(): ir_expr = sum([ ifr_init[branch_name] for branch_name in outlet_branches_by_bus[bus_name] ]) ir_expr += sum([ itr_init[branch_name] for branch_name in inlet_branches_by_bus[bus_name] ]) ij_expr = sum([ ifj_init[branch_name] for branch_name in outlet_branches_by_bus[bus_name] ]) ij_expr += sum([ itj_init[branch_name] for branch_name in inlet_branches_by_bus[bus_name] ]) if bus_gs_fixed_shunts[bus_name] != 0.0: ir_expr += bus_gs_fixed_shunts[bus_name] * vr_init[bus_name] ij_expr += bus_gs_fixed_shunts[bus_name] * vj_init[bus_name] if bus_bs_fixed_shunts[bus_name] != 0.0: ir_expr += bus_bs_fixed_shunts[bus_name] * vj_init[bus_name] ij_expr += bus_bs_fixed_shunts[bus_name] * vr_init[bus_name] ir_init[bus_name] = ir_expr ij_init[bus_name] = ij_expr # TODO: Implement better bounds (?) for these aggregated variables -- note, these are unbounded in old Egret libbus.declare_var_ir_aggregation_at_bus(model=model, index_set=bus_attrs['names'], initialize=ir_init, bounds=(None, None)) libbus.declare_var_ij_aggregation_at_bus(model=model, index_set=bus_attrs['names'], initialize=ij_init, bounds=(None, None)) ### declare the branch current flow constraints libbranch.declare_eq_branch_current(model=model, index_set=branch_attrs['names'], branches=branches) ### declare the ir/ij_aggregation constraints libbus.declare_eq_i_aggregation_at_bus( model=model, index_set=bus_attrs['names'], bus_bs_fixed_shunts=bus_bs_fixed_shunts, bus_gs_fixed_shunts=bus_gs_fixed_shunts, inlet_branches_by_bus=inlet_branches_by_bus, outlet_branches_by_bus=outlet_branches_by_bus) ### declare the pq balances libbus.declare_eq_p_balance_with_i_aggregation( model=model, index_set=bus_attrs['names'], bus_p_loads=bus_p_loads, gens_by_bus=gens_by_bus, **p_rhs_kwargs) libbus.declare_eq_q_balance_with_i_aggregation( model=model, index_set=bus_attrs['names'], bus_q_loads=bus_q_loads, gens_by_bus=gens_by_bus, **q_rhs_kwargs) ### declare the thermal limits libbranch.declare_ineq_s_branch_thermal_limit( model=model, index_set=branch_attrs['names'], branches=branches, s_thermal_limits=s_max, flow_type=FlowType.CURRENT) ### declare the voltage min and max inequalities libbus.declare_ineq_vm_bus_lbub(model=model, index_set=bus_attrs['names'], buses=buses, coordinate_type=CoordinateType.RECTANGULAR) ### declare angle difference limits on interconnected buses libbranch.declare_ineq_angle_diff_branch_lbub( model=model, index_set=branch_attrs['names'], branches=branches, coordinate_type=CoordinateType.RECTANGULAR) ### declare the generator cost objective p_costs = gen_attrs['p_cost'] pw_pg_cost_gens = list( libgen.pw_gen_generator(gen_attrs['names'], costs=p_costs)) if len(pw_pg_cost_gens) > 0: if pw_cost_model == 'delta': libgen.declare_var_delta_pg(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_pg_delta_pg_con(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) else: libgen.declare_var_pg_cost(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_piecewise_pg_cost_cons(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_expression_pg_operating_cost(model=model, index_set=gen_attrs['names'], p_costs=p_costs, pw_formulation=pw_cost_model) obj_expr = sum(model.pg_operating_cost[gen_name] for gen_name in model.pg_operating_cost) q_costs = gen_attrs.get('q_cost', None) if q_costs is not None: pw_qg_cost_gens = list( libgen.pw_gen_generator(gen_attrs['names'], costs=q_costs)) if len(pw_qg_cost_gens) > 0: if pw_cost_model == 'delta': libgen.declare_var_delta_qg(model=model, index_set=pw_qg_cost_gens, q_costs=q_costs) libgen.declare_qg_delta_qg_con(model=model, index_set=pw_qg_cost_gens, q_costs=q_costs) else: libgen.declare_var_qg_cost(model=model, index_set=pw_qg_cost_gens, q_costs=q_costs) libgen.declare_piecewise_qg_cost_cons( model=model, index_set=pw_qg_cost_gens, q_costs=q_costs) libgen.declare_expression_qg_operating_cost( model=model, index_set=gen_attrs['names'], q_costs=q_costs, pw_formulation=pw_cost_model) obj_expr += sum(model.qg_operating_cost[gen_name] for gen_name in model.qg_operating_cost) if include_feasibility_slack: obj_expr += penalty_expr model.obj = pe.Objective(expr=obj_expr) return model, md
def create_copperplate_dispatch_approx_model(model_data, include_feasibility_slack=False, pw_cost_model='delta'): md = model_data.clone_in_service() tx_utils.scale_ModelData_to_pu(md, inplace=True) gens = dict(md.elements(element_type='generator')) buses = dict(md.elements(element_type='bus')) branches = dict(md.elements(element_type='branch')) loads = dict(md.elements(element_type='load')) shunts = dict(md.elements(element_type='shunt')) gen_attrs = md.attributes(element_type='generator') bus_attrs = md.attributes(element_type='bus') inlet_branches_by_bus, outlet_branches_by_bus = \ tx_utils.inlet_outlet_branches_by_bus(branches, buses) gens_by_bus = tx_utils.gens_by_bus(buses, gens) model = pe.ConcreteModel() ### declare (and fix) the loads at the buses bus_p_loads, _ = tx_utils.dict_of_bus_loads(buses, loads) libbus.declare_var_pl(model, bus_attrs['names'], initialize=bus_p_loads) model.pl.fix() ### declare the fixed shunts at the buses _, bus_gs_fixed_shunts = tx_utils.dict_of_bus_fixed_shunts(buses, shunts) ### declare the generator real power pg_init = { k: (gen_attrs['p_min'][k] + gen_attrs['p_max'][k]) / 2.0 for k in gen_attrs['pg'] } libgen.declare_var_pg(model, gen_attrs['names'], initialize=pg_init, bounds=zip_items(gen_attrs['p_min'], gen_attrs['p_max'])) ### include the feasibility slack for the system balance p_rhs_kwargs = {} if include_feasibility_slack: p_marginal_slack_penalty = _validate_and_extract_slack_penalty( model_data) p_rhs_kwargs, penalty_expr = _include_system_feasibility_slack( model, bus_p_loads, gen_attrs, p_marginal_slack_penalty) ### declare the p balance libbus.declare_eq_p_balance_ed(model=model, index_set=bus_attrs['names'], bus_p_loads=bus_p_loads, gens_by_bus=gens_by_bus, bus_gs_fixed_shunts=bus_gs_fixed_shunts, **p_rhs_kwargs) ### declare the generator cost objective p_costs = gen_attrs['p_cost'] pw_pg_cost_gens = list( libgen.pw_gen_generator(gen_attrs['names'], costs=p_costs)) if len(pw_pg_cost_gens) > 0: if pw_cost_model == 'delta': libgen.declare_var_delta_pg(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_pg_delta_pg_con(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) else: libgen.declare_var_pg_cost(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_piecewise_pg_cost_cons(model=model, index_set=pw_pg_cost_gens, p_costs=p_costs) libgen.declare_expression_pg_operating_cost(model=model, index_set=gen_attrs['names'], p_costs=p_costs, pw_formulation=pw_cost_model) obj_expr = sum(model.pg_operating_cost[gen_name] for gen_name in model.pg_operating_cost) if include_feasibility_slack: obj_expr += penalty_expr model.obj = pe.Objective(expr=obj_expr) return model, md