def get_capacity_constraint(backend_model, parameter, loc_tech,
_equals=None, _max=None, _min=None, scale=None):
decision_variable = getattr(backend_model, parameter)
if not _equals:
_equals = get_param(backend_model, parameter + '_equals', loc_tech)
if not _max:
_max = get_param(backend_model, parameter + '_max', loc_tech)
if not _min:
_min = get_param(backend_model, parameter + '_min', loc_tech)
if po.value(_equals) is not False and po.value(_equals) is not None:
if np.isinf(po.value(_equals)):
e = exceptions.ModelError
raise e('Cannot use inf for {}_equals for loc:tech `{}`'.format(parameter, loc_tech))
if scale:
_equals *= scale
return decision_variable[loc_tech] == _equals
else:
if po.value(_min) == 0 and np.isinf(po.value(_max)):
return po.Constraint.NoConstraint
else:
if scale:
_max *= scale
_min *= scale
return (_min, decision_variable[loc_tech], _max)
def solveModel(self, x, y, z):
model = self.model
opt = SolverFactory(self.config.solver)
opt.options.update(self.config.solver_options)
results = opt.solve(
model, keepfiles=self.keepfiles, tee=self.stream_solver)
if ((results.solver.status == SolverStatus.ok)
and (results.solver.termination_condition == TerminationCondition.optimal)):
model.solutions.load_from(results)
for i in range(0, self.lx):
x[i] = value(self.TRF.xvars[i])
for i in range(0, self.ly):
y[i] = value(self.TRF.y[i+1])
for i in range(0, self.lz):
z[i] = value(self.TRF.zvars[i])
for obj in model.component_data_objects(Objective,active=True):
return True, obj()
else:
print("Waring: solver Status: " + str(results.solver.status))
print("And Termination Conditions: " + str(results.solver.termination_condition))
return False, 0
def make2dPlot(expr, numticks=10, show_plot=False):
mc_ccVals = [None] * (numticks + 1)
mc_cvVals = [None] * (numticks + 1)
aff_cc = [None] * (numticks + 1)
aff_cv = [None] * (numticks + 1)
fvals = [None] * (numticks + 1)
mc_expr = mc(expr)
x = next(identify_variables(expr)) # get the first variable
tick_length = (x.ub - x.lb) / numticks
xaxis = [x.lb + tick_length * n for n in range(numticks + 1)]
x_val = value(x) # initial value of x
cc = mc_expr.subcc() # Concave overestimator subgradient at x_val
cv = mc_expr.subcv() # Convex underestimator subgradient at x_val
f_cc = mc_expr.concave() # Concave overestimator value at x_val
f_cv = mc_expr.convex() # Convex underestimator value at x_val
for i, x_tick in enumerate(xaxis):
aff_cc[i] = cc[x] * (x_tick - x_val) + f_cc
aff_cv[i] = cv[x] * (x_tick - x_val) + f_cv
mc_expr.changePoint(x, x_tick)
mc_ccVals[i] = mc_expr.concave()
mc_cvVals[i] = mc_expr.convex()
fvals[i] = value(expr)
if show_plot:
import matplotlib.pyplot as plt
plt.plot(xaxis, fvals, 'r', xaxis, mc_ccVals, 'b--', xaxis,
mc_cvVals, 'b--', xaxis, aff_cc, 'k|', xaxis, aff_cv, 'k|')
plt.show()
return mc_ccVals, mc_cvVals, aff_cc, aff_cv
def _estimate_M(self, expr, name):
# Calculate a best guess at M
repn = generate_standard_repn(expr)
M = [0, 0]
if not repn.is_nonlinear():
if repn.constant is not None:
for i in (0, 1):
if M[i] is not None:
M[i] += repn.constant
for i, coef in enumerate(repn.linear_coefs or []):
var = repn.linear_vars[i]
bounds = (value(var.lb), value(var.ub))
for i in (0, 1):
# reverse the bounds if the coefficient is negative
if coef > 0:
j = i
else:
j = 1 - i
if bounds[i] is not None:
M[j] += value(bounds[i]) * coef
else:
raise GDP_Error(
"Cannot estimate M for "
"expressions with unbounded variables."
"\n\t(found unbounded var %s while processing "
"constraint %s)" % (var.name, name))
else:
raise GDP_Error("Cannot estimate M for nonlinear "
"expressions.\n\t(found while processing "
"constraint %s)" % name)
return tuple(M)
def tear_diff_direct(self, G, tears):
"""
Returns numpy arrays of values for src and dest members
for all edges in the tears list of edge indexes.
"""
svals = []
dvals = []
edge_list = self.idx_to_edge(G)
for tear in tears:
arc = G.edges[edge_list[tear]]["arc"]
src, dest = arc.src, arc.dest
sf = arc.expanded_block.component("splitfrac")
for name, mem in src.iter_vars(names=True):
if src.is_extensive(name) and sf is not None:
# TODO: same as above, what if there's no splitfrac
svals.append(value(mem * sf))
else:
svals.append(value(mem))
try:
index = mem.index()
except AttributeError:
index = None
dvals.append(value(self.source_dest_peer(arc, name, index)))
svals = numpy.array(svals)
dvals = numpy.array(dvals)
return svals, dvals
def copy_var_list_values(from_list, to_list, config, skip_stale=False):
"""Copy variable values from one list to another."""
for v_from, v_to in zip(from_list, to_list):
if skip_stale and v_from.stale:
continue # Skip stale variable values.
try:
v_to.set_value(value(v_from, exception=False))
if skip_stale:
v_to.stale = False
except ValueError as err:
err_msg = getattr(err, 'message', str(err))
var_val = value(v_from)
rounded_val = int(round(var_val))
# Check to see if this is just a tolerance issue
if 'is not in domain Binary' in err_msg and (
fabs(var_val - 1) <= config.integer_tolerance or
fabs(var_val) <= config.integer_tolerance):
v_to.set_value(rounded_val)
elif 'is not in domain Integers' in err_msg and (
fabs(var_val - rounded_val) <= config.integer_tolerance):
v_to.set_value(rounded_val)
# Value is zero, but shows up as slightly less than zero.
elif 'is not in domain NonNegativeReals' in err_msg and (
fabs(var_val) <= config.zero_tolerance):
v_to.set_value(0)
else:
raise
def disjunctive_bound(var, scope):
"""Compute the disjunctive bounds for a variable in a given scope.
Args:
var (_VarData): Variable for which to compute bound
scope (Component): The scope in which to compute the bound. If not a
_DisjunctData, it will walk up the tree and use the scope of the
most immediate enclosing _DisjunctData.
Returns:
numeric: the tighter of either the disjunctive lower bound, the
variable lower bound, or (-inf, inf) if neither exist.
"""
# Initialize to the global variable bound
var_bnd = (
value(var.lb) if var.has_lb() else -inf,
value(var.ub) if var.has_ub() else inf)
possible_disjunct = scope
while possible_disjunct is not None:
try:
disj_bnd = possible_disjunct._disj_var_bounds.get(var, (-inf, inf))
disj_bnd = (
max(var_bnd[0], disj_bnd[0]),
min(var_bnd[1], disj_bnd[1]))
return disj_bnd
except AttributeError:
# possible disjunct does not have attribute '_disj_var_bounds'.
# Try again with the scope's parent block.
possible_disjunct = possible_disjunct.parent_block()
# Unable to find '_disj_var_bounds' attribute within search scope.
return var_bnd
def unit_capacity_systemwide_constraint_rule(backend_model, tech):
"""
Set constraints to limit the number of purchased units of a single technology
type across all locations in the model.
The first valid case is applied:
.. container:: scrolling-wrapper
.. math::
\\sum_{loc}\\boldsymbol{units}(loc::tech) + \\boldsymbol{purchased}(loc::tech)
\\begin{cases}
= units_{equals, systemwide}(tech),&
\\text{if } units_{equals, systemwide}(tech)\\\\
\\leq units_{max, systemwide}(tech),&
\\text{if } units_{max, systemwide}(tech)\\\\
\\text{unconstrained},& \\text{otherwise}
\\end{cases}
\\forall tech \\in techs
"""
if tech in backend_model.techs_transmission_names:
all_loc_techs = [
i for i in backend_model.loc_techs_transmission
if i.split('::')[1].split(':')[0] == tech
]
multiplier = 2 # there are always two technologies associated with one link
else:
all_loc_techs = [
i for i in backend_model.loc_techs
if i.split('::')[1] == tech
]
multiplier = 1
max_systemwide = get_param(backend_model, 'units_max_systemwide', tech)
equals_systemwide = get_param(backend_model, 'units_equals_systemwide', tech)
if np.isinf(po.value(max_systemwide)) and not equals_systemwide:
return po.Constraint.NoConstraint
elif equals_systemwide and np.isinf(po.value(equals_systemwide)):
raise ValueError(
'Cannot use inf for energy_cap_equals_systemwide for tech `{}`'.format(tech)
)
sum_expr_units = sum(
backend_model.units[loc_tech] for loc_tech in all_loc_techs
if loc_tech_is_in(backend_model, loc_tech, 'loc_techs_milp')
)
sum_expr_purchase = sum(
backend_model.purchased[loc_tech] for loc_tech in all_loc_techs
if loc_tech_is_in(backend_model, loc_tech, 'loc_techs_purchase')
)
if equals_systemwide:
return sum_expr_units + sum_expr_purchase == equals_systemwide * multiplier
else:
return sum_expr_units + sum_expr_purchase <= max_systemwide * multiplier
def resource_availability_supply_plus_constraint_rule(backend_model, loc_tech, timestep):
"""
Limit production from supply_plus techs to their available resource.
.. container:: scrolling-wrapper
.. math::
\\boldsymbol{resource_{con}}(loc::tech, timestep)
\\leq available\\_resource(loc::tech, timestep)
\\quad \\forall loc::tech \\in loc::techs_{supply^{+}}, \\forall timestep \\in timesteps
If :math:`force\\_resource(loc::tech)` is set:
.. container:: scrolling-wrapper
.. math::
\\boldsymbol{resource_{con}}(loc::tech, timestep)
= available\\_resource(loc::tech, timestep)
\\quad \\forall loc::tech \\in loc::techs_{supply^{+}}, \\forall timestep \\in timesteps
Where:
.. container:: scrolling-wrapper
.. math::
available\\_resource(loc::tech, timestep) = resource(loc::tech, timestep)
\\times resource_{scale}(loc::tech)
if :math:`loc::tech` is in :math:`loc::techs_{area}`:
.. container:: scrolling-wrapper
.. math::
available\\_resource(loc::tech, timestep) = resource(loc::tech, timestep)
\\times resource_{scale}(loc::tech)
\\times resource_{area}(loc::tech)
"""
resource = get_param(backend_model, 'resource', (loc_tech, timestep))
resource_scale = get_param(backend_model, 'resource_scale', loc_tech)
force_resource = get_param(backend_model, 'force_resource', loc_tech)
resource_unit = get_param(backend_model, 'resource_unit', loc_tech)
if po.value(resource_unit) == 'energy_per_area':
available_resource = resource * resource_scale * backend_model.resource_area[loc_tech]
elif po.value(resource_unit) == 'energy_per_cap':
available_resource = resource * resource_scale * backend_model.energy_cap[loc_tech]
else:
available_resource = resource * resource_scale
if po.value(force_resource):
return backend_model.resource_con[loc_tech, timestep] == available_resource
else:
return backend_model.resource_con[loc_tech, timestep] <= available_resource
def log_infeasible_constraints(m, tol=1E-6, logger=logger):
"""Print the infeasible constraints in the model.
Uses the current model state. Uses pyomo.util.infeasible logger unless one
is provided.
Args:
m (Block): Pyomo block or model to check
tol (float): feasibility tolerance
"""
for constr in m.component_data_objects(
ctype=Constraint, active=True, descend_into=True):
# if constraint is an equality, handle differently
if constr.equality and fabs(value(constr.lower - constr.body)) >= tol:
logger.info('CONSTR {}: {} != {}'.format(
constr.name, value(constr.body), value(constr.lower)))
continue
# otherwise, check LB and UB, if they exist
if constr.has_lb() and value(constr.lower - constr.body) >= tol:
logger.info('CONSTR {}: {} < {}'.format(
constr.name, value(constr.body), value(constr.lower)))
if constr.has_ub() and value(constr.body - constr.upper) >= tol:
logger.info('CONSTR {}: {} > {}'.format(
constr.name, value(constr.body), value(constr.upper)))
def getInitialValue(self):
x = np.zeros(self.lx, dtype=float)
y = np.zeros(self.ly, dtype=float)
z = np.zeros(self.lz, dtype=float)
for i in range(0, self.lx):
x[i] = value(self.TRF.xvars[i])
for i in range(0, self.ly):
#initialization of y?
y[i] = 1
for i in range(0, self.lz):
z[i] = value(self.TRF.zvars[i])
return x, y, z
def solve_NLP_feas(solve_data, config):
m = solve_data.working_model.clone()
add_feas_slacks(m)
MindtPy = m.MindtPy_utils
next(m.component_data_objects(Objective, active=True)).deactivate()
for constr in m.component_data_objects(
ctype=Constraint, active=True, descend_into=True):
constr.deactivate()
MindtPy.MindtPy_feas.activate()
MindtPy.MindtPy_feas_obj = Objective(
expr=sum(s for s in MindtPy.MindtPy_feas.slack_var[...]),
sense=minimize)
for v in MindtPy.variable_list:
if v.is_binary():
v.fix(int(round(v.value)))
# m.pprint() #print nlp feasibility problem for debugging
with SuppressInfeasibleWarning():
feas_soln = SolverFactory(config.nlp_solver).solve(
m, **config.nlp_solver_args)
subprob_terminate_cond = feas_soln.solver.termination_condition
if subprob_terminate_cond is tc.optimal:
copy_var_list_values(
MindtPy.variable_list,
solve_data.working_model.MindtPy_utils.variable_list,
config)
pass
elif subprob_terminate_cond is tc.infeasible:
raise ValueError('Feasibility NLP infeasible. '
'This should never happen.')
else:
raise ValueError(
'MindtPy unable to handle feasibility NLP termination condition '
'of {}'.format(subprob_terminate_cond))
var_values = [v.value for v in MindtPy.variable_list]
duals = [0 for _ in MindtPy.constraint_list]
for i, constr in enumerate(MindtPy.constraint_list):
# TODO rhs only works if constr.upper and constr.lower do not both have values.
# Sometimes you might have 1 <= expr <= 1. This would give an incorrect rhs of 2.
rhs = ((0 if constr.upper is None else constr.upper) +
(0 if constr.lower is None else constr.lower))
sign_adjust = 1 if value(constr.upper) is None else -1
duals[i] = sign_adjust * max(
0, sign_adjust * (rhs - value(constr.body)))
if value(MindtPy.MindtPy_feas_obj.expr) == 0:
raise ValueError(
'Problem is not feasible, check NLP solver')
return var_values, duals
def energy_capacity_systemwide_constraint_rule(backend_model, tech):
"""
Set constraints to limit the capacity of a single technology type across all locations in the model.
The first valid case is applied:
.. container:: scrolling-wrapper
.. math::
\\sum_{loc}\\boldsymbol{energy_{cap}}(loc::tech)
\\begin{cases}
= energy_{cap, equals, systemwide}(loc::tech),&
\\text{if } energy_{cap, equals, systemwide}(loc::tech)\\\\
\\leq energy_{cap, max, systemwide}(loc::tech),&
\\text{if } energy_{cap, max, systemwide}(loc::tech)\\\\
\\text{unconstrained},& \\text{otherwise}
\\end{cases}
\\forall tech \\in techs
"""
if tech in backend_model.techs_transmission_names:
all_loc_techs = [
i for i in backend_model.loc_techs_transmission
if i.split('::')[1].split(':')[0] == tech
]
multiplier = 2 # there are always two technologies associated with one link
else:
all_loc_techs = [
i for i in backend_model.loc_techs
if i.split('::')[1] == tech
]
multiplier = 1
max_systemwide = get_param(backend_model, 'energy_cap_max_systemwide', tech)
equals_systemwide = get_param(backend_model, 'energy_cap_equals_systemwide', tech)
if np.isinf(po.value(max_systemwide)) and not equals_systemwide:
return po.Constraint.NoConstraint
elif equals_systemwide and np.isinf(po.value(equals_systemwide)):
raise exceptions.ModelError(
'Cannot use inf for energy_cap_equals_systemwide for tech `{}`'.format(tech)
)
sum_expr = sum(backend_model.energy_cap[loc_tech] for loc_tech in all_loc_techs)
if equals_systemwide:
return sum_expr == equals_systemwide * multiplier
else:
return sum_expr <= max_systemwide * multiplier
def cost_var_constraint_rule(backend_model, cost, loc_tech, timestep):
"""
Calculate costs from time-varying decision variables
.. container:: scrolling-wrapper
.. math::
\\boldsymbol{cost_{var}}(cost, loc::tech, timestep) = cost_{prod}(cost, loc::tech, timestep) + cost_{con}(cost, loc::tech, timestep)
cost_{prod}(cost, loc::tech, timestep) = cost_{om\\_prod}(cost, loc::tech, timestep) \\times weight(timestep) \\times \\boldsymbol{carrier_{prod}}(loc::tech::carrier, timestep)
prod\\_con\\_eff =
\\begin{cases}
= \\boldsymbol{resource_{con}}(loc::tech, timestep),&
\\text{if } loc::tech \\in loc\\_techs\\_supply\\_plus \\\\
= \\frac{\\boldsymbol{carrier_{prod}}(loc::tech::carrier, timestep)}{energy_eff(loc::tech, timestep)},&
\\text{if } loc::tech \\in loc\\_techs\\_supply \\\\
\\end{cases}
cost_{con}(cost, loc::tech, timestep) = cost_{om\\_con}(cost, loc::tech, timestep) \\times weight(timestep) \\times prod\\_con\\_eff
"""
model_data_dict = backend_model.__calliope_model_data__
cost_om_prod = get_param(backend_model, 'cost_om_prod', (cost, loc_tech, timestep))
cost_om_con = get_param(backend_model, 'cost_om_con', (cost, loc_tech, timestep))
weight = backend_model.timestep_weights[timestep]
loc_tech_carrier = model_data_dict['data']['lookup_loc_techs'][loc_tech]
if po.value(cost_om_prod):
cost_prod = cost_om_prod * weight * backend_model.carrier_prod[loc_tech_carrier, timestep]
else:
cost_prod = 0
if loc_tech_is_in(backend_model, loc_tech, 'loc_techs_supply_plus') and cost_om_con:
cost_con = cost_om_con * weight * backend_model.resource_con[loc_tech, timestep]
elif loc_tech_is_in(backend_model, loc_tech, 'loc_techs_supply') and cost_om_con:
energy_eff = get_param(backend_model, 'energy_eff', (loc_tech, timestep))
if po.value(energy_eff) > 0: # in case energy_eff is zero, to avoid an infinite value
cost_con = cost_om_con * weight * (backend_model.carrier_prod[loc_tech_carrier, timestep] / energy_eff)
else:
cost_con = 0
else:
cost_con = 0
backend_model.cost_var_rhs[cost, loc_tech, timestep].expr = cost_prod + cost_con
return (backend_model.cost_var[cost, loc_tech, timestep] ==
backend_model.cost_var_rhs[cost, loc_tech, timestep])
def generate_gofx(self, G, tears):
edge_list = self.idx_to_edge(G)
gofx = []
for tear in tears:
arc = G.edges[edge_list[tear]]["arc"]
src = arc.src
sf = arc.expanded_block.component("splitfrac")
for name, mem in src.iter_vars(names=True):
if src.is_extensive(name) and sf is not None:
# TODO: same as above, what if there's no splitfrac
gofx.append(value(mem * sf))
else:
gofx.append(value(mem))
gofx = numpy.array(gofx)
return gofx
def register_var(self, var, lb, ub):
"""Registers a new variable."""
var_idx = self.var_to_idx[var]
inf = float('inf')
# Guard against errant None values in lb and ub
lb = -inf if lb is None else lb
ub = inf if ub is None else ub
lb = max(var.lb if var.has_lb() else -inf, lb)
ub = min(var.ub if var.has_ub() else inf, ub)
var_val = value(var, exception=False)
if lb == -inf:
lb = -500000
logger.warning(
'Var %s missing lower bound. Assuming LB of %s'
% (var.name, lb))
if ub == inf:
ub = 500000
logger.warning(
'Var %s missing upper bound. Assuming UB of %s'
% (var.name, ub))
if var_val is None:
var_val = (lb + ub) / 2
self.missing_value_warnings.append(
'Var %s missing value. Assuming midpoint value of %s'
% (var.name, var_val))
return self.mcpp.newVar(
lb, var_val, ub, self.num_vars, var_idx)
def subproblem_solve(gdp, config):
subproblem = gdp.clone()
TransformationFactory('gdp.bigm').apply_to(subproblem)
main_obj = next(subproblem.component_data_objects(Objective, active=True))
obj_sign = 1 if main_obj.sense == minimize else -1
try:
result = SolverFactory(config.solver).solve(subproblem, **config.solver_args)
except RuntimeError as e:
config.logger.warning(
"Solver encountered RuntimeError. Treating as infeasible. "
"Msg: %s\n%s" % (str(e), traceback.format_exc()))
var_values = [v.value for v in subproblem.GDPbb_utils.variable_list]
return obj_sign * float('inf'), SolverResults(), var_values
var_values = [v.value for v in subproblem.GDPbb_utils.variable_list]
term_cond = result.solver.termination_condition
if result.solver.status is SolverStatus.ok and any(
term_cond == valid_cond for valid_cond in (tc.optimal, tc.locallyOptimal, tc.feasible)):
return value(main_obj.expr), result, var_values
elif term_cond == tc.unbounded:
return obj_sign * float('-inf'), result, var_values
elif term_cond == tc.infeasible:
return obj_sign * float('inf'), result, var_values
else:
config.logger.warning("Unknown termination condition of %s" % term_cond)
return obj_sign * float('inf'), result, var_values
def energy_capacity_max_purchase_constraint_rule(backend_model, loc_tech):
"""
Set maximum energy capacity decision variable upper bound as a function of
binary purchase variable
The first valid case is applied:
.. container:: scrolling-wrapper
.. math::
\\frac{\\boldsymbol{energy_{cap}}(loc::tech)}{energy_{cap, scale}(loc::tech)}
\\begin{cases}
= energy_{cap, equals}(loc::tech) \\times \\boldsymbol{purchased}(loc::tech),&
\\text{if } energy_{cap, equals}(loc::tech)\\\\
\\leq energy_{cap, max}(loc::tech) \\times \\boldsymbol{purchased}(loc::tech),&
\\text{if } energy_{cap, max}(loc::tech)\\\\
\\text{unconstrained},& \\text{otherwise}
\\end{cases}
\\forall loc::tech \\in loc::techs_{purchase}
"""
energy_cap_max = get_param(backend_model, 'energy_cap_max', loc_tech)
energy_cap_equals = get_param(backend_model, 'energy_cap_equals', loc_tech)
energy_cap_scale = get_param(backend_model, 'energy_cap_scale', loc_tech)
if po.value(energy_cap_equals):
return backend_model.energy_cap[loc_tech] == (
energy_cap_equals * energy_cap_scale * backend_model.purchased[loc_tech]
)
else:
return backend_model.energy_cap[loc_tech] <= (
energy_cap_max * energy_cap_scale * backend_model.purchased[loc_tech]
)
def pass_single_value(self, port, name, member, val, fixed):
"""
Fix the value of the port member and add it to the fixed set.
If the member is an expression, appropriately fix the value of
its free variable. Error if the member is already fixed but
different from val, or if the member has more than one free
variable."
"""
eq_tol = self.options["almost_equal_tol"]
if member.is_fixed():
if abs(value(member) - val) > eq_tol:
raise RuntimeError(
"Member '%s' of port '%s' is already fixed but has a "
"different value (by > %s) than what is being passed to it"
% (name, port.name, eq_tol))
elif member.is_expression_type():
repn = generate_standard_repn(member - val)
if repn.is_linear() and len(repn.linear_vars) == 1:
# fix the value of the single variable
fval = (0 - repn.constant) / repn.linear_coefs[0]
var = repn.linear_vars[0]
fixed.add(var)
var.fix(fval)
else:
raise RuntimeError(
"Member '%s' of port '%s' had more than "
"one free variable when trying to pass a value "
"to it. Please fix more variables before passing "
"to this port." % (name, port.name))
else:
fixed.add(member)
member.fix(val)
def _collect_bilinear(self, expr, bilin, quad):
if not expr.is_expression():
return
if type(expr) is _ProductExpression:
if len(expr._numerator) != 2:
for e in expr._numerator:
self._collect_bilinear(e, bilin, quad)
# No need to check denominator, as this is poly_degree==2
return
if not isinstance(expr._numerator[0], _VarData) or \
not isinstance(expr._numerator[1], _VarData):
raise RuntimeError("Cannot yet handle complex subexpressions")
if expr._numerator[0] is expr._numerator[1]:
quad.append( (expr, expr._numerator[0]) )
else:
bilin.append( (expr, expr._numerator[0], expr._numerator[1]) )
return
if type(expr) is _PowExpression and value(expr._args[1]) == 2:
# Note: directly testing the value of the exponent above is
# safe: we have already verified that this expression is
# polynominal, so the exponent must be constant.
tmp = _ProductExpression()
tmp._numerator = [ expr._args[0], expr._args[0] ]
tmp._denominator = []
expr._args = (tmp, as_numeric(1))
#quad.append( (tmp, tmp._args[0]) )
self._collect_bilinear(tmp, bilin, quad)
return
# All other expression types
for e in expr._args:
self._collect_bilinear(e, bilin, quad)
def cost_var_conversion_constraint_rule(backend_model, cost, loc_tech, timestep):
"""
Add time-varying conversion technology costs
.. container:: scrolling-wrapper
.. math::
\\boldsymbol{cost_{var}}(loc::tech, cost, timestep) =
\\boldsymbol{carrier_{prod}}(loc::tech::carrier, timestep)
\\times timestep_{weight}(timestep) \\times cost_{om, prod}(loc::tech, cost, timestep)
+
\\boldsymbol{carrier_{con}}(loc::tech::carrier, timestep)
\\times timestep_{weight}(timestep) \\times cost_{om, con}(loc::tech, cost, timestep)
\\quad \\forall loc::tech \\in loc::techs_{cost_{var}, conversion}
"""
model_data_dict = backend_model.__calliope_model_data__
weight = backend_model.timestep_weights[timestep]
loc_tech_carrier_in = (
model_data_dict['data']['lookup_loc_techs_conversion'][('in', loc_tech)]
)
loc_tech_carrier_out = (
model_data_dict['data']['lookup_loc_techs_conversion'][('out', loc_tech)]
)
cost_om_prod = get_param(backend_model, 'cost_om_prod',
(cost, loc_tech, timestep))
cost_om_con = get_param(backend_model, 'cost_om_con',
(cost, loc_tech, timestep))
if po.value(cost_om_prod):
cost_prod = (cost_om_prod * weight *
backend_model.carrier_prod[loc_tech_carrier_out, timestep])
else:
cost_prod = 0
if po.value(cost_om_con):
cost_con = (cost_om_con * weight * -1 *
backend_model.carrier_con[loc_tech_carrier_in, timestep])
else:
cost_con = 0
backend_model.cost_var_rhs[cost, loc_tech, timestep] = cost_prod + cost_con
return (backend_model.cost_var[cost, loc_tech, timestep] ==
backend_model.cost_var_rhs[cost, loc_tech, timestep])
def log_close_to_bounds(m, tol=1E-6, logger=logger):
"""Print the variables and constraints that are near their bounds.
Fixed variables and equality constraints are excluded from this analysis.
Args:
m (Block): Pyomo block or model to check
tol (float): bound tolerance
"""
for var in m.component_data_objects(
ctype=Var, descend_into=True):
if var.fixed:
continue
if (var.has_lb() and var.has_ub() and
fabs(value(var.ub - var.lb)) <= 2 * tol):
continue # if the bounds are too close, skip.
if var.has_lb() and fabs(value(var.lb - var)) <= tol:
logger.info('{} near LB of {}'.format(var.name, value(var.lb)))
elif var.has_ub() and fabs(value(var.ub - var)) <= tol:
logger.info('{} near UB of {}'.format(var.name, value(var.ub)))
for constr in m.component_data_objects(
ctype=Constraint, descend_into=True, active=True):
if not constr.equality:
if (constr.has_ub() and
fabs(value(constr.body - constr.upper)) <= tol):
logger.info('{} near UB'.format(constr.name))
if (constr.has_lb() and
fabs(value(constr.body - constr.lower)) <= tol):
logger.info('{} near LB'.format(constr.name))
def combine_and_fix(self, port, name, obj, evars, fixed):
"""
For an extensive port member, combine the values of all
expanded variables and fix the port member at their sum.
Assumes that all expanded variables are fixed.
"""
assert all(evar.is_fixed() for evar in evars)
total = sum(value(evar) for evar in evars)
self.pass_single_value(port, name, obj, total, fixed)
def generate_first_x(self, G, tears):
edge_list = self.idx_to_edge(G)
x = []
for tear in tears:
arc = G.edges[edge_list[tear]]["arc"]
for name, index, mem in arc.src.iter_vars(names=True):
peer = self.source_dest_peer(arc, name, index)
x.append(value(peer))
x = numpy.array(x)
return x
def balance_storage_constraint_rule(backend_model, loc_tech, timestep):
"""
Balance carrier production and consumption of storage technologies,
alongside any use of the stored volume.
.. container:: scrolling-wrapper
.. math::
\\boldsymbol{storage}(loc::tech, timestep) =
\\boldsymbol{storage}(loc::tech, timestep_{previous})
\\times (1 - storage\\_loss(loc::tech, timestep))^{resolution(timestep)}
- \\boldsymbol{carrier_{con}}(loc::tech::carrier, timestep)
\\times \\eta_{energy}(loc::tech, timestep)
- \\frac{\\boldsymbol{carrier_{prod}}(loc::tech::carrier, timestep)}{\\eta_{energy}(loc::tech, timestep)}
\\quad \\forall loc::tech \\in loc::techs_{storage}, \\forall timestep \\in timesteps
"""
model_data_dict = backend_model.__calliope_model_data__['data']
model_attrs = backend_model.__calliope_model_data__['attrs']
energy_eff = get_param(backend_model, 'energy_eff', (loc_tech, timestep))
if po.value(energy_eff) == 0:
carrier_prod = 0
else:
loc_tech_carrier = model_data_dict['lookup_loc_techs'][loc_tech]
carrier_prod = backend_model.carrier_prod[loc_tech_carrier, timestep] / energy_eff
carrier_con = backend_model.carrier_con[loc_tech_carrier, timestep] * energy_eff
current_timestep = backend_model.timesteps.order_dict[timestep]
if current_timestep == 0 and not model_attrs['run.cyclic_storage']:
storage_previous_step = get_param(backend_model, 'storage_initial', loc_tech)
elif (hasattr(backend_model, 'storage_inter_cluster') and
model_data_dict['lookup_cluster_first_timestep'][timestep]):
storage_previous_step = 0
else:
if (hasattr(backend_model, 'clusters') and
model_data_dict['lookup_cluster_first_timestep'][timestep]):
previous_step = model_data_dict['lookup_cluster_last_timestep'][timestep]
elif current_timestep == 0 and model_attrs['run.cyclic_storage']:
previous_step = backend_model.timesteps[-1]
else:
previous_step = get_previous_timestep(backend_model.timesteps, timestep)
storage_loss = get_param(backend_model, 'storage_loss', loc_tech)
time_resolution = backend_model.timestep_resolution[previous_step]
storage_previous_step = (
((1 - storage_loss) ** time_resolution) *
backend_model.storage[loc_tech, previous_step]
)
return (
backend_model.storage[loc_tech, timestep] ==
storage_previous_step - carrier_prod - carrier_con
)
def add_objective_linearization(solve_data, config):
"""Adds initial linearized objective in case it is nonlinear.
This should be done for initializing the ECP method.
"""
m = solve_data.working_model
MindtPy = m.MindtPy_utils
solve_data.mip_iter += 1
gen = (obj for obj in MindtPy.jacs
if obj is MindtPy.MindtPy_objective_expr)
MindtPy.MindtPy_linear_cuts.mip_iters.add(solve_data.mip_iter)
sign_adjust = 1 if MindtPy.obj.sense == minimize else -1
# generate new constraints
# TODO some kind of special handling if the dual is phenomenally small?
for obj in gen:
c = MindtPy.MindtPy_linear_cuts.ecp_cuts.add(expr=sign_adjust * sum(
value(MindtPy.jacs[obj][id(var)]) * (var - value(var))
for var in list(EXPR.identify_variables(obj.body))) +
value(obj.body) <= 0)
MindtPy.ECP_constr_map[obj, solve_data.mip_iter] = c
def solve_bounding_problem(model, solver):
results = SolverFactory(solver).solve(model)
if results.solver.termination_condition is tc.optimal:
return value(model._var_bounding_obj.expr)
elif results.solver.termination_condition is tc.infeasible:
return None
elif results.solver.termination_condition is tc.unbounded:
return -inf
else:
raise NotImplementedError(
"Unhandled termination condition: %s"
% results.solver.termination_condition)
def copy_var_list_values(from_list, to_list, config,
skip_stale=False, skip_fixed=True,
ignore_integrality=False):
"""Copy variable values from one list to another.
Rounds to Binary/Integer if necessary
Sets to zero for NonNegativeReals if necessary
"""
for v_from, v_to in zip(from_list, to_list):
if skip_stale and v_from.stale:
continue # Skip stale variable values.
if skip_fixed and v_to.is_fixed():
continue # Skip fixed variables.
try:
# We don't want to trigger the reset of the global stale
# indicator, so we will set this variable to be "stale",
# knowing that set_value will switch it back to "not
# stale"
v_to.stale = True
# NOTE: PEP 2180 changes the var behavior so that domain /
# bounds violations no longer generate exceptions (and
# instead log warnings). This means that the following will
# always succeed and the ValueError should never be raised.
v_to.set_value(value(v_from, exception=False), skip_validation=True)
except ValueError as err:
err_msg = getattr(err, 'message', str(err))
var_val = value(v_from)
rounded_val = int(round(var_val))
# Check to see if this is just a tolerance issue
if ignore_integrality and v_to.is_integer():
v_to.set_value(var_val, skip_validation=True)
elif v_to.is_integer() and (fabs(var_val - rounded_val) <=
config.integer_tolerance):
v_to.set_value(rounded_val, skip_validation=True)
elif abs(var_val) <= config.zero_tolerance and 0 in v_to.domain:
v_to.set_value(0, skip_validation=True)
else:
config.logger.error(
'Unknown validation domain error setting variable %s', (v_to.name,))
raise
def handle_master_mip_optimal(master_mip, solve_data, config):
"""
This function copies the result from 'solve_OA_master' to the working model and updates the upper/lower bound. This
function is called after an optimal solution is found for the master problem.
Parameters
----------
master_mip: Pyomo model
the MIP master problem
solve_data: MindtPy Data Container
data container that holds solve-instance data
config: ConfigBlock
contains the specific configurations for the algorithm
"""
# proceed. Just need integer values
MindtPy = master_mip.MindtPy_utils
main_objective = next(
master_mip.component_data_objects(Objective, active=True))
# check if the value of binary variable is valid
for var in MindtPy.variable_list:
if var.value is None and var.is_integer():
config.logger.warning(
"Integer variable {} not initialized. It is set to it's lower bound"
.format(var.name))
var.value = var.lb # nlp_var.bounds[0]
# warm start for the nlp subproblem
copy_var_list_values(master_mip.MindtPy_utils.variable_list,
solve_data.working_model.MindtPy_utils.variable_list,
config)
if main_objective.sense == minimize:
solve_data.LB = max(value(MindtPy.MindtPy_oa_obj.expr), solve_data.LB)
solve_data.LB_progress.append(solve_data.LB)
else:
solve_data.UB = min(value(MindtPy.MindtPy_oa_obj.expr), solve_data.UB)
solve_data.UB_progress.append(solve_data.UB)
config.logger.info(
'MIP %s: OBJ: %s LB: %s UB: %s' %
(solve_data.mip_iter, value(
MindtPy.MindtPy_oa_obj.expr), solve_data.LB, solve_data.UB))
def get_capacity_constraint(backend_model,
parameter,
loc_tech,
_equals=None,
_max=None,
_min=None,
scale=None):
decision_variable = getattr(backend_model, parameter)
if not _equals:
_equals = get_param(backend_model, parameter + '_equals', loc_tech)
if not _max:
_max = get_param(backend_model, parameter + '_max', loc_tech)
if not _min:
_min = get_param(backend_model, parameter + '_min', loc_tech)
if po.value(_equals) is not False and po.value(_equals) is not None:
if np.isinf(po.value(_equals)):
e = exceptions.ModelError
raise e('Cannot use inf for {}_equals for loc:tech `{}`'.format(
parameter, loc_tech))
if scale:
_equals *= scale
return decision_variable[loc_tech] == _equals
else:
if np.isinf(po.value(_max)):
_max = None # to disable upper bound
if po.value(_min) == 0 and po.value(_max) is None:
return po.Constraint.NoConstraint
else:
if scale:
_max *= scale
_min *= scale
return (_min, decision_variable[loc_tech], _max)
def _estimate_M(self, expr, name):
# Calculate a best guess at M
repn = generate_standard_repn(expr, quadratic=False)
M = [0, 0]
if not repn.is_nonlinear():
if repn.constant is not None:
for i in (0, 1):
if M[i] is not None:
M[i] += repn.constant
for i, coef in enumerate(repn.linear_coefs or []):
var = repn.linear_vars[i]
bounds = (value(var.lb), value(var.ub))
for i in (0, 1):
# reverse the bounds if the coefficient is negative
if coef > 0:
j = i
else:
j = 1 - i
if bounds[i] is not None:
M[j] += value(bounds[i]) * coef
else:
raise GDP_Error(
"Cannot estimate M for "
"expressions with unbounded variables."
"\n\t(found unbounded var %s while processing "
"constraint %s)" % (var.name, name))
else:
# expression is nonlinear. Try using `contrib.fbbt` to estimate.
expr_lb, expr_ub = compute_bounds_on_expr(expr)
if expr_lb is None or expr_ub is None:
raise GDP_Error("Cannot estimate M for unbounded nonlinear "
"expressions.\n\t(found while processing "
"constraint %s)" % name)
else:
M = (expr_lb, expr_ub)
return tuple(M)
def copy_var_list_values(from_list, to_list, config,
skip_stale=False, skip_fixed=True,
ignore_integrality=False):
"""Copy variable values from one list to another.
Rounds to Binary/Integer if neccessary
Sets to zero for NonNegativeReals if neccessary
"""
for v_from, v_to in zip(from_list, to_list):
if skip_stale and v_from.stale:
continue # Skip stale variable values.
if skip_fixed and v_to.is_fixed():
continue # Skip fixed variables.
try:
v_to.set_value(value(v_from, exception=False))
if skip_stale:
v_to.stale = False
except ValueError as err:
err_msg = getattr(err, 'message', str(err))
var_val = value(v_from)
rounded_val = int(round(var_val))
# Check to see if this is just a tolerance issue
if ignore_integrality \
and ('is not in domain Binary' in err_msg
or 'is not in domain Integers' in err_msg):
v_to.value = value(v_from, exception=False)
elif 'is not in domain Binary' in err_msg and (
fabs(var_val - 1) <= config.integer_tolerance or
fabs(var_val) <= config.integer_tolerance):
v_to.set_value(rounded_val)
# TODO What about PositiveIntegers etc?
elif 'is not in domain Integers' in err_msg and (
fabs(var_val - rounded_val) <= config.integer_tolerance):
v_to.set_value(rounded_val)
# Value is zero, but shows up as slightly less than zero.
elif 'is not in domain NonNegativeReals' in err_msg and (
fabs(var_val) <= config.zero_tolerance):
v_to.set_value(0)
else:
raise
def _add_vars(self, var_seq):
if not var_seq:
return
var_num = self._solver_model.getnumvar()
vnames = tuple(
self._symbol_map.getSymbol(v, self._labeler) for v in var_seq)
vtypes = tuple(map(self._mosek_vartype_from_var, var_seq))
lbs = tuple(
value(v) if v.fixed else -inf if value(v.lb) is None else value(v.
lb)
for v in var_seq)
ubs = tuple(
value(v) if v.fixed else inf if value(v.ub) is None else value(v.ub
)
for v in var_seq)
fxs = tuple(v.is_fixed() for v in var_seq)
bound_types = tuple(map(self._mosek_bounds, lbs, ubs, fxs))
self._solver_model.appendvars(len(var_seq))
var_ids = range(var_num, var_num + len(var_seq))
_vnames = tuple(map(self._solver_model.putvarname, var_ids, vnames))
self._solver_model.putvartypelist(var_ids, vtypes)
self._solver_model.putvarboundlist(var_ids, bound_types, lbs, ubs)
self._pyomo_var_to_solver_var_map.update(zip(var_seq, var_ids))
self._solver_var_to_pyomo_var_map.update(zip(var_ids, var_seq))
self._referenced_variables.update(zip(var_seq, [0] * len(var_seq)))
def update_vars(self, *solver_vars):
"""
Update multiple scalar variables in solver model. This method allows fixing/unfixing,
changing variable types and bounds.
Parameters
----------
*solver_var: Constraint (scalar Constraint or single _ConstraintData)
"""
try:
var_ids = []
for v in solver_vars:
var_ids.append(self._pyomo_var_to_solver_var_map[v])
vtypes = tuple(map(self._mosek_vartype_from_var, solver_vars))
lbs = tuple(
value(v) if v.fixed else
-float('inf') if value(v.lb) is None else value(v.lb)
for v in solver_vars)
ubs = tuple(
value(v) if v.
fixed else float('inf') if value(v.ub) is None else value(v.ub)
for v in solver_vars)
fxs = tuple(v.is_fixed() for v in solver_vars)
bound_types = tuple(map(self._mosek_bounds, lbs, ubs, fxs))
self._solver_model.putvartypelist(var_ids, vtypes)
self._solver_model.putvarboundlist(var_ids, bound_types, lbs, ubs)
except KeyError:
print(v.name)
v_name = self._symbol_map.getSymbol(v, self._labeler)
raise ValueError(
"Variable {} needs to be added before it can be modified.".
format(v_name))
def _add_node(u, stage, succ, pred):
if node_name_attribute is not None:
if node_name_attribute not in tree.node[u]:
raise KeyError(
"node '%s' missing name attribute: '%s'"
% (u, node_name_attribute))
node_name = tree.node[u][node_name_attribute]
else:
node_name = u
m.NodeStage[node_name] = m.Stages[stage]
if u == root:
m.ConditionalProbability[node_name] = 1.0
else:
assert u in pred
# prior to networkx ~2.0, we used a .edge attribute on DiGraph,
# which no longer exists.
if hasattr(tree, 'edge'):
edge = tree.edge[pred[u]][u]
else:
edge = tree.edges[pred[u],u]
probability = None
if edge_probability_attribute is not None:
if edge_probability_attribute not in edge:
raise KeyError(
"edge '(%s, %s)' missing probability attribute: '%s'"
% (pred[u], u, edge_probability_attribute))
probability = edge[edge_probability_attribute]
else:
probability = 1.0/len(succ[pred[u]])
m.ConditionalProbability[node_name] = probability
if u in succ:
child_names = []
for v in succ[u]:
child_names.append(
_add_node(v, stage+1, succ, pred))
total_probability = 0.0
for child_name in child_names:
m.Children[node_name].add(child_name)
total_probability += \
value(m.ConditionalProbability[child_name])
if abs(total_probability - 1.0) > 1e-5:
raise ValueError(
"edge probabilities leaving node '%s' "
"do not sum to 1 (total=%r)"
% (u, total_probability))
else:
# a leaf node
scenario_name = node_to_scenario[u]
m.ScenarioLeafNode[scenario_name] = node_name
m.Children[node_name].clear()
return node_name
def exitNode(self, node, values):
node = super().exitNode(node, values)
if node.__class__ is not EXPR.ExternalFunctionExpression:
return node
if id(node._fcn) not in self.efSet:
return node
# At this point we know this is an ExternalFunctionExpression
# node that we want to replace with an auliliary variable (y)
new_args = []
seen = ComponentSet()
# TODO: support more than PythonCallbackFunctions
assert isinstance(node._fcn, PythonCallbackFunction)
#
# Note: the first argument to PythonCallbackFunction is the
# function ID. Since we are going to complain about constant
# parameters, we need to skip the first argument when processing
# the argument list. This is really not good: we should allow
# for constant arguments to the functions, and we should relax
# the restriction that the external functions implement the
# PythonCallbackFunction API (that restriction leads unfortunate
# things later; i.e., accessing the private _fcn attribute
# below).
for arg in values[1][1:]:
if type(arg) in nonpyomo_leaf_types or arg.is_fixed():
# We currently do not allow constants or parameters for
# the external functions.
raise RuntimeError(
"TrustRegion does not support black boxes with "
"constant or parameter inputs\n\tExpression: %s" %
(node, ))
if arg.is_expression_type():
# All expressions (including simple linear expressions)
# are replaced with a single auxiliary variable (and
# eventually an additional constraint equating the
# auxiliary variable to the original expression)
_x = self.trf.x.add()
_x.set_value(value(arg))
self.trf.conset.add(_x == arg)
new_args.append(_x)
else:
# The only thing left is bare variables: check for duplicates.
if arg in seen:
raise RuntimeError(
"TrustRegion does not support black boxes with "
"duplicate input arguments\n\tExpression: %s" %
(node, ))
seen.add(arg)
new_args.append(arg)
_y = self.trf.y.add()
self.trf.external_fcns.append(node)
self.trf.exfn_xvars.append(new_args)
return _y
def handle_lazy_subproblem_infeasible(self, fixed_nlp, solve_data, config,
opt):
"""Solves feasibility NLP subproblem and adds cuts according to the specified strategy.
Parameters
----------
fixed_nlp : Pyomo model
Integer-variable-fixed NLP model.
solve_data : MindtPySolveData
Data container that holds solve-instance data.
config : ConfigBlock
The specific configurations for MindtPy.
opt : SolverFactory
The cplex_persistent solver.
"""
# TODO try something else? Reinitialize with different initial
# value?
config.logger.info('NLP subproblem was locally infeasible.')
solve_data.nlp_infeasible_counter += 1
if config.calculate_dual:
for c in fixed_nlp.MindtPy_utils.constraint_list:
rhs = ((0 if c.upper is None else c.upper) +
(0 if c.lower is None else c.lower))
sign_adjust = 1 if c.upper is None else -1
fixed_nlp.dual[c] = (sign_adjust *
max(0, sign_adjust *
(rhs - value(c.body))))
dual_values = list(
fixed_nlp.dual[c]
for c in fixed_nlp.MindtPy_utils.constraint_list)
else:
dual_values = None
config.logger.info('Solving feasibility problem')
feas_subproblem, feas_subproblem_results = solve_feasibility_subproblem(
solve_data, config)
# In OA algorithm, OA cuts are generated based on the solution of the subproblem
# We need to first copy the value of variables from the subproblem and then add cuts
copy_var_list_values(feas_subproblem.MindtPy_utils.variable_list,
solve_data.mip.MindtPy_utils.variable_list,
config)
if config.strategy == 'OA':
self.add_lazy_oa_cuts(solve_data.mip, dual_values, solve_data,
config, opt)
if config.add_regularization is not None:
add_oa_cuts(solve_data.mip, dual_values, solve_data, config)
elif config.strategy == 'GOA':
self.add_lazy_affine_cuts(solve_data, config, opt)
if config.add_no_good_cuts:
var_values = list(v.value
for v in fixed_nlp.MindtPy_utils.variable_list)
self.add_lazy_no_good_cuts(var_values, solve_data, config, opt)
def test_integer_arithmetic_non1_coefficients(self):
m = ConcreteModel()
m.x = Var(bounds=(0,9))
m.y = Var(bounds=(-5, 5))
m.c1 = Constraint(expr=4*m.x + m.y >= 4)
m.c2 = Constraint(expr=m.y >= 2*m.x)
fme = TransformationFactory('contrib.fourier_motzkin_elimination')
fme.apply_to( m, vars_to_eliminate=m.x,
constraint_filtering_callback=None,
do_integer_arithmetic=True, verbose=True)
constraints = m._pyomo_contrib_fme_transformation.projected_constraints
self.assertEqual(len(constraints), 3)
cons = constraints[3]
self.assertEqual(value(cons.lower), -32)
self.assertIs(cons.body, m.y)
self.assertIsNone(cons.upper)
cons = constraints[2]
self.assertEqual(value(cons.lower), 0)
self.assertIsNone(cons.upper)
repn = generate_standard_repn(cons.body)
self.assertTrue(repn.is_linear())
self.assertEqual(len(repn.linear_coefs), 1)
self.assertIs(repn.linear_vars[0], m.y)
self.assertEqual(repn.linear_coefs[0], 2)
cons = constraints[1]
self.assertEqual(value(cons.lower), 4)
self.assertIsNone(cons.upper)
repn = generate_standard_repn(cons.body)
self.assertTrue(repn.is_linear())
self.assertEqual(len(repn.linear_coefs), 1)
self.assertIs(repn.linear_vars[0], m.y)
self.assertEqual(repn.linear_coefs[0], 3)
def solve_GLOA_master(solve_data, config):
"""Solve the rigorous outer approximation master problem."""
m = solve_data.linear_GDP.clone()
GDPopt = m.GDPopt_utils
solve_data.mip_iteration += 1
mip_results = solve_linear_GDP(m, solve_data, config)
if mip_results:
if GDPopt.objective.sense == minimize:
solve_data.LB = max(value(GDPopt.objective.expr), solve_data.LB)
else:
solve_data.UB = min(value(GDPopt.objective.expr), solve_data.UB)
solve_data.iteration_log[(solve_data.master_iteration,
solve_data.mip_iteration,
solve_data.nlp_iteration)] = (
value(GDPopt.objective.expr),
value(GDPopt.objective.expr),
mip_results[1] # mip_var_values
)
config.logger.info(
'ITER %s.%s.%s-MIP: OBJ: %s LB: %s UB: %s' %
(solve_data.master_iteration, solve_data.mip_iteration,
solve_data.nlp_iteration, value(
GDPopt.objective.expr), solve_data.LB, solve_data.UB))
else:
# Master problem was infeasible.
if solve_data.master_iteration == 1:
config.logger.warning(
'GDPopt initialization may have generated poor '
'quality cuts.')
# set optimistic bound to infinity
if GDPopt.objective.sense == minimize:
solve_data.LB = float('inf')
else:
solve_data.UB = float('-inf')
# Call the MILP post-solve callback
config.master_postsolve(m, solve_data)
return mip_results
def handle_lazy_NLP_subproblem_optimal(self, fixed_nlp, solve_data, config,
opt):
"""Copies result to mip(explaination see below), updates bound, adds OA and integer cut,
stores best solution if new one is best"""
for c in fixed_nlp.tmp_duals:
if fixed_nlp.dual.get(c, None) is None:
fixed_nlp.dual[c] = fixed_nlp.tmp_duals[c]
dual_values = list(fixed_nlp.dual[c]
for c in fixed_nlp.MindtPy_utils.constraint_list)
main_objective = next(
fixed_nlp.component_data_objects(Objective, active=True))
if main_objective.sense == minimize:
solve_data.UB = min(value(main_objective.expr), solve_data.UB)
solve_data.solution_improved = solve_data.UB < solve_data.UB_progress[
-1]
solve_data.UB_progress.append(solve_data.UB)
else:
solve_data.LB = max(value(main_objective.expr), solve_data.LB)
solve_data.solution_improved = solve_data.LB > solve_data.LB_progress[
-1]
solve_data.LB_progress.append(solve_data.LB)
config.logger.info('NLP {}: OBJ: {} LB: {} UB: {}'.format(
solve_data.nlp_iter, value(main_objective.expr), solve_data.LB,
solve_data.UB))
if solve_data.solution_improved:
solve_data.best_solution_found = fixed_nlp.clone()
if config.strategy == 'OA':
# In OA algorithm, OA cuts are generated based on the solution of the subproblem
# We need to first copy the value of variables from the subproblem and then add cuts
# since value(constr.body), value(jacs[constr][var]), value(var) are used in self.add_lazy_oa_cuts()
copy_var_list_values(fixed_nlp.MindtPy_utils.variable_list,
solve_data.mip.MindtPy_utils.variable_list,
config)
self.add_lazy_oa_cuts(solve_data.mip, dual_values, solve_data,
config, opt)
def updateSurrogateModel(self):
"""
The parameters needed for the surrogate model are the values of:
b(w_k) : basis_model_output
d(w_k) : truth_model_output
grad b(w_k) : grad_basis_model_output
grad d(w_k) : grad_truth_model_output
"""
b = self.data
for i, y in b.ef_outputs.items():
b.basis_model_output[i] = value(b.basis_expressions[y])
b.truth_model_output[i] = value(b.truth_models[y])
# Basis functions are Pyomo expressions (in theory)
gradBasis = differentiate(b.basis_expressions[y],
wrt_list=b.ef_inputs[i])
# These, however, are external functions
gradTruth = differentiate(b.truth_models[y],
wrt_list=b.ef_inputs[i])
for j, w in enumerate(b.ef_inputs[i]):
b.grad_basis_model_output[i, j] = gradBasis[j]
b.grad_truth_model_output[i, j] = gradTruth[j]
b.value_of_ef_inputs[i, j] = value(w)
def init_rNLP(solve_data, config):
"""Initialize by solving the rNLP (relaxed binary variables)."""
solve_data.nlp_iter += 1
m = solve_data.working_model.clone()
config.logger.info("NLP %s: Solve relaxed integrality" %
(solve_data.nlp_iter, ))
MindtPy = m.MindtPy_utils
TransformationFactory('core.relax_integrality').apply_to(m)
with SuppressInfeasibleWarning():
results = SolverFactory(config.nlp_solver).solve(
m, **config.nlp_solver_args)
subprob_terminate_cond = results.solver.termination_condition
if subprob_terminate_cond is tc.optimal:
main_objective = next(m.component_data_objects(Objective, active=True))
nlp_solution_values = list(v.value for v in MindtPy.variable_list)
dual_values = list(m.dual[c] for c in MindtPy.constraint_list)
# Add OA cut
if main_objective.sense == minimize:
solve_data.LB = value(main_objective.expr)
else:
solve_data.UB = value(main_objective.expr)
config.logger.info('NLP %s: OBJ: %s LB: %s UB: %s' %
(solve_data.nlp_iter, value(main_objective.expr),
solve_data.LB, solve_data.UB))
if config.strategy == 'OA':
copy_var_list_values(m.MindtPy_utils.variable_list,
solve_data.mip.MindtPy_utils.variable_list,
config,
ignore_integrality=True)
add_oa_cuts(solve_data.mip, dual_values, solve_data, config)
elif subprob_terminate_cond is tc.infeasible:
# TODO fail? try something else?
config.logger.info('Initial relaxed NLP problem is infeasible. '
'Problem may be infeasible.')
else:
raise ValueError(
'MindtPy unable to handle relaxed NLP termination condition '
'of %s. Solver message: %s' %
(subprob_terminate_cond, results.solver.message))
def tear_diff_direct(self, G, tears):
"""
Returns numpy arrays of values for src and dest members
for all edges in the tears list of edge indexes.
"""
svals = []
dvals = []
edge_list = self.idx_to_edge(G)
for tear in tears:
arc = G.edges[edge_list[tear]]["arc"]
src, dest = arc.src, arc.dest
sf = arc.expanded_block.component("splitfrac")
for name, index, mem in src.iter_vars(names=True):
if src.is_extensive(name) and sf is not None:
# TODO: same as above, what if there's no splitfrac
svals.append(value(mem * sf))
else:
svals.append(value(mem))
dvals.append(value(self.source_dest_peer(arc, name, index)))
svals = numpy.array(svals)
dvals = numpy.array(dvals)
return svals, dvals
def test_unbalanced(self):
G = networkx.DiGraph()
G.add_node("R")
G.add_node("0")
G.add_node("1")
G.add_edge("R", "0")
G.add_edge("R", "1")
G.add_node("00")
G.add_node("01")
G.add_edge("0", "00")
G.add_edge("0", "01")
model = ScenarioTreeModelFromNetworkX(G,
edge_probability_attribute=None)
self.assertEqual(sorted(list(model.Stages)),
sorted(["Stage1", "Stage2", "Stage3"]))
self.assertEqual(sorted(list(model.Nodes)),
sorted(["R", "0", "1", "00", "01"]))
self.assertEqual(sorted(list(model.Children["R"])), sorted(["0", "1"]))
self.assertEqual(sorted(list(model.Children["0"])),
sorted(["00", "01"]))
self.assertEqual(sorted(list(model.Children["1"])), sorted([]))
self.assertEqual(sorted(list(model.Children["00"])), sorted([]))
self.assertEqual(sorted(list(model.Children["01"])), sorted([]))
self.assertEqual(sorted(list(model.Scenarios)),
sorted(["00", "01", "1"]))
self.assertEqual(value(model.ConditionalProbability["R"]), 1.0)
self.assertEqual(value(model.ConditionalProbability["0"]), 0.5)
self.assertEqual(value(model.ConditionalProbability["1"]), 0.5)
self.assertEqual(value(model.ConditionalProbability["00"]), 0.5)
self.assertEqual(value(model.ConditionalProbability["01"]), 0.5)
model.StageCost["Stage1"] = "c1"
model.StageCost["Stage2"] = "c2"
model.StageCost["Stage3"] = "c3"
model.StageVariables["Stage1"].add("x")
model.StageVariables["Stage2"].add("x")
self.assertEqual(model.Bundling.value, False)
self.assertEqual(list(model.Bundles), [])
self.assertEqual(len(model.BundleScenarios), 0)
ScenarioTree(scenariotreeinstance=model)
def update_subproblem_progress_indicators(solved_model, solve_data, config):
"""Update the progress indicators for the subproblem."""
GDPopt = solved_model.GDPopt_utils
objective = next(solved_model.component_data_objects(Objective, active=True))
if objective.sense == minimize:
old_UB = solve_data.UB
solve_data.UB = min(value(objective.expr), solve_data.UB)
solve_data.feasible_solution_improved = (solve_data.UB < old_UB)
else:
old_LB = solve_data.LB
solve_data.LB = max(value(objective.expr), solve_data.LB)
solve_data.feasible_solution_improved = (solve_data.LB > old_LB)
solve_data.iteration_log[
(solve_data.master_iteration,
solve_data.mip_iteration,
solve_data.nlp_iteration)
] = (
value(objective.expr),
value(objective.expr),
[v.value for v in GDPopt.variable_list]
)
if solve_data.feasible_solution_improved:
solve_data.best_solution_found = solved_model.clone()
improvement_tag = (
"(IMPROVED) " if solve_data.feasible_solution_improved else "")
lb_improved, ub_improved = (
("", improvement_tag)
if objective.sense == minimize
else (improvement_tag, ""))
config.logger.info(
'ITER {:d}.{:d}.{:d}-NLP: OBJ: {:.10g} LB: {:.10g} {:s} UB: {:.10g} {:s}'.format(
solve_data.master_iteration,
solve_data.mip_iteration,
solve_data.nlp_iteration,
value(objective.expr),
solve_data.LB, lb_improved,
solve_data.UB, ub_improved))
def update_subproblem_progress_indicators(solved_model, solve_data, config):
"""Update the progress indicators for the subproblem."""
GDPopt = solved_model.GDPopt_utils
objective = next(solved_model.component_data_objects(Objective, active=True))
if objective.sense == minimize:
old_UB = solve_data.UB
solve_data.UB = min(value(objective.expr), solve_data.UB)
solve_data.feasible_solution_improved = (solve_data.UB < old_UB)
else:
old_LB = solve_data.LB
solve_data.LB = max(value(objective.expr), solve_data.LB)
solve_data.feasible_solution_improved = (solve_data.LB > old_LB)
solve_data.iteration_log[
(solve_data.master_iteration,
solve_data.mip_iteration,
solve_data.nlp_iteration)
] = (
value(objective.expr),
value(objective.expr),
[v.value for v in GDPopt.variable_list]
)
if solve_data.feasible_solution_improved:
solve_data.best_solution_found = solved_model.clone()
improvement_tag = (
"(IMPROVED) " if solve_data.feasible_solution_improved else "")
lb_improved, ub_improved = (
("", improvement_tag)
if objective.sense == minimize
else (improvement_tag, ""))
config.logger.info(
'ITER {:d}.{:d}.{:d}-NLP: OBJ: {:.10g} LB: {:.10g} {:s} UB: {:.10g} {:s}'.format(
solve_data.master_iteration,
solve_data.mip_iteration,
solve_data.nlp_iteration,
value(objective.expr),
solve_data.LB, lb_improved,
solve_data.UB, ub_improved))
def back_off_constraint_with_calculated_cut_violation(cut, transBlock_rHull,
bigm_to_hull_map, opt,
stream_solver, TOL):
"""Calculates the maximum violation of cut subject to the relaxed hull
constraints. Increases this violation by TOL (to account for optimality
tolerance in solving the problem), and, if it finds that cut can be violated
up to this tolerance, makes it more conservative such that it no longer can.
Parameters
----------
cut: The cut to be made more conservative, a Constraint
transBlock_rHull: the relaxed hull model's transformation Block
bigm_to_hull_map: Dictionary mapping ids of bigM variables to the
corresponding variables on the relaxed hull instance
opt: SolverFactory object for solving the maximum violation problem
stream_solver: Whether or not to set tee=True while solving the maximum
violation problem.
TOL: An absolute tolerance to be added to the calculated cut violation,
to account for optimality tolerance in the maximum violation problem
solve.
"""
instance_rHull = transBlock_rHull.model()
logger.info("Post-processing cut: %s" % cut.expr)
# Take a constraint. We will solve a problem maximizing its violation
# subject to rHull. We will add some user-specified tolerance to that
# violation, and then add that much padding to it if it can be violated.
transBlock_rHull.separation_objective.deactivate()
transBlock_rHull.infeasibility_objective = Objective(
expr=clone_without_expression_components(cut.body,
substitute=bigm_to_hull_map))
results = opt.solve(instance_rHull, tee=stream_solver)
if verify_successful_solve(results) is not NORMAL:
logger.warning("Problem to determine how much to "
"back off the new cut "
"did not solve normally. Leaving the constraint as is, "
"which could lead to numerical trouble%s" % (results,))
# restore the objective
transBlock_rHull.del_component(transBlock_rHull.infeasibility_objective)
transBlock_rHull.separation_objective.activate()
return
# we're minimizing, val is <= 0
val = value(transBlock_rHull.infeasibility_objective) - TOL
if val <= 0:
logger.info("\tBacking off cut by %s" % val)
cut._body += abs(val)
# else there is nothing to do: restore the objective
transBlock_rHull.del_component(transBlock_rHull.infeasibility_objective)
transBlock_rHull.separation_objective.activate()
def visit(self, node, values):
if node.__class__ is not EXPR.ExternalFunctionExpression:
return node
if id(node._fcn) not in self.efSet:
return node
# At this point we know this is an ExternalFunctionExpression
# node that we want to replace with an auliliary variable (y)
new_args = []
seen = ComponentSet()
# TODO: support more than PythonCallbackFunctions
assert isinstance(node._fcn, PythonCallbackFunction)
#
# Note: the first argument to PythonCallbackFunction is the
# function ID. Since we are going to complain about constant
# parameters, we need to skip the first argument when processing
# the argument list. This is really not good: we should allow
# for constant arguments to the functions, and we should relax
# the restriction that the external functions implement the
# PythonCallbackFunction API (that restriction leads unfortunate
# things later; i.e., accessing the private _fcn attribute
# below).
for arg in list(values)[1:]:
if type(arg) in nonpyomo_leaf_types or arg.is_fixed():
# We currently do not allow constants or parameters for
# the external functions.
raise RuntimeError(
"TrustRegion does not support black boxes with "
"constant or parameter inputs\n\tExpression: %s"
% (node,) )
if arg.is_expression_type():
# All expressions (including simple linear expressions)
# are replaced with a single auxiliary variable (and
# eventually an additional constraint equating the
# auxiliary variable to the original expression)
_x = self.trf.x.add()
_x.set_value( value(arg) )
self.trf.conset.add(_x == arg)
new_args.append(_x)
else:
# The only thing left is bare variables: check for duplicates.
if arg in seen:
raise RuntimeError(
"TrustRegion does not support black boxes with "
"duplicate input arguments\n\tExpression: %s"
% (node,) )
seen.add(arg)
new_args.append(arg)
_y = self.trf.y.add()
self.trf.external_fcns.append(node)
self.trf.exfn_xvars.append(new_args)
return _y
def resource_area_constraint_rule(backend_model, loc_tech):
"""
Set upper and lower bounds for resource_area.
The first valid case is applied:
.. container:: scrolling-wrapper
.. math::
\\boldsymbol{resource_{area}}(loc::tech)
\\begin{cases}
= resource_{area, equals}(loc::tech),& \\text{if } resource_{area, equals}(loc::tech)\\\\
\\leq resource_{area, max}(loc::tech),& \\text{if } resource_{area, max}(loc::tech)\\\\
\\text{unconstrained},& \\text{otherwise}
\\end{cases}
\\forall loc::tech \\in loc::techs_{area}
and (if ``equals`` not enforced):
.. container:: scrolling-wrapper
.. math::
\\boldsymbol{resource_{area}}(loc::tech) \\geq resource_{area, min}(loc::tech)
\\quad \\forall loc::tech \\in loc::techs_{area}
"""
energy_cap_max = get_param(backend_model, 'energy_cap_max', loc_tech)
area_per_energy_cap = get_param(backend_model,
'resource_area_per_energy_cap', loc_tech)
if po.value(energy_cap_max) == 0 and not po.value(area_per_energy_cap):
# If a technology has no energy_cap here, we force resource_area to zero,
# so as not to accrue spurious costs
return backend_model.resource_area[loc_tech] == 0
else:
return get_capacity_constraint(backend_model, 'resource_area',
loc_tech)
def handle_main_optimal(main_mip, solve_data, config, update_bound=True):
"""This function copies the results from 'solve_main' to the working model and updates
the upper/lower bound. This function is called after an optimal solution is found for
the main problem.
Parameters
----------
main_mip : Pyomo model
The MIP main problem.
solve_data : MindtPySolveData
Data container that holds solve-instance data.
config : ConfigBlock
The specific configurations for MindtPy.
update_bound : bool, optional
Whether to update the bound, by default True.
Bound will not be updated when handling regularization problem.
"""
# proceed. Just need integer values
MindtPy = main_mip.MindtPy_utils
# check if the value of binary variable is valid
for var in MindtPy.discrete_variable_list:
if var.value is None:
config.logger.warning(
f"Integer variable {var.name} not initialized. "
"Setting it to its lower bound")
var.set_value(var.lb, skip_validation=True) # nlp_var.bounds[0]
# warm start for the nlp subproblem
copy_var_list_values(main_mip.MindtPy_utils.variable_list,
solve_data.working_model.MindtPy_utils.variable_list,
config)
if update_bound:
update_dual_bound(solve_data, value(MindtPy.mip_obj.expr))
config.logger.info(
solve_data.log_formatter.format(
solve_data.mip_iter, 'MILP', value(MindtPy.mip_obj.expr),
solve_data.LB, solve_data.UB, solve_data.rel_gap,
get_main_elapsed_time(solve_data.timing)))
def beforeChild(self, node, child):
if type(child) in nonpyomo_leaf_types:
# This means the child is POD
# i.e., int, float, string
return False, str(child)
elif child.is_variable_type():
return False, str(self.variable_label_map.getSymbol(child))
elif child.is_parameter_type():
return False, str(value(child))
elif not child.is_expression_type():
return False, str(child)
else:
# this is an expression node
return True, ""
def beforeChild(self, node, child):
if type(child) in nonpyomo_leaf_types:
# This means the child is POD
# i.e., int, float, string
return False, str(child)
elif child.is_variable_type():
return False, str(self.variable_label_map.getSymbol(child))
elif child.is_parameter_type():
return False, str(value(child))
elif not child.is_expression_type():
return False, str(child)
else:
# this is an expression node
return True, ""
def beforeChild(self, node, child, child_idx):
if type(child) in nonpyomo_leaf_types:
# This means the child is POD
# i.e., int, float, string
return False, str(child)
elif child.is_expression_type():
return True, ""
elif child.is_numeric_type():
if child.is_fixed():
return False, str(value(child))
else:
return False, str(self.variable_label_map.getSymbol(child))
else:
return False, str(child)
def copy_var_list_values(from_list, to_list, config, skip_stale=False):
"""Copy variable values from one list to another."""
for v_from, v_to in zip(from_list, to_list):
if skip_stale and v_from.stale:
continue # Skip stale variable values.
try:
v_to.set_value(value(v_from, exception=False))
if skip_stale:
v_to.stale = False
except ValueError as err:
err_msg = getattr(err, 'message', str(err))
var_val = value(v_from)
rounded_val = round(var_val)
# Check to see if this is just a tolerance issue
if 'is not in domain Binary' in err_msg and (
fabs(var_val - 1) <= config.integer_tolerance
or fabs(var_val) <= config.integer_tolerance):
v_to.set_value(rounded_val)
elif 'is not in domain Integers' in err_msg and (
fabs(var_val - rounded_val) <= config.integer_tolerance):
v_to.set_value(rounded_val)
else:
raise
def test_combine_three_inequalities_and_flatten_blocks(self):
m = ConcreteModel()
m.x = Var()
m.y = Var()
m.b = Block()
m.b.c = Constraint(expr=m.x >= 2)
m.c = Constraint(expr=m.y <= m.x)
m.b.b2 = Block()
m.b.b2.c = Constraint(expr=m.y >= 4)
TransformationFactory('contrib.fourier_motzkin_elimination').apply_to(
m, vars_to_eliminate=m.y)
constraints = m._pyomo_contrib_fme_transformation.projected_constraints
self.assertEqual(len(constraints), 2)
cons = constraints[1]
self.assertEqual(value(cons.lower), 2)
self.assertIsNone(cons.upper)
self.assertIs(cons.body, m.x)
cons = constraints[2]
self.assertEqual(value(cons.lower), 4)
self.assertIsNone(cons.upper)
self.assertIs(cons.body, m.x)
def generate_first_x(self, G, tears):
edge_list = self.idx_to_edge(G)
x = []
for tear in tears:
arc = G.edges[edge_list[tear]]["arc"]
for name, mem in arc.src.iter_vars(names=True):
try:
index = mem.index()
except AttributeError:
index = None
peer = self.source_dest_peer(arc, name, index)
x.append(value(peer))
x = numpy.array(x)
return x
def init_rNLP(solve_data, config):
"""Initialize by solving the rNLP (relaxed binary variables)."""
solve_data.nlp_iter += 1
m = solve_data.working_model.clone()
config.logger.info(
"NLP %s: Solve relaxed integrality" % (solve_data.nlp_iter,))
MindtPy = m.MindtPy_utils
TransformationFactory('core.relax_integrality').apply_to(m)
with SuppressInfeasibleWarning():
results = SolverFactory(config.nlp_solver).solve(
m, **config.nlp_solver_args)
subprob_terminate_cond = results.solver.termination_condition
if subprob_terminate_cond is tc.optimal:
main_objective = next(m.component_data_objects(Objective, active=True))
nlp_solution_values = list(v.value for v in MindtPy.variable_list)
dual_values = list(m.dual[c] for c in MindtPy.constraint_list)
# Add OA cut
if main_objective.sense == minimize:
solve_data.LB = value(main_objective.expr)
else:
solve_data.UB = value(main_objective.expr)
config.logger.info(
'NLP %s: OBJ: %s LB: %s UB: %s'
% (solve_data.nlp_iter, value(main_objective.expr),
solve_data.LB, solve_data.UB))
if config.strategy == 'OA':
add_oa_cut(nlp_solution_values, dual_values, solve_data, config)
elif subprob_terminate_cond is tc.infeasible:
# TODO fail? try something else?
config.logger.info(
'Initial relaxed NLP problem is infeasible. '
'Problem may be infeasible.')
else:
raise ValueError(
'MindtPy unable to handle relaxed NLP termination condition '
'of %s. Solver message: %s' %
(subprob_terminate_cond, results.solver.message))
def detect_effectively_discrete_vars(block, equality_tolerance):
"""Detect effectively discrete variables.
These continuous variables are the sum of discrete variables.
"""
# Map of effectively_discrete var --> inducing constraints
effectively_discrete = ComponentMap()
for constr in block.component_data_objects(Constraint, active=True):
if constr.lower is None or constr.upper is None:
continue # skip inequality constraints
if fabs(value(constr.lower) -
value(constr.upper)) > equality_tolerance:
continue # not equality constriant. Skip.
if constr.body.polynomial_degree() not in (1, 0):
continue # skip nonlinear expressions
repn = generate_standard_repn(constr.body)
if len(repn.linear_vars) < 2:
# TODO should this be < 2 or < 1?
# TODO we should make sure that trivial equality relations are
# preprocessed before this, or we will end up reformulating
# expressions that we do not need to here.
continue
non_discrete_vars = list(v for v in repn.linear_vars
if v.is_continuous())
if len(non_discrete_vars) == 1:
# We know that this is an effectively discrete continuous
# variable. Add it to our identified variable list.
var = non_discrete_vars[0]
inducing_constraints = effectively_discrete.get(var, [])
inducing_constraints.append(constr)
effectively_discrete[var] = inducing_constraints
# TODO we should eventually also look at cases where all other
# non_discrete_vars are effectively_discrete_vars
return effectively_discrete
def _get_cone_data(self, con):
cone_type, cone_param, cone_members = None, 0, None
if isinstance(con, quadratic):
cone_type = self._mosek.conetype.quad
cone_members = [con.r] + list(con.x)
elif isinstance(con, rotated_quadratic):
cone_type = self._mosek.conetype.rquad
cone_members = [con.r1, con.r2] + list(con.x)
elif self._version[0] >= 9:
if isinstance(con, primal_exponential):
cone_type = self._mosek.conetype.pexp
cone_members = [con.r, con.x1, con.x2]
elif isinstance(con, primal_power):
cone_type = self._mosek.conetype.ppow
cone_param = value(con.alpha)
cone_members = [con.r1, con.r2] + list(con.x)
elif isinstance(con, dual_exponential):
cone_type = self._mosek.conetype.dexp
cone_members = [con.r, con.x1, con.x2]
elif isinstance(con, dual_power):
cone_type = self._mosek.conetype.dpow
cone_param = value(con.alpha)
cone_members = [con.r1, con.r2] + list(con.x)
return (cone_type, cone_param, ComponentSet(cone_members))
def storage_capacity_max_purchase_constraint_rule(backend_model, loc_tech):
"""
Set maximum storage capacity, by either storage_cap_max.equals or a combination
of energy_cap_max/equals and charge_rate.
The first valid case is applied:
.. container:: scrolling-wrapper
.. math::
\\boldsymbol{storage_{cap}}(loc::tech)
\\begin{cases}
= storage_{cap, equals}(loc::tech) \\times \\boldsymbol{purchased},&
\\text{if } storage_{cap, equals} \\\\
= \\frac{energy_{cap, equals}(loc::tech)}{charge\_rate} \\times
\\boldsymbol{purchased} \\times energy_{cap, scale},&
\\text{if } energy_{cap, equals}(loc::tech) \\text{ and }
\\text{ and } charge_{rate}(loc::tech)\\\\
\\leq storage_{cap, max}(loc::tech) \\times \\boldsymbol{purchased},&
\\text{if } storage_{cap, max}(loc::tech)\\\\
\\leq \\frac{energy_{cap, max}(loc::tech)}{charge\_rate}
\\times \\boldsymbol{purchased} \\times energy_{cap, scale},&
\\text{if } energy_{cap, max}(loc::tech) \\text{ and }
charge_{rate}(loc::tech)\\\\
\\text{unconstrained},& \\text{otherwise}
\\end{cases}
\\forall loc::tech \\in loc::techs_{purchase, store}
"""
energy_cap_max = get_param(backend_model, 'energy_cap_max', loc_tech)
energy_cap_equals = get_param(backend_model, 'energy_cap_equals', loc_tech)
energy_cap_scale = get_param(backend_model, 'energy_cap_scale', loc_tech)
storage_cap_max = get_param(backend_model, 'storage_cap_max', loc_tech)
storage_cap_equals = get_param(backend_model, 'storage_cap_equals',
loc_tech)
charge_rate = get_param(backend_model, 'charge_rate', loc_tech)
if po.value(storage_cap_equals):
return backend_model.storage_cap[loc_tech] == (
storage_cap_equals * backend_model.purchased[loc_tech])
elif po.value(energy_cap_equals) and po.value(charge_rate):
return backend_model.storage_cap[loc_tech] == (
(energy_cap_equals / charge_rate) * energy_cap_scale *
backend_model.purchased[loc_tech])
elif po.value(storage_cap_max):
return backend_model.storage_cap[loc_tech] <= (
storage_cap_max * backend_model.purchased[loc_tech])
elif po.value(energy_cap_max) and po.value(charge_rate):
return backend_model.storage_cap[loc_tech] <= (
(energy_cap_max / charge_rate) * energy_cap_scale *
backend_model.purchased[loc_tech])
else:
return po.Constraint.Skip
