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"""A constraint to allow flows from to a storage based on the storage level. |
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SPDX-FileCopyrightText: Patrik Schönfeldt |
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SPDX-FileCopyrightText: Johannes Kochems |
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SPDX-FileCopyrightText: Deutsches Zentrum für Luft- und Raumfahrt (DLR) |
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SPDX-License-Identifier: MIT |
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""" |
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from pyomo import environ as po |
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def storage_level_constraint( |
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model, |
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name, |
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storage_component, |
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multiplexer_bus, |
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input_levels, |
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output_levels, |
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): |
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r""" |
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Add constraints to implement storage content based access. |
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As a GenericStorage just allows exactly one input and one output, |
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an additional bus, the multiplexer_bus, is used for the connections. |
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Note that all Flow objects connected to the multiplexer_bus have to have |
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a nominal_capacity. |
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Parameters |
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---------- |
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model : oemof.solph.Model |
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Model to which the constraint is added. |
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name : string |
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Name of the multiplexer. |
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storage_component : oemof.solph.components.GenericStorage |
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Storage component whose content should mandate |
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the possible inputs and outputs. |
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multiplexer_bus : oemof.solph.Bus |
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Bus which connects the input and output levels to the storage. |
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input_levels : dictionary with oemof.solph.Bus as keys and float as values |
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Dictionary of buses which act as inputs and corresponding levels |
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output_levels : dictionary with oemof.solph.Bus as keys and float as values |
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Dictionary of buses which act as outputs and corresponding level |
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Verbose description can be found in https://arxiv.org/abs/2211.14080 |
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""" |
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def _outputs(): |
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OUTPUTS = po.Set(initialize=output_levels.keys()) |
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setattr(model, f"{name}_OUTPUTS", OUTPUTS) |
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active_output = po.Var( |
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OUTPUTS, model.TIMESTEPS, domain=po.Binary, bounds=(0, 1) |
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) |
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setattr(model, f"{name}_active_output", active_output) |
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constraint_name = f"{name}_output_active_constraint" |
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def _output_active_rule(m): |
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r""" |
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.. math:: |
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y_n \le E(t) / E_n |
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""" |
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for t in m.TIMESTEPS: |
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for o in output_levels: |
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getattr(m, constraint_name).add( |
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(o, t), |
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m.GenericStorageBlock.storage_content[ |
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storage_component, t + 1 |
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] |
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/ storage_component.nominal_storage_capacity |
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>= active_output[o, t] * output_levels[o], |
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) |
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setattr( |
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model, |
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constraint_name, |
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po.Constraint( |
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OUTPUTS, |
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model.TIMESTEPS, |
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noruleinit=True, |
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), |
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) |
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setattr( |
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model, |
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constraint_name + "build", |
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po.BuildAction(rule=_output_active_rule), |
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) |
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# Define constraints on the output flows |
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def _constraint_output_rule(m, o, t): |
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return ( |
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m.flow[multiplexer_bus, o, t] |
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/ m.flows[multiplexer_bus, o].nominal_capacity |
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<= active_output[o, t] |
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) |
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setattr( |
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model, |
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f"{name}_output_constraint", |
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po.Constraint( |
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OUTPUTS, |
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model.TIMESTEPS, |
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rule=_constraint_output_rule, |
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), |
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) |
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View Code Duplication |
def _outputs_tsam(): |
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OUTPUTS = po.Set(initialize=output_levels.keys()) |
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setattr(model, f"{name}_OUTPUTS", OUTPUTS) |
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active_output = po.Var( |
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OUTPUTS, |
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model.TIMEINDEX_TYPICAL_CLUSTER_OFFSET, |
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domain=po.Binary, |
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bounds=(0, 1), |
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) |
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setattr(model, f"{name}_active_output", active_output) |
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constraint_name = f"{name}_output_active_constraint" |
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def _output_active_rule(m): |
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r""" |
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.. math:: |
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y_n \le E(t) / E_n |
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""" |
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for p, i, g in m.TIMEINDEX_CLUSTER: |
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k = m.es.tsa_parameters[p]["order"][i] |
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t = m.get_timestep_from_tsam_timestep(p, k, g) |
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tk = m.get_timestep_from_tsam_timestep(p, k, g) |
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for o in output_levels: |
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getattr(m, constraint_name).add( |
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(o, p, i, g), |
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( |
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m.GenericStorageBlock.storage_content_intra[ |
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storage_component, p, k, g + 1 |
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] |
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+ m.GenericStorageBlock.storage_content_inter[ |
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storage_component, i |
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] |
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* (1 - storage_component.loss_rate[t]) |
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** (g * m.timeincrement[tk]) |
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) |
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/ storage_component.nominal_storage_capacity |
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>= active_output[o, p, k, g] * output_levels[o], |
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) |
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setattr( |
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model, |
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constraint_name, |
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po.Constraint( |
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OUTPUTS, |
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model.TIMEINDEX_CLUSTER, |
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noruleinit=True, |
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), |
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) |
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setattr( |
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model, |
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constraint_name + "build", |
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po.BuildAction(rule=_output_active_rule), |
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) |
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# Define constraints on the output flows |
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def _constraint_output_rule(m, o, p, k, g): |
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t = m.get_timestep_from_tsam_timestep(p, k, g) |
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return ( |
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m.flow[multiplexer_bus, o, p, t] |
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/ m.flows[multiplexer_bus, o].nominal_value |
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<= active_output[o, p, k, g] |
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) |
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setattr( |
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model, |
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f"{name}_output_constraint", |
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po.Constraint( |
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OUTPUTS, |
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model.TIMEINDEX_TYPICAL_CLUSTER, |
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rule=_constraint_output_rule, |
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), |
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) |
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if not model.TSAM_MODE: |
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_outputs() |
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else: |
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_outputs_tsam() |
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def _inputs(): |
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INPUTS = po.Set(initialize=input_levels.keys()) |
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setattr(model, f"{name}_INPUTS", INPUTS) |
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inactive_input = po.Var( |
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INPUTS, model.TIMESTEPS, domain=po.Binary, bounds=(0, 1) |
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) |
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setattr(model, f"{name}_active_input", inactive_input) |
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constraint_name = f"{name}_input_active_constraint" |
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def _input_active_rule(m): |
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r""" |
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.. math:: |
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\hat{y}_n \ge (E(t) - E_n) / E_{max} |
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""" |
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for t in m.TIMESTEPS: |
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for i in input_levels: |
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getattr(m, constraint_name).add( |
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(i, t), |
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( |
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m.GenericStorageBlock.storage_content[ |
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storage_component, t |
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] |
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/ storage_component.nominal_storage_capacity |
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- input_levels[i] |
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) |
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<= inactive_input[i, t], |
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) |
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setattr( |
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model, |
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constraint_name, |
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po.Constraint( |
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INPUTS, |
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model.TIMESTEPS, |
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noruleinit=True, |
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), |
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) |
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setattr( |
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model, |
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constraint_name + "build", |
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po.BuildAction(rule=_input_active_rule), |
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) |
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# Define constraints on the input flows |
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def _constraint_input_rule(m, i, t): |
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return ( |
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m.flow[i, multiplexer_bus, t] |
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/ m.flows[i, multiplexer_bus].nominal_capacity |
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<= 1 - inactive_input[i, t] |
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) |
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setattr( |
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model, |
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f"{name}_input_constraint", |
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po.Constraint( |
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INPUTS, |
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model.TIMESTEPS, |
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rule=_constraint_input_rule, |
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), |
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) |
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View Code Duplication |
def _inputs_tsam(): |
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INPUTS = po.Set(initialize=input_levels.keys()) |
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setattr(model, f"{name}_INPUTS", INPUTS) |
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inactive_input = po.Var( |
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INPUTS, |
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model.TIMEINDEX_TYPICAL_CLUSTER_OFFSET, |
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domain=po.Binary, |
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bounds=(0, 1), |
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) |
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setattr(model, f"{name}_active_input", inactive_input) |
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constraint_name = f"{name}_input_active_constraint" |
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def _input_active_rule(m): |
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r""" |
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.. math:: |
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\hat{y}_n \ge (E(t) - E_n) / E_{max} |
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""" |
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for p, i, g in m.TIMEINDEX_CLUSTER: |
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k = m.es.tsa_parameters[p]["order"][i] |
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t = m.get_timestep_from_tsam_timestep(p, k, g) |
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tk = m.get_timestep_from_tsam_timestep(p, k, g) |
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for inp in input_levels: |
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getattr(m, constraint_name).add( |
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(inp, p, i, g), |
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( |
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m.GenericStorageBlock.storage_content_intra[ |
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storage_component, p, k, g + 1 |
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] |
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+ m.GenericStorageBlock.storage_content_inter[ |
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storage_component, i |
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] |
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* (1 - storage_component.loss_rate[t]) |
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** (g * m.timeincrement[tk]) |
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) |
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/ storage_component.nominal_storage_capacity |
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- input_levels[inp] |
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<= inactive_input[inp, p, k, g], |
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) |
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setattr( |
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model, |
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constraint_name, |
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po.Constraint( |
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INPUTS, |
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model.TIMEINDEX_CLUSTER, |
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noruleinit=True, |
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), |
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) |
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setattr( |
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model, |
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constraint_name + "build", |
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po.BuildAction(rule=_input_active_rule), |
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) |
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# Define constraints on the input flows |
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def _constraint_input_rule(m, i, p, k, g): |
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t = m.get_timestep_from_tsam_timestep(p, k, g) |
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return ( |
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m.flow[i, multiplexer_bus, p, t] |
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/ m.flows[i, multiplexer_bus].nominal_value |
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<= 1 - inactive_input[i, p, k, g] |
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) |
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setattr( |
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model, |
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f"{name}_input_constraint", |
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po.Constraint( |
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INPUTS, |
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model.TIMEINDEX_TYPICAL_CLUSTER, |
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rule=_constraint_input_rule, |
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), |
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) |
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if not model.TSAM_MODE: |
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_inputs() |
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else: |
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_inputs_tsam() |
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