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feature/fi
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4ed13d6e95 |
@@ -2,6 +2,12 @@
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# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
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# Released under the modified BSD license. See COPYING.md for more details.
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"""
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_add_status_vars!
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Adds symbols identified by `Gar1962.StatusVars` to `model`.
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Fix variables if a certain generator _must_ run or based on initial conditions.
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"""
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function _add_status_vars!(
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model::JuMP.Model,
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g::Unit,
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@@ -10,15 +16,93 @@ function _add_status_vars!(
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is_on = _init(model, :is_on)
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switch_on = _init(model, :switch_on)
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switch_off = _init(model, :switch_off)
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FIX_VARS = !formulation_status_vars.fix_vars_via_constraint
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is_initially_on = _is_initially_on(g) > 0
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for t in 1:model[:instance].time
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if g.must_run[t]
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is_on[g.name, t] = 1.0
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switch_on[g.name, t] = (t == 1 ? 1.0 - _is_initially_on(g) : 0.0)
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switch_off[g.name, t] = 0.0
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else
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is_on[g.name, t] = @variable(model, binary = true)
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switch_on[g.name, t] = @variable(model, binary = true)
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switch_off[g.name, t] = @variable(model, binary = true)
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# Use initial conditions and whether a unit must run to fix variables
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if FIX_VARS
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# Fix variables using fix function
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if g.must_run[t]
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# If the generator _must_ run, then it is obviously on and cannot be switched off
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# In the first time period, force unit to switch on if was off before
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# Otherwise, unit is on, and will never turn off, so will never need to turn on
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fix(is_on[g.name, t], 1.0; force = true)
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fix(
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switch_on[g.name, t],
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(t == 1 ? 1.0 - _is_initially_on(g) : 0.0);
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force = true,
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)
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fix(switch_off[g.name, t], 0.0; force = true)
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elseif t == 1
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if is_initially_on
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# Generator was on (for g.initial_status time periods),
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# so cannot be more switched on until the period after the first time it can be turned off
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fix(switch_on[g.name, 1], 0.0; force = true)
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else
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# Generator is initially off (for -g.initial_status time periods)
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# Cannot be switched off more
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fix(switch_off[g.name, 1], 0.0; force = true)
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end
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end
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else
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# Add explicit constraint if !FIX_VARS
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if g.must_run[t]
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is_on[g.name, t] = 1.0
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switch_on[g.name, t] =
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(t == 1 ? 1.0 - _is_initially_on(g) : 0.0)
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switch_off[g.name, t] = 0.0
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elseif t == 1
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if is_initially_on
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switch_on[g.name, t] = 0.0
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else
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switch_off[g.name, t] = 0.0
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end
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end
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end
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# Use initial conditions and whether a unit must run to fix variables
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if FIX_VARS
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# Fix variables using fix function
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if g.must_run[t]
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# If the generator _must_ run, then it is obviously on and cannot be switched off
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# In the first time period, force unit to switch on if was off before
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# Otherwise, unit is on, and will never turn off, so will never need to turn on
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fix(is_on[g.name, t], 1.0; force = true)
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fix(
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switch_on[g.name, t],
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(t == 1 ? 1.0 - _is_initially_on(g) : 0.0);
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force = true,
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)
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fix(switch_off[g.name, t], 0.0; force = true)
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elseif t == 1
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if is_initially_on
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# Generator was on (for g.initial_status time periods),
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# so cannot be more switched on until the period after the first time it can be turned off
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fix(switch_on[g.name, 1], 0.0; force = true)
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else
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# Generator is initially off (for -g.initial_status time periods)
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# Cannot be switched off more
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fix(switch_off[g.name, 1], 0.0; force = true)
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end
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end
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else
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# Add explicit constraint if !FIX_VARS
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if g.must_run[t]
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is_on[g.name, t] = 1.0
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switch_on[g.name, t] =
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(t == 1 ? 1.0 - _is_initially_on(g) : 0.0)
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switch_off[g.name, t] = 0.0
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elseif t == 1
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if is_initially_on
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switch_on[g.name, t] = 0.0
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else
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switch_off[g.name, t] = 0.0
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end
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end
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end
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end
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return
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@@ -17,8 +17,53 @@ import ..PiecewiseLinearCostsFormulation
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import ..ProductionVarsFormulation
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import ..StatusVarsFormulation
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"""
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Variables
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---
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* `prod_above`:
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[gen, t];
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*production above minimum required level*;
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lb: 0, ub: Inf.
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KnuOstWat2020: `p'_g(t)`
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* `segprod`:
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[gen, segment, t];
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*how much generator produces on cost segment in time t*;
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lb: 0, ub: Inf.
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KnuOstWat2020: `p_g^l(t)`
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"""
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struct ProdVars <: ProductionVarsFormulation end
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struct PwlCosts <: PiecewiseLinearCostsFormulation end
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struct StatusVars <: StatusVarsFormulation end
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"""
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Variables
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---
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* `is_on`:
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[gen, t];
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*is generator on at time t?*
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lb: 0, ub: 1, binary.
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KnuOstWat2020: `u_g(t)`
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* `switch_on`:
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[gen, t];
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*indicator that generator will be turned on at t*;
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lb: 0, ub: 1, binary.
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KnuOstWat2020: `v_g(t)`
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* `switch_off`: binary;
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[gen, t];
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*indicator that generator will be turned off at t*;
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lb: 0, ub: 1, binary.
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KnuOstWat2020: `w_g(t)`
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Arguments
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---
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* `fix_vars_via_constraint`:
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indicator for whether to set vars to a constant using `fix` or by adding an explicit constraint
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(particulary useful for debugging purposes).
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"""
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struct StatusVars <: StatusVarsFormulation
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fix_vars_via_constraint::Bool
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StatusVars() = new(false)
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end
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end
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@@ -2,6 +2,15 @@
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# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
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# Released under the modified BSD license. See COPYING.md for more details.
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"""
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_add_unit!(model::JuMP.Model, g::Unit, formulation::Formulation)
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Add production, reserve, startup, shutdown, and status variables,
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and constraints for min uptime/downtime, net injection, production, ramping, startup, shutdown, and status.
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Fix variables if a certain generator _must_ run or if a generator provides spinning reserves.
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Also, add overflow penalty to objective for each transmission line.
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"""
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function _add_unit!(model::JuMP.Model, g::Unit, formulation::Formulation)
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if !all(g.must_run) && any(g.must_run)
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error("Partially must-run units are not currently supported")
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@@ -35,7 +44,12 @@ function _add_unit!(model::JuMP.Model, g::Unit, formulation::Formulation)
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formulation.status_vars,
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)
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_add_startup_cost_eqs!(model, g, formulation.startup_costs)
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_add_startup_shutdown_limit_eqs!(model, g)
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_add_startup_shutdown_limit_eqs!(
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model,
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g,
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formulation.status_vars,
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formulation.prod_vars,
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)
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_add_status_eqs!(model, g, formulation.status_vars)
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return
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end
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@@ -76,7 +90,22 @@ function _add_startup_shutdown_vars!(model::JuMP.Model, g::Unit)::Nothing
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return
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end
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function _add_startup_shutdown_limit_eqs!(model::JuMP.Model, g::Unit)::Nothing
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"""
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_add_startup_shutdown_limit_eqs!(model::JuMP.Model, g::Unit)::Nothing
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Creates startup/shutdown limit constraints below based on variables `Gar1962.StatusVars`, `prod_above` from `Gar1962.ProdVars`, and `reserve`.
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Constraints
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---
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* :eq_startup_limit
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* :eq_shutdown_limit
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"""
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function _add_startup_shutdown_limit_eqs!(
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model::JuMP.Model,
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g::Unit,
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formulation_status_vars::Gar1962.StatusVars,
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formulation_prod_vars::Gar1962.ProdVars,
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)::Nothing
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eq_shutdown_limit = _init(model, :eq_shutdown_limit)
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eq_startup_limit = _init(model, :eq_startup_limit)
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is_on = model[:is_on]
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@@ -95,8 +124,15 @@ function _add_startup_shutdown_limit_eqs!(model::JuMP.Model, g::Unit)::Nothing
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)
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# Shutdown limit
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if g.initial_power > g.shutdown_limit
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# TODO check what happens with these variables when exporting the model
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# Generator producing too much to be turned off in the first time period
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# (can a binary variable have bounds x = 0?)
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if formulation_status_vars.fix_vars_via_constraint
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eq_shutdown_limit[g.name, 0] =
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@constraint(model, switch_off[g.name, 1] <= 0)
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@constraint(model, model[:switch_off][g.name, 1] <= 0.0)
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else
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fix(model[:switch_off][g.name, 1], 0.0; force = true)
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end
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end
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if t < T
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eq_shutdown_limit[g.name, t] = @constraint(
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