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51 lines
1.9 KiB
51 lines
1.9 KiB
# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
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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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function _add_startup_cost_eqs!(
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model::JuMP.Model,
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g::Unit,
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formulation::MorLatRam2013.StartupCosts,
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)::Nothing
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eq_startup_choose = _init(model, :eq_startup_choose)
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eq_startup_restrict = _init(model, :eq_startup_restrict)
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S = length(g.startup_categories)
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startup = model[:startup]
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for t in 1:model[:instance].time
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# If unit is switching on, we must choose a startup category
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eq_startup_choose[g.name, t] = @constraint(
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model,
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model[:switch_on][g.name, t] ==
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sum(startup[g.name, t, s] for s in 1:S)
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)
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for s in 1:S
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# If unit has not switched off in the last `delay` time periods, startup category is forbidden.
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# The last startup category is always allowed.
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if s < S
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range_start = t - g.startup_categories[s+1].delay + 1
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range_end = t - g.startup_categories[s].delay
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range = (range_start:range_end)
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initial_sum = (
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g.initial_status < 0 && (g.initial_status + 1 in range) ? 1.0 : 0.0
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)
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eq_startup_restrict[g.name, t, s] = @constraint(
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model,
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startup[g.name, t, s] <=
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initial_sum + sum(
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model[:switch_off][g.name, i] for i in range if i >= 1
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)
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)
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end
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# Objective function terms for start-up costs
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add_to_expression!(
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model[:obj],
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startup[g.name, t, s],
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g.startup_categories[s].cost,
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)
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end
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end
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return
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end
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