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43c68a3 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 | # UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
# Released under the modified BSD license. See COPYING.md for more details.
function _add_startup_cost_eqs!(
model::JuMP.Model,
g::ThermalUnit,
formulation::MorLatRam2013.StartupCosts,
)::Nothing
eq_startup_choose = _init(model, :eq_startup_choose)
eq_startup_restrict = _init(model, :eq_startup_restrict)
S = length(g.startup_categories)
startup = model[:startup]
for t in 1:model[:instance].time
# If unit is switching on, we must choose a startup category
eq_startup_choose[g.name, t] = @constraint(
model,
model[:switch_on][g.name, t] ==
sum(startup[g.name, t, s] for s in 1:S)
)
for s in 1:S
# If unit has not switched off in the last `delay` time periods, startup category is forbidden.
# The last startup category is always allowed.
if s < S
range_start = t - g.startup_categories[s+1].delay + 1
range_end = t - g.startup_categories[s].delay
range = (range_start:range_end)
initial_sum = (
g.initial_status < 0 && (g.initial_status + 1 in range) ? 1.0 : 0.0
)
eq_startup_restrict[g.name, t, s] = @constraint(
model,
startup[g.name, t, s] <=
initial_sum + sum(
model[:switch_off][g.name, i] for i in range if i >= 1
)
)
end
# Objective function terms for start-up costs
add_to_expression!(
model[:obj],
startup[g.name, t, s],
g.startup_categories[s].cost,
)
end
end
return
end
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