You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
55 lines
1.9 KiB
55 lines
1.9 KiB
# 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_production_piecewise_linear_eqs!(
|
|
model::JuMP.Model,
|
|
g::Unit,
|
|
formulation_prod_vars::Gar1962.ProdVars,
|
|
formulation_pwl_costs::CarArr2006.PwlCosts,
|
|
formulation_status_vars::StatusVarsFormulation,
|
|
)::Nothing
|
|
eq_prod_above_def = _init(model, :eq_prod_above_def)
|
|
eq_segprod_limit = _init(model, :eq_segprod_limit)
|
|
segprod = model[:segprod]
|
|
gn = g.name
|
|
|
|
# Gar1962.ProdVars
|
|
prod_above = model[:prod_above]
|
|
|
|
K = length(g.cost_segments)
|
|
for t in 1:model[:instance].time
|
|
gn = g.name
|
|
for k in 1:K
|
|
# Equation (45) in Kneuven et al. (2020)
|
|
# NB: when reading instance, UnitCommitment.jl already calculates
|
|
# difference between max power for segments k and k-1 so the
|
|
# value of cost_segments[k].mw[t] is the max production *for
|
|
# that segment*
|
|
eq_segprod_limit[gn, t, k] = @constraint(
|
|
model,
|
|
segprod[gn, t, k] <= g.cost_segments[k].mw[t]
|
|
)
|
|
|
|
# Also add this as an explicit upper bound on segprod to make the
|
|
# solver's work a bit easier
|
|
set_upper_bound(segprod[gn, t, k], g.cost_segments[k].mw[t])
|
|
|
|
# Definition of production
|
|
# Equation (43) in Kneuven et al. (2020)
|
|
eq_prod_above_def[gn, t] = @constraint(
|
|
model,
|
|
prod_above[gn, t] == sum(segprod[gn, t, k] for k in 1:K)
|
|
)
|
|
|
|
# Objective function
|
|
# Equation (44) in Kneuven et al. (2020)
|
|
add_to_expression!(
|
|
model[:obj],
|
|
segprod[gn, t, k],
|
|
g.cost_segments[k].cost[t],
|
|
)
|
|
end
|
|
end
|
|
end
|