Datasets:
File size: 2,313 Bytes
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 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 | # 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::ThermalUnit,
formulation_prod_vars::Gar1962.ProdVars,
formulation_pwl_costs::Gar1962.PwlCosts,
formulation_status_vars::Gar1962.StatusVars,
sc::UnitCommitmentScenario,
)::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]
# Gar1962.StatusVars
is_on = model[:is_on]
K = length(g.cost_segments)
for t in 1:model[:instance].time
# Definition of production
# Equation (43) in Kneuven et al. (2020)
eq_prod_above_def[sc.name, gn, t] = @constraint(
model,
prod_above[sc.name, gn, t] ==
sum(segprod[sc.name, gn, t, k] for k in 1:K)
)
for k in 1:K
# Equation (42) in Kneuven et al. (2020)
# Without this, solvers will add a lot of implied bound cuts to
# have this same effect.
# 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[sc.name, gn, t, k] = @constraint(
model,
segprod[sc.name, gn, t, k] <=
g.cost_segments[k].mw[t] * is_on[gn, t]
)
# Also add this as an explicit upper bound on segprod to make the
# solver's work a bit easier
set_upper_bound(
segprod[sc.name, gn, t, k],
g.cost_segments[k].mw[t],
)
# Objective function
# Equation (44) in Kneuven et al. (2020)
add_to_expression!(
model[:obj],
segprod[sc.name, gn, t, k],
sc.probability * g.cost_segments[k].cost[t],
)
end
end
return
end
|