Datasets:
File size: 3,650 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 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 | # 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_ramp_eqs!(
model::JuMP.Model,
g::ThermalUnit,
formulation_prod_vars::Gar1962.ProdVars,
formulation_ramping::ArrCon2000.Ramping,
formulation_status_vars::Gar1962.StatusVars,
sc::UnitCommitmentScenario,
)::Nothing
# TODO: Move upper case constants to model[:instance]
RESERVES_WHEN_START_UP = true
RESERVES_WHEN_RAMP_UP = true
RESERVES_WHEN_RAMP_DOWN = true
RESERVES_WHEN_SHUT_DOWN = true
gn = g.name
RU = g.ramp_up_limit
RD = g.ramp_down_limit
SU = g.startup_limit
SD = g.shutdown_limit
eq_ramp_down = _init(model, :eq_ramp_down)
eq_ramp_up = _init(model, :eq_ramp_up)
is_initially_on = (g.initial_status > 0)
reserve = _total_reserves(model, g, sc)
# Gar1962.ProdVars
prod_above = model[:prod_above]
# Gar1962.StatusVars
is_on = model[:is_on]
switch_off = model[:switch_off]
switch_on = model[:switch_on]
for t in 1:model[:instance].time
# Ramp up limit
if t == 1
if is_initially_on
# min power is _not_ multiplied by is_on because if !is_on, then ramp up is irrelevant
eq_ramp_up[sc.name, gn, t] = @constraint(
model,
g.min_power[t] +
prod_above[sc.name, gn, t] +
(RESERVES_WHEN_RAMP_UP ? reserve[t] : 0.0) <=
g.initial_power + RU
)
end
else
max_prod_this_period =
g.min_power[t] * is_on[gn, t] +
prod_above[sc.name, gn, t] +
(
RESERVES_WHEN_START_UP || RESERVES_WHEN_RAMP_UP ?
reserve[t] : 0.0
)
min_prod_last_period =
g.min_power[t-1] * is_on[gn, t-1] + prod_above[sc.name, gn, t-1]
# Equation (24) in Kneuven et al. (2020)
eq_ramp_up[sc.name, gn, t] = @constraint(
model,
max_prod_this_period - min_prod_last_period <=
RU * is_on[gn, t-1] + SU * switch_on[gn, t]
)
end
# Ramp down limit
if t == 1
if is_initially_on
# TODO If RD < SD, or more specifically if
# min_power + RD < initial_power < SD
# then the generator should be able to shut down at time t = 1,
# but the constraint below will force the unit to produce power
eq_ramp_down[sc.name, gn, t] = @constraint(
model,
g.initial_power -
(g.min_power[t] + prod_above[sc.name, gn, t]) <= RD
)
end
else
max_prod_last_period =
g.min_power[t-1] * is_on[gn, t-1] +
prod_above[sc.name, gn, t-1] +
(
RESERVES_WHEN_SHUT_DOWN || RESERVES_WHEN_RAMP_DOWN ?
reserve[t-1] : 0.0
)
min_prod_this_period =
g.min_power[t] * is_on[gn, t] + prod_above[sc.name, gn, t]
# Equation (25) in Kneuven et al. (2020)
eq_ramp_down[sc.name, gn, t] = @constraint(
model,
max_prod_last_period - min_prod_this_period <=
RD * is_on[gn, t] + SD * switch_off[gn, t]
)
end
end
end
|