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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 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 | # 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::DamKucRajAta2016.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
known_initial_conditions = true
is_initially_on = (g.initial_status > 0)
SU = g.startup_limit
SD = g.shutdown_limit
RU = g.ramp_up_limit
RD = g.ramp_down_limit
gn = g.name
eq_str_ramp_down = _init(model, :eq_str_ramp_down)
eq_str_ramp_up = _init(model, :eq_str_ramp_up)
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
time_invariant =
(t > 1) ? (abs(g.min_power[t] - g.min_power[t-1]) < 1e-7) : true
# if t > 1 && !time_invariant
# @warn(
# "Ramping according to Damcı-Kurt et al. (2016) requires " *
# "time-invariant minimum power. This does not hold for " *
# "generator $(gn): min_power[$t] = $(g.min_power[t]); " *
# "min_power[$(t-1)] = $(g.min_power[t-1]). Reverting to " *
# "Arroyo and Conejo (2000) formulation for this generator.",
# )
# end
max_prod_this_period =
prod_above[sc.name, gn, t] +
(RESERVES_WHEN_START_UP || RESERVES_WHEN_RAMP_UP ? reserve[t] : 0.0)
min_prod_last_period = 0.0
if t > 1 && time_invariant
min_prod_last_period = prod_above[sc.name, gn, t-1]
# Equation (35) in Kneuven et al. (2020)
# Sparser version of (24)
eq_str_ramp_up[sc.name, gn, t] = @constraint(
model,
max_prod_this_period - min_prod_last_period <=
(SU - g.min_power[t] - RU) * switch_on[gn, t] +
RU * is_on[gn, t]
)
elseif (t == 1 && is_initially_on) || (t > 1 && !time_invariant)
if t > 1
min_prod_last_period =
prod_above[sc.name, gn, t-1] +
g.min_power[t-1] * is_on[gn, t-1]
else
min_prod_last_period = max(g.initial_power, 0.0)
end
# Add the min prod at time t back in to max_prod_this_period to get _total_ production
# (instead of using the amount above minimum, as min prod for t < 1 is unknown)
max_prod_this_period += g.min_power[t] * is_on[gn, t]
# Modified version of equation (35) in Kneuven et al. (2020)
# Equivalent to (24)
eq_str_ramp_up[sc.name, gn, t] = @constraint(
model,
max_prod_this_period - min_prod_last_period <=
(SU - RU) * switch_on[gn, t] + RU * is_on[gn, t]
)
end
max_prod_last_period =
min_prod_last_period + (
t > 1 && (RESERVES_WHEN_SHUT_DOWN || RESERVES_WHEN_RAMP_DOWN) ?
reserve[t-1] : 0.0
)
min_prod_this_period = prod_above[sc.name, gn, t]
on_last_period = 0.0
if t > 1
on_last_period = is_on[gn, t-1]
elseif (known_initial_conditions && g.initial_status > 0)
on_last_period = 1.0
end
if t > 1 && time_invariant
# Equation (36) in Kneuven et al. (2020)
eq_str_ramp_down[sc.name, gn, t] = @constraint(
model,
max_prod_last_period - min_prod_this_period <=
(SD - g.min_power[t] - RD) * switch_off[gn, t] +
RD * on_last_period
)
elseif (t == 1 && is_initially_on) || (t > 1 && !time_invariant)
# Add back in min power
min_prod_this_period += g.min_power[t] * is_on[gn, t]
# Modified version of equation (36) in Kneuven et al. (2020)
# Equivalent to (25)
eq_str_ramp_down[sc.name, gn, t] = @constraint(
model,
max_prod_last_period - min_prod_this_period <=
(SD - RD) * switch_off[gn, t] + RD * on_last_period
)
end
end
end
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