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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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 | function _add_power_trajectory_eqs!(
model::JuMP.Model,
g::ThermalUnit,
formulation_prod_vars::Gar1962.ProdVars,
formulation_power_trajectories::ArrCon2004.PowerTrajectories,
formulation_status_vars::Gar1962.StatusVars,
sc::UnitCommitmentScenario,
)::Nothing
if isempty(g.startup_curve) || isempty(g.shutdown_curve)
return
end
T_del = model[:instance].time
if haskey(model, :eq_ramp_up) && haskey(model, :eq_ramp_down)
for t in 1:T_del
key = (sc.name, g.name, t)
if haskey(model[:eq_ramp_up], key)
delete(model, model[:eq_ramp_up][key])
delete!(model[:eq_ramp_up], key)
end
if haskey(model[:eq_ramp_down], key)
delete(model, model[:eq_ramp_down][key])
delete!(model[:eq_ramp_down], key)
end
end
end
T = model[:instance].time
UD = length(g.startup_curve)
DD = length(g.shutdown_curve)
P_U = g.startup_curve
P_D = g.shutdown_curve
if haskey(model, :segprod)
for t in 1:T_del
su_min = isempty(P_U) ? 0.0 : minimum(P_U)
if su_min < g.min_power[t]
key1 = (sc.name, g.name, t, 1)
if haskey(model[:segprod], key1)
set_lower_bound(model[:segprod][key1], su_min - g.min_power[t])
end
end
end
end
RU = g.ramp_up_limit
RD = g.ramp_down_limit
gn = g.name
is_on = model[:is_on]
switch_on = model[:switch_on]
switch_off= model[:switch_off]
eq_startup_lb = _init(model, :eq_arr_startup_lb)
eq_startup_ub = _init(model, :eq_arr_startup_ub)
eq_shutdown_lb = _init(model, :eq_arr_shutdown_lb)
eq_shutdown_ub = _init(model, :eq_arr_shutdown_ub)
eq_ramp_up = _init(model, :eq_arr_ramp_up)
eq_ramp_down = _init(model, :eq_arr_ramp_down)
eq_overlap_logic = _init(model, :eq_overlap_logic)
eq_overlap_su_lb = _init(model, :eq_overlap_su_lb)
eq_overlap_sd_lb = _init(model, :eq_overlap_sd_lb)
for t in 1:T
Pmax = g.max_power[t]
Pmin = g.min_power[t]
p_t = _actual_power(model, g, sc, t)
su_prod = sum(
P_U[i] * switch_on[gn, t - i + 1]
for i in 1:UD if t - i + 1 >= 1;
init = 0.0
)
# Σ y(k-i+1)
su_sum = sum(
switch_on[gn, t - i + 1]
for i in 1:UD if t - i + 1 >= 1;
init = 0
)
# Σ P_D(i)·z(k+DD-i+1)
sd_prod = sum(
P_D[i] * switch_off[gn, t + DD - i + 1]
for i in 1:DD if t + DD - i + 1 <= T;
init = 0.0
)
# Σ z(k+i)
sd_sum = sum(
switch_off[gn, t + i]
for i in 1:DD if t + i <= T;
init = 0
)
# [1] 启动下限
eq_startup_lb[sc.name, gn, t] = @constraint(
model,
p_t >= Pmin * (is_on[gn, t] - su_sum - sd_sum) + su_prod
)
# [2] 停止下限
eq_shutdown_lb[sc.name, gn, t] = @constraint(
model,
p_t >= Pmin * (is_on[gn, t] - su_sum - sd_sum) + sd_prod
)
# [3] 启动上限
eq_startup_ub[sc.name, gn, t] = @constraint(
model,
p_t <= su_prod + Pmax * (is_on[gn, t] - su_sum)
)
# [4] 停止上限
eq_shutdown_ub[sc.name, gn, t] = @constraint(
model,
p_t <= sd_prod + Pmax * (is_on[gn, t] - sd_sum)
)
# [10]
eq_overlap_logic[sc.name, gn, t] = @constraint(
model,
switch_on[gn, t] + sum(
switch_off[gn, t + j]
for j in 0:(UD + DD - 2) if t + j <= T;
init = 0
) <= 1
)
# [11] & [12]
eq_overlap_su_lb[sc.name, gn, t] = @constraint(
model,
p_t >= P_U[UD] * (su_sum + sd_sum - 1)
)
eq_overlap_sd_lb[sc.name, gn, t] = @constraint(
model,
p_t >= P_D[1] * (su_sum + sd_sum - 1)
)
# [5]
if t == 1
g.initial_status > 0 || continue
p_prev = g.initial_power
else
p_prev = _actual_power(model, g, sc, t - 1)
end
eq_ramp_up[sc.name, gn, t] = @constraint(
model,
p_t - p_prev <= Pmax * su_sum + RU * (is_on[gn, t] - su_sum)
)
# [6]
if t > 1
p_prev_rd = _actual_power(model, g, sc, t - 1)
sd_sum_prev = sum(
switch_off[gn, (t-1) + i]
for i in 1:DD if (t-1) + i <= T;
init = 0
)
eq_ramp_down[sc.name, gn, t] = @constraint(
model,
p_prev_rd - p_t <= Pmax * sd_sum_prev + RD * (is_on[gn, t-1] - sd_sum_prev)
)
end
reserve_t = _total_reserves(model, g, sc)[t]
@constraint(
model,
reserve_t <= Pmax * (is_on[gn, t] - su_sum - sd_sum)
)
end
return
end
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