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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
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# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
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# Released under the modified BSD license. See COPYING.md for more details.
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"""
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optimize!(
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instance::UnitCommitmentInstance,
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method::TimeDecomposition;
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optimizer,
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)::OrderedDict
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Solve the given unit commitment instance with time decomposition.
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The model solves each sub-problem of a given time length specified by method.time_window,
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and proceeds to the next sub-problem by incrementing the time length of method.time_increment.
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Examples
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--------
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```julia
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using UnitCommitment, Cbc
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import UnitCommitment:
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TimeDecomposition,
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Formulation,
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XavQiuWanThi2019
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# assume the instance is given as a 120h problem
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instance = UnitCommitment.read("instance.json")
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solution = UnitCommitment.optimize!(
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instance,
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TimeDecomposition(
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time_window = 36, # solve 36h problems
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time_increment = 24, # advance by 24h each time
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inner_method = XavQiuWanThi2019.Method(),
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formulation = Formulation(),
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),
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optimizer=Cbc.Optimizer
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)
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"""
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function optimize!(
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instance::UnitCommitmentInstance,
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method::TimeDecomposition;
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optimizer,
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)::OrderedDict
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# get instance total length
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T = instance.time
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solution = OrderedDict()
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iter = 0
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if length(instance.scenarios) > 1
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for sc in instance.scenarios
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solution[sc.name] = OrderedDict()
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end
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end
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# for each iteration, time increment by method.time_increment
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for t_start in 1:method.time_increment:T
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# set the initial status
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if iter > 0
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_set_initial_status!(instance, solution, method.time_increment)
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end
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t_end = t_start + method.time_window - 1
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# if t_end exceed total T
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t_end = t_end > T ? T : t_end
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# slice the model
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modified = UnitCommitment.slice(instance, t_start:t_end)
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# solve the model
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model = UnitCommitment.build_model(
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instance = modified,
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optimizer = optimizer,
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formulation = method.formulation,
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)
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UnitCommitment.optimize!(model, method.inner_method)
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# get the result of each time period
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sub_solution = UnitCommitment.solution(model)
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if length(instance.scenarios) == 1
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_update_solution!(solution, sub_solution, method.time_increment)
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else
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for sc in instance.scenarios
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_update_solution!(
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solution[sc.name],
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sub_solution[sc.name],
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method.time_increment,
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)
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end
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end
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iter += 1 # increment iteration counter
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end
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return solution
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end
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function _set_initial_status!(
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instance::UnitCommitmentInstance,
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solution::OrderedDict,
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time_increment::Int,
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)
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for sc in instance.scenarios
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for thermal_unit in sc.thermal_units
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if length(instance.scenarios) == 1
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prod = solution["Thermal production (MW)"][thermal_unit.name]
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is_on = solution["Is on"][thermal_unit.name]
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else
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prod =
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solution[sc.name]["Thermal production (MW)"][thermal_unit.name]
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is_on = solution[sc.name]["Is on"][thermal_unit.name]
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end
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thermal_unit.initial_power = prod[time_increment]
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thermal_unit.initial_status = _determine_initial_status(
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thermal_unit.initial_status,
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is_on,
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time_increment,
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)
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end
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end
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end
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function _determine_initial_status(
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prev_initial_status::Union{Float64,Int},
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status_sequence::Vector{Float64},
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time_increment::Int,
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)::Union{Float64,Int}
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# initialize the two flags
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on_status = prev_initial_status
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off_status = prev_initial_status
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# read through the status sequence
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# at each time if the unit is on, reset off_status, increment on_status
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# if the on_status < 0, set it to 1.0
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# at each time if the unit is off, reset on_status, decrement off_status
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# if the off_status > 0, set it to -1.0
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for t in 1:time_increment
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if status_sequence[t] == 1.0
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on_status = on_status < 0.0 ? 1.0 : on_status + 1.0
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off_status = 0.0
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else
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on_status = 0.0
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off_status = off_status > 0.0 ? -1.0 : off_status - 1.0
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end
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end
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# only one of them has non-zero value
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return on_status + off_status
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end
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function _update_solution!(
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solution::OrderedDict,
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sub_solution::OrderedDict,
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time_increment::Int,
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)
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# the solution has at most 3 layers
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for (l1_k, l1_v) in sub_solution
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for (l2_k, l2_v) in l1_v
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if l2_v isa Array
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# slice the sub_solution
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values_of_interest = l2_v[1:time_increment]
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sub_solution[l1_k][l2_k] = values_of_interest
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# append to the solution
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if !isempty(solution)
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append!(solution[l1_k][l2_k], values_of_interest)
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end
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elseif l2_v isa OrderedDict
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for (l3_k, l3_v) in l2_v
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# slice the sub_solution
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values_of_interest = l3_v[1:time_increment]
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sub_solution[l1_k][l2_k][l3_k] = values_of_interest
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# append to the solution
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if !isempty(solution)
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append!(solution[l1_k][l2_k][l3_k], values_of_interest)
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end
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end
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end
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end
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end
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# if solution is never initialized, deep copy the sliced sub_solution
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if isempty(solution)
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merge!(solution, sub_solution)
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end
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end
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@ -0,0 +1,35 @@
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# UnitCommitment.jl: Optimization Package for Security-Constrained Unit Commitment
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# Copyright (C) 2020, UChicago Argonne, LLC. All rights reserved.
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# Released under the modified BSD license. See COPYING.md for more details.
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import ..SolutionMethod
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import ..Formulation
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"""
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mutable struct TimeDecomposition <: SolutionMethod
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time_window::Int
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time_increment::Int
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inner_method::SolutionMethod
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formulation::Formulation
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end
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Time decomposition method to solve a problem with moving time window.
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Fields
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------
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- `time_window`:
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the time window of each sub-problem during the entire optimization procedure.
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- `time_increment`:
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the time incremented to the next sub-problem.
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- `inner_method`:
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method to solve each sub-problem.
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- `formulation`:
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problem formulation.
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"""
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Base.@kwdef mutable struct TimeDecomposition <: SolutionMethod
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time_window::Int
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time_increment::Int
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inner_method::SolutionMethod
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formulation::Formulation
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end
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