Adaptive Alternating Direction Method of Multipliers (Adaptive ADMM)

solve_dopf_adaptive_admm(data::Dict{String, <:Any}, model_type::DataType, optimizer; 
mismatch_method::String="norm", tol::Float64=1e-4, max_iteration::Int64=1000, 
print_level::Int64=1, print_optimizer_info::Bool=false, alpha::Real=1000)

Solve the distributed OPF problem using adaptive ADMM algorithm.

Arguments:

• data::Dict{String, <:Any} : dictionary contains case in PowerModel format
• model_type::DataType : power flow formulation (PowerModel type)
• optimizer : optimizer JuMP initiation object
• mismatch_method::String="norm" : mismatch calculation method (norm, max)
• tol::Float64=1e-4 : mismatch tolerance
• max_iteration::Int64=1000 : maximum number of iteration
• print_level::Int64=1 : 0 - no print, 1 - print mismatch after each iteration and result summary, 2 - print optimizer output
• alpha::Real=1000 : algorithm parameter

solve_dopf_adaptive_admm(data::Dict{String, <:Any}, model_type::DataType, optimizer; 
mismatch_method::String="norm", tol::Float64=1e-4, max_iteration::Int64=1000, 
print_level::Int64=1, print_optimizer_info::Bool=false, alpha::Real=1000)

Solve the distributed OPF problem using adaptive ADMM algorithm.

Arguments:

• data::Dict{String, <:Any} : dictionary contains case in PowerModel format
• model_type::DataType : power flow formulation (PowerModel type)
• optimizer : optimizer JuMP initiation object
• mismatch_method::String="norm" : mismatch calculation method (norm, max)
• tol::Float64=1e-4 : mismatch tolerance
• max_iteration::Int64=1000 : maximum number of iteration
• print_level::Int64=1 : 0 - no print, 1 - print mismatch after each iteration and result summary, 2 - print optimizer output
• alpha::Real=1000 : algorithm parameter

adaptive ADMM algorithm module contains build and update methods

build PowerModel object for the adaptive ADMM algorithm

calc_dual_residual!(data::Dict{String, <:Any}; central::Bool=false)

calculate the dual redidual as seen by the area. Set central=true if the algorithm uses the optimality condition of a central coordinator.

initialize the adaptive ADMM algorithm

adaptive ADMM algorithm objective function

solve distributed OPF using adaptive ADMM algorithm

update the adaptive ADMM algorithm data after each iteration

adaptive ADMM algorithm module contains build and update methods

build PowerModel object for the ADMM algorithm coordinator

build PowerModel object for the adaptive ADMM algorithm

initialize the adaptive ADMM algorithm

initialize the adaptive ADMM algorithm

adaptive ADMM algorithm objective function

adaptive ADMM algorithm objective function

solve distributed OPF using adaptive ADMM algorithm

update the adaptive ADMM algorithm data after each iteration

update the adaptive ADMM algorithm data after each iteration