Auxiliary Problem Principle (APP)

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

Solve the distributed OPF problem using APP 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 : print mismatch after each iteration and result summary
• alpha::Real=1000 : algorithm parameter
• beta::Real=2alpha : algorithm parameter
• gamma::Real=alpha : algorithm parameter

APP algorithm module contains build and update methods

build PowerModel object for the APP algorithm

initialize the APP algorithm

APP algorithm objective function

solve distributed OPF using APP algorithm

update the APP algorithm data after each iteration