SDP_solve.jl

Required packages

• LinearAlgebra
• Printf
• DelimitedFiles
• JuMP
• Mosek
• MosekTools

Data

Decompositions

• Blocks files
• Clique tree files

OPF instances

Each instance contains the number of nodes in the power network in his name. For example, the instance case14 represents a network with 14 nodes. We are interested in finding good decompositions for instances of more than 1000 nodes.

There are two files per instance:

• one file "mat" with all quadratic terms (and possibly a constant for the objective function)
• one file "ctr" that indicates the type of each constraint along with its lhs and rhs

NB : OPF problems with thermal limits in current, linear objective function and aggregation of generators associated to the same bus

Functions

• Function solve_sdp solves a given instance with a given decomposition (files in DATA_PATH) and returns Mosek resolution time and the number of iterations. Mosek log file is saved in Mosek_runs. The file test.jl allows to test this function.
• File solve_all_OPFinstances.jl launches the function solve_sdp for a list of instances and a list of decompositions and create a .csv file with all resolution time and numbers of iterations.
• The file SDP_functions.jl contains all auxiliary functions