Convex optimization solving method for optimal power flow of electric power system

Abstract

The invention relates to a convex optimization solving method for optimal power flow of an electric power system, and belongs to the running and control technology field for an electric power system.According to the method, a non-convex constraint in an optimal power flow problem is converted into a form of subtraction of convex functions, and a non-convex optimal power flow problem is convertedinto a convex optimization problem to obtain a solution through linearization of the convex functions in the non-convex constraint and introduction of slack variables. The method includes the following steps: establishing an optimal power flow optimization model of an electric power system; converting a non-convex power flow equation into a form of subtraction of convex functions; carrying out equivalent conversion of the optimal power flow optimization model of the electric power system; and carrying out convex optimization iterative solving of the optimal power flow optimization model of theelectric power system. The non-convex constraint in the power flow equation of the electric power system is converted into a form of subtraction of the convex functions to enable the non-convex optimal power flow problem to be converted into iterative solving of the convex optimization problem, so highly efficient solving of the optimal power flow problem of the electric power system is realized.

Description

technical field [0001] The invention relates to a convex optimization solution method for the optimal power flow of a power system, which converts the non-convex constraints in the optimal power flow problem into the form of convex function subtraction, and through the linearization of the convex functions in the non-convex constraints and the introduction of slack variables , which transforms the non-convex optimal power flow problem into a convex optimization problem, and belongs to the technical field of power system operation and control. Background technique [0002] Optimal power flow refers to adjusting the parameters of various control devices in the system from the perspective of optimal operation of the power system, and achieving the minimization of power generation costs and network losses under the constraints of the normal power balance of nodes and various safety indicators. Optimal power flow has a wide range of application values ​​in the safe operation of p...

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Problems solved by technology

The calculation efficiency and optimality of calculation results of these non-convex optimization methods cannot be guaranteed, and cannot be applied to distributed optimization and uncertainty optimization of power systems.

Up to now, there is still a lack of a convex optimization method that can find a feasible solution in the optimal power flow problem of a power system with a ring network

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