Quadratic convex relaxation optimization method of electricity-gas interconnection system

A technology of interconnected systems and optimization methods, applied in the field of power systems, can solve problems such as difficult to ensure global optimality and inability to efficiently solve electrical-gas interconnected systems, and achieve good convergence performance, guaranteed feasibility, and simple iterations

CN113962443AActive Publication Date: 2022-01-21POWERCHINA HUADONG ENG COPORATION LTD
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Publication Date
2022-01-21

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Abstract

The invention discloses a quadratic convex relaxation optimization method for an electricity-gas interconnection system, which aims at the optimization solution problem of the electricity-gas interconnection system, and converts a nonlinear non-convex problem into a convex optimization problem by quadratic convex relaxation through optimization model establishment, a quadratic convex relaxation process and a relaxation tightening method, and a continuous iteration method is adopted to reduce a relaxation gap, so that an optimal solution for solving the electricity-gas interconnection system is realized. Compared with the existing method, the method has the advantages that: (1) the convex relaxation gap can be effectively reduced; and (2) the problem after convex relaxation is a convex optimization problem, and the problem after relaxation can be efficiently solved and a feasible optimal solution can be obtained at the same time. In conclusion, the method has very high engineering practical value.
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Description

technical field

[0001] The invention belongs to the field of power systems, and in particular relates to a quadratic convex relaxation optimization method for an electric-gas interconnection system. Background technique

[0002] At present, with the vigorous development of energy Internet and energy conversion equipment, the coupling between power system and natural gas system is getting closer. In the operation of the electric-gas interconnection system, how to improve the overall economy of the system is of great significance to its long-term development. The optimization problem of electrical-gas interconnection system is a non-convex nonlinear programming problem in mathematics, which is difficult to solve efficiently and quickly by using traditional algorithms. Therefore, how to model the system and realize efficient optimization calculation and solution is an urgent need to be solved.

[0003] In the optimization of common electrical-gas interconnection systems, arti...

Examples

Embodiment Construction

[0068] In order to describe the present invention more specifically, the technical solutions of the present invention will be described in detail below in conjunction with the accompanying drawings and specific implementation examples.

[0069] The optimization process of the present invention is mainly composed of three main parts: establishment of the above-mentioned optimization model, secondary convex relaxation process, and relaxation and contraction;

[0070] 1. Optimization model establishment: In the model modeling of the power system, according to the voltage variable V of each node i in the power grid i =U i ∠θ i , the active power variable generated by node i reactive power variable Active power variable of node i load reactive power variable Establish equations and inequality relational equations; at the same time, for the current variable I flowing through the lines in the lines i~j ij , the line admittance constant Y ij , conductance constant G ij , s...