Mathematical model for optimal configuration of power distribution network filtering devices

Abstract

The invention discloses a mathematical model for optimal configuration of power distribution network filtering devices. Under the condition that harmonic voltage, condenser capacity and the like meet constraint conditions, in terms of system average voltage total distortion and investment cost, a comprehensive objective function is given in a linear weighting manner, a penalty function is added to the objective function so that a constrained optimization problem is converted into a unconstrained optimization problem, and an improved simulated annealing-particle swarm optimization (namely introduction of an adaptive inertia coefficient and a memorizer) is used for solving. The model can be adapted to the random variation of a harmonic source and network parameters, can ensure that the harmonicration and average voltage total harmonic distortion of each node of the network are in the specified limits, can optimize the installation type, installation location, installation quantity, capacity parameter and the like of active filters and passive filters in a centralized manner in the whole network; and by the mathematical model, the investment cost of filtering devices in the whole network is reduced to the minimum.

Description

technical field [0001] The invention relates to uniform optimization of the installation location, installation type, number of installation groups and capacity parameters of active and passive filter devices within the scope of the distribution network when the structure, parameters and harmonic current of the distribution network are known, so that the power distribution The filter device of the network ensures that the harmonic voltage content of each node in the network and the total harmonic distortion rate of the average voltage are within the specified limit, and on the premise of the safe operation of the filter device, the investment cost of the filter device of the entire network is minimized. Background technique [0002] With the development of modern industrial technology, the large-scale application of various nonlinear and time-varying power electronic devices (such as inverters, rectifiers and various switching power supplies, etc.) has greatly increased the n...

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Problems solved by technology

[0004] In order to achieve the above-mentioned purpose, the technical solution adopted by the present invention is: considering the comprehensive optimal configuration of the active filter and the passive filter for the entire distribution network, from the perspective of the total distortion rate of the system voltage and the investment cost, adopting The comprehensive objective function is given in a linear weighted way, so that the multi-objective optimization problem is transformed into a single-objective optimization problem, which solves the problem that in actual situations, the two objective functions cannot reach the minimum at the same time, but only by coordinating the relationship between the functions The problem

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