基于遗传算法的三相四芯电缆相电流重构方法

A phase current reconstruction method of three-phase four-corepower cable based on genetic algorithm

目前多芯电缆电流重构方法受限于电缆规格或传感器阵列与线芯需按特定规则摆放导致其在实际工程应用中较为困难。本文提出基于遗传算法进行三相四芯电力电缆线芯分布相关量的求解,进而得到任意线芯分布半径、任意线芯与传感器阵列角度时磁传感器阵列各单元的输出量与各线芯电流之间的耦合系数矩阵的方法,用于重构四芯电缆中各线芯电流。通过仿真验证了算法的可行性。为了能有效降低由于干扰等因素造成的误差,提出了一种先验求解模型以提高解的质量。随后进行了传感单元阵列电路拓扑的设计,使用设计的原型在搭建的实验平台进行了测试,实验结果表明,在三相平衡情况下,测量的三相电流最大误差为2.42%,最大相位误差为2.77°,在三相不平衡情况下,测量的三相电流最大误差为2.52%,最大相位误差为4.17°。实验结果验证了方法的可行性与有效性。

At present,the multi-core power cable current reconstruction method is limited by the cable specifications or the sensor array and the core need to be placed according to specific rules,which makes it difficult in practical engineering applications.In this paper,a method based on genetic algorithm is proposed to solve the core distribution correlation of three-phase four-core power cable,then the coupling coefficient matrix between the output of each unit of the magnetic sensor array and the current of each core is obtained when the distribution radius of any core and the angle between any core and the sensor array are obtained,which is used to reconstruct the current of each core in the four-core cable.The feasibility of the algorithm is verified by simulation.In order to effectively reduce the error caused by external factors such as interference,a prior solution model is proposed to improve the quality of the solution.Then,the topology of the sensor unit array circuit is designed.The prototype is tested on the experimental platform.The experimental results show that the maximum error of the measured three-phase current is 2.42%and the maximum phase error is 2.77°in the case of three-phase balance.In the case of three-phase imbalance,the maximum error of the measured three-phase current is 2.52%and the maximum phase error is 4.17°.The experimental results verify the feasibility and effectiveness of the method.