Fuzzy mathematical programming as a tool in optimization of one-phase electrical circuits

K. Debowski
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Abstract

The application of fuzzy mathematical programming as optimization technique in one-phase electrical circuits with nonsinusoidal periodical waveforms and linear loads has been presented in the paper. The solution (active current) is determined as crisp one (real numbers) in frequency domain. It is obtained in the numerical way. This optimization leads to determine the source currents with minimal RMS value when the power constraints donpsilat have to be fulfilled strictly. The solution takes into consideration membership functions of power constraint and minimized RMS value of currents.
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模糊数学规划在单相电路优化中的应用
本文介绍了模糊数学规划作为优化技术在具有非正弦周期波形和线性负载的单相电路中的应用。在频域上确定其解(有源电流)为脆化解(实数)。它是用数值方法得到的。这种优化可以在不需要严格满足功率约束的情况下,确定具有最小均方根值的源电流。该方法考虑了功率约束的隶属函数和电流的最小均方根值。
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