基于分形盒维数的典型电能质量扰动辨识

Genghuang Yang, Yuliang Liu, Li Zhao, S. Cui
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引用次数: 4

摘要

电能质量扰动辨识是电力系统的一项重要技术,特别是在实现电力市场化的条件下。PQD产生源的不同,导致其异常性和复杂性的差异。分形维数是表征PQD异常性和复杂性的一种手段,在PQD识别中具有一定的应用潜力。传统的分形盒数维数是基于正方形的,在实际应用中混淆了坐标物理意义。双尺度分形盒计数维数基于包含PQD时间和范围的矩形。根据PQD的周期或准周期特性,导出了分形无标度范围的计算公式。通过简单的波形测试,证明了公式的有效性。典型PQD的分形盒计数维数较好地描述了PQD,特别是在识别方面。该方法是一种新的基于时间的PQD分析方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Typical Power Quality Disturbance Identification Based on Fractal Box Dimension
Power quality disturbance (PQD) identification is an important technology in power system especially when power market is realized. The producers of PQD are different which result in the difference of abnormity and complexity. Fractal dimension is a mean to characterize the abnormity and complexity of PQD and it is potential for PQD identification. Traditional fractal box counting dimension is based on the square which confuses the coordinate physical meaning in application. The dual-scale fractal box counting dimension is based on the rectangle in which time and range of PQD are included. The formulae for fractal scaleless range is developed based on the periodic or quasi-periodic characteristic of PQD. The formulae are tested by simple waveform and proved effective. Fractal box counting dimension of typical PQD depict the PQDs well especially in identification. The proposed method is a new time-based approach for PQD analysis.
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