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Power factor definition in single phase system with arbitrary waveform according to similarity
Authors:Zhi‐Bin Ling  Chao‐Ping Deng  Peng‐Sheng Ye
Affiliation:1. Electrical Engineering Department , Shanghai Jiaotong University , Shanghai, 200030, P.R.C. Phone: 086–21–63932379;2. Fax: 086–21–63932379;3. E-mail: lingzhibin@sjtu.edu.cn;4. Electrical Engineering Department , Shanghai Jiaotong University , Shanghai, 200030, P.R.C.
Abstract:Abstract

A new definition of power factor, which is suitable for an arbitrary waveform of voltage and current in a single‐phase system, is presented according to similarity between voltage and current waveforms. The similarity is described in infinite dimensions real vector space, and the power factor is defined as the multiplication of rootmean‐ square (RMS) value factor λ RMS and phase factor λ?. The new definition is compatible with IEEE Trial‐Use Standard 1459–2000, and can be a useful reference for power factor measurement, power factor correction and power compensation.
Keywords:arbitrary waveform  similarity  power factor
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