近年來電子元件大量的運用，造成電力品質嚴重受到污染，使得傳統機械電表在不平衡與諧波負載下以無法確切反應。使用數位訊號技術來實現電力品質的分析已成為目前趨勢，但以數位訊號技術來實現電力的量測，難免會有少許誤差存在。所以本論文將探討如何改善以FPGA在設計各種功率因數量測時，所造成的計算誤差，並針對此計算誤差所造成之原因進行說明與改善。文中會以Matlab來建構不同的系統電路，並且以單相全波二極體橋式電路為改善之說明，再以三相系統分別針對等效功率因數（Effective Power Factor）、算術功率因數（Arithmetic Power Factor）與基本波功率因數(Fundamental Power Factor)進行各種不同模擬分析與討論。最後再利用實測波形來驗證計算結果之準確性，由本文模擬改善後的結果顯示，總誤差平均值在0.064%左右。

In recent years, power electric components introduce harmonic pollution on electric power quality. It makes the traditional electromechanical power meter can not act exactly when it feeds unbalance and harmonic load. Power quality analysis now tends to use digital signal technology. But it is hard to avoid measurement errors in estimating power quality by digital signal technology. In this thesis, how to improve the errors by using FPGA is the research purpose. And it will investigate the errors in digital signal technology. The simulation circuits were created and measured by Matlab. Then it will discuss the case of single-phase full-wave bridge rectifiers. And then in the three-phase circuit, the effective power factor, arithmetic power factor, and fundamental power factor will be compared for different simulation analysis and discussion. In the end, the practical measured waveforms will verify the accuracy and feasibility. The total average error was about 0.064%.

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