谐波电流检测方法公式推导及内在联系探究

Formula Deduction and Study on Internal Relations of Harmonic Current Detection Methods

从数学角度推导了三种谐波电流检测方法(p-q法、d-q法、ip-iq法)所用变换的表达式,通过变换式的推导可以更好地理解三种检测方法的变换原理,得出三种方法的本质是一致的,造成变换式区别的原因在于概念定义和坐标系正方向规定的不同。通过对三种方法的分析及结论使p-q法、ip-iq法变换原理更加清晰,同时看出d-q法具有一定的物理意义,对理解和改进谐波电流检测方法有指导意义。

Expressions of transformation used in three harmonic current detection methods （ p - q, d - q, ip - iq ） were derived from the mathematics point of view, which was helpful to understand the transformation principle of three methods and draw a conclusion that the essence of three methods was consistent. The reason causing difference of them lied in that definition of concept and positive direction of coordinate system were different. Analysis and conclusions in this paper made the transformation principle ofp -q and ip - iq methods clear to understand and it was also knowed that d - q method had a certain physical meaning, which was available for understanding and improvement of harmonic current detection methods.