单相非正弦电路电流分解与功率定义的研究

为进一步认识单相非正弦电路中的功率现象，获得电路补偿的信息和条件，对任意波形下的非正弦单相电路的功率进行了重新的定义。在傅氏分解的基础上，构造了欧氏赋范空间，通过坐标的正交变换得到电流向量在电压向量上的投影。投影的范数反映了有功电流和无功电流在电路中的分配比例。采用电压范数和电流范数乘积定义的功率具有明确的物理意义和数学表达，并可得到无功补偿在几何上的解释。给出了计算实例和仿真波形图。该方法是传统正弦功率理论的推广，对谐波抑制和无功补偿具有指导意义。

Study on Current Resolve and Power Definition in Single-Phase Nonsinusoidal System

The power phenomenon in the sinusoidal circuit can be explained well by the traditional power theory. But in the nonsinusoidal circuit, the conception of power is more complex. Therefore, further research is carried out to acquire the information and the condition on reactive power definition and compensation. New definition of the power in nonsinusoidal circuit with arbitrary waveform is defined. Based on Fourier transform, using the coordinates orthogonalization and the structure of Euclid space, the rectangular current vector projection in the Euclid space can be founded. The norm of the current vector reflects the proportion of the active current and reactive current. The definition that is defined by the product of the voltage vector norm and current vector norm features with specific physics meaning and definite mathematics expression. Also, the extent of reactive power compensation can be explained from geometry. This definition is derived from the traditional sinusoidal power theory and the fore is became a sheer case reasoningly. It acts as the guidance for reactive power compensation and harmonic restraint. The calculation example and emulational waveform are illustrated.