基于任意周期电压电流的无功功率定义及其数学模型  

The Definition Theory and Mathematical Model of Reactive Power for Arbitrarily Periodical Voltage and Current Waveform

作　　者：陈允平[1] 彭辉[1] 樊友平[1] 

机构地区：[1]武汉大学电气工程学院,湖北省武汉市430072

出　　处：《中国电机工程学报》2006年第4期105-112,共8页Proceedings of the CSEE

摘　　要：该文从物理学最基本的能量守恒定律出发,说明了电路中无功功率的物理本质,提出了描述各无功功率分量应采用无功电流、电压偶对的新概念,而不能采用传统的所谓无功电流分量概念,给出了描述无功功率的数学模型。文中提出的理论和方法适用于任意周期电压、电流,克服了传统无功定义和模型的缺陷和局限性,是一个普适的理论,具有明确的物理意义和简明的数学模型。文中还给出了若干计算实例和形成无功功率的新例子,说明了文中对传统无功功率理论推广的正确性和可行性。Based on fundamental energy conservation law, a new definition of reactive power for arbitrary periodical voltage and current waveform is given and its physical essence is described in the paper. A new concept called V/I pair to form component of reactive power is proposed. The concept can describe the physical mechanism of reactive power clearly. Then the mathematical model called power matrix is proposed. The matrix can be used to calculate all components of both active power and reactive power. After detailed analysis we can see that it is the V/I pair instead of reactive power components of voltage or current that can model reactive power of arbitrary periodical voltage and current. The new definition and its mathematical model are characterized by clear physical significance and strict mathematical derivation can be conveniently applied in analysis and control of power quality. Finally, some conclusions are reached, and some work examples are presented to verify the correctness and feasibility of the definition and its mathematical model.

关 键 词：电力系统 无功定义 电流电压偶对 数学模型 

分 类 号：TM71[电气工程—电力系统及自动化]