广义瞬时功率理论及其在电流检测中的应用研究  

Research on generalized instantaneous power theory and its application in current detection

作　　者：朱四维 田铭兴[1,2] 王江彬 Zhu Siwei;Tian Mingxing;Wang Jiangbin(School of Automation and Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070,China;Rail Transit Electrical Automation Engineering Laboratory of Gansu Province, Lanzhou Jiaotong University, Lanzhou 730070,China;School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049,China)

机构地区：[1]兰州交通大学自动化与电气工程学院,兰州730070 [2]兰州交通大学甘肃省轨道交通电气自动化工程实验室,兰州730070 [3]西安交通大学电气工程学院,西安710049

出　　处：《电测与仪表》2019年第9期110-116,共7页Electrical Measurement & Instrumentation

基　　金：国家自然科学基金资助项目(51367010);甘肃省科技计划项目(17JR5RA083)

摘　　要：首先利用条件变分的电路优化方法对广义瞬时功率理论进行了数学和物理推导,从而给出了更为广义的多相电路瞬时功率理论。然后从电流检测的角度给出了广义瞬时功率理论用于电流检测的电流及功率分解方法。给出了基于广义瞬时功率理论的电流检测方法,并直接给出了用于多相电路电流检测的具体框图。最后对文中的电流检测方法进行了MATLAB仿真,仿真效果说明了基于广义瞬时功率理论电流检测方法的正确性。另外,基于广义瞬时功率理论的这种电流检测方法有效避免了坐标变换以及对无功张量的直接运算,从而会有效减少硬件实施的环节。Firstly, a mathematical and physical derivation of the generalized instantaneous power theory is derived by using the circuit optimization method of conditional variation, thus a more generalized instantaneous power theory for multi-terminal circuit is given. Then, current and power decomposition method of the generalized instantaneous power theory is given from the aspects of the current detection in this paper. The current detection method based on the generalized instantaneous power theory is presented, and the block diagram of the current detection for multi-phase circuit is also given. Finally, the current detection method is simulated by MATLAB, and the simulation results show the correctness of the current detection method based on the generalized instantaneous power theory. In addition, the current detection method based on the generalized instantaneous power theory can effectively avoid the coordinate transformation and the direct operation of the reactive power tensor, which can effectively reduce the hardware implementation.

关 键 词：广义瞬时功率理论 多相电路 电流检测 MATLAB仿真 

分 类 号：TM714.1[电气工程—电力系统及自动化]