瞬时无功理论变换矩阵系数推导及α-β与dq0变换关系分析  

Deduction of Coordinate Transform for Instantaneous Reactive Power Theory and Analysis on Relationship between α-β and dq0 Transformation

作　　者：但扬清[1] 刘文颖[1] 朱艳伟[1] 

机构地区：[1]华北电力大学电力系统保护与动态安全监控教育部重点实验室,北京102206

出　　处：《电力科学与工程》2011年第5期16-19,共4页Electric Power Science and Engineering

摘　　要：瞬时无功理论中,赤木泰文提出了α-β变换,但未能够详细地说明α-β变换变换矩阵系数的由来。由于该变换是在平面域内提出的,基于功率守恒,给出了在平面内变换矩阵系数的严格数学推导,解决了瞬时无功功率理论的系数推导问题。鉴于目前在谐波电流检测中,有两种广泛应用瞬时无功理论:α-β变换和dq0变换,谐波检测中二者哪个更具有优势,通过理论推导,找到了两种变换之间的关系。指出对于三相对称电路,二者计算得到的含有谐波与基波成分电流是大小相只差一个比例,相位超前与滞后的关系。分析对理解和应用谐波电流检测法具有重要意义。Instantaneous reactive power theory(IRPT) proposed by H.Akagi is shortage of detail explanation on the matrix coefficient of α-β transformation.Based on power conservation,the matrix coefficient is deduced in-plane.As the transformation was given out in plane domain,the matrix coefficient is deduced in-plane by rigorous mathematical deduction based on power conservation.Consequently,the coefficient deduction for IRPT is solved.In the view of there being two kinds of instantaneous reactive theories widely used in harmonic current detection,the α-β transformation and dp0 transformation,which one is better or is same is a problem.In order to find this,the relationship between the α-β transformation and dp0 transformation is discovered through theoretical deduction,pointing out that the currents containing harmonic and fundamental got through the two methods are of the relationship of a proportion difference in size,and one's phase lagging behind the other's.The analysis in this paper is available for understanding and application of this harmonic current detection method.

关 键 词：瞬时无功理论 α-β变换 DQ0变换 变换矩阵系数 

分 类 号：TM714.3[电气工程—电力系统及自动化]