Instantaneous single-phase system power demonstration using virtual two phase theory

B. Dobrucký, M. Pokorny, M. Beňová
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引用次数: 2

Abstract

The paper deals with the virtual approach and application of orthogonal transform theory, used for ordinary single-phase system to its transformation into equivalent two-axes system. It is well known that the analysis of multiphase systems can be more simple using the Park/Clarke transform into two-axis stationary (alpha, beta) or rotary (d, q) reference frame. The above transform can be used for electrical machines as well as for power electronic systems. The projection of time state-space vector for any quantity of symmetrical three-phase system in Gauss complex plane (alpha + jbeta) shows out six-side symmetry of vector quantity trajectory. Then, analysis of such system can be focused on the interval equal to 1/6 of the time period only. It is clear that when using similar transform of single-phase quantity into equivalent two-axes orthogonal system it will be possible to use all advantages as in three-phase transformed system with respect of 4-side symmetry instead of 6-side of previous case. Analysis in such orthogonal coordinates system will then be identical to the three-phase one under Park/Clarke transform, including determination of instantaneous reactive power. The presented method creates a virtual two-phase system from the original singlephase system by adding a new fictitious phase. The new thought is based on the idea that ordinary singlephase quantity can be complemented by virtual fictitious phase so that both of them will together create orthogonal system, as is usual in three-phase systems. Application of above-mentioned theory makes it possible to use complex methods of analysis as instantaneous reactive power method. Both, the active and reactive powers can be determined by this way. Practical application of the method is outlined for the case of active and reactive power determination for single-phase power active filter, unified power flow controller, and dynamic voltage restorer, Fig.1 [14], [15], [17] - [19].
利用虚两相理论进行单相系统瞬时功率演示
本文讨论了普通单相系统的虚方法及其正交变换理论在等效两轴系统转换中的应用。众所周知,使用Park/Clarke变换到两轴静止(alpha, beta)或旋转(d, q)参考系,多相系统的分析可以更简单。上述变换可用于电机以及电力电子系统。任意数量对称三相系统的时间-状态-空间矢量在高斯复平面(α + jβ)上的投影显示出矢量轨迹的六面对称性。这样,对该系统的分析就可以只集中在1/6的时间段内。很明显,当使用类似的单相量转换成等效的两轴正交系统时,将有可能利用三相转换系统在4面对称方面的所有优点,而不是之前的6面对称。在这种正交坐标系下的分析将与Park/Clarke变换下的三相坐标系相同,包括瞬时无功功率的确定。该方法在原有单相系统的基础上增加一个虚拟相,形成虚拟的两相系统。这种新思想是基于这样的思想,即普通单相量可以用虚拟虚相补充,使两者共同形成正交系统,就像三相系统中通常的那样。上述理论的应用使瞬时无功法等复杂的分析方法成为可能。用这种方法可以确定有功功率和无功功率。以单相电力有源滤波器、统一潮流控制器、动态电压恢复器有功、无功功率确定为例,概述了该方法的实际应用,如图1[14]、[15]、[17]-[19]。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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