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In electrical engineering, direct–quadrature–zero (or dq0 or dqo) transformation or zero–direct–quadrature (or 0dq or odq) transformation is a mathematical transformation that rotates the reference frame of three-phase systems in an effort to simplify the analysis of three-phase circuits. The dqo transform presented here is exceedingly similar to the transform first proposed in 1929 by Robert H. Park.〔R.H. Park ''Two Reaction Theory of Synchronous Machines'' AIEE Transactions 48:716-730 (1929).〕 In fact, the dqo transform is often referred to as Park’s transformation. In the case of balanced three-phase circuits, application of the dqo transform reduces the three AC quantities to two DC quantities. Simplified calculations can then be carried out on these DC quantities before performing the inverse transform to recover the actual three-phase AC results. It is often used in order to simplify the analysis of three-phase synchronous machines or to simplify calculations for the control of three-phase inverters. In analysis of three-phase synchronous machines the transformation transfers three-phase stator and rotor quantities into a single rotating reference frame to eliminate the effect of time varying inductances. ==Definition== A power-invariant, right-handed dqo transform applied to any three-phase quantities (e.g. voltages, currents, flux linkages, etc.) is shown below in matrix form:〔P.M. Anderson and A.A. Fouad ''Power System Control and Stability'' IEEE Press (2003). ISBN 978-81-265-1818-0〕 : The inverse transform is: : 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Direct–quadrature–zero transformation」の詳細全文を読む スポンサード リンク
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