Generalizing the Blondel-Park transformation of electrical machines: necessary and sufficient conditions

Author

Liu, Xiaqjun Z. ; Verghese, George C. ; Lang, Jeffrey H. ; Önder, Melih K.

Author_Institution

Lab. for Electromagn. & Electron. Syst., MIT, Cambridge, MA, USA

Volume

36

Issue

8

fYear

1989

fDate

8/1/1989 12:00:00 AM

Firstpage

1058

Lastpage

1067

Abstract

It is well known that the position-dependent nonlinear state equations of certain electrical machines with linear magnetic characteristics can be transformed to a form in which the position dependence disappears. This so-called Blondel-Park (BP) transformation greatly simplifies the analysis of such machines. The authors extend the classical BP transformation to a more general class of electrical machines, present necessary and sufficient conditions for the existence of such a state transformation, give the explicit expression for all possible transformations, and discuss some of the consequences of their characterization. Several specific machine examples are used to illustrate the results

Keywords

machine theory; nonlinear equations; state-space methods; Blondel-Park transformation; electrical machines; linear magnetic characteristics; position-dependent nonlinear state equations; state transformation; Couplings; Differential equations; Magnetic analysis; Magnetic flux; Nonlinear equations; Stability analysis; Steady-state; Sufficient conditions; Synchronous machines; Voltage;

fLanguage

English

Journal_Title

Circuits and Systems, IEEE Transactions on

Publisher

ieee

ISSN

0098-4094

Type

jour

DOI

10.1109/31.192414

Filename

192414