Analysis of partly symmetrical machines by means of unitary transformation

✍ Scribed by D.W.C. Shen; H.N.G. Broadbent

• Book ID: 103076485
• Publisher: Elsevier Science
• Year: 1952
• Tongue: English
• Weight: 695 KB
• Volume: 254
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(52)90143-9

✦ Synopsis

The instantaneous impedance matrices of machines having electric and magnetic circuits on but one side of the air gap symmetrically arranged are shown to be Hermitian and unitary.

Unitary matrices containing variable base vectors are used to transform the operational equations relating voltages and currents in six circuits, viz., three stationary armature coils and three rotating field coils on salient pole.

The transformed equation is compact, convenient and amenable to transient solutions.

It is correlated to previous results obtained by Park's transformation in a simple manner.

An analysis is then made on asynchronous operation under balanced terminal voltages with the main field short circuited.

The results include the well-known Georges phenomenon of induction motor with single phase rotor.

PARTIALLY-SYMMETRICAL MACHINES

* This work has the support of the Electricity Association of Australia, whose funds were made available by the Electrical Research Board of C.S.I.R.O.