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Unformatted text preview: Circuit Model for Operation of 3-Phase Synchronous Permanent Magnet Motor in Transients (Dynamics) 1. Circuit model The motor circuit model is shown in Fig.1. The circuit parameters are set up under the following assumptions: • All elements of the motor are linear and no core losses are considered, • Electromotive forces vary sinusoidally with the rotational electric angle ϕ e • Due to the surface mounted permanent magnets winding inductances are constant (do not change with the ϕ e angle). R A e A L A R B e B L B R C e C L C v A v B v C i A i B i C v SA v SB v SC Fig.1. Circuit model of 3-phase synchronous motor 2. Voltage Equation For 3-phase symmetrical winding supplied from the balanced 3-phase voltage the voltage equation in the matrix form is as follows: sA A AB AC A A A A s B B B B A B B C A A C C C C sC CA CB C v L L L R i i e d v R i L L L i e dt R i i e v L L L ⎡ ⎤ ⎡ ⎤ ⎡ ⎤ ⎡ ⎤ ⎡ ⎤ ⎡ ⎤ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ ⎢ ⎥ = + + ⎢ ⎥...
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This note was uploaded on 02/26/2012 for the course EE 4150 taught by Professor Wu during the Fall '10 term at LSU.
- Fall '10