12c dq Theory for PM Machine

12c dq Theory for PM Machine - dq Theory for Permanent...

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dq Theory for Permanent Magnet Synchronous Machine (PMSM)
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Park’s Transformation Stator quantities ( S abc) of current, voltage, or flux can be converted to quantities ( S dq0) referenced to the rotor. his conversion comes through the atrix This conversion comes through the K matrix. 0 1 0 dq abc abc dq S K S KS S here       2 / 1 2 / 1 2 / 1 3 / 2 sin 3 / 2 sin sin 3 / 2 cos 3 / 2 cos cos 3 2 me me me me me me K where (MIT’s notation)         1 3 / 2 sin 3 / 2 cos 1 3 / 2 sin 3 / 2 cos 1 sin cos 1 me me me me me me K           2 / 1 2 / 1 2 / 1 3 / 2 cos 3 / 2 cos cos 3 / 2 sin 3 / 2 sin sin 3 r r r r r r K or urdue’snotat ion)         1 3 / 2 cos 3 / 2 sin 1 3 / 2 cos 3 / 2 sin 1 cos r r r r r r
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Under motor reference convention for currents (i.e. the positive reference direction for currents is into the machine): abc abc S abc dt d λ i R v 0 1 0 0 0 1 s S R R For stator winding       0 1 0 1 0 1 dq dq S dq dt d λ K i K R v K      0 1 0 1 0 1 dq dq S dq t d λ K K i K KR v K K 1 0 0 dt  0 1 0 1 0 1 0 dq dq dq S dq dt d dt d λ K K λ KK i K KR v 0 1 0 0 0 dq dq dq S dq dt d dt d λ K K λ i
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12c dq Theory for PM Machine - dq Theory for Permanent...

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