13-09-2013, 02:06 PM
Reference Frame Theory
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Reference Frame Theory
• Power of Reference Frame Theory:
3⁄4Eliminates Rotor Position Dependence
Inductances and Capacitances
3⁄4Transforms Nonlinear Systems to Linear
Systems for Certain Cases
3⁄4Fundamental Tool For Rigorous Development
of Equivalent Circuits
3⁄4Can Be Used to Make AC Quantities Become
DC Quantities
3⁄4Framework of Most Controllers
History of Reference Frame Theory
• 1929: Park’s Transformation
3⁄4 Synchronous Machine; Rotor Reference Frame
• 1938: Stanley
3⁄4 Induction Machine; Stationary Reference Frame
• 1951: Kron
3⁄4 Induction Machine; Synchronous Reference Frame
• 1957: Brereton
3⁄4 Induction Machine; Rotor Reference Frame
• 1965: Krause
3⁄4 Arbitrary Reference Frame