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For accurate power system dynamics, detailed models of synchronous machine are developed using ______.

  • A.Park's transformation
  • B.Gauss's equations
  • C.Maxwell's equations
  • D.Kirchhoff's laws

Answer: A

Detailed models of the synchronous machine for stability and dynamic studies are developed with Park's transformation (the dq0 transformation), which converts the stator quantities from the a, b, c frame to a frame rotating with the rotor. In that frame the inductances, which vary with rotor position in the abc frame, become constants and the equations become much simpler.


Maxwell's equations and Gauss's equations describe the electromagnetic field in general and are not used to build machine models in this way, and Kirchhoff's laws are only the circuit laws applied after the model is set up. The answer is option A.

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