Simulation 1 Synchronous Machine Modeling Digital Simulation of

Simulation # 1 Synchronous Machine Modeling Digital Simulation of Dynamic Performance of a 2 -Phase Synchronous Machine (Motor Operation) Professor: Ali Keyhani

Digital Simulation of Dynamic Performance of a 2 Phase Synchronous Machine (Motor Operation) Objective: To study the dynamic and steady state behavior of a two-phase synchronous machine. Problem: The machine to be studied has 2 -pole, 2 -phase, 75 hp, 440 volts, 60 Hz salient-pole synchronous machine with the following parameters: Assume prior to the torque disturbance the machine is operating at with the field current adjusted so that the steady-state excitation voltage is equal in magnitude to the source voltage. 2

Digital Simulation of Dynamic Performance of a 2 Phase Synchronous Machine (Motor Operation) Calculate the following: 1. (5 points) The numerical values of the machine dynamic equations in the state space representation as a function of i. e. where, and 2. (5 points) The prime mover dynamic equations in the state space representation. i. e. where, and 3. (10 points) For steady-state motor operation, calculate and ( i. e. when ) , , , 3

Digital Simulation of Dynamic Performance of a 2 Phase Synchronous Machine (Motor Operation) Bonus (10 points) a) The numerical values of the machine and prime mover dynamic equations in the state space representation i. e. where, and for small perturbation about the steady-state operating points. b ) Calculate the eigenvalues of the system and discuss their physical significance. 4