Numerically Efficient Finite Element Method Simulation of Voltage Driven Solid Rotor Synchronous Machines

Open Access
Author:
Petite, Pasha
Graduate Program:
Electrical Engineering
Degree:
Master of Science
Document Type:
Master Thesis
Date of Defense:
April 11, 2008
Committee Members:
  • Dr Heath Hofmann, Thesis Advisor
Keywords:
  • GMRES
  • synchronous reluctance machines
  • finite element method
  • shooting-Newton
Abstract:
This thesis applies a numerically efficient finite element method to the simulation of a two dimensional cross-section of a solid rotor synchronous machine. The finite element method is capable of determining the steady-state behavior of the machine in the presence of a periodic but otherwise arbitrary voltage input. This is achieved by iteratively simulating the system over a single period of the input voltage and modifying the initial state vector of the system until an initial state vector is found that results in a sufficiently close final state vector. The steady-state solution is solved using a shooting-Newton method. The shooting-Newton method is made more efficient through the use of a generalized minimum residual linear solver (GMRES). Results show that the shooting-Newton/GMRES method can be used to determine steady-state behavior in the presence of voltage inputs with generally non-uniform time steps. The results also show that the shooting-Newton/GMRES method is faster than conventional transient simulation at determining the steady state behavior of the machine model used.