Machine analysis : being a study of the application of the finite element method for solving the two-dimensional field of the single-phase shaded-pole induction motor
This thesis contains eight chapters, dealing with machine analysis and representation. A definition and a brief survey of previous investigation devoted to shaded-pole motors and the application of finite element method for solving the two-dimensional electromagnetic field is given in Chapter 1. An outline of the present investigation is also given. In Chapter 2, the experimental requirements and details of the equipment are given. This includes the techniques of recording the transient torque patterns and the method of measuring the complete torque-speed characteristics. The experimental methods for parameters determination are also mentioned. The finite element method is outlined in Chapter 3. This chapter deals also with the assumptions made, the formulation of the non-linear energy function, the solution of Poisson's equation and an example of a simple shape contianing 16 elements for illustrating the method. In Chapter 4, the computer program for the finite element is outlined. The iteration process and the numerical representation of the magnetization curve are mentioned. Application of the finite element method to the shaded-pole motor is also given. Calculation of parameters by finite element technique is given in Chapter 5. Self inductance is calculated using the concept of stored energy and the results of self and mutual inductances are tabulated. Basic performance equations of an electrical machine are derived in Chapter 6. Solution of the basic performance equations, by a step-by-step numerical method, is also given. In Chapter 7, the steady state performance equations are established in terms of harmonic currents and inductance coefficients. The flux linkages are evaluated by the approximated functions of mutual inductances. The electromagnetic torque is calculated from the stored energy in the magentic field. General conclusions and suggestion for further work are mentioned in Chapter 8.