FEA for Machine Design

Materials for the Workshop (July 31 - Aug 2, 2019)

Course Learning Objectives

This course will introduce students to the modern and classical methods used by engineers to design electromagnetic devices such as electric machines and transformers. The course will be separated into three main sections:

  • Introduction to the finite element analysis technique
  • Winding analysisand material modelling
  • Solve problems using commercial finite element analysis software

Course Outcome

Introduction to Finite Element Analysis Modelling

  • Classification of partial differential equations, boundary conditions
  • Review of electromagnetic theory: magnetostatics, quasi-statics, magnetic scalar potential
  • Variationalmethod: solving variationalproblems, PDE’s expressed as a variationalproblem
  • Ritz’s method, weighted-residual methods, Galerkinmethod.
  • Finite element method: illustrated example, shape functions, step-by-step solution procedure

Winding Analysis and Material Modelling

  • Permanent magnet material
  • Modelling permanent magnets using equivalent magnetic circuit models
  • Turns function, winding functions
  • Distributed winding function analysis
  • Pitch factor, distribution factor, slot opening factor
  • Fractional slot winding analysis
  • Concentrated winding analysis
  • Star of slot Analysis
  • Carter’s Coefficient

Problem Solving using commercial finite element analysis software

  • Magnetic coupling problems (transformer example) using finite element analysis
  • Fractional slot permanent magnet motor design problems
  • Magnetic circuit modelling of a Rotary PM motor
  • Salient Pole PM motors
  • Motor’s Voltage and Current Limit Circles

Homeworks and Projects