Abstract
A closed-form solution of the electromagnetic field equations for a three-phase squirrel-cage induction motor is presented. The analysis starts from the application of the Galilean transformation to Maxwell equations for moving media at constant speed. The induction motor is modelled as five concentric cylindrical layers representing the different construction components of the motor. By solving the Helmholtz and Laplace equations for conducting and non-conducting layers, we obtain a coupled set of Bessel and Euler equations that are solved analytically. The obtained formulas allow for the efficient calculation of important information for the designer regarding the electromagnetic fields, losses, force and torque. Parametric analyses are shown for illustration of the benefits of the closed form solution. The analytical expressions are validated against finite element simulations. Analytical expressions to compute the parameters of the equivalent circuit from the dimensions of the motor are also provided.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 62-70 |
| Number of pages | 9 |
| Journal | International Journal of Power and Energy Systems |
| Volume | 33 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2013 |
Keywords
- Electromagnetic fields analysis
- Galilean transformation
- Induction motors
- Motor design
ASJC Scopus subject areas
- Energy Engineering and Power Technology
- Applied Mathematics
- Electrical and Electronic Engineering