Modeling, Simulation and Optimization of Electromagnetic Systems



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Permanent magnet machines having Halbach Array exhibit a number of attractive features. Therefore, they have been increasingly applied to different market sectors, including aerospace, industrial, domestic, renewable, and healthcare. The need for fast global optimization, cost-effective design, and physical understanding of the relationship between parameters and performance requires a powerful analytical model. This Thesis develops a two-dimensional mathematical model estimating the torque of a Halbach Array surface permanent magnet motor. The magnetic field domain for the 2-D motor model is divided into five regions: slots, slot openings, air gap, rotor magnets and rotor back iron. Applying the separation of variable method, an expression of magnetic vector potential distribution can be represented as the Fourier series. By considering the interface and boundary conditions connecting the proposed regions, the Fourier series constants are determined. The proposed model offers a computationally efficient approach to analyzing SPM motor designs including those having a Halbach Array. Furthermore, design for traction Halbach Array motor is performed using the analytical model developed beforehand, according to two different duty cycles. In addition, global optimization via Analysis led Design procedure is proposed to evaluate the most effective design areas. The Neodymium Iron Baron magnet has been become more expensive over the last few years, increasing the awareness of cost-effective design. Meanwhile, the needs of high electromagnetic performance, including lower torque ripple and sinusoidal air-gap flux density, are also critically required. In order to meet such demands, magnet poles with unequal thickness, main design parameters, and Halbach magnetization are proposed in this thesis. Other than permanent magnet motors, Halbach Array configuration is proposed in double-sided magnetic lead screw (MLS). An analytical model is developed based on the subdomain method to calculate the magnetic field distribution. This allows calculating the electromagnetic performances such as the generated thrust force. The analytical model is deployed in early stage design process of a MLS. It has been incorporated within a simulation based analysis process. With the aid of developed analytical models and finite element analysis, the findings provide useful guidelines for design and analysis of permanent magnet machine and magnetic lead screw device having Halbach Arrays.



Electromagnetic systems, Analytical Modeling, Simulations, Halbach Array, Electric vehicles (EV), Electric Motors, Magnetic Lead Screw


Portions of this document appear in: Mallek, Moadh, Yingjie Tang, Jaecheol Lee, Taoufik Wassar, Matthew A. Franchek, and Jay Pickett. "An Analytical Subdomain Model of Torque Dense Halbach Array Motors." Energies 11, no. 12 (2018): 3254.