This work investigates the application of a Model Order Reduction technique based on the Cauer ladder network method to the air cored solenoid geometry of the number 35 benchmark problem from the Testing electromagnetic analysis methods series, approaching both source and discrete radius optimization tasks. A projection-based reduced-order model was developed to accelerate the optimization process, achieving an average computational speedup factor of 35 compared to full-order finite element simulations. For discrete radius optimization, the problem was reformulated as a source optimization, enabling effective model order reduction application. The multiport Cauer ladder network approach reduced to a superposition of magnetic fields due to the simplicity of the problem. The reduced order model preserved consistency with the full order model when a small enough element size was chosen in the finite element model during its creation process. The error of the proposed methodology is an order of magnitude lower than the lowest objective function values in the optima, therefore it is suitable for multi-objective optimization.

Due to the rise of e-mobility applications, there is an increased demand to create more accurate control methods, which can reduce the loss in an e-drive system. The accurate modeling of the rotating machines needs to resolve a partial differential equation system that describes the thermal and mechanical behavior of the different parts in addition to the electromagnetic design. Due to these models’ limited resources and high computation demand, they cannot be used directly for real-time control. Model order reduction methods have been of growing interest in the past decades and offer solutions for this problem. According to the processed literature, many model order reduction-based methods are used for a wide range of problems. However, a paper has not been published that discusses a model order reduction-based real-time control model that is actually used in the industry. This paper aims to summarize and systematically review the model order reduction methods developed for rotating electrical machines in the last two decades and examine the possible usage of these methods for a real-time control problem.