[L-OP-211] Offline Optimizations Using Surrogate Models

 

Overview

Design automation has been highlighted as a key toward evolving the development process of electric machines. Optimizations that automatically analyze dimensions and other specifications that can satisfy the machine requirements are drastically advancing design automation. However, optimizations that run genetic algorithms (GA) require a significant number of finite element analyses (FEA). These simulations can take anywhere from several hours to multiple days even when using distributed or parallel computing. More and more optimizations require the use of three-dimensional models, but this creates a bottle neck due to the time required to run them. Offline optimizations are one approach to address this fundamental challenge to design automation.
Offline optimizations explore Pareto solutions quickly by utilizing surrogate models created in advance in place of FEA. Optimizations can run analyses over and over in a short time because no new FEA are necessary. Offline optimizations are advantageous during the initial design stage when narrowing down the type of motor and changing design requirements.
This case study runs an offline optimization to explore the optimal geometry for an axial gap motor to maximize average torque and minimize losses. A constraint condition anticipates the inverter voltage will change from 120 volts to 100 volts. The use of a surrogate model reduces the time required for the optimization to about 1/25th that of one using only FEA.

Axial Gap Motor
Axial Gap Motor

Optimization Requirements

Design variables Frame width, inner/outer diamter of magnets, flatness ratio, and current amplitude/phase
Constraint
conditions
Voltage change: 120 (V) or less to 100 (V)
Objective functions Maximize average torque/ minimize losses

Fig. 1 Axial Gap Motor and Optimization Requirements
This case study runs a parametric optimization of an axial gap motor. As outlined in the table on the right, the constraint condition changes the inverter voltage from 120 volts to 100 volts.

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