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This research aims to present a 3D multi‐objective approach regarding both magnetic and thermal characteristics associated with design of actuators.

The adjoint variable topology sensitivity equations are derived using the continuum method for 3D optimization. Convection interpolation function is proposed for density method of topologies such that convection term can be taken into consideration for practical design in the process of the optimization. In application of a C‐core actuator, the sensitivity is verified using the finite difference method (FDM). The proposed method is applied to the C‐core actuator and a single‐phase induction motor.

The thermal field is much more sensitive than electromagnetics that the weighing factor is investigated in the SPIM. Optimal topology result shows that cutting is needed.

A 3D topology optimization for magnetic and thermal systems using the finite element method is proposed.

Aims to discuss iron loss analysis and experimenting with linear oscillating actuator for linear compressor.

The iron loss analysis of the linear oscillating actuator is performed by using ANSYS and iron loss curves, which is obtained by an Epstein test apparatus.

The way to calculate the iron loss of the linear oscillating actuator for the linear compressor and the method to experiment the iron loss of that can be studied.

Iron loss analysis of the linear compressor considering the motor part and the structure part is needed.

Each iron loss analysis method examined here can be used to analyze the iron loss of the linear motor.