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This paper presents a new design, numerical modeling, and experimental validation of a high-force linear actuator with permanent magnets. The proposed linear actuator solution is designed similarly to a classical electromagnet but is equipped with NdFeB permanent magnets and an auxiliary magnetic circuit. These auxiliary components produce a high static holding force when the actuator functions in one of its main operating positions. Like most linear actuators, the new solution has two operating positions: maximum air gap (open position) and minimum air gap (close position). This article aims to present the novel design, the working principle, and the implementation and experimental results of the actuator. The numerical solution of the actuator was obtained using the FEMM package, in which the electromagnetic parameters were computed. The force produced by the actuator was determined using the LUA script incorporated in FEMM. Numerical integration obtained other mechanical parameters (acceleration, work, and speed) with MATLAB.

The Hănțilă method has proven its effectiveness in solving non-linear three-phase circuits. It is the only effective method for analyzing non-linear three-phase circuits containing machines with different sequence reactances. Since solving a system of equations is unnecessary, the computational effort is reduced, and a large number of harmonics can be considered. The convergence of the method is certain - demonstrated mathematically and allows the use of overrelaxation. To develop the method, we analyze the efficiency of computing a dynamic overrelaxation factor for accelerating the computational algorithm.