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The actuator is the essential part of the automatic control system of the diesel crankshaft rotation frequency. The actuator on base of the linear electromagnet is considered. The purpose of this paper is to determine the conditions of receiving minimum of the weight and to optimize the parameters of the actuator. The exact calculation of the leakage of the magnetic flux and the parameters of magnetic circuit allows to find the characterisctics of the actuator precisely. In order to investigate the magnetic field in the axi-simmetric and planar complex shaped bodies such a stator and rotor of the electrical machines we have to solve Maxwell equations in these bodies. In this paper we use the Finite element method to calculate the magnetic field because it makes possible to avoid the dificulties connected with the complex shape of the system. The results of this paper allows to choose the material, configuration and parameters of the actuator optimally.