To the question of modeling of a valve of synchronous machines based on quasianalytical method

The article deals with synchronous valve contactless DC machines. The possibility of developing simplified mathematical models of valve machines based on the equations of state of the valve magnetoelectric generator is described. The analysis of the applicability of the quasi-analytical method in the modeling of valve machines, indicating its advantages and disadvantages, as well as a comparative assessment with the method of Erugin-Breus. Based on the above analysis revealed a high complexity and a large amount of computation when using quasianalytical method in emergency modes of operation of the brushless DC machines. The paper presents a method of describing the operation of valve machines in the case of simple switching, on the basis of which it is possible to determine the switching angle by modeling on a computer. Dependences of the vector of instantaneous values of the rectified voltage at the active-inductive load of the generator are determined. Also, the paper shows the possibility of applying the method of reduction in order to convert a system of equations with periodic coefficients to control systems with a constant matrix of coefficients in any mode of operation of valve machines. The above transformation is necessary for the analytical solution of differential equations with a constant matrix of coefficients for the state vector and the formulation of the boundary value problem, which allows to determine the unknown boundary conditions.