Mathematical Simulation of Stationary Modes of the Induction Motor Under a Cyclically Variable Load

The paper presents algorithms that are based on a mathematical model of the induction motor and developed on the basis of the circuit theory and a projection method of solving the boundary value problem to obtain periodic dependencies of coordinates in a timeless domain and to calculate static characteristics. The steady-state periodic mode is described by a system of differential equations in the x and y coordinate axes. The magnetization characteristics are used to calculate the electromagnetic parameters of the motor corresponding sections of the magnetic circuit. The rotor winding is supplied in a form of a multi-layered structure formed by dividing the rotor bars by their height into several elements to take into account the current displacement.