THE ELABORETION OF THE MATHEMATICAL MODEL OF THE ASYNCHRONOUS MACHINE USING THE M-SHAPED SUBSTITUTION SCHEME IN THE SIMULINK PACKAGE
Introduction: the purpose of the work under analysis is to elaborate the mathematical model of the engine to determine the effect of the operating mode of the electric motor and the influence of the supply voltage on the losses in the motor. The studies were carried out by modeling in the mathematical system MATLAB using the Simulink package. It is done the scheme of substitution of an asynchronous machine in the form of a logical set of conductance for stator and rotor windings. Transition based on the known formulas for transforming an electrical circuit with series connection of resistance into the equivalent electrical circuit with parallel connection. Materials and methods: the solution of the tasks was carried out on the basis of theoretical and experimental methods such as mathematical and physical modeling of the processes under the study using modern measuring and computing techniques and statistical processing of experimental data. Results: a transition was made from a G-shaped replacement circuit containing active and inductive resistance to an equivalent M-shaped circuit for replacing one phase of an asynchronous machine containing active and inductive conductivities. The Matlab-models for an asynchronous electric motor are developed, allowing to perform the simulation of the electric motor operating mode and to determine the loss power in the electric motor for various ways of its power supply and load. Discussion: the useful feature of the worked out model is the possibility of its tuning to different forms of the output supply voltage for example from experimental data. When tuning the model, you can change both the frequencies of the harmonics and their amplitude. Based on the analytic dependence of the conductivity for the proposed substitution scheme, it is possible to calculate the corresponding current and power of the electric circuit. Conclusion: the Matlab model is elaborated for the M-shaped scheme for replacing one phase of an asynchronous machine. Based on the analytic dependence of the conductivity for the proposed substitution scheme, the current and power of the electric circuit corresponding to them can be calculated. The elaborated Matlab-models for an asynchronous electric motor, allow simulating the operation of the electric motor and determine the loss power in the motor for various ways of its power and load.