Mathematical Model of Power Losses in the Asynchronous Engine According to the M-shaped Equivalent Circuit in a Simulink Package
Now in the agro-industrial complex is widely used frequency-controlled electric drives with squirrel-cage asynchronous motors. The effectiveness of their use is determined largely by the reasoned use for specific processes and the choice of the optimal management method, taking into account the specifics of agricultural production. It is necessary to solve the problem of assessing the consumption of electric energy to justify its economic efficiency of an asynchronous motor. (Research purpose) The research purpose is to develop a mathematical model of an asynchronous motor to determine the characteristics of the operating mode and to determine the effect of the supply voltage and load on the loss in the engine. (Materials and methods) The studies were performed by modeling the engine in the MATLAB mathematical system using the Simulink package. The replacement scheme of the asynchronous motor in the form of a logical set of conductivities for the stator and rotor windings was considered. It was determined that the transition is performed based on known formulas for the conversion of an electrical circuit with a series connection of resistances into an equivalent electrical circuit with a parallel connection of conductivities. (Results and discussion) The decided tasks on the basis of theoretical and experimental methods: mathematical and physical simulation of the investigated processes with the use of modern measuring and computing machinery, and carrying out statistical processing of experimental data were solved. (Conclusion) Analytical dependences of conductivities for the proposed scheme were calculated and the corresponding power and currents were calculated. MATLAB developed a model of an asynchronous motor, which allows to simulate the modes of operation of the asynchronous motor and to identify the power loss at different methods of its load and power.