Теоретически установленная независимость амплитуд тока и момента синхронной машины с индуктивной нагрузкой от частоты

Abstract

The current and torque of an inductive synchronous electrical machine operating on an inductive load are considered. For an inductive synchronous machine operating on an inductive load, the following theorem is valid: the amplitude of the current through the inductive load of an inductive synchronous electrical machine does not depend on the rotation frequency. This theorem is proved by equating the Kirchhoff second law and the law of electromagnetic induction as applied to a rotating machine. The following theorem is also valid: the torque amplitude for an inductive synchronous electrical machine operating on an inductive load does not depend on the rotation frequency. This theorem is proved by analyzing the Ampere law as applied to a rotating machine. It has been established that with an active load, the current and torque amplitudes depend linearly on the machine rotation frequency. With the machine operating on a capacitive load, the current and torque amplitudes are quadratic functions of the rotation frequency. The dependence of the machine power on the nature of its load is established. For an inductive load, the reactive electrical power is a linear function of the frequency; for a resistive load, the machine power is a quadratic function of the frequency; and for a capacitive load, its power is a cubic function of the frequency. For a synchronous capacitive machine operating on a capacitive load, the following theorems are valid: The voltage amplitude across the capacitive load of a capacitive synchronous electrical machine does not depend on the rotation frequency. The torque amplitude for a capacitive synchronous electrical machine operating on a capacitive load does not depend on the rotation frequency.