Statistical optimization of frequency regulated induction electric drives with scalar control

Розроблено методику синтезу статистично оптимальних регуляторів асинхронних електроприводів з частотним скалярним керуванням, що працюють при стохастичних моментах навантаження. Визначені оптимальні структури регуляторів електроприводів такого класу в залежності від виду випадкових збурень. На прикладі моделювання роботи електроприводу дробарки зерна показано ефективність фільтрації статистично оптимальним регулятором високочастотних складових випадкових моментів навантаження та підвищення циклових показників енергоефективності електроприводу, таких як циклові ККД та коефіцієнт потужності.Purpose. Working out of technique of synthesizing statistically optimal controllers of induction electric drives with frequency scalar control operating under stochastic loads. Methodology. It is shown, that one of the ways of increasing the energy efficiency of induction electric drives at random changes of loads is to create closed systems of electric drives with statistically optimal regulators that would take into account the stochastic nature of the disturbances and acted as filters of occasional high frequency fluctuations. The structure of such controls depends on the statistical characteristics of stochastic loads – correlation function and spectral density. In this mode, the minimum loss in dynamic mode with random intensive changed loads is provided by criterion of minimum mean square error of optimal parameter control. In the case of frequency controlled electric drive such a parameter is the optimum rotor flux. Results. The optimal structures of regulators of electric drives under stochastic loads according to type of random disturbances are identified. Originality. The technique of statistically optimal synthesis with feature of the expansion of a random process load on average, served as a useful signal, and high-frequency fluctuations around the average value, served as barrier, is developed. Practical value. On an example of simulation of work of the electric drive of a crusher of grain it is shown efficiency of a filtration by statically optimal regulator of the high-frequency components of random torques of load, reduction of dispersions of its outlet parameters, increase of cyclic indicators of energy efficiency of the electric drive, such as cyclic efficiency and power factor