INCREASING THE ACCURACY OF JERK PREDICTION WHEN OPTIMIZING THE SPEED OF THE ELECTRIC DRIVE CONTROL SYSTEM

Abstract

The relevance of the work is due to the need to adapt the methods of the theory of optimal control to modern technical capabilities. The complexity of variational methods led to the creation of alternative means of optimization, which includes the N–i switching method. It differs in extreme simplicity, however, the generalization of the mathematical apparatus to an arbitrary order is implemented on the basis of simplifying assumptions, which reduces the effectiveness of the method applied to low-order systems. The purpose of this study is to improve the mathematical apparatus of the N–i switching method by bringing the settings of the controllers closer to the optimal ones on the basis of a refined calculation of the predicted transition trajectory. To achieve this goal, the following tasks were solved in the work: the construction of a fragment of the transition trajectory taking into account the action of the internal feedbacks of the electromechanical system is carried out; for the detailed diagram of the transient, which has the shape of a curvilinear trapezoid, a rectangular diagram equivalent in magnitude of the first integral over time is performed; the average value of the jerk on the interval of constancy of the voltage of the power converter is determined, and on this basis, the modified value of the feedback factor of the relay velocity controller is found; a comparative study of electric drive control systems with basic and modified settings was performed, confirming the effectiveness of the proposed solution. The result of the work is the supplement to the mathematical apparatus of the N–i switched method, focused on the optimization of second-order systems. Its implementation does not require the involvement of large additional resources and provides an improvement in the quality of transient processes. A promising direction for this study is the implementation of the proposed methodology in adaptive algorithms for setting up relay optimal control systems.