Extreme Approach to Optimizing the Process of Electrical Discharge Profiling of Diamond Tool

Abstract

The process of electrical discharge profiling of diamond tool is regarded as a stochastic control object from the point of view of the analysis of factors affecting its productivity. The selection of optimal modes can significantly improve the quality indicators of this process. For this improvement, a model of electrical discharge profiling is developed using the example of diamond grinding wheels, which allows making an informed selection of optimal control modes for this process. The main factor that reduces productivity is the insufficient average power released in the interelectrode gap during electrical discharge machining of the workpiece. The dependence of the indicated power on the size of the interelectrode gap and on the frequency and amplitude of technological pulses is extreme, which determines the choice of approach to optimizing the process. To ensure extreme power control, it is proposed to use the Gauss-Seidel coordinate descent method for two parameters: the size of the interelectrode gap and the amplitude of the pulse generator. The search algorithm for the extremum of the static characteristics of the inertial object for each coordinate is performed with the help of the recursive least squares method.