Experimental Study and Mathematical Modeling of an EDM System

Abstract

Purpose- The purpose of this research study is the analysis of an EDM system completely by considering all its subsystems simultaneously and developing a method to describe the EDM system based on its structure and developing a mathematical model to compare different EDM systems based on their final scores obtained from these mathematical models. In accomplishing this task first of all different subsystems of an EDM system has been identified by literature survey. After finding these subsystems the next step was to find out the interactions between them. These interactions between these subsystems has been shown as graph models. From these graph models a number of matrices has been developed and from these matrices a permanent function has been developed. This permanent function will give us the final mathematical values for a particular EDM system. By obtaining these mathematical values we can compare different EDM systems with each other and an optimum system can be find out. This final system which we have founded would give us the desired results. Methodology/approach – Elements constituting the EDM system have been identified with the help of literature survey and along with this the interaction between these subsystems have been identified. These all have been shown with the help of a graph model approach. The different variable permanent models and matrix models has been drawn to do the total analysis. Originality/value – This methodology of graph theory is a mechanism to do system wide optimization of an EDM system. Here through this paper an attempt has been made to do a comprehensive and integrated analysis of the EDM system. Keywords – EDM system, Performance matrix, Modelling, System analysis, Graph theory.