Derivation Empirical Formula of Inductance Gradient of Rails for Circular Bore Geometry Using Regression Analysis Technique

摘要

The inductance gradient of the rails is important parameter in rail gun system as it directly decides the force acting on the armature. For the past few decades numeric methods and analytical methods are developed and used to calculate inductance gradient of the rails. Problems which are simple in nature are solved by using analytical methods and numerical methods are required codes and program and it is being considered as a time consuming process. Hence easy technique needs to calculate inductance gradient of rail. Since the inductance gradient value is purely depends on rail dimensions and its properties now researcher focused to obtain a simple formula which can be used to compute the L' value with respect to rail dimensions. In this paper an effort is made to obtain empirical formula that can be used to compute the L' value using curve fitting software called Oakdale date fit engineering. This software uses regression analysis to obtain the empirical formula for given set of data. Circular bore geometry is considered as a case study in this paper.