Single-Shunt Fault Diagnosis through Terminal Attenuation Measurement and Using Fibonacci Numbers

A method is proposed of single-shunt fault diagnosis in an N-section recurrent resistive ladder through terminal voltage attenuation measurement and using the Fibonacci number. The fault value is proportional to the forward and backward voltage attenuations in the ladder and some fixed Fibonacci numbers dependent on the number of sections of the ladder, thus making the evaluation very accurate. The fault location is then identified from the fault value and a single Fibonacci number, which is, in turn, related to the difference between the forward and a specified backward voltage attenuation. This unique nature of discrimination by this method, particularly of the fault section, allows a large tolerance in the attenuation measurement. Experimental results have been given along with pertinent discussions.