Mathematical model for predicting the state of health of transformers and service methodology for enhancing their life

This paper presents the analysis and modeling of the mathematical characteristics of the dissolved gases in the transformer oil for the purpose of working out a schedule for oil replacement and filtration, which in turn regulates the quality of oil when a fault has occurred. The stochastic characteristic of the gas generation inside the oil, has been monitored. A Markov model has been developed, to predict the state of health of a transformer. The mathematical model can optimize some of the design parameters of a transformer in which a fault has occurred, depending on the service frequency of various users and their choice of life expectancy of the transformer.