Fractional Order Linear Variable Differential Transformer: Design and analysis

Abstract

Linear Variable Differential Transformer (LVDT) is the most preferred displacement measurement transducer used in industries because of its simple design and proven reliability. The major challenge faced in LVDT is linearity in limited stroke range. In this paper, a fractional order model of LVDT is developed and its characteristics like sensitivity, nonlinearity and stroke range are analysed by considering fractional behaviour only in self-inductance, mutual inductance and both. The results presented in this paper shows that Fractional Order Linear Variable Differential Transformer (FOLVDT) provides high sensitivity with reduced nonlinearity compared to the conventional LVDT. The results also demonstrate that the FOLVDT can be operated for increased stroke range without compromising on sensitivity and linearity.