Estimation of horizontal multilayer soil parameters using Newton interpolation polynomial and h-DETLBO method
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ORIGINAL PAPER
Estimation of horizontal multilayer soil parameters using Newton interpolation polynomial and h‑DETLBO method Kaushal Pratap Sengar1 · Kandasamy Chandrasekaran1 Received: 8 November 2019 / Accepted: 4 May 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract Soil parameters estimation is an essential step to design an electrical substation. In this article, a new approach to evaluate the parameters of unknown multilayer soil model is presented. Methodology based on Newton polynomial interpolation and hybrid of differential evolution and teaching learning-based optimisation technique (h-DETLBO) is used in the calculation of soil apparent resistivity. Here, h-DETLBO technique is used to obtain horizontal stratified soil parameters such as number of layers, resistivity and thickness of each layer. The results of the proposed method is verified by comparing data of experimental apparent resistivity obtained from field measurement available in the literature for horizontal stratified soil. Error between measured and theoretical apparent resistivity of soil stratification is estimated. The estimated error is further helps to identify the soil parameters. The effectiveness of this methodology is proved to apply it for different case studies, and obtained results are theoretically examined with recently reported techniques that ascertain the validity and efficiency. Keywords Grounding system · Multilayer soil · Newton polynomial · Optimisation · Soil resistivity
1 Introduction The grounding system of an electrical substation provides safety to both operator and equipment [1]. Before installing the grounding system, one should know about the earth structure such as number of horizontal stratified soil layers, thickness and resistivity of each layer for the given location [2–4]. A soil is rarely homogeneous and its resistivity varies at different depth. Such soil model is considered as a multilayer soil structure [5]. Grounding system performance greatly affects due to the variation of soil parameters [6]. Soil resistivity varies with climate change and reaches its maximum value during summer [7, 8]. Electrical behaviour of soil is noticed using its apparent resistivity [9, 10]. Therefore, many researchers focused to evaluate the apparent resistivity of complex soil model and its variation with respect to climate change. Apparent resistivity of soil is generally measured using Wenner method [11]. Theoretical * Kandasamy Chandrasekaran [email protected] Kaushal Pratap Sengar [email protected] 1
Department of Electrical Engineering, National Institute of Technology, Raipur, C.G, India
methods are also used to evaluate the nonlinear characteristics of soil structure with two-layer and three-layer soil models [12–15]. A theoretical approach to calculate the soil resistivity and to obtain apparent resistivity curves are reported in [9]. In [16], an analysis of apparent resistivity in multilayer soil is performed to estimate the soil parameters. It is complicate to evaluat
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