Implementing Interval Linear Equations Systems for Enhanced Circuit Analysis
Hema Surya Subramanian, Nirmala Thamaraiselvan, Ganesan Kandasamy · Mathematical Modelling and Engineering Problems · 2023
The present study is centered around the deployment of interval linear equations systems in circuit analysis.In the domain of circuit theory, each circuit, constituted by components such as resistance, inductance, and capacitance, can be mathematically represented as a system of linear equations.In the context of electrical circuits, interval representations of current or voltage are considered more informative than single precise values.This is attributed to factors including fluctuating environmental conditions, current variations, tolerances in electrical elements, and power harmonic leakage.The integration of interval linear equations systems becomes crucial in accommodating these variables.We propose an algorithm using a new type of arithmetic operations and pairing technique on intervals for the interval solution of interval linear equations systems.We provide a numerical example to highlight the usefulness of the suggested approach.We also discuss an electrical circuit problem under an uncertain environment by using the proposed algorithm and interval arithmetic operations.