Integrated computational intelligent paradigm for nonlinear electric circuit models using neural networks, genetic algorithms and sequential quadratic programming

• Published in: Neural computing & applications Vol. 32; no. 14; pp. 10337 - 10357
• Main Authors: Mehmood, Ammara, Zameer, Aneela, Ling, Sai Ho, Rehman, Ata ur, Raja, Muhammad Asif Zahoor
• Format: Journal Article
• Language: English
• Published: London Springer London 01.07.2020; Springer Nature B.V
• Subjects: Accuracy; Artificial Intelligence; Artificial neural networks; Boundary value problems; Circuit design; Circuits; Comparative studies; Computational Biology/Bioinformatics; Computational Science and Engineering; Computer Science; Computer simulation; Data Mining and Knowledge Discovery; Genetic algorithms; Image Processing and Computer Vision; Inductance; Monte Carlo simulation; Neural networks; Nonlinear systems; Original Article; Probability and Statistics in Computer Science; Quadratic programming; RL circuits; Robustness (mathematics); Sequential quadratic programming; Nonlinear systems; Nonlinear electric circuits; Artificial neural networks; Genetic algorithms
• ISSN: 0941-0643; 1433-3058
• DOI: 10.1007/s00521-019-04573-3

In this paper, a novel application of biologically inspired computing paradigm is presented for solving initial value problem (IVP) of electric circuits based on nonlinear RL model by exploiting the competency of accurate modeling with feed forward artificial neural network (FF-ANN), global search efficacy of genetic algorithms (GA) and rapid local search with sequential quadratic programming (SQP). The fitness function for IVP of associated nonlinear RL circuit is developed by exploiting the approximation theory in mean squared error sense using an approximate FF-ANN model. Training of the networks is conducted by integrated computational heuristic based on GA-aided with SQP, i.e., GA-SQP. The designed methodology is evaluated to variants of nonlinear RL systems based on both AC and DC excitations for number of scenarios with different voltages, resistances and inductance parameters. The comparative studies of the proposed results with Adam’s numerical solutions in terms of various performance measures verify the accuracy of the scheme. Results of statistics based on Monte-Carlo simulations validate the accuracy, convergence, stability and robustness of the designed scheme for solving problem in nonlinear circuit theory.