An optimized reduction technique via firefly algorithm and gravitational search algorithm

Abstract

To improve effluent quality of a wastewater treatment plant (WWTP), an optimized model order reduction (MOR) for the high order WWTP system is proposed. A high order model may lead to inefficient analysis of the system and can be computationally expensive. Hence, an accurate and suitable reduced order model needs to be obtained. In this research, an optimized MOR algorithm is proposed by the combination of Frequency Domain Gramian based Model Reduction (FDIG) and Singular Perturbation Approximation (SPA). To reduce the high order model to lower order model with minimum reduction error, optimization techniques of Firefly Algorithm (FFA) and Gravitational Search Algorithm (GSA) is applied. To show the effectiveness of the proposed technique, a case study on WWTP is utilized. From the results obtained, the optimized reduced order models obtained is a 9th order system which yield the lowest reduction error while preserving the stability of the original system.