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Opposition and Chaos-Based water cycle algorithm on Engineering Benchmark Problems

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 2025年第5期35卷

作者： Datta, Monalisa Sarkar, Dipu Das, Soumyabrata Natl Inst Technol Nagaland Elect & Elect Engn Dept Dimapur 797103 Nagaland India Techno Int New Town Elect Engn Dept Chakpachuria India Visveswaraya Natl Inst Technol Elect Engn Nagpur India

Chaos-based learning is a popular method that combines with optimized techniques to achieve the best fitness values by preventing early convergence and improving initial conditions. Chaos enhances the search process, while opposition learning helps improve the population development matrix, ultimately boosting result quality. This paper introduces two new concepts in machine learning. It proposes an improved Opposition and Chaos-based water cycle algorithm (OCWCA) to effectively achieve the best fitness value through cost calculation and to validate the results of objective functions on 15 engineering benchmark problems with constraints. The water cycle algorithm (WCA), a hydrology-based method, provides global search locations based on the flow of streams and rivers toward the sea using predefined control parameters to generate a population matrix. A convergence plot for OCWCA compared to WCA demonstrates significant improvement in results, incorporating learnings from the WCA method and yielding the best fitness data.

关键词： Constraint-based optimization water cycle algorithm opposition-based learning chaos-based learning engineering problem

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water cycle algorithm - A novel metaheuristic optimization method for solving constrained engineering optimization problems

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COMPUTERS & STRUCTURES 2012年 110卷 151-166页

作者： Eskandar, Hadi Sadollah, Ali Bahreininejad, Ardeshir Hamdi, Mohd Univ Malaya Fac Engn Kuala Lumpur 50603 Malaysia Semnan Univ Fac Engn Semnan Iran

This paper presents a new optimization technique called water cycle algorithm (WCA) which is applied to a number of constrained optimization and engineering design problems. The fundamental concepts and ideas which underlie the proposed method is inspired from nature and based on the observation of water cycle process and how rivers and streams flow to the sea in the real world. A comparative study has been carried out to show the effectiveness of the WCA over other well-known optimizers in terms of computational effort (measures as number of function evaluations) and function value (accuracy) in this paper. (c) 2012 Elsevier Ltd. All rights reserved.

关键词： water cycle algorithm Metaheuristic Global optimization Constrained problems Engineering design Constraint handling

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water cycle algorithm with evaporation rate for solving constrained and unconstrained optimization problems

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APPLIED SOFT COMPUTING 2015年 30卷 58-71页

作者： Sadollah, Ali Eskandar, Hadi Bahreininejad, Ardeshir Kim, Joong Hoon Korea Univ Sch Civil Environm & Architectural Engn Seoul 136713 South Korea Univ Semnan Fac Engn Semnan Iran Inst Teknol Brunei Fac Engn BE-1410 Bandar Seri Begawan Brunei

This paper presents a modified version of the water cycle algorithm (WCA). The fundamental concepts and ideas which underlie the WCA are inspired based on the observation of water cycle process and how rivers and streams flow to the sea. New concept of evaporation rate for different rivers and streams is defined so called evaporation rate based WCA (ER-WCA), which offers improvement in search. Furthermore, the evaporation condition is also applied for streams that directly flow to sea based on the new approach. The ER-WCA shows a better balance between exploration and exploitation phases compared to the standard WCA. It is shown that the ER-WCA offers high potential in finding all global optima of multimodal and benchmark functions. The WCA and ER-WCA are tested using several multimodal benchmark functions and the obtained optimization results show that in most cases the ER-WCA converges to the global solution faster and offers more accurate results than the WCA and other considered optimizers. Based on the performance of ER-WCA on a number of well-known benchmark functions, the efficiency of the proposed method with respect to the number of function evaluations (computational effort) and accuracy of function value are represented. (C) 2015 Elsevier B.V. All rights reserved.

关键词： water cycle algorithm Metaheuristics Global optimization Unconstrained Constrained Benchmark functions

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water cycle algorithm with adaptive sea and rivers and enhanced position updating strategy for numerical optimization

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NEURAL COMPUTING & APPLICATIONS 2023年第18期35卷 13387-13416页

作者： Tian, Mengnan Gao, Xingbao Yan, Xueqing Xian Polytech Univ Sch Sci Jinhua South Rd Xian 710048 Shaanxi Peoples R China Shaanxi Normal Univ Sch Math & Stat West Changan Ave Xian 710062 Shaanxi Peoples R China Shaanxi Normal Univ Sch Comp Sci West Changan Ave Xian 710062 Shaanxi Peoples R China

In this paper, a novel water cycle algorithm is presented by dynamically assigning sea and rivers and devising an enhanced position updating strategy. To effectively maintain the diversity of solutions and ensure the convergence of algorithm, an adaptive distance-based assignment mechanism is first developed to set sea, rivers and their corresponding streams. In this mechanism, the fitness values and position information of solutions are simultaneously considered, and the total number of sea and rivers is nonlinearly reduced during the search process. Meanwhile, an enhanced position updating strategy is designed to update the solutions by incorporating both the gravitational search and greedy strategy. Moreover, a modified evaporation operation is further proposed to dynamically refresh the search capability of algorithm by properly making full use of the promising information of solutions. Differing from the existing WCA variants, the proposed algorithm dynamically assigns sea, rivers and their streams, additionally incorporates the gravitational search and greedy strategy, and fully exploits the obtained promising information in the raining process. Then it could availably strengthen the search effectiveness and balance the exploration and exploitation. Finally, the performance of the proposed algorithm is evaluated by comparing with 12 typical algorithms on 30 CEC2017 benchmark functions. Numerical results show that the proposed algorithm has better performance.

关键词： Global optimization water cycle algorithm Sea and rivers assignment Position updating strategy

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water cycle algorithm Tuned Fuzzy Expert System for Trusted Routing in Smart Grid Communication Network

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IEEE TRANSACTIONS ON FUZZY SYSTEMS 2020年第6期28卷 1167-1177页

作者： Velusamy, Durgadevi Pugalendhi, GaneshKumar M Kumarasamy Coll Engn Dept Comp Sci & Engn Karur 639113 Tamil Nadu India Anna Univ Dept Informat Technol Reg Campus Coimbatore 641046 Tamil Nadu India

Finding an optimal route for reliable data delivery in the smart grid communication network (SGCN) is a challenging task due to its dynamic nature. Even though the rule set (RS) and membership function (MF) framed intuitively in our previous fuzzy logic (FL) approach performs the trusted routing satisfactorily, it consumes computational memory and reduces the energy efficiency of the node. To address this issue, in this article, we proposed a novel trust evaluation framework that employs water cycle algorithm (WCA) for automatic tuning of the rule set and membership function for the decision variable to route the packet in an adaptable manner. Variables like distance, link stability, and node honesty are considered for evaluation using WCA in three iterative processes, namely, exploitation, evaporation, and raining to find the near optimal if-then rules and points for the membership functions. An experimental setup is created using Network Simulator-2 (NS2) to evaluate the performance of the proposed trusted routing algorithm in SGCN. Extensive experiments are conducted for three cases, namely, 1) evaluating RS with fixed MF;2) evaluating MF with fixed RS;and 3) combined evaluation of MF and RS to evaluate the performance of the proposed model. From the simulation results, it is clear that the RS and MF generated by the proposed model is small and compact enough to provide reliable routing in SGCN.

关键词： Routing Smart grids Communication networks Bayes methods Expert systems Data communication Security Bayesian theory Dempster-Shafer theory fuzzy theory smart grid communication network trust management water cycle algorithm

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water cycle algorithm for solving multi-objective optimization problems

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SOFT COMPUTING 2015年第9期19卷 2587-2603页

作者： Sadollah, Ali Eskandar, Hadi Bahreininejad, Ardeshir Kim, Joong Hoon Korea Univ Sch Civil Environm & Architectural Engn Seoul 136713 South Korea Univ Semnan Fac Mech Engn Semnan Iran Univ Malaya Fac Engn Kuala Lumpur 50603 Malaysia

In this paper, the water cycle algorithm (WCA), a recently developed metaheuristic method is proposed for solving multi-objective optimization problems (MOPs). The fundamental concept of the WCA is inspired by the observation of water cycle process, and movement of rivers and streams to the sea in the real world. Several benchmark functions have been used to evaluate the performance of the WCA optimizer for the MOPs. The obtained optimization results based on the considered test functions and comparisons with other well-known methods illustrate and clarify the robustness and efficiency of the WCA and its exploratory capability for solving the MOPs.

关键词： Multi-objective optimization water cycle algorithm Pareto-optimal solutions Benchmark function Metaheuristics

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water cycle algorithm-based airflow control for oscillating water column-based wave energy converters

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PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING 2020年第1期234卷 118-133页

作者： M'zoughi, Fares Bouallegue, Soufiene Garrido, Aitor J. Garrido, Izaskun Ayadi, Mounir Univ Tunis El Manar Natl Engn Sch Tunis ENIT Lab Res Automat Control LARA Tunis Tunisia Univ Basque Country UPV EHU Engn Sch Bilbao Dept Automat Control & Syst Engn Automat Control Grp Bilbao 48012 Spain

The stalling behavior is a feature of the Wells turbine that limits the generated output power of power plants using this turbine. The NEREIDA wave power plant installed in the harbor of Mutriku in the northern Spanish shoreline constitutes an excellent example of this phenomenon. This article deals with the modeling, simulation and control of an oscillating water column unit within the NEREIDA wave power plant. The stalling behavior is investigated and two control strategies are proposed to avoid it. The first control approach is the airflow control which aims to adjust the airflow in the turbine duct using a proportional-integral-derivative controller tuned with the water cycle algorithm. The second control approach is the rotational speed control adjusting the rotor speed using the rotor-side converter of the back-to-back converter which is wired to the doubly fed induction generator. Results of comparative studies show a power generation improvement even relative to the real measured data.

关键词： Airflow control doubly fed induction generator maximum power point tracking oscillating water column power generation stalling behavior water cycle algorithm wave energy Wells turbine

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water cycle algorithm for solving the reliability-redundancy allocation problem with a choice of redundancy strategies

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COMMUNICATIONS IN STATISTICS-THEORY AND METHODS 2020年第11期49卷 2728-2748页

作者： Mahdavi-Nasab, Narges Ardakan, Mostafa Abouei Mohammadi, Mohammad Kharazmi Univ Dept Ind Engn Fac Engn Tehran Iran

This paper proposes a new mathematical model for the reliability-redundancy allocation problem (RRAP) with a choice of redundancy strategies. To maximize the reliability of a system, this model chooses the best redundancy strategy from among both active and standby ones for each subsystem. For those with a standby strategy, a continuous time Markov chain model is used to calculate the exact reliability values. In order to solve the proposed mixed-integer non-linear programing model, a powerful evolutionary algorithm, called water cycle algorithm (WCA), is developed and implemented on three famous benchmark problems. Finally, the results of different benchmark problems are compared with those previously reported to show the superiority of the proposed model and the efficiency of WCA.

关键词： Reliability optimization reliability-redundancy allocation problem choice of strategy continuous time Markov chain model water cycle algorithm

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water cycle algorithm-based PID controller for AVR

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COMPEL-THE INTERNATIONAL JOURNAL FOR COMPUTATION AND MATHEMATICS IN ELECTRICAL AND ELECTRONIC ENGINEERING 2020年第3期39卷 551-567页

作者： Pachauri, Nikhil SASTRA Univ Sch Elect & Elect Engn Thanjavur India

Purpose In a power system, the purpose of automatic voltage regulator (AVR) is the voltage control of synchronous generator. Power system stability and security depends on the AVR. Design/methodology/approach The present work is concentrated on the precise terminal voltage control of AVR system and simultaneously maintaining the stability of the system. Therefore, an optimal proportional-integral-derivative (PID) controller is proposed. An optimization technique inspired from Mother Nature, i.e. water cycle algorithm (WCA) is used to evaluate the optimum parameter values of PID controller leading to WCA-tuned PID (WCA-PID). The performance of WCA-PID is compared with other controller reported in the literature. Findings Simulation results show that WCA-PID regulates the terminal voltage more preciously and accurately in comparison to other controller. Further, it is more robust toward parametric uncertainty, set-point tracking and disturbance rejection in comparison to other controller reported in the literature. Originality/value The work is not published anywhere else.

关键词： Control systems Voltage regulation Automatic voltage regulator PID water cycle algorithm Robustness

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water cycle algorithm-based load frequency controller for interconnected power systems comprising non-linearity

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IET GENERATION TRANSMISSION & DISTRIBUTION 2016年第15期10卷 3950-3961页

作者： El-Hameed, Mohammed A. El-Fergany, Attia A. Zagazig Univ Elect Power & Machines Dept Fac Engn Zagazig 44519 Egypt

This study addresses proportional-integral-derivative (PID) optimal fine tuning of load frequency controllers for multi-area interconnected power systems. For realistic study, generation rate constraints are considered to increase system non-linearity. The proposed method is applied to equal and unequal multi-area interconnected power systems. A methodology based on water cycle algorithm (WCA) is proposed. WCA is applied to generate optimal fine settings for the four parameters of the PID. A constrained optimisation problem with relevant integral of time multiplied by summation of absolute errors as an objective function is established. The time-domain dynamic performances using the generated optimal PID parameters are demonstrated under disturbed load conditions. At this moment, to show the robustness of the cropped optimised PID parameters, sensitivity analysis under uncertainty conditions is made by varying the system parameters from their nominal values. Specifications of time-domain dynamic performances are compared with other competing and Ziegler-Nichols PID tuning techniques which attest the significance of the proposed WCA-based LFC. Finally, the proposed WCA-based PID controllers are verified against random step load perturbations with different sampling times.

关键词： load regulation frequency control power system interconnection three-term control nonlinear control systems time-domain analysis optimal control water cycle algorithm load frequency controller PID optimal fine tuning proportional-integral-derivative optimal fine tuning multiarea interconnected power systems constrained optimisation problem objective function time-domain dynamic performances disturbed load conditions sensitivity analysis WCA-based LFC WCA-based PID controllers random step load perturbations

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