Multiobjective differential evolution algorithm-based sizing of a standalone photovoltaic water pumping system

Abstract In this paper, a differential evolution based multiobjective optimization algorithm is proposed to optimally size a photovoltaic water pumping system (PVPS). Three weighted individual objectives are aggregated by a single function to optimize the configuration of PVPS. Loss of load probability, life cycle cost and the volume of excess water are considered as three individual objective functions. The proposed pumping system is supposed to provide a daily water volume of 30 m 3 with a static head of 20 m. The complexity of the initializing of the weights for each individual objective function is overcome by testing a wide range sets of weights. The performance of the system is tested based on hourly meteorological data. The performance results of the proposed system show that the loss of load probability and the average hourly water flow rate over a year time are around 0.5% and 3.297 m 3 /h, respectively. The life cycle cost, water deficit, and cost of water unit of the system are 9911 USD, 55.015 m 3 , and 0.045 USD/m 3 , respectively.

[1]  R. Storn,et al.  Differential Evolution: A Practical Approach to Global Optimization (Natural Computing Series) , 2005 .

[2]  Murat Ozturk,et al.  Energy structure of Turkey for sustainable development , 2016 .

[3]  Seddik Bacha,et al.  Sizing stand-alone photovoltaic–wind hybrid system: Techno-economic analysis and optimization , 2014 .

[4]  Hongxing Yang,et al.  Pumped storage-based standalone photovoltaic power generation system: Modeling and techno-economic optimization , 2015 .

[5]  Mohamed Faouzi Mimouni,et al.  Power management of a photovoltaic/battery pumping system in agricultural experiment station , 2015 .

[6]  Kamaruzzaman Sopian,et al.  Optimization of a PV/wind micro-grid for rural housing electrification using a hybrid iterative/genetic algorithm: Case study of Kuala Terengganu, Malaysia , 2012 .

[7]  R. P. Saini,et al.  A review on Integrated Renewable Energy System based power generation for stand-alone applications: Configurations, storage options, sizing methodologies and control , 2014 .

[8]  A. Hadj Arab,et al.  Loss-of-load probability of photovoltaic water pumping systems , 2004 .

[9]  Jinyue Yan,et al.  Economic optimization of photovoltaic water pumping systems for irrigation , 2015 .

[10]  Abdelhamid Midoun,et al.  Performance of a directly-coupled PV water pumping system , 2011 .

[11]  A. Acakpovi,et al.  Analytical method of sizing photovoltaic water pumping system , 2012, 2012 IEEE 4th International Conference on Adaptive Science & Technology (ICAST).

[12]  Dhiaa Halboot Muhsen,et al.  Parameters extraction of double diode photovoltaic module’s model based on hybrid evolutionary algorithm , 2015 .

[13]  Rainer Storn,et al.  Differential Evolution – A Simple and Efficient Heuristic for global Optimization over Continuous Spaces , 1997, J. Glob. Optim..

[14]  Mohd Amran Mohd Radzi,et al.  Multi-objective optimization of a stand-alone hybrid renewable energy system by using evolutionary algorithms: A review , 2012 .

[15]  Ceyda Olcan,et al.  Multi-objective analytical model for optimal sizing of stand-alone photovoltaic water pumping systems , 2015 .

[16]  Giovanna Cavazzini,et al.  A PSO (particle swarm optimization)-based model for the optimal management of a small PV(Photovoltaic)-pump hydro energy storage in a rural dry area , 2014 .

[17]  Wilfried Elmenreich,et al.  Novel simplified hourly energy flow models for photovoltaic power systems , 2014 .

[18]  Vitaliy Feoktistov.  Differential Evolution: In Search of Solutions , 2006 .

[19]  Pietro Elia Campana,et al.  Dynamic modelling of a pv pumping system with special consideration on water demand , 2013 .

[20]  Belkacem Bouzidi,et al.  New sizing method of PV water pumping systems , 2013 .

[21]  El-Ghazali Talbi,et al.  Metaheuristics - From Design to Implementation , 2009 .

[22]  José L. Bernal-Agustín,et al.  Sizing of off-grid renewable energy systems for drip irrigation in Mediterranean crops. , 2015 .

[23]  Jonathan Shek,et al.  Hybrid wind–photovoltaic–diesel–battery system sizing tool development using empirical approach, life-cycle cost and performance analysis: A case study in Scotland , 2015 .

[24]  Kamaruzzaman Sopian,et al.  A review of photovoltaic systems size optimization techniques , 2013 .

[25]  Y. Bakelli,et al.  Optimal sizing of photovoltaic pumping system with water tank storage using LPSP concept , 2011 .

[26]  Peter P. Groumpos,et al.  An optimal sizing method for stand-alone photovoltaic power systems , 1987 .

[27]  M. Kolhe,et al.  Performance analysis of a directly coupled photovoltaic water-pumping system , 2003, IEEE Transactions on Energy Conversion.