Robust Optimal Operation of Two‐Chamber Microbial Fuel Cell System Under Uncertainty: A Stochastic Simulation Based Multi‐Objective Genetic Algorithm Approach

This investigation is performed to study the optimal operation decision of two-chamber microbial fuel cell (MFC) system under uncertainty. To gain insight into the mechanism of uncertainty propagation, a Quasi-Monte Carlo method-based stochastic analysis is conducted not only to elucidate the effect of each uncertain parameter on the variability of power density output, but also to illustrate the interactive effects of the all uncertain parameters on the performance of MFC. Moreover, a systematic stochastic simulation-based multi-objective genetic algorithm framework is proposed to identify a set of Pareto-optimal robust operation strategies, which is helpful to provide an imperative insight into the relationship between the mean and standard deviation of output power density. The results indicate that (1) the coefficient of variance (COV) value of output power density has a linear relationship with the COV value of each uncertainty parameter as well as all interactive parameters; and (2) a significant performance improvement with respect to both mean and standard deviation of power density is observed by implementing the multi-objective robust optimization. These results thus validate that the proposed uncertainty analysis and robust optimization framework provide a promising tool for robust optimal design and operation of fuel cell systems under uncertainty.

[1]  Hubert A. Gasteiger,et al.  Handbook of fuel cells : fundamentals technology and applications , 2003 .

[2]  Aarne Halme,et al.  Modelling of a microbial fuel cell process , 1995, Biotechnology Letters.

[3]  Stefano Freguia,et al.  Microbial fuel cells: methodology and technology. , 2006, Environmental science & technology.

[4]  Byung Hong Kim,et al.  Direct electrode reaction of Fe(III)-reducing bacterium, Shewanella putrefaciens , 1999 .

[5]  W. Verstraete,et al.  Continuous electricity generation at high voltages and currents using stacked microbial fuel cells. , 2006, Environmental science & technology.

[6]  Ignacio E. Grossmann,et al.  Decomposition strategy for designing flexible chemical plants , 1982 .

[7]  Sang-Eun Oh,et al.  Voltage reversal during microbial fuel cell stack operation , 2007 .

[8]  Urmila M. Diwekar,et al.  An efficient sampling technique for off-line quality control , 1997 .

[9]  Ignacio E. Grossmann,et al.  Optimum design of chemical plants with uncertain parameters , 1978 .

[10]  Lyne Woodward,et al.  Maximizing power production in a stack of microbial fuel cells using multiunit optimization method , 2009, Biotechnology progress.

[11]  Kalyanmoy Deb,et al.  Muiltiobjective Optimization Using Nondominated Sorting in Genetic Algorithms , 1994, Evolutionary Computation.

[12]  Michel Perrier,et al.  Comparison of real‐time methods for maximizing power output in microbial fuel cells , 2010 .

[13]  Bruce E. Logan,et al.  Microbial Fuel Cells , 2006 .

[14]  Mark C.M. van Loosdrecht,et al.  Modelling microbial fuel cells with suspended cells and added electron transfer mediator , 2009 .

[15]  Efstratios N. Pistikopoulos,et al.  A novel flexibility analysis approach for processes with stochastic parameters , 1990 .

[16]  Mitsuo Gen,et al.  Genetic algorithms and engineering optimization , 1999 .

[17]  Byung Hong Kim,et al.  Challenges in microbial fuel cell development and operation , 2007, Applied Microbiology and Biotechnology.

[18]  Michel Perrier,et al.  Optimizing Treatment Performance of Microbial Fuel Cells by Reactor Staging , 2010 .

[19]  Byung Hong Kim,et al.  A mediator-less microbial fuel cell using a metal reducing bacterium, Shewanella putrefaciens , 2002 .

[20]  Kalyanmoy Deb,et al.  A fast and elitist multiobjective genetic algorithm: NSGA-II , 2002, IEEE Trans. Evol. Comput..

[21]  V. P. Agrawal,et al.  Computer aided robot selection: the ‘multiple attribute decision making’ approach , 1991 .

[22]  W. Verstraete,et al.  Microbial fuel cells: novel biotechnology for energy generation. , 2005, Trends in biotechnology.

[23]  Ajay K. Ray,et al.  Multiobjective optimization of an industrial styrene reactor , 2003, Comput. Chem. Eng..

[24]  Gyutai Kim,et al.  Identifying investment opportunities for advanced manufacturing systems with comparative-integrated performance measurement , 1997 .

[25]  Kishalay Mitra,et al.  Multiobjective dynamic optimization of an industrial Nylon 6 semibatch reactor using genetic algorit , 1998 .

[26]  D. Lovley The microbe electric: conversion of organic matter to electricity. , 2008, Current opinion in biotechnology.

[27]  Ignacio E. Grossmann,et al.  Design optimization of stochastic flexibility , 1993 .

[28]  M. V. van Loosdrecht,et al.  A computational model for biofilm-based microbial fuel cells. , 2007, Water research.

[29]  Ali Shanian,et al.  TOPSIS multiple-criteria decision support analysis for material selection of metallic bipolar plates for polymer electrolyte fuel cell , 2006 .

[30]  U. Diwekar,et al.  Efficient sampling technique for optimization under uncertainty , 1997 .

[31]  Willy Charon,et al.  Effects of temperature uncertainty on the performance of a degrading PEM fuel cell model , 2009 .

[32]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[33]  Yingzhi Zeng,et al.  Modelling and simulation of two-chamber microbial fuel cell , 2010 .

[34]  A. Mawardi,et al.  Effects of parameter uncertainty on the performance variability of proton exchange membrane (PEM) fuel cells , 2006 .

[35]  Derek R. Lovley,et al.  Bug juice: harvesting electricity with microorganisms , 2006, Nature Reviews Microbiology.

[36]  David L. Olson,et al.  Comparison of weights in TOPSIS models , 2004, Math. Comput. Model..

[37]  Arunas Ramanavicius,et al.  Hemoproteins in Design of Biofuel Cells , 2009 .

[38]  Jian-Bo Yang,et al.  Multiple Criteria Decision Support in Engineering Design , 1998 .

[39]  Bruce E Rittmann,et al.  Conduction‐based modeling of the biofilm anode of a microbial fuel cell , 2007, Biotechnology and bioengineering.

[40]  D. Lovley,et al.  Electricity generation by direct oxidation of glucose in mediatorless microbial fuel cells , 2003, Nature Biotechnology.