Multi-objective optimization for efficient modeling and improvement of the high temperature PEM fuel cell based Micro-CHP system
Introduction
When generating electricity has been directed from power plans to a location near the user, it is possible to use generating heat. About 9% of electricity is wasted on transmission lines. Therefore, a significant amount of energy savings can be achieved when electricity is generated at the site and a significant portion of the heat produced can be used. Another advantage of CHP is that energy security is increased and the vulnerability of the lines is reduced. High-efficiency hybrid cycle power plants convert about 50% of the available energy into electrical power. The micro-CHP units use the heat dissipation of the generator for heating and cooling to increase overall system efficiency [1].
Due to the small size of the CHP units, it is important to note that these units operate at a lower efficiency than the large central power plants. However, if generating heat is used effectively, the overall efficiency can be much higher than the central power plant that is only designed to generate electricity. Another disadvantage is relying on the availability of refined fuel. Large power plants are capable of converting raw refined fuels such as coal into useable power. Small generators need clean fuels like natural gas to work cleanly [2,3].
On the other side, the increasing requirement for energy and the limitation of natural energy resources have made fuel cell research as one of the interesting topics of the researchers. However there are still problems with fuel cells, it has advantages over other power generation equipment such as non-pollution, high energy conversion efficiency, silent operation and high reliability, and is hoped to be one of the main sources of energy in the future. Fuel cells have many advantages over other sources of energy production. That is why a clear perspective is possible for these systems. The micro-combined heat and power (micro-CHP) systems combined with fuel cells give better efficiency compared with ordinary micro-CHPs. Polymer exchange membrane fuel cells (PEMFCs) is a type of promising model of the fuel cells due to their high efficiency, low operating temperature, and fast start-up [4,5]. The PEMFCs are a kind of high efficiency converters with efficiency about 40%–50% in different power scales. Recently, there are several researches about PEMFCs [6,7]. For instance, Solsona et al. [8] introduced an experimental model for a low-temperature PEMFC system in the presence of humidifier. A control procedure was also utilized based on Nafion® membrane. The achievements were compared with empirical achievements.
Kumar et al. [9] proposed and studied on a practical model of PEMFC. The modality of the method was validated by ARX and ARMAX. MATLAB software was used for system identification. PI and PID controllers were adopted for handling the desired load current. Panagiotis et al. [10] introduced dynamical models by considering the electrical equivalent and the semi-empirical formulas for PEMFC. In addition, they proposed a transfer function based model for semi-experimental equations. In another research, Abbaspour et al. [11] introduced a reliable controller based on neural network for PEMFC modeling. The model considered the probability of happening serious damages between the partial pressure of hydrogen and oxygen in PEMFCs. The reason for using neural network was to consider the PEMFC nonlinearities in the problem. Napoli et al. [12] studied on the technical and the economical situation of the SOFC and PEMFC based micro-CHP plant. Results showed that a principal target among different conventional technologies is the investment cost. In 2015, A thermal and economical analysis was performed on a high temperature (HT-PEMFC) based CHP systems by Colella et al. [13]. The results declared that the average electrical power per-unit cost is so higher than the per-unit cost of heat recovery and electrical power.
Herdem et al. [14] performed analyzed on a HT-PEMFC based on gas fuelled methanol reformate system for mobile applications. The paper modeled methanol steam reformer system. Detailed parametric studies were performed, and the power is generated for portable power generation applications. Romdhane et al. [15]introduced an eco-dynamic model for a PEMFC based micro-CHP. The system included a micro-CHP system based on PEMFC. In the research, the eco-neighborhood efficiency of a site in North-West of France has been analyzed. The method has been validated and developed by empirical data.
The main purpose of this paper is to analyze the long-term efficiency of an HT-PEMFC based micro-CHP plant with performing multi-objective optimization. The main purpose is to employ net electrical efficiency and thermal generation as objectives function. Several parameters including auxiliary to process fuel ratio, steam to carbon ratio, anodic stoichiometric ratio, and fuel partialization are provided for design parameters. At final, to declare the advantage of the proposed method, the values of electrical production and the lifetime electrical performance have been compared.
Section snippets
System configuration
The proposed plant contains three mainstreams. The first stream is synthesis gas (syngas) stream which is a combination of hydrogen, carbon dioxide, and carbon monoxide. Syngas move from the steam methane reforming (SMR) reactor and finally go to the fuel cell anode. The second stream is the low pressure water flow which captures the cathodic outlet flow warmth. The third flow is the high pressure water flow which absorbs heat from heat exchangers before the water gas shift reactor and after
Improved collective animal behavior algorithm
The purpose of optimization is to find the most appropriate solution of the problem by considering the constraints. For a problem, there may be several solutions that are defined as a function called the objective function to compare and select the optimal solution. The choice of this function depends on the nature of the problem. Indeed, in optimization, the design variables have been determined such that the objective function is minimized or maximized. There are two principal approaches for
The objective functions for the proposed HT-PEMFC based micro-CHP
This paper considers a definite optimization procedure for objective functions. The idea is to employ the net electrical performance and the electrical power generation as the objective functions. It should be note that the effect of the degradation within the steam methane reformer and fuel cell stack are considered in the optimization.
The simulation has been applied to the first 14,000 h that is a satisfying lifetime for the HT-PEMFC based micro-CHP. The first 14,000 h has been divided into
The validation of the HT-PEMFC
For analyzing the improved models of the water gas shift reactor and steam methane reformer, the empirical data of an HT-PEMFC based CHP plant (Sidera30), designed by ICI Caldaie S.p.A [51] has been adopted. In addition, the same kinetic features and geometrics with the same operating conditions have been considered for the comparison with the empirical data. The validated parameters contain the outlet temperature of the super heater, the reformer outlet for the WGS reactor and the syngas
Conclusion
This study presented an optimal methodology for improving the efficiency of a HT-PEMFC based CHP plant during its lifetime. To do so, a new multi-objective optimization algorithm, called collective animal behavior was employed by assuming the fuel cell stack degradation for the first 14,000 h lifetime. The reason for improving the algorithm is to utilize chaos Tent mapping and Lévy flight mechanism to improve the algorithm premature convergence drawback. For analyzing the proposed method, a
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