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首页> 外文期刊>Energy Conversion & Management >Gibbs energy minimization using Lagrange method of undetermined multipliers for electrochemical and thermodynamic modeling of a MCFC with internal steam reforming
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Gibbs energy minimization using Lagrange method of undetermined multipliers for electrochemical and thermodynamic modeling of a MCFC with internal steam reforming

机译：使用内部蒸汽重整的MCFC电化学和热力学建模的未确定倍增器的Lagrange方法使用Lagrange方法最小化

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摘要

Precise determination of the chemical equilibrium state is important for electrochemical and thermodynamic modeling of a molten carbonate fuel cell (MCFC). One method for determining the equilibrium state of a MCFC with internal reforming is to compute the total Gibbs free energy of the system (G) and minimize it by adjusting the molar amounts of each substance. Multi-dimensional optimization algorithms can be used for this purpose. The Lagrange method of undetermined multipliers as a powerful analytical solution is used in the present work to estimate chemical equilibrium state. Under this condition, the effects on voltage losses, output voltage, stack power, efficiency and molar portions of the exhaust chemical species at the anode and cathode are investigated, separately of such parameters as current density, reaction temperature, stack pressure as well as fuel and carbon dioxide utilization ratios. A simulation of a MCFC stack performance by the Lagrange method at a specified state, results in an efficiency of 50.3% and output power of 554.3 kW.
机译：精确测定化学平衡状态对于熔融碳酸盐燃料电池（MCFC）的电化学和热力学建模是重要的。用于确定具有内部重整的MCFC的平衡状态的一种方法是计算系统（G）的总吉布斯自由能，并通过调节每种物质的摩尔量最小化。可以为此目的使用多维优化算法。未确定乘法器作为强大分析解决方案的拉格朗日方法用于本作估计化学平衡状态。在这种情况下，对阳极和阴极处的排气化学物质的电压损耗，输出电压，堆叠功率，效率和摩尔部分的影响，分别为电流密度，反应温度，堆压以及燃料。和二氧化碳利用率。 Lagrange方法在指定状态下模拟MCFC堆栈性能，导致50.3％的效率和554.3kW的输出功率。

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