Optimal Oxygen Stoichiometry for Maximum Net Power Output of Proton Exchange Membrane Fuel Cell Systems
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Abstract
This paper investigates the issue of maximum net electrical power output for proton exchange membrane (PEM) fuel cell systems. Under certain operating points characterized by output current or equivalently load resistance, the electrical power output of the PEM fuel cell is proportional to oxygen stoichiometry. However, the extra electrical power needed for the air blower is proportional to the supplied oxygen. In this paper, the optimal oxygen stoichiometry is derived as functions of the stack output current and the blower energy efficiency. Therefore, to obtain a maximum net power output for a PEM fuel cell, the implementation of oxygen stoichiometry can be tuned on-line according to the specification of blower efficiency and the instantaneous value of the output current. The analytical derivation is based on third-order nonlinear PEM fuel cell dynamics with the system parameter values of a Ballard 5 kW PEM fuel cell system. The proposed approach is verified through the quantities of net power output as obtained from both equilibrium operation conditions and time response simulation based on the formulated fuel cell nonlinear dynamics
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