One-Dimensional Impedance of the Cathode Side of a PEM Fuel Cell: Exact Analytical Solution

2014 ◽  
Vol 162 (3) ◽  
pp. F217-F222 ◽  
Author(s):  
A. A. Kulikovsky
Keyword(s):  
Fuel Cell ◽  
Analytical Solution ◽  
Exact Analytical Solution ◽  
Pem Fuel Cell ◽  
Cathode Side ◽  
One Dimensional

scholarly journals A Kernel for Calculating PEM Fuel Cell Distribution of Relaxation Times

2021 ◽  
Vol 9 ◽  
Author(s):  
Andrei Kulikovsky
Keyword(s):  
Fuel Cell ◽  
Oxygen Transport ◽  
Relaxation Times ◽  
Catalyst Layer ◽  
Pem Fuel Cell ◽  
Negative Real Part ◽  
Gas Diffusion ◽  
Transport Processes ◽  
Transport Layer ◽  
Cathode Side

Impedance of all oxygen transport processes in PEM fuel cell has negative real part in some frequency domain. A kernel for calculation of distribution of relaxation times (DRT) of a PEM fuel cell is suggested. The kernel is designed for capturing impedance with negative real part and it stems from the equation for impedance of oxygen transport through the gas-diffusion transport layer (doi:10.1149/2.0911509jes). Using recent analytical solution for the cell impedance, it is shown that DRT calculated with the novel K2 kernel correctly captures the GDL transport peak, whereas the classic DRT based on the RC-circuit (Debye) kernel misses this peak. Using K2 kernel, analysis of DRT spectra of a real PEMFC is performed. The leftmost on the frequency scale DRT peak represents oxygen transport in the channel, and the rightmost peak is due to proton transport in the cathode catalyst layer. The second, third, and fourth peaks exhibit oxygen transport in the GDL, faradaic reactions on the cathode side, and oxygen transport in the catalyst layer, respectively.

LOCALIZED BREATHER-LIKE EXCITATIONS IN THE HELICOIDAL PEYRARD–BISHOP MODEL OF DNA

2009 ◽  
Vol 02 (04) ◽  
pp. 405-417 ◽  
Author(s):  
CONRAD BERTRAND TABI ◽  
ALIDOU MOHAMADOU ◽  
TIMOLEON CREPIN KOFANE
Keyword(s):  
Analytical Solution ◽  
Continuous Wave ◽  
Exact Analytical Solution ◽  
Modulational Instability ◽  
Elliptic Functions ◽  
Instability Criterion ◽  
Dna Dynamics ◽  
Jacobian Elliptic Functions ◽  
One Dimensional ◽  
The One

We consider the one-dimensional helicoidal Peyrard–Bishop (PB) model of DNA dynamics. By means of a method based on the Jacobian elliptic functions, we obtain the exact analytical solution which describes the modulational instability and the propagation of a bright solitary wave on a continuous wave background. It is shown that these solutions depend on the modulational (or Benjamin-Feir) instability criterion. Numerical simulations of their propagation show these excitations to be long-lived and suggest that they are physically relevant for DNA.

scholarly journals Adaptive search for a PEM fuel cell maximum net power

2011 ◽  
Vol 145 (2) ◽  
pp. 49-57
Author(s):  
Arkadiusz MAŁEK
Keyword(s):  
Fuel Cell ◽  
Pem Fuel Cell ◽  
Cathode Side ◽  
Hydrogen Energy ◽  
Optimal Point ◽  
Fuel Cell Stack ◽  
Maximum Value ◽  
Fuel Cell Cathode ◽  
Object Of Control ◽  
Air Flow Control

Supply method of the fuel cell cathode side significantly affects the durability and efficiency of the hydrogen energy conversion. A fuel cell is a stochastic object. The paper presents air flow control of the PEM fuel cell in order to find and hold the maximum value of the net power produced by the fuel cell stack, regardless of changes of the parameters of the object of control and its outer environment. The Application of an adaptive extremum control with bi-parameter identification provide automatic adjustment of the parameters of a controller to the changing characteristics of an object. The adaptive algorithm contains a number of variables and signals that support the estimation process. The quality and speed of finding an optimal point depends on their values.

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