Abstract
This paper explores the inverse problem approach for finding the current distribution within an electrochemical cell from magnetic field measurements. Current distribution is shown to be a useful measurement for diagnosis of cells and development of cell design. Existing current distribution measurement methods are discussed to provide context and motivation for the work. Magnetic field measurements can be obtained non-invasively and contain information about the current distribution, which is extracted using an appropriate solver. Experimental results are presented which test the effectiveness of a particular inverse problem solver, using both simulated and real magnetic field measurements. The solver presented is based upon one found in literature, but with novel problem-specific modifications. Errors in conductance values in the forward model definition are simulated in order to quantify their effect on solution quality. A modification to the solver is proposed to improve robustness against these model errors. This results in improved solution quality when using real measured data from a resistor-wire model of a cell, and simulated data from a model which more accurately represents the conductance of the cell plate grid and active mass.
Highlights
The hybridisation and electrification of vehicles requires high performance batteries in terms of energy density and specific energy [1], high current delivery [2], long service life [3], and dynamic charge acceptance [4]
Cost of the batteries must be minimised [1] to bring the price of electric vehicles and hybrid electric vehicles to a level that is competitive with internal combustion engine vehicles
The motivation for current distribution measurements for cell design optimisation and diagnosis is clear from the literature
Summary
The hybridisation and electrification of vehicles requires high performance batteries in terms of energy density and specific energy [1], high current delivery (cold and warm cranking) [2], long service life [3], and dynamic charge acceptance [4]. For the purposes of this paper, current distribution refers to the current leaving or entering the plate due to the cell reaction. Distribution over the whole area of the cell plate. In other words the goal is to produce a diagram showing the regions of greater and lesser magnitude of current over the whole area of the cell plate Some experimental work is presented (Section 4) which is concerned with finding the current distribution from magnetic field measurements using an inverse problem approach
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