Selecting optimal design parameters for a thermal control system of the lithium-ion battery

The paper presents the developed thermal physico-mathematical model of a thermal control system for the heat-generating lithium-iron-phosphate battery with the axial heat pipes. The latter possess high heat transfer capacity and remove the thermal power from a device to the external radiating emitter. Using the isothermal nodes method (lumped parameters), a thermal physical and mathematical model was constructed, which included four ordinary differential heat balance equations corresponding to four isothermal nodes. The selected components included the lithium-ion heat-generating battery, radiator, as well as evaporation and condensation sections of the heat pipes that were operating cyclically on the coolant evaporation - condensation principle. The system of heat balance equations was solved by the Runge-Kutta method of the fourth order of accuracy with linearization of the radiative-convective heat flow relative to the temperature taken from the previous time layers. Based on the developed model, design parameters of the thermal control system were optimized in regard to the axial heat pipes outer diameter and number. To minimize them, the conjugate directions method was used as the most accurate gradient method of the first order of optimization.
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