Performance modeling of thermoelectric devices by perturbation method

摘要: Abstract A nonlinear differential heat conduction equation for a leg of thermoelement with temperature-dependent thermoelectric material properties is reduced to an integral equation. Its solution obtained by perturbation method in the form series terms powers parameters proportional Thomson and Joule heat. The first six coefficients balance equations, i.e. dependence fluxes at junctions on its temperatures electric current are found. calculation results main energy characteristics devices (thermoelectric generators coolers) compared five methods: exact solution, constant taken mean temperature hot cold junctions, average averaged over relevant range integration), linear quadratic approximations theory. It shown that accuracy acceptable real-world applications (error less than 1%) coolers - approximation method.