Abstract: Under the designated condition of operation, the heat transfer equation of the MCMA and its initial condition, boundary conditions are listed, the analytical solution is derived and the electro-thermal analytical model is set up. Comparison is made between the analytical solutions by Matlab software package and the 3-D FEA by ANSYS software package at static/steady state. Around temperature 500 K, for the material layer thicknesses, d<SUB<i</SUB<<bL,i=1, 2, 3, the static/steady temperature distribution along the MCMA's width is in uniform and that along its length is not in uniform; the relative error of analytical model compared to FEA can be less than 5%. The 2-D electro-thermal analytical model of the MCMA is effective.