An explicit simple analytical method is presented for periodic heat conduction transfer in solids by using a perturbation method. Low order models are developed and their accuracy was compared to that of the complete numerical model. It is shown that first and second order models can be used efficiently for relatively low frequencies. An improvement of the method is then proposed by using a convergence acceleration of the series. This allows the use of the method at much higher frequencies. (C) 2011 Elsevier Ltd. All rights reserved.