We study thermodynamic properties of the effective right and left systems of Reissner-Nordstrm-anti-de Sitter black hole. Then, we analyze the case of Kerr-Newman-anti-de Sitter(KN-AdS) black hole and calculate the corresponding thermodynamic quantities of the right and the left systems. For the nearly extremal case, it can be seen that the effective right system of KN-AdS black hole satisfies the Nernst theorem and the effective left system has a finite temperature.