This paper presents the electrical and thermal analysis of an OLED module. The OLED module consists of the OLED element and the DC-DC converter incorporated in its backplane. The DC-DC converter is realized as an integrated circuit and uses an external inductor. The inductor is embedded in the substrate of the backplane and has a spiral geometry. The DC-DC converter is highly efficient, but a fraction of the electrical power is dissipated in the integrated circuit and the planar inductor. This thermal dissipation has a negative consequence on the OLED characteristics. Additionally the planar inductor represents a loop antenna that radiates electromagnetic energy. The radiated disturbance of the planar inductor must conform to the EMC standards. The COMSOL Multiphysics is used to investigate both the electromagnetic and thermal performance of the OLED module.