The time to market of maximum power point tracking circuits for solar cells depends on the time of transient simulations. But, the traditional tools use a nonlinear resistor model for the solar cells. The question is if it is possible to use another nonlinear relationship to improve the convergence features. This paper presents a new method for modeling a solar cell, considering temperature and irradiation changes and an improved convergence performance. In this model, the solar cell's current-voltage (I-V) characteristics for three irradiation and two temperature conditions are required, showing a feasible procedure. The proposed model is fitted to three commercial solar cells exhibiting a maximum average error of 2.51 percent. It is tested in a transient analysis converging to the expected values in a maximum power point tracking circuit.