Abstract—This paper presents a discrete-time map calculated from the nonlinear averaged model for a flyback DC-DC converter with peak current control. Traditional switched models, although accurate, are computationally expensive, limiting their practicality for rapid analysis. To address this limitation, we propose a novel discrete-time map of the flyback converter. The model achieves a simulation time reduction of over 97% compared to event-driven models while preserving high accuracy in both transient and steady-state conditions, with errors of less than 1%. Numerical simulations validate the model's performance and its ability to predict system responses to perturbations effectively. This method enables precise detection of transitions between Continuous Conduction Mode (CCM) and Discontinuous Conduction Mode (DCM). This feature provides an advantage over standard averaged models by simplifying mode detection and improving computational efficiency. This approach is particularly useful for applications in renewable energy and power electronics. Future work will focus on integrating this model into real-time simulation environments to enhance control strategies.