Fast dynamic simulation and control of a boost DC-DC inverter

Efficient and accurate simulation is essential for the modeling and control of high-frequency DC-DC converters. Conventional numerical integrators require very small time steps to capture fast switching dynamics, leading to high computational cost. This paper introduces a discrete-time analytical integration method that significantly accelerates simulation without compromising accuracy. The approach computes only two or three breaking points per switching cycle, depending on whether the system operates in continuous (CCM) or discontinuous conduction mode (DCM). Each segment of the dynamic response is represented by an exact analytical expression, eliminating the need for fine-grained time-stepping. The method is validated through simulations in both open-loop and closed-loop control scenarios. It also accurately detects the DCM regime and applies rapid corrections to ensure fidelity. The proposed algorithm offers a clear advantage over traditional solvers, enabling fast and reliable simulations suitable for iterative design and real-time applications. It is particularly well-suited for embedded and autonomous systems, such as photovoltaic power units in remote or off-grid settings, and can be extended to more complex converter topologies.