Avoiding instabilities in power electronic systems: toward an on‐chip implementation

The available controller chips for power electronic systems are used for specific transient and steady-state performances. In such systems, the parameter ranges for stable operation are delimited by slow-timescale as well as fast-timescale instabilities. The usual practice is to design the control loop based on the state-space averaging technique, which cannot predict the fast-timescale instabilities. In this study, the first attempt has been made to propose a new design of the controller chip that can suppress these instabilities, thus extending the stable operating range in the parameter space. For this, the authors make use of the Filippov method which can effectively predict both types of instabilities. In this approach, the stability of the system is obtained in terms of the state transition matrices across each subsystem and saltation matrices across each switching event. The basic idea is to exercise control over the saltation matrices to increase the stability margin of the periodic orbit. Since in the Filippov approach an increase in the number of switching events in a cycle does not increase the complexity of the analysis, the proposed controller chip will be particularly useful in complex power electronic systems such as interconnected converters, multi-input multi-output converters, resonant converters, micro-grids and so on.