Floquet domain for open-loop transient simulation of switched devices

This paper presents a Floquet-based time-domain (TD) simulation approach of switched devices in open-loop operation. According to the coordinate transformation provided by Floquet theory, a linear time-periodic (LTP) system becomes a system with a constant state matrix via a transformation matrix. The paper primarily shows that Floquet transformation is readily applicable to pulse-width modulation (PWM) schemes employed in modern electrical networks. Furthermore, the paper demonstrates that switched networks modeled in Floquet coordinates exhibits significant computational savings compared to solving the original LTP state-space system by traditional TD techniques. Two switched networks, i.e., an HVDC system and a system equipped with three PV generators, in open-loop operation, are presented as case studies to support the statements above.