A Common State-Plane Framework for Series Resonant Converters: Forward and Inverse Relationships Between Operating Conditions and Trajectory Geometry

Liu Z, Schwanninger R, März M (2026)


Publication Status: Submitted

Publication Type: Unpublished / Preprint

Future Publication Type: Journal article

Publication year: 2026

Original Authors: Zhuoyun Liu, Raffael Schwanninger, Martin März

DOI: 10.20944/preprints202609.2107.v1

Abstract

State-plane analysis provides an intuitive geometric description of resonant converters, but the relationship between trajectory geometry and practical operating quantities remains insufficiently established. This paper presents a common state-plane framework for LLC and general CLLC converters. Based on established state-plane relationships, a forward mapping relates operating conditions to the characteristic trajectory radius, while an inverse mapping reconstructs the switching frequency from trajectory information. Simulation results show close agreement between analytical and simulated trajectory radii and validate the inverse reconstruction. Overall, the proposed framework establishes a common analytical connection between operating conditions and trajectory geometry in both forward and inverse directions.

Authors with CRIS profile

How to cite

APA:

Liu, Z., Schwanninger, R., & März, M. (2026). A Common State-Plane Framework for Series Resonant Converters: Forward and Inverse Relationships Between Operating Conditions and Trajectory Geometry. (Unpublished, Submitted).

MLA:

Liu, Zhuoyun, Raffael Schwanninger, and Martin März. A Common State-Plane Framework for Series Resonant Converters: Forward and Inverse Relationships Between Operating Conditions and Trajectory Geometry. Unpublished, Submitted. 2026.

BibTeX: Download