On the Duality Between Quantized Time and States in Dynamic Simulation
Systems and Control
2025-10-07 v1 Systems and Control
Abstract
This letter introduces a formal duality between discrete-time and quantized-state numerical methods. We interpret quantized state system (QSS) methods as integration schemes applied to a dual form of the system model, where time is seen as a state-dependent variable. This perspective enables the definition of novel QSS-based schemes inspired by classical time-integration techniques. As a proof of concept, we illustrate the idea by introducing a QSS Adams-Bashforth method applied to a test equation. We then move to demonstrate how the proposed approach can achieve notable performance improvements in realistic power system simulations.
Cite
@article{arxiv.2510.03785,
title = {On the Duality Between Quantized Time and States in Dynamic Simulation},
author = {Liya Huang and Georgios Tzounas},
journal= {arXiv preprint arXiv:2510.03785},
year = {2025}
}