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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.03785 |
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| _version_ | 1866908577020510208 |
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| author | Huang, Liya Tzounas, Georgios |
| author_facet | Huang, Liya Tzounas, Georgios |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_03785 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the Duality Between Quantized Time and States in Dynamic Simulation Huang, Liya Tzounas, Georgios Systems and Control 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. |
| title | On the Duality Between Quantized Time and States in Dynamic Simulation |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2510.03785 |