Stability analysis of nonlinear stochastic flexibility function in smart energy systems
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866911885689880576 |
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| author | Tohidi, Seyed Shahabaldin Ritschel, Tobias K. S. Tsaousoglou, Georgios Thygesen, Uffe Høgsbro Madsen, Henrik |
| author_facet | Tohidi, Seyed Shahabaldin Ritschel, Tobias K. S. Tsaousoglou, Georgios Thygesen, Uffe Høgsbro Madsen, Henrik |
| contents | Demand-side management provides a great potential for improving the efficiency and reliability of energy systems. This requires a mechanism to connect the market level and the demand side. The flexibility function is a novel approach that bridges the gap between the markets and the dynamics of physical assets at the lower levels of the energy systems and activates demand-side flexibility with the purpose of decision-making as well as for offering a new framework for balancing and grid services. Employing this function as a key for many decision-making and control algorithms reveals that a mathematically rigorous stability analysis is required for it. In this paper, we investigate the stability properties of two nonlinear flexibility functions, as a dynamic mapping between electricity price and power consumption. Specifically, we analyze the stability of a deterministic flexibility function and an Itô stochastic flexibility function. Simulation results are also provided to demonstrate the dynamics of the flexibility functions and to show that the analytical results hold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_15099 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability analysis of nonlinear stochastic flexibility function in smart energy systems Tohidi, Seyed Shahabaldin Ritschel, Tobias K. S. Tsaousoglou, Georgios Thygesen, Uffe Høgsbro Madsen, Henrik Systems and Control Demand-side management provides a great potential for improving the efficiency and reliability of energy systems. This requires a mechanism to connect the market level and the demand side. The flexibility function is a novel approach that bridges the gap between the markets and the dynamics of physical assets at the lower levels of the energy systems and activates demand-side flexibility with the purpose of decision-making as well as for offering a new framework for balancing and grid services. Employing this function as a key for many decision-making and control algorithms reveals that a mathematically rigorous stability analysis is required for it. In this paper, we investigate the stability properties of two nonlinear flexibility functions, as a dynamic mapping between electricity price and power consumption. Specifically, we analyze the stability of a deterministic flexibility function and an Itô stochastic flexibility function. Simulation results are also provided to demonstrate the dynamics of the flexibility functions and to show that the analytical results hold. |
| title | Stability analysis of nonlinear stochastic flexibility function in smart energy systems |
| topic | Systems and Control |
| url | https://arxiv.org/abs/2405.15099 |