Modelling a storage system of a wind farm with a ramp-rate limitation: a semi-Markov modulated Brownian bridge approach
Abstract We propose a new methodology to simulate the discounted penalty applied to a wind-farm operator by violating ramp-rate limitation policies. It is assumed that the operator manages a wind turbine plugged into a battery, which either provides or stores energy on demand to avoid ramp-up and ramp-down events. The battery stages, namely charging, discharging, or neutral, are modeled as a semi-Markov process. During each charging/discharging period, the energy stored/supplied is assumed to follow a modified Brownian bridge that depends on three parameters. We prove the validity of our methodology by testing the model on 10 years of real wind-power data and comparing real versus simulated results.
Authors
- Salvatore Vergine (ORCID: https://orcid.org/0000-0002-3926-3081)
- Guglielmo D’Amico (ORCID: https://orcid.org/0000-0002-6948-2912)
- Abel Azze (ORCID: https://orcid.org/0000-0002-3124-6420)
- Bernardo D’Auria (ORCID: https://orcid.org/0000-0002-1272-8352)
Institutions
- Marche Polytechnic University (IT)
- University of Padua (IT)
- University of Chieti-Pescara (IT)
- Centro de Estudios Monetarios y Financieros (ES)
Publication Details
- Journal
- Annals of Operations Research
- Published
- 2024-09-06
- DOI
- https://doi.org/10.1007/s10479-024-06236-6
- Primary Topic
- Energy Load and Power Forecasting
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- European Commission
- Università Politecnica delle Marche
- Universidad Carlos III de Madrid
- Ministerio de Asuntos Económicos y Transformación Digital, Gobierno de España
- Gruppo Nazionale per il Calcolo Scientifico