Analysis of a Queueing Model for Energy Storage Systems with Self-discharge
| العنوان: | Analysis of a Queueing Model for Energy Storage Systems with Self-discharge |
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| المؤلفون: | Jörg Liebeherr, Majid Raeis, Almut Burchard |
| المصدر: | ACM Transactions on Modeling and Performance Evaluation of Computing Systems. 5:1-26 |
| بيانات النشر: | Association for Computing Machinery (ACM), 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Queueing theory, Computer Networks and Communications, Computer science, 020209 energy, Process (computing), 020206 networking & telecommunications, 02 engineering and technology, Service process, Energy storage, Reliability engineering, Reduction (complexity), Hardware and Architecture, 0202 electrical engineering, electronic engineering, information engineering, Media Technology, Computer Science (miscellaneous), Safety, Risk, Reliability and Quality, Queue, Self-discharge, Software, Information Systems, Leakage (electronics) |
| الوصف: | This article presents an analysis of a recently proposed queueing system model for energy storage with discharge. Even without a load, energy storage systems experience a reduction of the stored energy through self-discharge . In some storage technologies, the rate of self-discharge can exceed 50% of the stored energy per day. We consider a queueing model, referred to as leakage queue , where, in addition to an arrival and a service process, there is a leakage process that reduces the buffer content by a factor ɣ ( 0 < ɣ < 1) in each time slot. When the average drift is positive, we discover that the leakage queue operates in one of two regimes, each with distinct characteristics. In one of the regimes, the stored energy always stabilizes at a point that lies below the storage capacity, and the stored energy closely follows a Gaussian distribution. In the other regime, the storage system behaves similar to a conventional finite capacity system. For both regimes, we derive expressions for the probabilities of underflow and overflow. In particular, we develop a new martingale argument to estimate the probability of underflow in the second regime. The methods are validated in a numerical example where the energy supply resembles a wind energy source. |
| تدمد: | 2376-3647 2376-3639 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::f6782c7b4456ea257cf9fce775a70d00 https://doi.org/10.1145/3422711 |
| رقم الأكسشن: | edsair.doi...........f6782c7b4456ea257cf9fce775a70d00 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 23763647 23763639 |
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