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arXiv 2308.05042eess.SYcs.SY
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具有离散能级的电网

An Electrical Grid with Discrete Energy Levels

H. Grebel

AI总结:

针对电网供需平衡难、可持续能源接入加剧波动的问题,构建随机扰动马尔可夫链模型,采用离散能级加本地短期储能单元的方案,证明其在随机波动能源条件下可长期保持稳定。

摘要:

最小化电网中的功率波动与能源浪费是能源政策面临的一项核心挑战。发电量与负荷之间的任何偏差都可能导致系统效率低下与不稳定。目前,电网是一种仅能对电力需求做出事后反应的模拟系统。随着可持续能源资源(例如风力涡轮机)的接入,这种供需平衡的难度变得更大。本文研究了随机扰动对电网稳态运行的影响,在随机扰动马尔可夫链(Markovian chain)框架下构建并分析了一个模型。该模型并未对供需的连续值进行平衡,而是假设发电机与用户均遵循离散模式的能级,并辅以本地短期储能单元(short-term energy storage units, STESU)。在合理假设下,本文证明该电网在面临随机波动的能源条件时,仍能在长时间内保持稳定性(即供需差值恒定)。

英文摘要:

Minimizing both power fluctuations and energy waste in an electrical grid is a central challenge to energy policy. Any discrepancy between power production and loads may lead to inefficiencies and instability in the system. Right now, the electrical grid is an analog system that only retroactively reacts to power demands. The balancing act becomes even harder with the penetration of sustainable resources (e.g., wind turbines). Here, we consider the effect of random perturbations to the grid's steady states operation. A model is constructed and analyzed within the framework of a randomly perturbed Markovian chain. Instead of balancing continuous values for supply and demand, the model assumes that both the generators and the users adhere to discrete pattern energy levels which is supplemented by local, short-term energy storage units (STESU). Under reasonable assumptions, we show that this grid maintains stability (meaning, a constant difference between supply and demand) over long periods of time while subjected to randomly fluctuating energy conditions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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