当前位置: X-MOL 学术Nonlinear Anal. Hybrid Syst. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
A hybrid thermostatted kinetic framework for the modeling of a hybrid multisource system with storage
Nonlinear Analysis: Hybrid Systems ( IF 4.2 ) Pub Date : 2020-11-01 , DOI: 10.1016/j.nahs.2020.100928
Marco Dalla Via , Carlo Bianca , Ikram El Abbassi , Abdelmoumen Darcherif

Abstract The planning and development of a hybrid energy source network is based on an optimal analysis which takes into account the connection costs and the production facilities. This paper aims at modeling a hybrid multisource system by employing the methods of the thermostatted kinetic theory. Specifically a network of energy sources is allocated into a geographical domain, which is divided into different regions each of them containing different energy sources. A hybrid kinetic theory framework is proposed where the energy source is identified by a quality parameter which can attain discrete values, whereas the energy supplied by the source is modeled by defining a continuous variable. The mathematical framework consists into a system of partial integro-differential equations with quadratic type nonlinearities whose parameters are interaction rates and probability density functions. The storage system is also modeled by introducing an external force field coupled with a mathematical thermostat for ensuring the conservation of the activation energy of the energy network. The existence and uniqueness of the solution is investigated by employing fixed point arguments and integration along the characteristic curves. A critical analysis and research perspectives conclude the paper showing that the proposed thermostatted kinetic theory frameworks can be considered as general paradigms for the derivation of specific models.

中文翻译:

用于模拟带存储的混合多源系统的混合恒温动力学框架

摘要 混合能源网络的规划和开发基于考虑连接成本和生产设施的优化分析。本文旨在通过采用恒温动力学理论的方法对混合多源系统进行建模。具体来说,能源网络被分配到一个地理域中,该地理域被划分为不同的区域,每个区域包含不同的能源。提出了一种混合动力理论框架,其中能量源由可以获得离散值的质量参数识别,而源提供的能量通过定义连续变量来建模。数学框架包括具有二次型非线性的偏积分微分方程系统,其参数是相互作用率和概率密度函数。存储系统还通过引入外力场与数学恒温器相结合来建模,以确保能量网络的激活能守恒。通过使用不动点参数和沿特征曲线的积分来研究解的存在性和唯一性。论文的批判性分析和研究观点得出结论,表明所提出的恒温动力学理论框架可以被视为推导特定模型的一般范式。存储系统还通过引入外力场与数学恒温器相结合来建模,以确保能量网络的激活能守恒。通过使用不动点参数和沿特征曲线的积分来研究解的存在性和唯一性。批判性分析和研究观点总结了该论文,表明所提出的恒温动力学理论框架可以被视为推导特定模型的一般范式。存储系统还通过引入外力场与数学恒温器相结合来建模,以确保能量网络的激活能守恒。通过使用不动点参数和沿特征曲线的积分来研究解的存在性和唯一性。批判性分析和研究观点总结了该论文,表明所提出的恒温动力学理论框架可以被视为推导特定模型的一般范式。
更新日期:2020-11-01
down
wechat
bug