Three different kinds of fluctuation limits (high density fluctuation, small branching fluctuation and large scale fluctuation) of the measure-vained immigration diffusion process are studied,which lead to the general...Three different kinds of fluctuation limits (high density fluctuation, small branching fluctuation and large scale fluctuation) of the measure-vained immigration diffusion process are studied,which lead to the generalized Ornstein-Uhlenbeck diffusion defined by a Langevin equation ofthe type of [1]. The fluctuation limit theorems cover all dimension numbers and give physicalinterpretations to the parameters appearing in the equation.展开更多
We survey recent effort in establishing the hydrodynamic limits and the fluctuation limits for a class of interacting diffusions in domains. These systems are introduced to model the transport of positive and negative...We survey recent effort in establishing the hydrodynamic limits and the fluctuation limits for a class of interacting diffusions in domains. These systems are introduced to model the transport of positive and negative charges in solar cells. They are general microscopic models that can be used to describe macroscopic phenomena with coupled boundary conditions, such as the popula- tion dynamics of two segregated species under competition. Proving these two types of limits represents establishing the functional law of large numbers and the functional central limit theorem, respectively, for the empirical measures of the spatial positions of the particles. We show that the hydrodynamic limit is a pair of deterministic measures whose densities solve a coupled nonlinear heat equations, while the fluctuation limit can be described by a Gaussian Markov process that solves a stochastic partial differential equation.展开更多
The theoretical superheat limit of liquids in homogeneous nucleate boiling is determined. A new hypothesis to define the superheat limit is proposed on the basis of the fluctuation theory in statistical thermodynamics...The theoretical superheat limit of liquids in homogeneous nucleate boiling is determined. A new hypothesis to define the superheat limit is proposed on the basis of the fluctuation theory in statistical thermodynamics. Using Gibbs canonical and grand canonical ensemble formulas, the superheat limit are derived. The numerical results are in good agreement with those in literature.展开更多
It is proved by the theory of semigroup that the Ornstein-Uhlenbeck type process with jumps can arise from the fluctuation limit of a sequence of Jirina processes with immigration under suitable moments conditions.
针对风电多时间尺度波动量不同的特性,提出采用能量型和功率型混合储能(hybrid energy storage system,HESS)依据主次双时间尺度(primary-secondary time-scale,PSTS)联合平抑的方法。首先详细分析和挖掘了PSTS风功率动态上下限波动机理...针对风电多时间尺度波动量不同的特性,提出采用能量型和功率型混合储能(hybrid energy storage system,HESS)依据主次双时间尺度(primary-secondary time-scale,PSTS)联合平抑的方法。首先详细分析和挖掘了PSTS风功率动态上下限波动机理,得到了PSTS交集的"切割效应"(cutting effect,CE)特征,建立了风电PSTS波动联合控制目标域数学模型,并推广到多尺度风功率波动;基于2种储能充电状态(state of charge,SOC)反馈与充放电功率限制,确定了各种状态下储能充放电功率及其在2种储能间的分配模型,制定了完整的混合储能充放电控制策略。其次,以三维空间关系分析法寻找了功率型和能量型储能容量配比与效果之间的关系。最后,根据国网规定标准,应用某风电场实际数据仿真验证了该控制策略将风电波动率限制在国网标准内的有效性,并确定了在效果较优基础上功率型和能量型储能容量最佳配比。展开更多
文摘Three different kinds of fluctuation limits (high density fluctuation, small branching fluctuation and large scale fluctuation) of the measure-vained immigration diffusion process are studied,which lead to the generalized Ornstein-Uhlenbeck diffusion defined by a Langevin equation ofthe type of [1]. The fluctuation limit theorems cover all dimension numbers and give physicalinterpretations to the parameters appearing in the equation.
文摘We survey recent effort in establishing the hydrodynamic limits and the fluctuation limits for a class of interacting diffusions in domains. These systems are introduced to model the transport of positive and negative charges in solar cells. They are general microscopic models that can be used to describe macroscopic phenomena with coupled boundary conditions, such as the popula- tion dynamics of two segregated species under competition. Proving these two types of limits represents establishing the functional law of large numbers and the functional central limit theorem, respectively, for the empirical measures of the spatial positions of the particles. We show that the hydrodynamic limit is a pair of deterministic measures whose densities solve a coupled nonlinear heat equations, while the fluctuation limit can be described by a Gaussian Markov process that solves a stochastic partial differential equation.
基金Project supported by the National Natural Science Foundation of China.
文摘The theoretical superheat limit of liquids in homogeneous nucleate boiling is determined. A new hypothesis to define the superheat limit is proposed on the basis of the fluctuation theory in statistical thermodynamics. Using Gibbs canonical and grand canonical ensemble formulas, the superheat limit are derived. The numerical results are in good agreement with those in literature.
基金Supported in part by National Natural Science Foundation of China (Grant No. 10771070)
文摘It is proved by the theory of semigroup that the Ornstein-Uhlenbeck type process with jumps can arise from the fluctuation limit of a sequence of Jirina processes with immigration under suitable moments conditions.
文摘针对风电多时间尺度波动量不同的特性,提出采用能量型和功率型混合储能(hybrid energy storage system,HESS)依据主次双时间尺度(primary-secondary time-scale,PSTS)联合平抑的方法。首先详细分析和挖掘了PSTS风功率动态上下限波动机理,得到了PSTS交集的"切割效应"(cutting effect,CE)特征,建立了风电PSTS波动联合控制目标域数学模型,并推广到多尺度风功率波动;基于2种储能充电状态(state of charge,SOC)反馈与充放电功率限制,确定了各种状态下储能充放电功率及其在2种储能间的分配模型,制定了完整的混合储能充放电控制策略。其次,以三维空间关系分析法寻找了功率型和能量型储能容量配比与效果之间的关系。最后,根据国网规定标准,应用某风电场实际数据仿真验证了该控制策略将风电波动率限制在国网标准内的有效性,并确定了在效果较优基础上功率型和能量型储能容量最佳配比。
