The dynamic response of an ice-covered fluid to transient disturbances was analytically investigated by means of integral transforms and the generalized method of stationary phase. The initially quiescent fluid of fin...The dynamic response of an ice-covered fluid to transient disturbances was analytically investigated by means of integral transforms and the generalized method of stationary phase. The initially quiescent fluid of finite depth was assumed to be inviscid, incompressible, and homogenous. The thin ice-cover was modeled as a homogeneous elastic plate. The disturbances were idealized as the fundamental singularities. A linearized initial-boundary-value problem was formulated within the framework of potential flow. The perturbed flow was decomposed into the regular and the singular components. An image system was introduced for the singular part to meet the boundary condition at the fiat bottom. The solutions in integral form for the vertical deflexion at the ice-water interface were obtained by means of a joint Laplace-Fourier transform. The asymptotic representations of the wave motion were explicitly derived for large time with a fixed distance-to-time ratio. The effects of the finite depth of fluid on the resultant wave pattems were discussed in detail. As the depth increases from zero, the critical wave number and the minimal group velocity first increase to their peak values and then decrease to constants.展开更多
The increasing adoption of grid-forming converters(GFMCs)stems from their capacity to furnish voltage and frequency support for power grids.Nevertheless,GFMCs employing the current reference saturation limiting method...The increasing adoption of grid-forming converters(GFMCs)stems from their capacity to furnish voltage and frequency support for power grids.Nevertheless,GFMCs employing the current reference saturation limiting method often exhibit instability during various transient disturbances including grid voltage sags,frequency variations,and phase jumps.To address this problem,this paper proposes a virtual power angle synchronous(δv-SYN)control method.The fundamental of this method is to achieve synchronization with the grid using the virtual power angleδv instead of the active power.The transient stability characteristics of the proposed method are theoretically elucidated using a novel virtual power angle-power angle(δv-δ)model.The key benefit of the proposed method is its robustness to various grid strengths and diverse forms of transient disturbances,eliminating the requirement for fault identification or control switching.Moreover,it can offer grid-forming support to the grid during grid faults.Hardware-in-the-loop experimental results validate the theoretical analysis and the performance of the proposed method.展开更多
基金supported by the National Natural Science Foundation of China (Grant No.10602032)the Shanghai Rising-Star Program (Grant No. 07QA14022)the Shanghai Leading Academic Discipline Project (Grant No. Y0103)
文摘The dynamic response of an ice-covered fluid to transient disturbances was analytically investigated by means of integral transforms and the generalized method of stationary phase. The initially quiescent fluid of finite depth was assumed to be inviscid, incompressible, and homogenous. The thin ice-cover was modeled as a homogeneous elastic plate. The disturbances were idealized as the fundamental singularities. A linearized initial-boundary-value problem was formulated within the framework of potential flow. The perturbed flow was decomposed into the regular and the singular components. An image system was introduced for the singular part to meet the boundary condition at the fiat bottom. The solutions in integral form for the vertical deflexion at the ice-water interface were obtained by means of a joint Laplace-Fourier transform. The asymptotic representations of the wave motion were explicitly derived for large time with a fixed distance-to-time ratio. The effects of the finite depth of fluid on the resultant wave pattems were discussed in detail. As the depth increases from zero, the critical wave number and the minimal group velocity first increase to their peak values and then decrease to constants.
基金supported in part by the National Natural Science Foundation of China(No.52377186)the Natural Science Foundation of Guangdong Province(No.2024A1515012428)+1 种基金the Science and Technology Planning Project of Guangdong Province,China(No.2023A1111120023)the Basic and Applied Basic Research Foundation of Guangdong Province(No.2022A1515240026)。
文摘The increasing adoption of grid-forming converters(GFMCs)stems from their capacity to furnish voltage and frequency support for power grids.Nevertheless,GFMCs employing the current reference saturation limiting method often exhibit instability during various transient disturbances including grid voltage sags,frequency variations,and phase jumps.To address this problem,this paper proposes a virtual power angle synchronous(δv-SYN)control method.The fundamental of this method is to achieve synchronization with the grid using the virtual power angleδv instead of the active power.The transient stability characteristics of the proposed method are theoretically elucidated using a novel virtual power angle-power angle(δv-δ)model.The key benefit of the proposed method is its robustness to various grid strengths and diverse forms of transient disturbances,eliminating the requirement for fault identification or control switching.Moreover,it can offer grid-forming support to the grid during grid faults.Hardware-in-the-loop experimental results validate the theoretical analysis and the performance of the proposed method.
