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Exploiting demand-side heterogeneous flexible resources in risk management of power system frequency
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作者 YAO Yu SONG YongHua +2 位作者 YE ChengJin DING Yi ZHAO YuMing 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2024年第5期1612-1627,共16页
More demand-side flexible resources(DFRs)are participating in the frequency regulation of renewable power systems,whose heterogeneous characteristics have a significant impact on the system frequency response.Conseque... More demand-side flexible resources(DFRs)are participating in the frequency regulation of renewable power systems,whose heterogeneous characteristics have a significant impact on the system frequency response.Consequently,selecting suitable DFRs poses a formidable challenge for independent system operators(ISO).In this paper,a reserve allocation methodology for heterogeneous DFRs is proposed to manage the risk of power system frequency.Firstly,a performance curve is developed to describe the cost,capacity,and response speed of DFRs.Moreover,a clustering method for multiple distributed DFRs is conducted to calculate the aggregated performance curves and uncertainty coefficients.Then,the frequency security criterion considering DFRs’performance is constructed,whose linearity makes it can be easily coupled into the system scheduling model and solved.Furthermore,a risk management model for DFRs considering frequency-chance-constraint is proposed to make a trade-off between cost and frequency security.Finally,the model is transformed into mixed integer second-order cone programming(MISOCP)and solved by the commercial solver.The proposed model is validated by the IEEE 30 and IEEE 118 bus systems. 展开更多
关键词 demand-side heterogenous flexible resources risk management of power system frequency performance curve aggregation method mixed integer second-order cone programming
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关于非退化二阶曲线上的射影变换及对合 被引量:1
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作者 吴小平 《重庆师范学院学报(自然科学版)》 2002年第2期5-9,共5页
将文献 [1]中的结果推广到非退化二阶曲线的情况 ,得出非退化二阶曲线到自身的双射成为射影变换及对合的充要条件 :非退化二阶曲线Γ到自身的双射 φ为射影变换的充要条件是 φ下的全部交错点共线 ;非退化二阶曲线Γ到自身的一个双射 ... 将文献 [1]中的结果推广到非退化二阶曲线的情况 ,得出非退化二阶曲线到自身的双射成为射影变换及对合的充要条件 :非退化二阶曲线Γ到自身的双射 φ为射影变换的充要条件是 φ下的全部交错点共线 ;非退化二阶曲线Γ到自身的一个双射 φ为对合的充要条件是 φ下的全部交错点及全部对应三点形对应边的交点共线。然后 ,再将非退化二阶曲线到自身的双射为对合的充要条件推广到退化二阶曲线两相异点列的情形。 展开更多
关键词 非退化二阶曲线 射影变换 对合
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非退化二次曲线一个定理的解析证明
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作者 吴小平 《重庆师范学院学报(自然科学版)》 2003年第1期94-96,共3页
分别在射影平面上以及在欧氏平面上利用笛卡儿直角坐标系(以圆为例)对非退化二阶曲线到自身的双射成为对合的一个充要条件定理的推论进行了解析证明。这个定理和推论将极线、巴斯加线、透视轴等相应理论联系了起来,便于将射影几何中的... 分别在射影平面上以及在欧氏平面上利用笛卡儿直角坐标系(以圆为例)对非退化二阶曲线到自身的双射成为对合的一个充要条件定理的推论进行了解析证明。这个定理和推论将极线、巴斯加线、透视轴等相应理论联系了起来,便于将射影几何中的结论应用于解析几何和初等几何。 展开更多
关键词 非退化二次曲线 坐标三点形 解析证明 笛卡儿直角坐标系 射影几何 双射
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AN IMPROVED DYNAMIC SUBGRIDSCALE STRESS MODEL
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作者 TANGXue-ling QIANZhong-dong WUYu-lin LIUShu-hong YANGFan 《Journal of Hydrodynamics》 SCIE EI CSCD 2004年第3期276-282,共7页
According to modeling principle that a model must be more accurate ifincluding more flow information, and based on the Cauchy-Helmholtz theorem and the Smagorinskymodel, a second-order dynamic model with double dynami... According to modeling principle that a model must be more accurate ifincluding more flow information, and based on the Cauchy-Helmholtz theorem and the Smagorinskymodel, a second-order dynamic model with double dynamic coefficients was proposed by applyingdimension analyses. The Subgrid-Scale (SGS) stress is a function of both strain-rate tensor androtation-rate tensor. The SIMPLEC algorithm and staggering grid system was applied to give thesolution of the discretized governing equations, and for the turbulent flow through a 90° bend, thedistributions of velocity and pressure were achieved. The comparison between experimental data andsimulation results at a Reynolds- number 40000 shows a good agreement and implies that this model ispracticable and credible. 展开更多
关键词 sub-grid-scale (SGS) model second-order dynamic model large eddy simulation( LES) turbulent flow curved duct
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