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Position Group Contribution Method for Predicting the Normal Boiling Point of Organic Compounds 被引量:7
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作者 王强 马沛生 +1 位作者 王昶 夏淑倩 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2009年第2期254-258,共5页
A new position group contribution model is proposed for the estimation of normal boiling data of organic compounds involving a carbon chain from C2 to C18.The characteristic of this method is the use of position distr... A new position group contribution model is proposed for the estimation of normal boiling data of organic compounds involving a carbon chain from C2 to C18.The characteristic of this method is the use of position distribution function.It could distinguish most of isomers that include cis-or trans-structure from organic compounds.Contributions for hydrocarbons and hydrocarbon derivatives containing oxygen,nitrogen,chlorine,bromine and sulfur,are given.Compared with the predictions,results made use of the most common existing group contribution methods,the overall average absolute difference of boiling point predictions of 417 organic compounds is 4.2 K;and the average absolute percent derivation is 1.0%,which is compared with 12.3 K and 3.2% with the method of Joback,12.1 K and 3.1% with the method of Constantinou-Gani.This new position contribution groups method is not only much more accurate but also has the advantages of simplicity and stability. 展开更多
关键词 normal boiling point PREDICTION position group contribution
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INTERSECTION POINT RULE OF THE RETENTION VALUE AND NORMAL BOILING POINT OF THE HOMOLOGUES IN REVERSED-PHASE HIGH-PERFORMANCE LIQUID CHROMATOGRAPHY 被引量:1
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作者 Fu An WANG Chang Sheng YANG +1 位作者 Wen Chang WANG Yuan Li JIANG 《Chinese Chemical Letters》 SCIE CAS CSCD 1991年第8期637-640,共4页
In this paper, a linear relationship between the logarithm of capacity factor k and normal boiling point to of the homologues has been derived, based on the basic retention equation of liquid chromatography according ... In this paper, a linear relationship between the logarithm of capacity factor k and normal boiling point to of the homologues has been derived, based on the basic retention equation of liquid chromatography according to statistical thermodyoamics proposed by professor Ln Peizhang and others, This equation has been verified by a large number of experimental data, all the strsight lines of lnk- of bumologues for different mobile phass coaiposltion cross each other at the same point, So the intereection point equation van proposed, wbich was used to prodict the retention valu, the result was satisfactory. 展开更多
关键词 BURR INTERSECTION point RULE OF THE RETENTION VALUE AND normal BOILING point OF THE HOMOLOGUES IN REVERSED-PHASE HIGH-PERFORMANCE LIQUID CHROMATOGRAPHY
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Structural Vector Description and Estimation of Normal Boiling Points for 66 Aromatic Hydrocarbons
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作者 Shu Shen LIU Chun Sheng YIN +1 位作者 Shao Xi CAI Zhi Liang LI 《Chinese Chemical Letters》 SCIE CAS CSCD 2000年第12期1089-1092,共4页
A molecular vector-type descriptor containing 6 variables is used to describe the structure of aromatic hydrocarbons (AHs) and relate to normal boiling points (bp) of AHs. The col relation coefficient (R) between the ... A molecular vector-type descriptor containing 6 variables is used to describe the structure of aromatic hydrocarbons (AHs) and relate to normal boiling points (bp) of AHs. The col relation coefficient (R) between the estimated bp and experimental bp is 0.9988 and the root mean square error (RMS) is 7.907 degreesC for 66 AHs. The RMS obtained by cross-validation is 9.131 degreesC, which implies the relationship model having good prediction ability. 展开更多
关键词 molecular vector-type descriptor aromatic hydrocarbon normal boiling point
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Evaluation of the Performance of the GSSM Under Vibration Based on Normalized Point Source Sensitivity
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作者 Qichang An Jingxu Zhang +1 位作者 Fei Yang Hongchao Zhao 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2017年第5期82-87,共6页
Giant Steerable Science Mirror( GSSM) is the tertiary mirror of the Thirty Meter Telescope( TMT).To evaluate the performance of the GSSM under the mechanical vibration,the Normalized Point Source Sensitivity( PSSn) is... Giant Steerable Science Mirror( GSSM) is the tertiary mirror of the Thirty Meter Telescope( TMT).To evaluate the performance of the GSSM under the mechanical vibration,the Normalized Point Source Sensitivity( PSSn) is used to understand and characterize the optical performance degradation. First and foremost,the definition of the PSSn is shown and the calculation procedure of the PSSn at the work condition where the telescope aberration is much smaller than seeing is presented to reveal the relationship between PSSn and seeing.Then,the optical degradation due to vibration is achieved by the two methods: one is the statistics moment for the arbitrary froms of vibration and other one is spectrum method for wind load. After the theoretical presence,the simulation is processed. The multi-axis-accelerometers are used to achieve the motion of the mirror. After integrated to displacement signal,the measured signal is applied to the mathematical model of the GSSM and the optical performance degradation under certain mechanical vibration can be achieved. The PSSN flows from 0.996 to 0.994 under some dynamic vibration. And then,the wind load is applied to the mathematical model using spectrum method with the PSSN flows from 0.996 to 0.991. This paper can help the system engineers to predict the performance of the GSSM in various work condition. What is more,PSSn is able to be combined just by simple multiplication,so the optical performance degradation can be easily co-considered with other error sources. 展开更多
关键词 Thirty METER TELESCOPE normalized point SOURCE Sensitivity optical TRANSFER function mechanical VIBRATION
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Normality Criteria of Meromorphic Functions Concerning Shared Fixed-points 被引量:1
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作者 杨祺 《Chinese Quarterly Journal of Mathematics》 2015年第1期20-29,共10页
In this paper, we study the normality criteria of meromorphic functions concerning shared fixed-points, we obtain: Let F be a family of meromorphic functions defined in a domain D. Let n, k ≥ 2 be two positive intege... In this paper, we study the normality criteria of meromorphic functions concerning shared fixed-points, we obtain: Let F be a family of meromorphic functions defined in a domain D. Let n, k ≥ 2 be two positive integers. For every f ∈ F, all of whose zeros have multiplicity at least (nk+2)/(n-1). If f(f(k))nand g(g(k))nshare z in D for each pair of functions f and g, then F is normal. 展开更多
关键词 meromorphic function FIXED-pointS shared value normal criterion
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New Normal Control of Agricultural Non-point Source Pollution in the Dianchi Lake Basin 被引量:10
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作者 Xia Tiyuan Chen Zebin Jin Song 《Meteorological and Environmental Research》 CAS 2017年第2期63-72,共10页
Based on Kunming statistical yearbook and field survey data of agricultural non-point source pollution in counties or districts in the Dianchi Lake basin,previous and current situation of agricultural production and a... Based on Kunming statistical yearbook and field survey data of agricultural non-point source pollution in counties or districts in the Dianchi Lake basin,previous and current situation of agricultural production and agricultural non-point source pollution control in the Dianchi Lake basin were studied,and countermeasures and suggestions of comprehensive control of agricultural non-point source pollution in the basin were proposed. 展开更多
关键词 The Dianchi LAKE BASIN AGRICULTURAL non-point source POLLUTION NEW normal control Measures China
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Point Transformations and Relationships among Linear Anomalous Diffusion, Normal Diffusion and the Central Limit Theorem 被引量:1
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作者 Donald Kouri Nikhil Pandya +2 位作者 Cameron L. Williams Bernhard G. Bodmann Jie Yao 《Applied Mathematics》 2018年第2期178-197,共20页
We present new connections among linear anomalous diffusion (AD), normal diffusion (ND) and the Central Limit Theorem (CLT). This is done by defining a point transformation to a new position variable, which we postula... We present new connections among linear anomalous diffusion (AD), normal diffusion (ND) and the Central Limit Theorem (CLT). This is done by defining a point transformation to a new position variable, which we postulate to be Cartesian, motivated by considerations from super-symmetric quantum mechanics. Canonically quantizing in the new position and momentum variables according to Dirac gives rise to generalized negative semi-definite and self-adjoint Laplacian operators. These lead to new generalized Fourier transformations and associated probability distributions, which are form invariant under the corresponding transform. The new Laplacians also lead us to generalized diffusion equations, which imply a connection to the CLT. We show that the derived diffusion equations capture all of the Fractal and Non-Fractal Anomalous Diffusion equations of O’Shaughnessy and Procaccia. However, we also obtain new equations that cannot (so far as we can tell) be expressed as examples of the O’Shaughnessy and Procaccia equations. The results show, in part, that experimentally measuring the diffusion scaling law can determine the point transformation (for monomial point transformations). We also show that AD in the original, physical position is actually ND when viewed in terms of displacements in an appropriately transformed position variable. We illustrate the ideas both analytically and with a detailed computational example for a non-trivial choice of point transformation. Finally, we summarize our results. 展开更多
关键词 Generalized Fourier Analysis normal DIFFUSION ANOMALOUS DIFFUSION point TRANSFORMATIONS CANONICAL Quantization Super Symmetric Quantum Mechanics
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Curve Reconstruction Algorithm Based on Discrete Data Points and Normal Vectors
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作者 Mingyang GUO Chongjun LI 《Journal of Mathematical Research with Applications》 CSCD 2020年第1期87-100,共14页
This paper presents a curve reconstruction algorithm based on discrete data points and normal vectors using B-splines.The proposed algorithm has been improved in three steps:parameterization of the discrete data point... This paper presents a curve reconstruction algorithm based on discrete data points and normal vectors using B-splines.The proposed algorithm has been improved in three steps:parameterization of the discrete data points with tangent vectors,the B-spline knot vector determination by the selected dominant points based on normal vectors,and the determination of the weight to balancing the two errors of the data points and normal vectors in fitting model.Therefore,we transform the B-spline fitting problem into three sub-problems,and can obtain the B-spline curve adaptively.Compared with the usual fitting method which is based on dominant points selected only by data points,the B-spline curves reconstructed by our approach can retain better geometric shape of the original curves when the given data set contains high strength noises. 展开更多
关键词 curve reconstruction curve fitting normal vector B-SPLINE dominant point
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Feature detection on point clouds via Gabriel Triangles creation and l1 normal reconstruction 被引量:1
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作者 ZHANG Shaoguang WANG Xiaochao +1 位作者 CAO Junjie WANG Jun 《Computer Aided Drafting,Design and Manufacturing》 2012年第4期29-35,共7页
In this paper, we present a robust subneighborhoods selection technique for feature detection on point clouds scattered over a piecewise smooth surface. The proposed method first identifies all potential features usin... In this paper, we present a robust subneighborhoods selection technique for feature detection on point clouds scattered over a piecewise smooth surface. The proposed method first identifies all potential features using covariance analysis of the local- neighborhoods. To further extract the accurate features from potential features, Gabriel triangles are created in local neighborhoods of each potential feature vertex. These triangles tightly attach to underlying surface and effectively reflect the local geometry struc- ture. Applying a shared nearest neighbor clustering algorithm on ~ 1 reconstructed normals of created triangle set, we classify the lo- cal neighborhoods of the potential feature vertex into multiple subneighborhoods. Each subneighborhood indicates a piecewise smooth surface. The final feature vertex is identified by checking whether it is locating on the intersection of the multiple surfaces. An advantage of this framework is that it is not only robust to noise, but also insensitive to the size of selected neighborhoods. Ex- perimental results on a variety of models are used to illustrate the effectiveness and robustness of our method. 展开更多
关键词 feature detection point clouds subneighborhoods selection Gabriel triangles creation l1 normal reconstruction
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Protocol for the management of oral surgery patients on warfarin utilizing a Point-of-Care In-Office international normalized ratio monitoring device 被引量:1
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作者 Gregory P. Hatzis 《Open Journal of Stomatology》 2013年第4期255-267,共13页
Purpose: This study was performed to assess the utility and safety of an In-Office INR Monitoring Device and present a safe and efficient protocol for the management of patients on oral anticoagulants and/or antithrom... Purpose: This study was performed to assess the utility and safety of an In-Office INR Monitoring Device and present a safe and efficient protocol for the management of patients on oral anticoagulants and/or antithrombolytics requiring routine office oral and maxillofacial surgery. Patients and Methods: Sixty-one patients requiring “minor” oral and maxillofacial surgery being treated chronically with oral anticoagulation (warfarin) were entered into the study and compared in 2 groups. The control group (n = 29) was managed by discontinuing warfarin and any anti-platelet medication(s) prior to surgery. In the study group (n = 30), the decision to continue or withhold warfarin was determined by a protocol in which patients are 1) stratified based on risk for thromboembolism, and 2) classified as requiring “major” or “minor” surgery. Procedures categorized as “minor” surgery included dental extraction(s), dental implants, soft tissue and bone biopsies, and preprosthetic bone surgery, and incision and drainage. Warfarin and antiplatelet medication were not withheld in these patients, and a Point-of-Care In-Office INR Monitoring Device was used to obtain INR levels on the day of consultation and surgery. Local measures including removal of granulation tissue, packing, suturing, etc. were utilized for hemostasis. Results: The 30 patients in the study group maintained on warfarin readily achieved hemostasis using intraoperative local measures. The mean INR measured by the In-Office INR Monitoring Device was 2.36 with a range from 1.3 to 3.2. Study group patients underwent a total of 131 separate procedures including 108 dental extractions (impactions), placement of dental implants, preprosthetic bony surgery, bone cyst removal, soft tissue biopsies, facial skin cancer repair, and incision and drainage. One patient (3%) required “minor” intervention with removal of a “liver clot” on postop day 2 with repacking and suturing. The 29 patients in the control group discontinued off of war farin underwent a total of 99 procedures. One patient (3%) also required a “minor” intervention (repacking of extraction site). There were no “major” complications in either group. Conclusions: This study supports previous studies that minor oral surgery procedures can be safely performed while maintaining patients on warfarin minimizing the risk of a potentially devastating thromboembolic event. When deciding whether or not to withhold warfarin, this study supports the use of the proposed protocol based on 1) risk stratification for thromboembolism, 2) the need for “minor” versus “major” surgery, 3) and utilization of an In-Office INR Monitoring Device. An In-Office Point-of-Care INR measuring device can be a very effective tool to safely simplify and make the perioperative management of the anticoagulated patient more efficient for the patient and oral and maxillo facial surgeon. 展开更多
关键词 point-OF-CARE In-Office INR International normalized Ratio THROMBOEMBOLISM Perioperative Care Anticoagulated ORAL and Maxillofacial SURGERY Extraction Warfarin Coumadin ORAL SURGERY
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基于无人机多源数据与机器学习协同的冻胀丘高精度识别及多尺度空间分布格局——以美仁草原为例
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作者 尚嗣梁 陈国鹏 杨永红 《生态学报》 北大核心 2026年第1期105-121,共17页
冻胀丘是多年冻土区常见的一种冰缘地貌现象,近年来随着气候变暖趋势的加剧,冻胀丘的发育过程呈现出显著的时空异质性特征,这种变化可能对高寒草甸生态系统的结构与功能产生重要影响。快速识别冻胀丘,并进行空间分布格局分析有助于监测... 冻胀丘是多年冻土区常见的一种冰缘地貌现象,近年来随着气候变暖趋势的加剧,冻胀丘的发育过程呈现出显著的时空异质性特征,这种变化可能对高寒草甸生态系统的结构与功能产生重要影响。快速识别冻胀丘,并进行空间分布格局分析有助于监测冻胀丘的形成和发展过程,并揭示其动态机制。以甘南州美仁草原为研究对象,采用无人机获取高分辨率可见光影像(RGB)和数字归一化表面模型(Normalized Digital Surface Model,nDSM),结合面向对象的贝叶斯(Bayes)、决策树(Decision treed,DT)、K最近邻(K-nearest neighbor,KNN)、随机森林(Random forest,RF)和支持向量机(Support vector machine,SVM)分类方法进行冻胀丘的精细化识别,并分析冻胀丘的空间分布格局。结果表明:以RGB影像与nDSM为数据源,在最优分割尺度19及11项最优特征组合下,支持向量机(SVM)分类性能最优,生长季和非生长季的总体精度(OA=89.49%、90.19%)、Kappa系数(74.15%、69.73%),显著高于其他方法(KNN:OA=87.03%、88.99%;Bayes:OA=86.93%、89.94%;RF:OA=85.35%、87.61%;DT:OA=82.99%、87.60%)。基于Ripley′s L(r)函数的点格局分析表明,5种分类方法提取生长季与非生长季的冻胀丘均呈现显著聚集分布。研究提出的无人机RGB-nDSM数据融合与面向对象分类方法,可高效实现冻胀丘的精细化识别(OA>89%)及多尺度空间格局解析,为高寒草甸中冻胀丘动态监测、退化机制量化及治理策略优化提供高精度技术支撑。 展开更多
关键词 冻胀丘 Ripley′s L(r)函数 点格局 数字归一化表面模型(nDSM)
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Common Fixed Points under Contractive Conditions in Cone Metric Spaces 被引量:1
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作者 WANG Yun-jie ZHU Jiang 《Chinese Quarterly Journal of Mathematics》 CSCD 2013年第1期47-52,共6页
In order to develop and improve the fixed point theorems in cone metric spaces, some new fixed point theorems are presented for two mappings in cone metric spaces which satisfy contractive conditions, where the cone i... In order to develop and improve the fixed point theorems in cone metric spaces, some new fixed point theorems are presented for two mappings in cone metric spaces which satisfy contractive conditions, where the cone is not necessarily normal. Our results generalize fixed point theorems of Abbas, Jungck and Stojan Radenovi in cone metric spaces. 展开更多
关键词 cone metric space normal and non-normal cone common fixed point
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New Common Fixed Point Results for Four Maps on Cone Metric Spaces 被引量:12
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作者 Yan Han Shaoyuan Xu 《Applied Mathematics》 2011年第9期1114-1118,共5页
In this paper, some new existence and uniqueness of common fixed points for four mappings are obtained, which do not satisfy continuity and commutation on non-normal cone metric spaces. These results improve and gener... In this paper, some new existence and uniqueness of common fixed points for four mappings are obtained, which do not satisfy continuity and commutation on non-normal cone metric spaces. These results improve and generalize several well-known comparable results in the literature. 展开更多
关键词 COMMON Fixed point CONE METRIC Space Non-normal CONE
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Unique Common Fixed Point Theorems for Lipschitz Type Mappings under c-Distance on Cone Metric Spaces
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作者 Yongjie PIAO 《Journal of Mathematical Research with Applications》 CSCD 2014年第6期713-722,共10页
In this paper, new unique common fixed point theorems for four mappings satisfying Lipzchitz type conditions in the term of c-distance on normal cone metric spaces were given.The obtained results generalize and improv... In this paper, new unique common fixed point theorems for four mappings satisfying Lipzchitz type conditions in the term of c-distance on normal cone metric spaces were given.The obtained results generalize and improve many known common fixed point theorems. 展开更多
关键词 normal cone metric space c-distance common fixed point Lipschitz type condition
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基于波形相似性的柔性互联配电网短路故障区段定位方法 被引量:2
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作者 陈继明 陈文淙 +2 位作者 仉志华 于馨玮 徐乾 《电力工程技术》 北大核心 2025年第1期104-114,共11页
由于柔性多状态开关(soft normal open point,SNOP)复杂的控制策略及其弱馈特性,传统配电网故障定位方法难以适用于柔性互联配电网(flexible distribution network,FDN)。因此,文中提出一种利用电流正序分量波形相似性进行FDN故障区段... 由于柔性多状态开关(soft normal open point,SNOP)复杂的控制策略及其弱馈特性,传统配电网故障定位方法难以适用于柔性互联配电网(flexible distribution network,FDN)。因此,文中提出一种利用电流正序分量波形相似性进行FDN故障区段定位的方法。首先,针对SNOP的典型控制策略,分析FDN的短路故障特征。其次,计算配电网中不同故障位置电流正序分量的Tanimoto系数,通过对比不同位置的电流正序分量波形相似性,构建FDN短路故障定位判据,并通过Teager能量算子(Teager energy operation,TEO)实现故障时刻的精确定位,利用智能配电终端(smart terminal unit,STU)传递信息。最后,通过建模仿真对所提方法进行分析验证,结果表明该方法能够对故障区段进行准确定位,不受故障位置、故障类型、过渡电阻、采样频率及通信延时等因素的影响,验证了该方法的可行性与有效性。 展开更多
关键词 柔性互联配电网(FDN) 柔性多状态开关(SNOP) 故障分析 波形相似性 故障定位 电流正序分量
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A new approach to retrieve leaf normal distribution using terrestrial laser scanners 被引量:2
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作者 Shengye Jin Masayuki Tamura Junichi Susaki 《Journal of Forestry Research》 SCIE CAS CSCD 2016年第3期631-638,共8页
Leaf normal distribution is an important structural characteristic of the forest canopy. Although terrestrial laser scanners(TLS) have potential for estimating canopy structural parameters, distinguishing between le... Leaf normal distribution is an important structural characteristic of the forest canopy. Although terrestrial laser scanners(TLS) have potential for estimating canopy structural parameters, distinguishing between leaves and nonphotosynthetic structures to retrieve the leaf normal has been challenging. We used here an approach to accurately retrieve the leaf normals of camphorwood(Cinnamomum camphora) using TLS point cloud data.First, nonphotosynthetic structures were filtered by using the curvature threshold of each point. Then, the point cloud data were segmented by a voxel method and clustered by a Gaussian mixture model in each voxel. Finally, the normal vector of each cluster was computed by principal component analysis to obtain the leaf normal distribution. We collected leaf inclination angles and estimated the distribution, which we compared with the retrieved leaf normal distribution. The correlation coefficient between measurements and obtained results was 0.96, indicating a good coincidence. 展开更多
关键词 Leaf normal distribution Leaf inclinationangle Terrestrial laser scanner point cloud data Curvature - Clustering
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交直流微电网柔性多状态开关统一下垂控制策略 被引量:1
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作者 杨新华 王彤 +2 位作者 谢兴峰 张宇航 全相军 《电力工程技术》 北大核心 2025年第4期100-109,共10页
为解决孤岛模式下交直流混合微电网稳定运行的问题,文中提出一种孤岛交直流混合微电网柔性多状态开关(soft normally open point, SNOP)统一下垂控制策略。该策略基于系统功率平衡关系,通过归一化方法将2条馈线的频率下垂特性和直流电... 为解决孤岛模式下交直流混合微电网稳定运行的问题,文中提出一种孤岛交直流混合微电网柔性多状态开关(soft normally open point, SNOP)统一下垂控制策略。该策略基于系统功率平衡关系,通过归一化方法将2条馈线的频率下垂特性和直流电压下垂特性相结合,根据交流频率和直流电压的变化情况,判断系统的运行状态,并通过SNOP统一调节交流子网频率和直流子网电压,使交、直流微电网能够均衡承担系统总功率变化量,从而确保交流频率和直流电压稳定在系统允许范围内。同时,为了优先确保分布式电源的就近消纳,避免SNOP的非必要动作,设计了SNOP的调节死区,使得交、直流微电网能够优先利用各子网内分布式电源,从而减少SNOP交、直流侧功率的频繁交互。最后,通过MATLAB/Simulink仿真验证了所提统一下垂控制策略的有效性。 展开更多
关键词 交直流混合微电网 柔性互联 柔性多状态开关(SNOP) 统一下垂控制 交流频率调节 直流电压调节
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柔性互联配电系统SNOP选址与运行优化策略 被引量:1
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作者 陈继明 于馨玮 +2 位作者 仉志华 陈文淙 徐乾 《电力工程技术》 北大核心 2025年第4期71-79,共9页
智能软开关(soft normally open point, SNOP)凭借其灵活的功率调节能力逐渐应用于配电网中。但由于大量分布式电源(distributed generation, DG)接入,SNOP受到线路容量的限制,调节能力有限。为发挥其最大调节能力,文中提出适用于配电... 智能软开关(soft normally open point, SNOP)凭借其灵活的功率调节能力逐渐应用于配电网中。但由于大量分布式电源(distributed generation, DG)接入,SNOP受到线路容量的限制,调节能力有限。为发挥其最大调节能力,文中提出适用于配电系统的SNOP对线路有功功率裕度调节灵敏度的定义,将其作为SNOP调节能力的评价指标,由此建立SNOP的选址优化模型。在此基础上,引入系统节点电压裕度以及线路功率裕度2个安全评价指标,构建以综合运行裕度最大为目标函数的配电网运行优化模型。将上述模型转化为二阶锥模型,通过MATLAB工具实现该问题的有效求解。最后,通过改进的IEEE 33节点算例对所提模型与求解方法进行验证,进一步表明了所提选址方法能够发挥SNOP的最大调节作用,优化控制策略可以实现配电网安全经济运行。 展开更多
关键词 柔性互联配电网 分布式电源(DG) 灵敏度系数 智能软开关(SNOP)选址 运行裕度 二阶锥规划
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Point Correspondences between <i>N</i>+ 1 Hypersurfaces of Projective Spaces and (<i>N</i>+ 1)-Webs
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作者 V. S. Bolodurin 《Applied Mathematics》 2013年第11期14-22,共9页
For a correspondence in question we establish a sequence of fundamental geometrical objects of the correspondence and find invariant normalizations of the first and second orders of all hupersurfaces under the corresp... For a correspondence in question we establish a sequence of fundamental geometrical objects of the correspondence and find invariant normalizations of the first and second orders of all hupersurfaces under the correspondence. We single out main tensors of the correspondence and establish a connection between the geometry of point correspondences between n + 1 hypersurfaces of projective spaces and the theory of multidimensional (n + 1)-webs. 展开更多
关键词 Hupersurface point CORRESPONDENCE Invariant normalization Multidimensional (n + 1)-Webs
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UNIFORM NORMAL STRUCTURE AND SOLUTIONS OF REICH’S OPEN QUESTION
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作者 曾六川 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第9期1204-1211,共8页
The open question raised by Reich is studied in a Banach space with uniform normal structure, whose norm is uniformly Gateaux differentiable. Under more suitable assumptions imposed on an asymptotically nonexpansive m... The open question raised by Reich is studied in a Banach space with uniform normal structure, whose norm is uniformly Gateaux differentiable. Under more suitable assumptions imposed on an asymptotically nonexpansive mapping, an affirmative answer to Reich' s open question is given. The results presented extend and improve Zhang Shisheng' s recent ones in the following aspects : (i) Zhang' s stronger condition that the sequence of iterative parameters converges to zero is removed; (ii) Zhang' s stronger assumption that the asymptotically nonexpansive mapping has a fixed point is removed; (iii) Zhang' s stronger condition that the sequence generated by the Banach Contraction Principle is strongly convergent is also removed. Moreover, these also extend and improve the corresponding ones obtained previously by several authors including Reich, Shioji, Takahashi,Ueda and Wittmann. 展开更多
关键词 asymptotically nonexpansive mapping fixed point uniform normal structure uniformly CJateaux differentiable norm iterative approximation
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