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Fixed time integral sliding mode controller and its application to the suppression of chaotic oscillation in power system 被引量:9
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作者 Jiang-Bin Wang Chong-Xin Liu +1 位作者 Yan Wang Guang-Chao Zheng 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第7期234-241,共8页
Chattering phenomenon and singularity are still the main problems that hinder the practical application of sliding mode control. In this paper, a fixed time integral sliding mode controller is designed based on fixed ... Chattering phenomenon and singularity are still the main problems that hinder the practical application of sliding mode control. In this paper, a fixed time integral sliding mode controller is designed based on fixed time stability theory, which ensures precise convergence of the state variables of controlled system, and overcomes the drawback of convergence time growing unboundedly as the initial value increases in finite time controller. It makes the controlled system converge to the control objective within a fixed time bounded by a constant as the initial value grows, and convergence time can be changed by adjusting parameters of controllers properly. Compared with other fixed time controllers, the fixed time integral sliding mode controller proposed in this paper achieves chattering-free control, and integral expression is used to avoid singularity generated by derivation. Finally, the controller is used to stabilize four-order chaotic power system. The results demonstrate that the controller realizes the non-singular chattering-free control of chaotic oscillation in the power system and guarantees the fixed time convergence of state variables, which shows its higher superiority than other finite time controllers. 展开更多
关键词 fixed time stability integral sliding mode control four-order power system chaotic oscillation non-singular chattering-free
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Essential proteins identification method based on four-order distances and subcellular localization information
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作者 卢鹏丽 钟雨 杨培实 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第1期765-772,共8页
Essential proteins are inseparable in cell growth and survival. The study of essential proteins is important for understanding cellular functions and biological mechanisms. Therefore, various computable methods have b... Essential proteins are inseparable in cell growth and survival. The study of essential proteins is important for understanding cellular functions and biological mechanisms. Therefore, various computable methods have been proposed to identify essential proteins. Unfortunately, most methods based on network topology only consider the interactions between a protein and its neighboring proteins, and not the interactions with its higher-order distance proteins. In this paper, we propose the DSEP algorithm in which we integrated network topology properties and subcellular localization information in protein–protein interaction(PPI) networks based on four-order distances, and then used random walks to identify the essential proteins. We also propose a method to calculate the finite-order distance of the network, which can greatly reduce the time complexity of our algorithm. We conducted a comprehensive comparison of the DSEP algorithm with 11 existing classical algorithms to identify essential proteins with multiple evaluation methods. The results show that DSEP is superior to these 11 methods. 展开更多
关键词 protein–protein interaction(PPI)network essential proteins four-order distances subcellular localization information
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Highly Selective Photocatalytic Conversion of Glucose on Holo-Symmetrically Spherical Three-Dimensionally Ordered Macroporous Heterojunction Photonic Crystal 被引量:1
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作者 Ting-Wei Wang Zhi-Wen Yin +8 位作者 Yin-Hao Guo Fang-Yuan Bai Jun Chen Wenda Dong Jing Liu Zhi-Yi Hu Lihua Chen Yu Li Bao-Lian Su 《CCS Chemistry》 CSCD 2023年第8期1773-1788,共16页
Photocatalytic conversion of biomass is considered an effective,clean,and environmentally friendly route to obtain high-valued chemicals and hydrogen.However,the limited conversion efficiency and poor selectivity are ... Photocatalytic conversion of biomass is considered an effective,clean,and environmentally friendly route to obtain high-valued chemicals and hydrogen.However,the limited conversion efficiency and poor selectivity are still the main bottlenecks for photocatalytic biomass conversion.Herein,we report the highly selective photocatalytic conversion of glucose solution on holosymmetrically spherical three-dimensionally ordered macroporous TiO_(2)-CdSe heterojunction photonic crystal structure(s-TCS).The obtained s-TCS photocatalysts show excellent stability and strong light harvesting,uniform mass diffusion and exchange,and efficient photogenerated electrons/holes separation and utilization.The optimized s-TCS-4 photocatalyst displays the highest photocatalytic performance for glucose oxidation and hydrogen production.The glucose conversion,lactic acid selectivity,and yield on s-TCS-4 are about 95.9%,94.3%,and 96.4%,respectively.The photocatalytic production of lactic acid for s-TCS-4(18.5 g/L)is 2.3 times higher than the pure spherical TiO_(2) photonic crystal without CdSe(s-TiO_(2),8.1 g/L),and the hydrogen production rate of s-TCS-4 is 9.4 times that of s-TiO_(2).For the first time,we reveal that the photocatalytic conversion of glucose to lactic acid is a third-order and four-electron-involved reaction.This work could shed some new light on the efficient photocatalysis conversion of biomass to highly value-added products with high selectivity and yield,and simultaneously sustainable hydrogen evolution. 展开更多
关键词 TiO_(2)-CdSe heterojunction spherical photonic crystal high-selective photocatalytic glucose conversion lactic acid photocatalytic H2 production four-electron involved reaction third-order reaction
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Appraisal of the Production-Oriented Approach: An Introduction 被引量:4
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作者 濮实 《Chinese Journal of Applied Linguistics》 SCIE 2017年第4期452-453,共2页
The production-oriented approach (POA) has been developed over a decade. It is driven by the need to improve English classroom instruction for university students in China (Wen, 2016). It is also motivated by the ... The production-oriented approach (POA) has been developed over a decade. It is driven by the need to improve English classroom instruction for university students in China (Wen, 2016). It is also motivated by the aspiration to enhance the quality of foreign language education in other similar pedagogical contexts outside China. A volume of research has been done by Wen Qiufang and her research team, to formulate the theory of POA and to test its effectiveness in classroom pedagogy (e.g. Wen, 2016, 2015; Yang, 2015; Zhang, 2015). At the moment, the POA is still at an early stage of theory building and almost all empirical research is done in the Chinese context. In order to improve the quality of this theory and to make it intelligible to the international academic community, a one-day symposium was held in Beijing Foreign Studies University on May 15, 2017. The symposium was entitled 'The first international forum on innovative foreign language education in China: Appraisal of the POA'. In the forum, leading experts in applied linguistics were invited to discuss the strengths and weaknesses of the POA and the directions for its future development. The symposium was the first attempt for the POA research team to discuss its latest work with international scholars. This Viewpoint section collects the responses of four experts who participated in the symposium, listed in alphabetical order. The collection of articles covers three topics related to the POA: its pedagogical application, its use for teacher training, and its research. Alister Cumming is Professor Emeritus and the former Head of the Centre for Educational Research on Languages and Literacies, University of Toronto, Canada. His article focuses primarily on POA research as an exemplary case of design-based research. Rod Ellis is Research Professor in the School of Education at Curtin University, Australia. He discusses POA in terms of pedagogy, teacher training and research, with both critiques and constructive suggestions. Paul Kei M 展开更多
关键词 The production-oriented approach (POA) has been developed over a decade. It is driven by the need to improve English classroom instruction for university students in China (Wen 2016). It is also motivated by the aspiration to enhance the quality of foreign language education in other similar pedagogical contexts outside China. A volume of research has been done by Wen Qiufang and her research team to formulate the theory of POA and to test its effectiveness in classroom pedagogy (e.g. Wen 2016 2015 Yang 2015 Zhang 2015). At the moment the POA is still at an early stage of theory building and almost all empirical research is done in the Chinese context. In order to improve the quality of this theory and to make it intelligible to the international academic community a one-day symposium was held in Beijing Foreign Studies University on May 15 2017. The symposium was entitled 'The first international forum on innovative foreign language education in China: Appraisal of the POA'. In the forum leading experts in applied linguistics were invited to discuss the strengths and weaknesses of the POA and the directions for its future development. The symposium was the first attempt for the POA research team to discuss its latest work with international scholars. This Viewpoint section collects the responses of four experts who participated in the symposium listed in alphabetical order. The collection of articles covers three topics related to the POA: its pedagogical application its use for teacher training and its research. Alister Cumming is Professor Emeritus and the former Head of the Centre for Educational Research on Languages and Literacies University of Toronto Canada. His article focuses primarily on POA research as an exemplary case of design-based research. Rod Ellis is Research Professor in the School of Education at Curtin University Australia. He discusses POA in terms of pedagogy teacher training and research with both critiques and constructive suggestions. Paul Kei Mat
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Third-order nonlinear phenomenon generated on the inner surface of bulk lithium niobate crystals with magnesium doping
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作者 Xiaojing Wang Xiaobo Li +4 位作者 Hui Xu Longhui He Xuelei Li Yulan Dong Xianfeng Chen 《Chinese Optics Letters》 SCIE EI CAS CSCD 2022年第3期95-100,共6页
When two synchronized laser beams illuminate the inner surface of bulk lithium niobate crystals with magnesium doping(5%/mol MgO:LiNbO_(3))under the condition of total reflection,semi-degenerate four-wave mixing(FWM)i... When two synchronized laser beams illuminate the inner surface of bulk lithium niobate crystals with magnesium doping(5%/mol MgO:LiNbO_(3))under the condition of total reflection,semi-degenerate four-wave mixing(FWM)is generated.On this basis,a more sophisticated frequency conversion process on the interface of nonlinear crystal has been researched.The generation mechanism of FWM is associated with the fundamental waves reflected on the inner surface of the nonlinear crystal.Analysis of the phase-matching mechanism confirms that the FWM is radiated by the third-order nonlinear polarized waves,which are stimulated by the third-order nonlinear susceptibility coefficient of the nonlinear crystal.Theoretically calculated and experimentally measured corresponding data have been presented in this article.These results are expected to provide new inspiration for further experimental and theoretical research on frequency conversion in nonlinear crystals. 展开更多
关键词 nonlinear optics four-wave mixing surface of nonlinear crystals third-order nonlinear coefficient
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隋初唐文学之溯源及初唐四杰排序纷争新探 被引量:1
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作者 张丽 《嘉应学院学报》 2016年第3期65-68,共4页
新旧《唐书》对初唐四杰均做了"王、杨、卢、骆"的排序方法,然四杰诗名在当时并不统一,杨炯本人即言"吾愧在卢前,耻居王后",卢照邻反其道而言之,"喜居王后,耻在骆前"。从四杰诗风的比较中,撷出"汉... 新旧《唐书》对初唐四杰均做了"王、杨、卢、骆"的排序方法,然四杰诗名在当时并不统一,杨炯本人即言"吾愧在卢前,耻居王后",卢照邻反其道而言之,"喜居王后,耻在骆前"。从四杰诗风的比较中,撷出"汉魏风骨"这一渊源,并对其在永嘉至隋初唐之际的北朝文学的发展中略作梳理,以图重新认识永嘉文学与隋初唐文学的关系,并指出杨炯所言"愧在卢前"之深层次原因所在。 展开更多
关键词 永嘉文学 汉魏风骨 初唐四杰 称序 龙朔诗风
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Single-shot fourth-order autocorrelator 被引量:1
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作者 Peng Wang Xiong Shen +1 位作者 Jun Liu Ruxin Li 《Advanced Photonics》 EI CSCD 2019年第5期9-16,共8页
Temporal contrast(TC)is one of the most important parameters of an ultrahigh intense laser pulse.The third-order autocorrelator or cross correlator has been widely used in the past decades to characterize the TC of an... Temporal contrast(TC)is one of the most important parameters of an ultrahigh intense laser pulse.The third-order autocorrelator or cross correlator has been widely used in the past decades to characterize the TC of an ultraintense laser pulse.A novel and simple single-shot fourth-order autocorrelator(FOAC)to characterize the TC with higher time resolution and better pulse contrast fidelity in comparison to third-order correlators is proposed.The single-shot fourth-order autocorrelation consists of a frequency-degenerate four-wave mixing process and a sum-frequency mixing process.The proof-of-principle experiments show that a dynamic range of∼10^11 compared with the noise level,a time resolution of∼160 fs,and a time window of 65 ps can successfully be obtained using the single-shot FOAC,which is to-date the highest dynamic range with simultaneously high time resolution for single-shot TC measurement.Furthermore,the TC of a laser pulse from a petawatt laser system is successfully measured in single shot with a dynamic range of about 2×10^10 and simultaneously a time resolution of 160 fs. 展开更多
关键词 ultrahigh intense laser single shot temporal contrast four-wave mixing fourth-order autocorrelator.
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一类四阶偏差分方程边值问题解的存在性 被引量:1
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作者 司文艺 侯成敏 《延边大学学报(自然科学版)》 CAS 2010年第1期1-6,共6页
建立一类四阶偏差分方程边值问题的变分结构,并利用临界点的方法研究了此类方程解的存在性,分别得到存在1个解和2个解的若干充分条件.
关键词 四阶 偏差分方程 边值问题 临界点 存在性
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新一类四阶微分方程的可解条件 被引量:1
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作者 汤光宋 瞿国林 《临沂师范学院学报》 2005年第3期1-3,共3页
借用变量替换法及复合函数求导法则,提出新一类四阶微分方程,具有某种形式的解的充要条件,所得结论是对有关文献结果的推广与扩充.
关键词 四阶 微分方程 变量替换 求导法则 充要条件 通解
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《四书》与帝国社会政治秩序
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作者 赵凯杰 《理论界》 2014年第5期145-148,共4页
作为儒家经典,《四书》构建了一套完整的理想社会政治秩序。儒家理想的社会政治秩序首先强调个人修身,逐步推己及人、推己及家,在家庭内部实现以孝悌支配的理想秩序,进而将家庭秩序上升到国家秩序,主张以伦理道德规范社会政治。《四书... 作为儒家经典,《四书》构建了一套完整的理想社会政治秩序。儒家理想的社会政治秩序首先强调个人修身,逐步推己及人、推己及家,在家庭内部实现以孝悌支配的理想秩序,进而将家庭秩序上升到国家秩序,主张以伦理道德规范社会政治。《四书》描绘的"修齐治平"秩序构建路径,为秦汉之后的帝国所不断效法。帝国现实的秩序在阶级结构上主要分为士绅、农民、商人,他们的行为规范、价值依归等遵循的都是《四书》中所展现的儒家理想社会政治秩序。在帝国兴替之际,《四书》所主张的秩序理想又为帝国秩序的重建提供了合法性支持。 展开更多
关键词 《四书》 儒家 帝国 社会政治秩序
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四阶P-Laplacian中立型泛函微分方程周期解的存在性(英文)
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作者 王海莲 王良龙 《大学数学》 2014年第5期8-16,共9页
考虑了如下一类四阶P-Laplacian中立型泛函微分方程n n[″φp((μ(t)-μ(t-rj)j∑cj=1))]″=f(μ(t))μ′(t)+α(t)g(μ(t))+))+p(t)j∑βj(t)g(μ(t-γj(t)=1周期解的存在性.通过使用Mawhin重合度理论,得到了其周期解存在的充分性条件... 考虑了如下一类四阶P-Laplacian中立型泛函微分方程n n[″φp((μ(t)-μ(t-rj)j∑cj=1))]″=f(μ(t))μ′(t)+α(t)g(μ(t))+))+p(t)j∑βj(t)g(μ(t-γj(t)=1周期解的存在性.通过使用Mawhin重合度理论,得到了其周期解存在的充分性条件的新结果,改进和推广了已有结果. 展开更多
关键词 周期解 Mawhin重合度定理 中立型泛函微分方程 四阶
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《文心雕龙·丽辞》与骈文演变
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作者 李林军 《西安文理学院学报(社会科学版)》 2019年第3期12-20,共9页
《文心雕龙》辟《丽辞》篇论骈文的形成与发展。从唐虞之世的“辞未及文”至魏晋群才的“剖毫析理”,刘勰以对偶与辞藻特征梳理骈文发展脉络,迨及宋齐,骈文隶事与声律特征迅速发展,推动骈文至梁陈时期呈现鼎盛局面。刘勰从史的角度出发... 《文心雕龙》辟《丽辞》篇论骈文的形成与发展。从唐虞之世的“辞未及文”至魏晋群才的“剖毫析理”,刘勰以对偶与辞藻特征梳理骈文发展脉络,迨及宋齐,骈文隶事与声律特征迅速发展,推动骈文至梁陈时期呈现鼎盛局面。刘勰从史的角度出发,结合具体的作家与作品,对骈文从先秦时期到宋齐时期的萌芽、形成、鼎盛这一演变进程做了深入分析,对于后世骈文研究影响深远。 展开更多
关键词 丽辞 骈文演变 四大特征 演进次序
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一类四阶非线性微分方程的可解条件
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作者 汤光宋 姜海轮 《长沙大学学报》 2003年第4期15-17,共3页
借助双变换法及求导法则,给出一类四阶非线性微分方程,具有某种形式的解的充要条件,所得结论是对有关文献结果的深化与推广.
关键词 四阶 非线性微分方程 双变换法 充要条件 通解
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汉魏两晋四言诗的新变和体式的重构 被引量:31
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作者 葛晓音 《北京大学学报(哲学社会科学版)》 CSSCI 北大核心 2006年第5期70-79,共10页
四言诗随着语言的发展实字化以后,由于单句语法意义的独立,失去了诗经体四言丰富多变的富有节奏感的句序。而在汉魏到两晋长达四百年的重构体式的探索中,实字四言所找到的新句序主要是与二二节奏最相配的对偶及排比句的连缀。对偶的单... 四言诗随着语言的发展实字化以后,由于单句语法意义的独立,失去了诗经体四言丰富多变的富有节奏感的句序。而在汉魏到两晋长达四百年的重构体式的探索中,实字四言所找到的新句序主要是与二二节奏最相配的对偶及排比句的连缀。对偶的单调性和高密度造成了使用单音节虚字和连接词的困难,使四言最适合于需要罗列堆砌的内容,自然就成为颂圣述德应酬说理之首选。于是,向诗经的风诗和小雅寻求减少对偶、自然承接的句式,就成为必然趋势。但陶渊明复归诗经体的成功,却说明实字四言重构体式的失败。这是东晋以后四言衰亡的内在原因。 展开更多
关键词 四言诗 实字化 诗经体 体式重构 对偶 句序
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捷联惯导系统中四元素法求解姿态角仿真模拟 被引量:29
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作者 孙冬梅 田增山 韩令军 《弹箭与制导学报》 CSCD 北大核心 2009年第1期51-53,60,共4页
在捷联惯导系统中,姿态矩阵的四元素微分方程求解一般采用四阶龙格-库塔法,从运算精度与速度上考虑,提出了另一种有效的四阶泰勒展开法。并在典型圆锥运动环境下,对两种算法进行了姿态角误差仿真。通过仿真分析,四阶泰勒展开法的计算精... 在捷联惯导系统中,姿态矩阵的四元素微分方程求解一般采用四阶龙格-库塔法,从运算精度与速度上考虑,提出了另一种有效的四阶泰勒展开法。并在典型圆锥运动环境下,对两种算法进行了姿态角误差仿真。通过仿真分析,四阶泰勒展开法的计算精度比四阶龙格-库塔法高出1~2个数量级,为改进捷联惯导系统姿态算法提供了理论参考依据。 展开更多
关键词 四元素 四阶龙格-库塔法 四阶泰勒展开法 姿态角
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两不同奇相干态组成的第Ⅲ种四态叠加多模叠加态光场的等阶N次方Y压缩 被引量:25
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作者 许定国 张继良 +3 位作者 薛琳娜 杨志勇 陈永庄 侯洵 《光子学报》 EI CAS CSCD 北大核心 2001年第6期660-668,共9页
根据量子力学中的线性叠加原理,构造了由多模奇相干态与多模复共轭奇相干态这两种不同的奇相干态的线性叠加所组成的第Ⅰ种四态叠加多模叠加态光场|Ψ(4)o,I〉q,利用多模压缩态理论,研究了态|Ψ(4)o,I〉q的等阶N次方Y压缩特性.... 根据量子力学中的线性叠加原理,构造了由多模奇相干态与多模复共轭奇相干态这两种不同的奇相干态的线性叠加所组成的第Ⅰ种四态叠加多模叠加态光场|Ψ(4)o,I〉q,利用多模压缩态理论,研究了态|Ψ(4)o,I〉q的等阶N次方Y压缩特性.结果发现:1)当压缩阶数N为偶数时,在不同的条件下,态|Ψ(4)o,I〉q可分别呈现三种状态:a)态|Ψ(4)o,I〉q可处于等阶N-Y最小测不准态;b)态|Ψ(4)o,I〉q的第一正交分量可呈现等阶N次方Y压缩效应;c)态|Ψ(4)o,I〉q可呈现“半相干态”效应.2)当压缩阶数为奇数时,若果r1=r2=r,则在不同的条件下,态|Ψ(4)o,I〉q可分别呈现三种状态:a)态|Ψ(4)o,I〉q可处于等阶N-Y最小测不准态;b)态|Ψ(4)o,I〉q的第一正交分量可呈现等阶N次方Y压缩效应;c)态|Ψ(4)o,I〉q的第二正交分量可呈现等阶N次方Y压缩效应.3)“半相干态”是指在一定条件下,态|Ψ(4)o,I〉q的两个正交分量其中一个正交分量处于等阶N-Y最小测不准态,另一个正交分量既不处于等阶N-Y最小测不准态也不呈现等阶N次方Y压缩效应. 展开更多
关键词 四态叠加 多模叠加态光场 多模虚奇相干态 多模态相干态 等阶N次方Y压缩
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模块化多电平变换器模型及稳态特性研究 被引量:23
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作者 彭浩 邓焰 +3 位作者 王莹 王昆 何湘宁 赵荣祥 《电工技术学报》 EI CSCD 北大核心 2015年第12期120-127,共8页
模块化多电平变换器(Modular Multilevel Converter,MMC)以其高度模块化、高效率、低失真和高可靠性的特点在中高压大容量应用领域有着广阔的前景。本文以上下桥臂总体电容电压之和、上下桥臂总体电容电压之差、桥臂环流以及输出电流为... 模块化多电平变换器(Modular Multilevel Converter,MMC)以其高度模块化、高效率、低失真和高可靠性的特点在中高压大容量应用领域有着广阔的前景。本文以上下桥臂总体电容电压之和、上下桥臂总体电容电压之差、桥臂环流以及输出电流为状态变量建立了MMC的四阶大信号模型,并在大信号模型的基础上研究了MMC的稳态特性,得到了环流、桥臂电流以及上下桥臂平均电容电压的精确解析表达式。研究表明,环流主要含有直流分量和二次谐波分量,上桥臂电容电压与下桥臂电容电压的偶次谐波同相,奇次谐波反相,电容电压直流分量与稳态额定值略有差异。最后搭建了三相48模块的MMC仿真平台及实验样机,仿真波形和实验波形均与理论解析表达式高度吻合,验证了所提四阶模型及稳态解析表达式的准确性。 展开更多
关键词 模块化多电平变换器 四阶模型 稳态特性 环流
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考虑分布式储能功率四象限输出的主动配电网鲁棒优化调度模型 被引量:22
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作者 吴科成 高志华 +4 位作者 刘瑞宽 高崇 张俊潇 梁咏秋 王凯亮 《南方电网技术》 CSCD 北大核心 2021年第11期75-84,共10页
大量分布式电源接入可能会出现配电网电压偏移和网损增加等问题。以考虑配置分布式储能为解决方式,结合储能系统功率四象限输出运行策略,构建了以购电成本、网损成本、电压偏差惩罚的总运行成本最小化为目标函数的主动配电网优化调度模... 大量分布式电源接入可能会出现配电网电压偏移和网损增加等问题。以考虑配置分布式储能为解决方式,结合储能系统功率四象限输出运行策略,构建了以购电成本、网损成本、电压偏差惩罚的总运行成本最小化为目标函数的主动配电网优化调度模型,并应用区间鲁棒优化模型对风电机组出力和负荷需求的不确定性进行处理。采用二阶锥松弛技术对配电网交流最优潮流进行凸优化松弛,使原优化调度模型转换为可有效求解的二阶锥规划模型,解决了潮流双向流动配电网网络中难以考虑电压的问题。采用Big-M法处理目标函数中含有绝对值的非线性项。整个配电网优化调度模型可转换成一个混合整数二阶锥规划问题,并采用列与约束生成算法对配电网鲁棒优化调度模型进行求解。最后,在IEEE33节点系统中仿真验证了本文所提模型的有效性。 展开更多
关键词 主动配电网 分布式储能 功率四象限输出 混合整数二阶锥规划 鲁棒优化
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两不同奇相干态组成的第种四态叠加多模叠加态光场的等阶N次方Y压缩 被引量:20
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作者 许定国 张继良 +3 位作者 薛琳娜 杨志勇 陈永庄 侯洵 《光子学报》 EI CAS CSCD 北大核心 2001年第2期132-141,共10页
根据量子力学中的线性叠加原理 ,构造了由多模奇相干态与多模复共轭奇相干态这两种不同的奇相干态的线性叠加所组成的第 种四态叠加多模叠加态光场 |Ψ( 4 )o ,I〉q,利用多模压缩态理论 ,研究了态 | Ψ( 4 )o ,I〉q的等阶 N次方 Y压缩... 根据量子力学中的线性叠加原理 ,构造了由多模奇相干态与多模复共轭奇相干态这两种不同的奇相干态的线性叠加所组成的第 种四态叠加多模叠加态光场 |Ψ( 4 )o ,I〉q,利用多模压缩态理论 ,研究了态 | Ψ( 4 )o ,I〉q的等阶 N次方 Y压缩特性 .结果发现 :1 )当压缩阶数 N为偶数时 ,在不同的条件下 ,态 | Ψ( 4 )o ,I〉q 可分别呈现三种状态 :a)态 | Ψ( 4 )o ,I〉q可处于等阶 N- Y最小测不准态 ;b)态 | Ψ( 4 )o ,I〉q的第一正交分量可呈现等阶 N次方 Y压缩效应 ;c)态 | Ψ( 4 )o ,I〉q可呈现“半相干态”效应 .2 )当压缩阶数为奇数时 ,若果 r1=r2 =r,则在不同的条件下 ,态 |Ψ( 4 )o ,I〉q可分别呈现三种状态 :a)态 |Ψ( 4 )o ,I〉q可处于等阶 N - Y最小测不准态 ;b)态 |Ψ( 4 )o ,I〉q的第一正交分量可呈现等阶 N次方 Y压缩效应 ;c)态 | Ψ( 4 )o ,I〉q的第二正交分量可呈现等阶 N次方 Y压缩效应 .3)“半相干态”是指在一定条件下 ,态 | Ψ( 4 )o ,I〉q的两个正交分量其中一个正交分量处于等阶N- Y最小测不准态 ,另一个正交分量既不处于等阶 N- Y最小测不准态也不呈现等阶 N次方 展开更多
关键词 多模奇相干态 多模复共轭奇相干态 四态叠加 多模叠加态 等价N次方Y压缩 等阶N-Y最小测不准态 半相干态 量子力学 量子光学
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解四阶抛物型方程的绝对稳定高精度差分格式 被引量:19
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作者 林鹏程 《厦门大学学报(自然科学版)》 CAS CSCD 北大核心 1994年第6期756-759,共4页
对四阶抛物型方程U_t+U_(xxxx)=0构造一族含双参数的三层差分格式,当参数α=1/2,β=0时得到双层格式,这些格式对任意非负参数均为绝对稳定的,其截断误差为O(△t ̄2+△x ̄6),且可用追赶法求解。
关键词 抛物型方程 绝对稳定 差分格式
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