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Exact solutions for unsteady unidirectional flows of a generalized second-order fluid through a rectangular conduit 被引量:1
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作者 J. Kang M. Xu School of Mathematics, Institute of Applied Mathematics,Shandong University, 250100 Jinan, China M. Xu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2009年第2期181-186,共6页
The exact solutions are obtained for unsteady unidirectional flows of a generalized second-order fluid through a rectangular conduit. The fractional calculus in the constitutive relationship of a non-Newtonian fluid i... The exact solutions are obtained for unsteady unidirectional flows of a generalized second-order fluid through a rectangular conduit. The fractional calculus in the constitutive relationship of a non-Newtonian fluid is introduced. We construct the solutions by means of Fourier transform and the discrete Laplace transform of the sequential derivatives and the double finite Fourier transform. The solutions for Newtonian fluid between two infinite parallel plates appear as limiting cases of our solutions. 展开更多
关键词 generalized second-order fluid - Rectangularconduit Fractional calculus Exact solutions
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SPECTRUM DISTRIBUTION OF THE SEDOND ORDER GENERALIZED DISTRIBUTED PARAMETER SYSTEMS 被引量:2
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作者 葛照强 朱广田 马勇镐 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2003年第10期1224-1232,共9页
Spectrum distribution of the second order generalized distributed parameter system was discussed via the functional analysis and operator theory in Hilbert space. The solutions of the problem and the constructive expr... Spectrum distribution of the second order generalized distributed parameter system was discussed via the functional analysis and operator theory in Hilbert space. The solutions of the problem and the constructive expression of the solutions are given by the generalized inverse one of bounded linear operator. This is theoretically important for studying the stabilization and asymptotic stability of the second order generalized distributed parameter system. 展开更多
关键词 second order generalized distributed parameter system spectrum distribution Hilbert space generalized inverse one of bounded linear operatiors
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Order-Disorder Transition of Carboxyl Terminated Chains in Polydiacetylenes Vesicles Probed by Second Harmonic Generation and Two-Photon Fluorescence
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作者 Shun-li Chen Xue-feng Zhu +3 位作者 Fang-yuan Yang Xue-cong Pan Wei Gan Qun-hui Yuan 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2018年第3期269-276,367,共9页
To understand and control the interfacial properties of polydiacetylenes(PDAs)vesicles withπ-conjugated backbone is very important for their colorimetric sensing of chemical and biological targets.In this work,we ado... To understand and control the interfacial properties of polydiacetylenes(PDAs)vesicles withπ-conjugated backbone is very important for their colorimetric sensing of chemical and biological targets.In this work,we adopted 10,12-pentacosadiynoic acid(PCDA)as the model molecule to prepare PDAs vesicles in aqueous solution with different forms(from monomer to blue-to-purple-to-red phase)by controlling the UV irradiation dose.The variations of the interfacial conformation of PDAs vesicles during chromatic transitions were inspected by the adsorption behaviors of probe molecules(4-(4-diethylaminostyry)-1-methylpyridinium iodide,D289)on vesicle surface with surface-specific second harmonic generation(SHG)and zeta potential measurements.Resonant SHG signal from D289 adsorbed on vesicle surface attenuated sharply,and the adsorption free energy as well as the corresponding two-photon fluorescence signal decreased slightly in chromatic transitions.While,the change in the surface density of the adsorbed D289 molecules for PDAs vesicles with different forms was relatively small as estimated from zeta potential measurements.The attenuation of the SHG intensity was thus attributed to the overall order-disorder transition and the changed orientation of D289 molecules caused by the gradual distortion of carboxyl head group driven by backbone perturbation. 展开更多
关键词 POLYDIACETYLENES VESICLE POLYMERIZATION interfacial adsorption second harmonic generation order-DISorder transition
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Generating functions for powers of second-order recurrence sequences
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作者 王晓霞 李梅 《Journal of Shanghai University(English Edition)》 CAS 2011年第6期517-521,共5页
For the sequences satisfying the recurrence relation of the second order,the generating functions for the products of the powers of these sequences are established.This study was from Carlita and Riordan who began a s... For the sequences satisfying the recurrence relation of the second order,the generating functions for the products of the powers of these sequences are established.This study was from Carlita and Riordan who began a study on closed form of generating functions for powers of second-order recurrence sequences.This investigation was completed by Stnica.Inspired by the recent work of Istva'n about the non-closed generating functions of the products of the powers of the second-order sequences,the authors give several extensions of Istva'n's results in this paper. 展开更多
关键词 generating function second-order sequence the Binet formula
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Second-order Sliding Mode Control of DFIG Based Variable Speed Wind Turbine for Maximum Power Point Tracking 被引量:4
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作者 Xiangjie Liu Chengcheng Wang Yaozhen Han 《自动化学报》 EI CSCD 北大核心 2017年第8期1434-1442,共9页
关键词 风力发电机组 滑模控制器 二阶滑模 变速恒频 最大功率点跟踪 双馈感应发电机 李雅普诺夫函数 发电机转子
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Linearization of Emden Differential Equation via the Generalized Sundman Transformations
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作者 Joel Mvendaga Orverem Yusuf Haruna +1 位作者 Bala Ma’aji Abdulhamid Magaji Yunbunga Adamu 《Advances in Pure Mathematics》 2021年第3期163-168,共6页
The Emden differential equation is one of the most widely studied and challenging nonlinear dynamics equations in literature. It finds applications in various areas of study such as celestial mechanics, fluid mechanic... The Emden differential equation is one of the most widely studied and challenging nonlinear dynamics equations in literature. It finds applications in various areas of study such as celestial mechanics, fluid mechanics, Steller structure, isothermal gas spheres, thermionic currents and so on. Because of the importance of the equation, the method of generalized Sundman transformation (GST) as proposed by Nakpim and Meleshko is used for linearizing the Emden differential equation. The Emden differential equation considered here is a modification of the equation given by Berkovic. The results obtained in this paper imply that the Emden equation cannot be linearized by a point transformation. The general solution of the modified Emden equation is also obtained. 展开更多
关键词 Emden Differential Equation second order Ordinary Differential Equation generalized Sundman Transformation LINEARIZATION
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Surface second harmonic generation of chiral molecules using three-coupled-oscillator model
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作者 王晓鸥 李淳飞 李俊庆 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第11期2623-2630,共8页
Based on the three-coupled-oscillator molecular model we proposed, the relation between the second-order susceptibilities of a chiral film and the molecular hyperpolarizabilities is given. The effect of microscopic pa... Based on the three-coupled-oscillator molecular model we proposed, the relation between the second-order susceptibilities of a chiral film and the molecular hyperpolarizabilities is given. The effect of microscopic parameters on the second-order susceptibilities is simulated numerically and the difference between the efficiencies of s-polarized secondharmonic fields induced by the left- and the right-handed circularly-polarized fundamental beams is discussed. The theoretical basis for studying second-order nonlinear optical properties of the chiral molecular media with a tripod-like structure is provided in this paper. 展开更多
关键词 molecular chirality three-coupled-oscillator model second-order susceptibility second harmonic generation
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Establishment of Numerical Wave Flume Based on the Second-Order Wave-Maker Theory
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作者 ZHANG Hao-chen LIU Shu-xue +1 位作者 LI Jin-xuan WANG Lei 《China Ocean Engineering》 SCIE EI CSCD 2019年第2期160-171,共12页
With growing computational power, the first-order wave-maker theory has become well established and is widely used for numerical wave flumes. However, existing numerical models based on the first-order wave-maker theo... With growing computational power, the first-order wave-maker theory has become well established and is widely used for numerical wave flumes. However, existing numerical models based on the first-order wave-maker theory lose accuracy as nonlinear effects become prominent. Because spurious harmonic waves and primary waves have different propagation velocities, waves simulated by using the first-order wave-maker theory have an unstable wave profile. In this paper, a numerical wave flume with a piston-type wave-maker based on the second-order wave-maker theory has been established. Dynamic mesh technique was developed. The boundary treatment for irregular wave simulation was specially dealt with. Comparisons of the free-surface elevations using the first-order and second-order wave-maker theory prove that second-order wave-maker theory can generate stable wave profiles in both the spatial and time domains. Harmonic analysis and spectral analysis were used to prove the superiority of the second-order wave-maker theory from other two aspects. To simulate irregular waves, the numerical flume was improved to solve the problem of the water depth variation due to low-frequency motion of the wave board. In summary, the new numerical flume using the second-order wave-maker theory can guarantee the accuracy of waves by adding an extra motion of the wave board. The boundary treatment method can provide a reference for the improvement of nonlinear numerical flume. 展开更多
关键词 second-order WAVE generation nonlinear WAVE SPURIOUS HARMONIC WAVE numerical FLUME
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Observer design for matrix second-order linear systems: a parametric approach
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作者 WUYunli DUANGuangren 《吉林大学学报(工学版)》 EI CAS CSCD 北大核心 2004年第3期449-453,共5页
The issue of designing a type of generalized Luenberger observers for matrix second-order linear (MSOL) systems was addressed in the matrix second-order framework. By introducing the concept of stable matrix pair for ... The issue of designing a type of generalized Luenberger observers for matrix second-order linear (MSOL) systems was addressed in the matrix second-order framework. By introducing the concept of stable matrix pair for MSOL systems, sufficient and necessary conditions for the design of the type of generalized Luenberger observers were given under the assumption of controllability and observability of the MSOL system. Based on the proposed conditions and the right coprime factorization of the system, a parametric approach to the design of such type of observers was presented. The proposed approach provides all the degrees of design freedom, which can be further utilized to achieve additional system specifications. A spring-mass system was utilized to show the effect of the proposed method. 展开更多
关键词 generalized luenberger OBSERVER MATRIX second-order linear systems DEGREES of design FREEDOM stable MATRIX PAIRS
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Unified parametric approaches for high-order integral observer design for matrix second-order linear systems
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作者 Guangren DUAN Yunli WU 《控制理论与应用(英文版)》 EI 2006年第2期133-139,共7页
A type of high-order integral observers for matrix second-order linear systems is proposed on the basis of generalized eigenstructure assignment via unified parametric approaches. Through establishing two general para... A type of high-order integral observers for matrix second-order linear systems is proposed on the basis of generalized eigenstructure assignment via unified parametric approaches. Through establishing two general parametric solutions to this type of generalized matrix second-order Sylvester matrix equations, two unified complete parametric methods for the proposed observer design problem are presented. Both methods give simple complete parametric expressions for the observer gain matrices. The first one mainly depends on a series of singular value decompositions, and is thus numerically simple and reliable; the second one utilizes the fight factorization of the system, and allows eigenvalues of the error system to be set undetermined and sought via certain optimization procedures. A spring-mass-dashpot system is utilized to illustrate the design procedure and show the effect of the proposed approach. 展开更多
关键词 Matrix second-order linear systems High-order integral observer generalized eigenstructure assignment Singular value decomposition Right factorization
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Convergence analysis on Browder-Tikhonov regularization for second-order evolution hemivariational inequality
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作者 Yibin XIAO Guoji TANG +1 位作者 Xianjun LONG Nanjing HUANG 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2015年第10期1371-1382,共12页
This paper studies the Browder-Tikhonov regularization of a second-order evolution hemivariational inequality (SOEHVI) with non-coercive operators. With duality mapping, the regularized formulations and a derived fi... This paper studies the Browder-Tikhonov regularization of a second-order evolution hemivariational inequality (SOEHVI) with non-coercive operators. With duality mapping, the regularized formulations and a derived first-order evolution hemivariational inequality (FOEHVI) for the problem considered are presented. By applying the Browder-Tikhonov regularization method to the derived FOEHVI, a sequence of regularized solutions to the regularized SOEHVI is constructed, and the strong convergence of the whole sequence of regularized solutions to a solution to the problem is proved. 展开更多
关键词 second-order evolution hemivariational inequality (SOEHVI) Browder-Tikhonov regularization Clarke's generalized gradient
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New Oscillation Results for Forced Second Order Differential Equations with Mixed Nonlinearities
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作者 Ercan Tunc Adil Kaymaz 《Applied Mathematics》 2012年第2期147-153,共7页
Some new oscillation criteria are given for forced second order differential equations with mixed nonlinearities by using the generalized variational principle and Riccati technique. Our results generalize and extend ... Some new oscillation criteria are given for forced second order differential equations with mixed nonlinearities by using the generalized variational principle and Riccati technique. Our results generalize and extend some known oscillation results in the literature. 展开更多
关键词 generalized Variational Principle Variational Principle second order Differential Equations Riccati Transformation OSCILLATION
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基于改进灰狼优化算法的含光伏配电网动态无功优化 被引量:1
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作者 于惠钧 马凡烁 +2 位作者 陈刚 杨驰泽 李嘉轩 《电气技术》 2024年第4期7-15,58,共10页
针对光伏并网对配电网造成的电压波动、线损增加,以及光伏和负荷出力的不确定性等问题,本文构建基于二阶锥规划的线性凸优化模型,通过控制有载调压变压器和电容器组动作,以及光伏逆变器和静止无功发生器无功补偿能力约束,对日前日内双... 针对光伏并网对配电网造成的电压波动、线损增加,以及光伏和负荷出力的不确定性等问题,本文构建基于二阶锥规划的线性凸优化模型,通过控制有载调压变压器和电容器组动作,以及光伏逆变器和静止无功发生器无功补偿能力约束,对日前日内双时间尺度无功优化模型进行动态分析,在简化求解过程的同时加大找到全局最优解的可能性。提出一种基于混沌学习初始化、非线性收敛因子、最优粒子柯西扰动结合蜘蛛猴算法位置更新方式的改进灰狼优化算法,防止算法陷入局部最优并增强其全局搜索能力。最后,运用改进的灰狼优化算法对含光伏的IEEE 33节点系统进行建模仿真,结果表明该算法具有寻优效率高、收敛速度快的优点,验证了算法的可行性和高效性。 展开更多
关键词 配电网 光伏发电 动态无功优化 二阶锥规划 灰狼优化算法(GWO)
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单相整流器二次纹波抑制的有源功率解耦控制算法
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作者 成庶 李卓鑫 +2 位作者 周瑞睿 范子寅 向超群 《电机与控制学报》 EI CSCD 北大核心 2024年第8期94-103,共10页
为了解决单相整流器中LC谐振回路频率适应性差的问题,引入有源功率解耦电路代替LC谐振回路抑制母线电压二次纹波,选择直流母线电容分裂拓扑有利于减小支撑电容容值。首先,对有源功率解耦电路的工作模态进行分析,建立了单相整流器和分裂... 为了解决单相整流器中LC谐振回路频率适应性差的问题,引入有源功率解耦电路代替LC谐振回路抑制母线电压二次纹波,选择直流母线电容分裂拓扑有利于减小支撑电容容值。首先,对有源功率解耦电路的工作模态进行分析,建立了单相整流器和分裂电容有源功率解耦回路数学模型。其次,传统解耦控制算法间接计算解耦参考电压,为提高功率解耦效果,采用二阶广义积分器直接提取电压纹波作为电压参考,并提出一种基于滑模观测器的无电流传感器控制策略,滑模观测器降低了解耦电路成本,提高了抗干扰能力。然后,根据整流器性能指标和功率解耦要求,给出了有源功率解耦回路电感和电容设计依据。最后,对不同拓扑结构的单相整流器进行了稳态和动态实验对比,实验结果证明了控制算法的有效性。 展开更多
关键词 二次纹波电压 有源功率解耦 二阶广义积分器 滑模观测器 解耦参数设计
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一种适用于复杂电网下的高精度锁相环
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作者 黄海宏 刘远朋 王海欣 《电机与控制学报》 EI CSCD 北大核心 2024年第3期43-55,共13页
针对现有并网逆变器在电网电压谐波复杂的情况下难以精确锁定电压频率和相位的问题,结合传统锁相环结构与自适应算法的理论提出一种高精度的锁相方法。依据对传统锁相环在复杂电网下的弊端分析,确定了锁相环采用传统低通滤波器、带通滤... 针对现有并网逆变器在电网电压谐波复杂的情况下难以精确锁定电压频率和相位的问题,结合传统锁相环结构与自适应算法的理论提出一种高精度的锁相方法。依据对传统锁相环在复杂电网下的弊端分析,确定了锁相环采用传统低通滤波器、带通滤波器时的滤波效果与延时的矛盾关系。根据最小均方算法的高自适应特性与快速跟踪特点,结合锁相环中坐标变换公式,确定算法的输入输出以及权重矩阵,构建基于派克变换的最小均方算法矩阵模型。通过将所需的电压正序分量设置为不断更新的权重矩阵来进行高精度的滤波,同时通过引入均方瞬时误差和自相关估计均值来进行变步长控制,提高滤波更新速度,以适用于复杂程度不确定的电网电压进行自适应滤波锁相。对仿真和样机实验的结果表明:采用基于派克变换的最小均方算法的改进型双二阶广义积分锁相方法,可以在不降低动态响应速度的前提下,提高锁相环的滤波效果,进而提高并网逆变器在电网畸变严重场景下锁定电压频率和相位的跟踪精度。 展开更多
关键词 锁相环 自适应滤波 双二阶广义积分 最小均方算法 变步长
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一个解特定二阶驻定方程的新方法——特征伴随方程法
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作者 韩松 张明俊 何晓莹 《广西科技大学学报》 CAS 2024年第1期131-138,共8页
本文对文献[1]中提出的一类二阶驻定方程G″/G=∑^(m)_(j=0)P_(j)(G′/G)^(j)的求法进行探讨,提出了全新的求解方法——特征伴随方程法,通过该求法得到这类方程当m取不同非负整数(本文仅讨论m=2)时的通解,并相应给出该方程作为求解非线... 本文对文献[1]中提出的一类二阶驻定方程G″/G=∑^(m)_(j=0)P_(j)(G′/G)^(j)的求法进行探讨,提出了全新的求解方法——特征伴随方程法,通过该求法得到这类方程当m取不同非负整数(本文仅讨论m=2)时的通解,并相应给出该方程作为求解非线性偏微分方程的辅助方程时所需要的G′/G的解析表达式;同时给出一个作为常微分方程中驻定方程的应用实例,以及该方程作为非线性偏微分方程的辅助方程时利用扩展G′/G展开法的求解例子,通过该实例给出方程的精确行波解。 展开更多
关键词 二阶驻定方程 特征方程 指数变换 特征伴随方程(法) 降阶法 异型通解
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基于改进型SOGI-FLL的单相并网逆变器电压控制方法
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作者 李圣清 蒋兴龙 +2 位作者 周志飞 曹鹏 纪岸兵 《广东电力》 北大核心 2024年第10期94-102,共9页
针对常规基于二阶广义积分发生器的锁频环(second-order generalized integrator based frequency locked-loop,SOGI-FLL)在单相并网逆变器电压控制中对直流及谐波分量抑制能力不足,从而引起输出电压频率、相位振荡的问题,提出一种基于... 针对常规基于二阶广义积分发生器的锁频环(second-order generalized integrator based frequency locked-loop,SOGI-FLL)在单相并网逆变器电压控制中对直流及谐波分量抑制能力不足,从而引起输出电压频率、相位振荡的问题,提出一种基于改进型SOGI-FLL的单相并网逆变器电压控制方法。该方法在常规SOGI-FLL控制的基础上,在电压信号输入端加入级联型谐振滤波环节来消除谐波分量;同时引入直流控制环节,借助输入电压误差估计值来消除直流分量,达到电网电压频率和相位快速跟踪效果,从而实现电压的自适应控制。使用MATLAB及RT-LAB硬件在环半实物平台,在频率突变、含直流分量及谐波分量的非理想电网环境中,对二阶广义积分器锁相环、双二阶广义积分器锁频环与改进型SOGI-FLL 3种控制方法进行仿真及实验。结果表明,所提改进型SOGI-FLL控制方法在消除直流及谐波干扰的同时,能在0.025 s内实现频率锁定,且频率偏差小于2%,可增强系统对非理想电网信号的适应能力,实现并网电压的快速跟踪,具有良好动态性能。 展开更多
关键词 二阶广义积分器 锁频环 频率自适应 电压控制 直流分量
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考虑电力负荷需求和分布式电源不确定性的配电网重构 被引量:5
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作者 潘凯岩 赵瑞锋 +3 位作者 刘尚伟 卢建刚 刘宏达 陈奕杉 《可再生能源》 CAS CSCD 北大核心 2024年第4期546-552,共7页
随着可再生能源和可变负荷在配电系统中比例的逐步提高,配电网中电力流向的不确定性对最优网络拓扑结构的影响越来越显著。由于分布式发电和需求响应受时间因素影响,按单时段建模所得到的拓扑结构在一天中的不同时段难以达到最优。为解... 随着可再生能源和可变负荷在配电系统中比例的逐步提高,配电网中电力流向的不确定性对最优网络拓扑结构的影响越来越显著。由于分布式发电和需求响应受时间因素影响,按单时段建模所得到的拓扑结构在一天中的不同时段难以达到最优。为解决这种不确定因素的影响,文章提出了一种基于二阶锥优化的配电网重构模型,进行计及需求响应的多时段潮流分析。基于实际配网系统所存在的“源-储-荷”结构,建立了以网络运行成本和开关运行成本为目标的约束条件,利用二阶锥松弛将非凸形式搜索空间转化为凸可行域,从而进行快速求解。在改进的IEEE 33节点配电网上进行测试分析,结果表明,文章提出的方法比传统方法具有更高的准确性和更快的求解速度。 展开更多
关键词 配电网重构 需求响应 分布式发电 二阶锥优化
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基于负二阶广义积分正交信号发生器反馈并网电流有源阻尼方法研究
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作者 陈刚 刘亚雄 +1 位作者 李国雄 刘旭阳 《湖南电力》 2024年第5期50-56,共7页
LCL滤波器反馈状态变量实现有源阻尼需要高精度传感器才能具有较好的灵活性和鲁棒性,基于此,提出负二阶广义积分正交信号发生器反馈并网电流的有源阻尼方法,在抑制谐振尖峰的同时,也减少网侧电压背景谐波对并网电流的影响,同时减少传感... LCL滤波器反馈状态变量实现有源阻尼需要高精度传感器才能具有较好的灵活性和鲁棒性,基于此,提出负二阶广义积分正交信号发生器反馈并网电流的有源阻尼方法,在抑制谐振尖峰的同时,也减少网侧电压背景谐波对并网电流的影响,同时减少传感器的个数,增加系统可靠性。采用极点配置法,围绕系统的稳定裕度设计负二阶广义积分正交信号发生器参数,探讨在该有源阻尼控制系统下LCL参数和电网阻抗变化时系统的鲁棒性。仿真结果表明,所提策略在各方面均有更好效果。 展开更多
关键词 负二阶广义积分正交信号发生器 LCL滤波器 有源阻尼 参数设计
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SOGI级联SFNF的高频注入无传感器电机控制方法 被引量:1
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作者 李东昇 袁杰 王坤东 《电机与控制学报》 EI CSCD 北大核心 2024年第3期24-32,共9页
针对传统脉振高频电压注入法同时应用带通滤波器和低通滤波器导致相位偏移和位置估计误差大的问题,提出一种级联二阶广义积分器(SOGI)和单频陷波器(SFNF)的改进方法,实现位置误差信号的精确和实时提取。研究了脉振高频电压注入法位置观... 针对传统脉振高频电压注入法同时应用带通滤波器和低通滤波器导致相位偏移和位置估计误差大的问题,提出一种级联二阶广义积分器(SOGI)和单频陷波器(SFNF)的改进方法,实现位置误差信号的精确和实时提取。研究了脉振高频电压注入法位置观测闭环传递函数的幅频特性,利用SOGI的选频特性提取高频交轴响应电流,并利用SFNF的陷波特性滤除注入信号二次谐波,替代了传统误差信号提取环节中的带通滤波器和低通滤波器,参数整定简便,具备兼顾滤波精度和带宽的优势。搭建实验平台对传统误差信号提取策略和所提SOGI级联SFNF策略进行对比,实验结果表明,本文所提改进方法的响应速度和位置估计精度相比传统方法均有提高:在转速突变过程中转速估计误差降低5.9 r/min,转子位置误差降低0.11 rad;在突加负载时,转速估计误差降低3 r/min,转子位置误差降低0.08 rad,响应调节时间缩短42%,有效提高了位置观测精度和系统的动态响应性能。 展开更多
关键词 高频注入法 无刷直流电机 无传感器控制 矢量控制 二阶广义积分器 陷波器
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