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Performance Evaluation of Energy Meters Under Nonlinear Loads
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作者 GUL Mehr 邰能灵 +2 位作者 MAHAR Mukhtiar Ahmed 黄文焘 LARIK Abdul Sattar 《Journal of Shanghai Jiaotong university(Science)》 EI 2017年第2期133-138,共6页
Due to rapid advancements in power electronics, the utilization of electronically switched loads and nonlinear loads is increasing gradually in the electrical power system. These loads create problems of measuring ins... Due to rapid advancements in power electronics, the utilization of electronically switched loads and nonlinear loads is increasing gradually in the electrical power system. These loads create problems of measuring instruments, when connected to the power distribution systems. In this paper, an experimental investigation has been carried out to analyze the performance of single-phase watt-hour (induction and electronic types) energy meters that are being used in Pakistan. The accuracy of the energy meters has been tested under different household nonlinear loads, at various power factors and also at different supply voltage levels. Power factor and total harmonic distortion (THD) of different household loads are also recorded in the experimental work. A hardware based experimental setup has been designed to perform the experimental work. The experimental results have been compared to Water and Power Development Authority (WAPDA) standards for energy meters. © 2017, Shanghai Jiaotong University and Springer-Verlag Berlin Heidelberg. 展开更多
关键词 energy meter accuracy nonlinear loads experimental investigation harmonic distortion power factor
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Research on Harmonic Characteristics of Nonlinear Loads in PEMFC Generator
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作者 Jinquan Wang Jianke Li +3 位作者 Shuhua Qian Jingjing Chen Jianhua Fang Yachao Hu 《Energy and Power Engineering》 2013年第4期68-71,共4页
Hydrogen as a clean energy source is made full use, this paper researches the electrical model of PEMFC generator, analyzes the harmonic trend and its hazards when the generator operates with linear load and nonlinear... Hydrogen as a clean energy source is made full use, this paper researches the electrical model of PEMFC generator, analyzes the harmonic trend and its hazards when the generator operates with linear load and nonlinear load running synchronously, comparatively analyzes the commonly used harmonic suppression technology. Simulate and analyze the filter performance when APF is used. The results illustrate that as a filter device, APF can absorb the harmonic properly in PEMFC power system. 展开更多
关键词 PEMFC GENERATOR nonlinear load HARMONIC Flow Filter Device
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Power System Harmonics Study for Unbalanced Microgrid System with PV Sources and Nonlinear Loads
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作者 Zhanhe Liu Xufeng Xu +1 位作者 Hany A. Abdelsalam Elham Makram 《Journal of Power and Energy Engineering》 2015年第5期43-55,共13页
Harmonics distortion is a crucial problem in microgrid. Harmonic sources can be categorized as two main factors: renewable energy integration and nonlinear loads. Both factors are investigated in this paper. For renew... Harmonics distortion is a crucial problem in microgrid. Harmonic sources can be categorized as two main factors: renewable energy integration and nonlinear loads. Both factors are investigated in this paper. For renewbale energy, photovoltaic (PV) power is one of the most effective solutions for energy crisis and it is showing great potential for serving customers in microgrid. A three- phase PV source model is establised and integrated at different locations in order to observe the impact of harmonics on a microgrid and power quality (PQ). A composite load is modeled using Crossed Frequency Admittance Matrix theory. A practicdal microgrid loacated at GA, USA is used as a study system. The microgrid, PV model and nonlinear load model are simulated in MATLAB/ Simulink environment. The results show the impact of installing PV sources at two types of locations considering linear and composite nonlinear loads. In addition, three PQ indices are discussed to show the numerical impacts with various perspectives. 展开更多
关键词 CROSSED Frequency ADMITTANCE Matrix nonlinear load HARMONICS DISTORTION PV Power Quality Indices
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Topology optimization of joint load control with geometrical nonlinearity 被引量:8
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作者 Jie HOU Xiaojun GU +2 位作者 Jihong ZHU Jie WANG Weihong ZHANG 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2020年第1期372-382,共11页
This paper presents an extended topology optimization approach considering joint load constraints with geo-metrical nonlinearity in design of assembled structures.The geometrical nonlinearity is firstly included to re... This paper presents an extended topology optimization approach considering joint load constraints with geo-metrical nonlinearity in design of assembled structures.The geometrical nonlinearity is firstly included to reflect the structural response and the joint load distribution under large deformation.To avoid a failure of fastener joints,topology optimization is then carried out to minimize the structural end compliance in the equilibrium state while controlling joint loads intensities over fasteners.During nonlinear analysis and optimization,a novel implementation of adjoint vector sensitivity analysis along with super element condensation is introduced to address numerical instability issues.The degrees of freedom of weak regions are condensed so that their influences are excluded from the iterative Newton-Raphson(NR)solution.Numerical examples are presented to validate the efficiency and robustness of the proposed method.The effects of joint load constraints and geometrical nonlinearity are highlighted by comparing numerical optimization results. 展开更多
关键词 GEOMETRICAL nonlinearITY JOINT load CONSTRAINT Sensitivity analysis Super element CONDENSATION TOPOLOGY optimization
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NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATE UNDER THE UNIFORMED LOAD 被引量:3
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作者 杜国君 李慧剑 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第2期217-226,共10页
The differential equations of the axisymmetric large amplitude free vibration for circular sandwich plates under static load are derived, and a set of nonlinearly coupled algebraic and differential eigenvalue equation... The differential equations of the axisymmetric large amplitude free vibration for circular sandwich plates under static load are derived, and a set of nonlinearly coupled algebraic and differential eigenvalue equations of the problem are formulated following an assumed time mode approach suggested. The analytic solutions are presented and a relation for amplitude frequency-load of the plates with edge clamped is derived by modified iteration method. The effects of static load on vibrations of plates are investigated. 展开更多
关键词 circular sandwich plate uniformed load nonlinear amplitude frequency-load characteristic relation
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Analytical and numerical studies on the nonlinear dynamic response of orthotropic membranes under impact load 被引量:4
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作者 Liu Changjiang Zheng Zhoulian Yang Xiaoyan 《Earthquake Engineering and Engineering Vibration》 SCIE EI CSCD 2016年第4期657-672,共16页
Orthotropic membrane components and structures are widely used in building structures, instruments and meters, electronic engineering, space and aeronautics, etc., because of their light weights. However, the same lig... Orthotropic membrane components and structures are widely used in building structures, instruments and meters, electronic engineering, space and aeronautics, etc., because of their light weights. However, the same lightweight combined with low stiffness make membranes prone to vibration under dynamic loads, and in some cases the vibration may lead to structural failure. Herein, the undamped nonlinear vibration response of pretension rectangular orthotropic membrane structures subjected to impact loading is studied by analytical and numerical methods. The analytical solution is obtained by solving the governing equations by the Bubnov-Galerkin method and the Lindstedt-Poincare perturbation method. Numerical analysis has also been carried out based on the same theoretical model. The analytical and numerical results have been compared and analyzed, and the influence of various model parameters on membrane vibration discussed. The results obtained herein provide some theoretical basis for the vibration control and dynamic design of orthotropic membrane components and structures. 展开更多
关键词 MEMBRANE nonlinear vibration numerical analysis impact load parameter analysis
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NONLINEAR FREE VIBRATION OF ORTHOTROPIC SHALLOW SHELLS OF REVOLUTION UNDER THE STATIC LOADS 被引量:1
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作者 王永岗 王新志 宋慧芳 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1997年第6期585-591,共7页
In this paper, the axisymmetric nonlinear free vibration problems of cylindrically orthotropic shallow thin spherical and conical shells under uniformly distributed static loads are studied by using MWR and Lindstedt-... In this paper, the axisymmetric nonlinear free vibration problems of cylindrically orthotropic shallow thin spherical and conical shells under uniformly distributed static loads are studied by using MWR and Lindstedt-Poincare perturbation method, from which, the characteristic relation between frequency ratio and amplitude is obtained. The effects of static loads, geometric and material parameters on vibrational behavior of shells are also discussed. 展开更多
关键词 nonlinear vibration static loads ORTHOTROPIC shallow spherical shell shallow conical shell
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Simplified nonlinear theory of the dielectric loaded rectangular Cerenkov maser 被引量:2
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作者 赵鼎 丁耀根 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第9期239-246,共8页
To rapidly and accurately investigate the performance of the dielectric loaded rectangular Cerenkov maser, a simplified nonlinear theory is proposed, in which the variations of wave amplitude and wave phase are determ... To rapidly and accurately investigate the performance of the dielectric loaded rectangular Cerenkov maser, a simplified nonlinear theory is proposed, in which the variations of wave amplitude and wave phase are determined by two coupled first-order differential equations. Through combining with the relativistic equation of motion and adopting the forward wave assumption, the evolutions of the forward wave power, the power growth rate, the axial wave number, the accumulated phase offset, and the information of the particle movement can be obtained in a single-pass calculation. For an illustrative example, this method is used to study the influences of the beam current, the gap distance between the beam and the dielectric surface, and the momentum spread on the forward wave. The variations of the saturated power and the saturation length with the working frequency for the beams with different momentum spreads have also been studied. The result shows that the beam wave interaction is very sensitive to the electron beam state. To further verify this simplified theory, a comparison with the result produced from a rigorous method is also provided, we find that the evolution curves of the forward wave power predicted by the two methods exhibit excellent agreement. In practical applications, the developed theory can be used for the design and analysis of the rectangular Cerenkov maser. 展开更多
关键词 Cerenkov maser dielectric load rectangular waveguide nonlinear theory
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Nonlinear vibration and buckling of circular sandwich plate under complex load 被引量:3
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作者 杜国君 马建青 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第8期1081-1091,共11页
The nonlinear vibration fundamental equation of circular sandwich plate under uniformed load and circumjacent load and the loosely clamped boundary condi- tion were established by von Karman plate theory, and then acc... The nonlinear vibration fundamental equation of circular sandwich plate under uniformed load and circumjacent load and the loosely clamped boundary condi- tion were established by von Karman plate theory, and then accordingly exact solution of static load and its numerical results were given. Based on time mode hypothesis and the variational method, the control equation of the space mode was derived, and then the amplitude frequency-load character relation of circular sandwich plate was obtained by the modified iteration method. Consequently the rule of the effect of the two kinds of load on the vibration character of the circular sandwich plate was investigated. When circumjacent load makes the lowest natural frequency zero, critical load is obtained. 展开更多
关键词 circular sandwich plate nonlinear vibration BUCKLING complex load amplitude frequency-load characteristic relation
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Nonlinear vibration of embedded single-walled carbon nanotube with geometrical imperfection under harmonic load based on nonlocal Timoshenko beam theory 被引量:1
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作者 王博 邓子辰 张凯 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第3期269-280,共12页
Based on the nonlocal continuum theory, the nonlinear vibration of an embedded single-walled carbon nanotube (SWCNT) subjected to a harmonic load is in- vestigated. In the present study, the SWCNT is assumed to be a... Based on the nonlocal continuum theory, the nonlinear vibration of an embedded single-walled carbon nanotube (SWCNT) subjected to a harmonic load is in- vestigated. In the present study, the SWCNT is assumed to be a curved beam, which is unlike previous similar work. Firstly, the governing equations of motion are derived by the Hamilton principle, meanwhile, the Galerkin approach is carried out to convert the nonlinear integral-differential equation into a second-order nonlinear ordinary differ- ential equation. Then, the precise integration method based on the local linearzation is appropriately designed for solving the above dynamic equations. Besides, the numerical example is presented, the effects of the nonlocal parameters, the elastic medium constants, the waviness ratios, and the material lengths on the dynamic response are analyzed. The results show that the above mentioned effects have influences on the dynamic behavior of the SWCNT. 展开更多
关键词 embedded curved carbon nanotube nonlocal Timoshenko beam theory nonlinear vibration harmonic load precise integrator method
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Research on stability of laminated composite plate under nonlinear aerodynamic load
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作者 The Van Tran Quoc Hoa Pham Nhan Thinh Hoang 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2023年第4期320-328,共9页
In this paper,we propose an finite element approach based on classical plate theory to investigate the dynamic stability of a layered composite plate subject to nonlinear aerodynamic load.This study considers the infl... In this paper,we propose an finite element approach based on classical plate theory to investigate the dynamic stability of a layered composite plate subject to nonlinear aerodynamic load.This study considers the influence of temperature,nonlinear geometry,and nonlinear aerodynamic load on composite plate structures simultaneously.Specifically,the present work conduct comparison the results of the critical pressure value between the nonlinear aerodynamic load and the linear aerodynamic load,thereby pointing out some necessary cases which must consider the nonlinearity of aerodynamic load for calculating the aerospace structures.We determine the critical pressure value and vibrational amplitude response of the plate by means of calculation.The outcomes of our calculations can be useful in designing and repairing body shells and wings of aircraft equipment. 展开更多
关键词 Finite element approach nonlinear aerodynamic load Composite plate
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DISCUSSION OF CRITICAL LOAD IN NONLINEAR STABILITY ANALYSIS AND SUGGESTION OF VARIATIONAL PRINCIPLE OF SOLVING CRITICAL LOADS
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作者 李龙元 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1990年第3期293-295,共3页
In this paper, a set of variational formulas of solving nonlinear instability critical loads are established from the viewpoint of variational principle. The paper shows that it is very convenient to solve nonlinear i... In this paper, a set of variational formulas of solving nonlinear instability critical loads are established from the viewpoint of variational principle. The paper shows that it is very convenient to solve nonlinear instability critical load by using the variational formulas suggested in this paper. 展开更多
关键词 MODE DISCUSSION OF CRITICAL load IN nonlinear STABILITY ANALYSIS AND SUGGESTION OF VARIATIONAL PRINCIPLE OF SOLVING CRITICAL loadS
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APPLICATION OF NONLINEAR PID CONTROLLER IN AERODYNAMICS LOADING SYSTEM
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作者 Hu Fei Cai Xiaobin Li Yanjun(Department of Computer Science, Northwesternm PolytechnicalUniversity, Xi’an, 710072, China) 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 1997年第2期155-160,共6页
The design idea of tracking-differentiator and the nonlinear PID controllerare introduced, the applicable algorithm and its real result for distributed aerodynamicsloading control system are discussed, and the constru... The design idea of tracking-differentiator and the nonlinear PID controllerare introduced, the applicable algorithm and its real result for distributed aerodynamicsloading control system are discussed, and the construction of the test & contro1 system arealso presented. The application shows that the nonlinear PID algorithm has the advan-tages of high reliability, short run time and strong stability. 展开更多
关键词 aerodynamic loads nonlinearITY proportional-integral-differential (controller) controllers test & control systems
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Adaptive Nonlinear Optimal Compensation Control for Electro-hydraulic Load Simulator 被引量:30
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作者 Yao Jianyong Jiao Zongxia +1 位作者 Shang Yaoxing Huang Cheng 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2010年第6期720-733,共14页
Directing to the strong position coupling problem of electro-hydraulic load simulator (EHLS), this article presents an adaptive nonlinear optimal compensation control strategy based on two estimated nonlinear paramete... Directing to the strong position coupling problem of electro-hydraulic load simulator (EHLS), this article presents an adaptive nonlinear optimal compensation control strategy based on two estimated nonlinear parameters, viz. the flow gain coefficient of servo valve and total factors of flow-pressure coefficient. Taking trace error of torque control system to zero as control object, this article designs the adaptive nonlinear optimal compensation control strategy, which regards torque control output of closed-loop controller converging to zero as the control target, to optimize torque tracking performance. Electro-hydraulic load simulator is a typical case of the torque system which is strongly coupled with a hydraulic positioning system. This article firstly builds and analyzes the mathematical models of hydraulic torque and positioning system, then designs an adaptive nonlinear optimal compensation controller, proves the validity of parameters estimation, and shows the comparison data among three control structures with various typical operating conditions, including proportion-integral-derivative (PID) controller only, the velocity synchronizing controller plus P1D controller and the proposed adaptive nonlinear optimal compensation controller plus PID controller. Experimental results show that systems' nonlinear parameters are estimated exactly using the proposed method, and the trace accuracy of the torque system is greatly enhanced by adaptive nonlinear optimal compensation control, and the torque servo system capability against sudden disturbance can be greatly improved. 展开更多
关键词 torque control nonlinear control optimal control ADAPTIVE electro-hydraulic load simulator parameter estimation position disturbance
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A practical nonlinear robust control approach of electro-hydraulic load simulator 被引量:10
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作者 Wang Chengwen Jiao Zongxia +1 位作者 Wu Shuai Shang Yaoxing 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2014年第3期735-744,共10页
This paper studies a nonlinear robust control algorithm of the electro-hydraulic load simulator (EHLS). The tracking performance of the EHLS is mainly limited by the actuator's motion disturbance, flow nonlinearity... This paper studies a nonlinear robust control algorithm of the electro-hydraulic load simulator (EHLS). The tracking performance of the EHLS is mainly limited by the actuator's motion disturbance, flow nonlinearity, and friction, etc. The developed controller is developed based on the nonlinear motion loading model. The problems of the actuator's disturbance and flow nonlinearity are considered. To address the friction problem, the friction model of the loading motor is identified experimentally. The friction disturbance is compensated using the obtained friction model. Therefore, this paper considers the main three factors comprehensively. The developed algorithm is easy to apply since the controller can be obtained just with one step back-stepping design. The stability of the developed algorithm is proven via Lyapunov analysis. Both co-simulation and experiments are performed to verify the effectiveness of this method. 展开更多
关键词 CO-SIMULATION Electro-hydraulic load simulator Hydraulic control equipment nonlinear robust control Parametric uncertainty
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NONLINEAR VIBRATION OF CIRCULAR SANDWICH PLATES UNDER CIRCUMJACENT LOAD
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作者 杜国君 马建青 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2006年第10期1417-1424,共8页
Based on von Karman plate theory, the issue about nonlinear vibration for circular sandwich plates under circumjacent load with the loosely clamped boundary condition was researched. Nonlinear differential eigenvalue ... Based on von Karman plate theory, the issue about nonlinear vibration for circular sandwich plates under circumjacent load with the loosely clamped boundary condition was researched. Nonlinear differential eigenvalue equations and boundary conditions of the problem were formulated by variational method and then their exact static solution can be got. The solution was derived by modified iteration method, so the analytic relations between amplitude and nonlinear oscillating frequency for circular sandwich plates were obtained. When circumjacent load makes the lowest natural frequency zero, critical load is obtained. 展开更多
关键词 sandwich plate nonlinear vibration critical load BUCKLING amplitude frequency-load characteristic relation
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Nonlinear Adaptive Robust Force Control of Hydraulic Load Simulator 被引量:18
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作者 YAO Jianyong JIAO Zongxia +2 位作者 YAO Bin SHANG Yaoxing DONG Wenbin 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2012年第5期766-775,共10页
This paper deals with the high performance force control of hydraulic load simulator. Many previous works for hydraulic force control are based on their linearization equations, but hydraulic inherent nonlinear proper... This paper deals with the high performance force control of hydraulic load simulator. Many previous works for hydraulic force control are based on their linearization equations, but hydraulic inherent nonlinear properties and uncertainties make the conven- tional feedback proportional-integral-derivative control not yield to high-performance requirements. In this paper, a nonlinear system model is derived and linear parameterization is made for adaptive control. Then a discontinuous projection-based nonlin- ear adaptive robust force controller is developed for hydraulic load simulator. The proposed controller constructs an asymptoti- cally stable adaptive controller and adaptation laws, which can compensate for the system nonlinearities and uncertain parame- ters. Meanwhile a well-designed robust controller is also developed to cope with the hydraulic system uncertain nonlinearities. The controller achieves a guaranteed transient performance and final tracking accuracy in the presence of both parametric uncer- tainties and uncertain nonlinearities; in the absence of uncertain nonlinearities, the scheme also achieves asymptotic tracking performance. Simulation and experiment comparative results are obtained to verify the high-performance nature of the proposed control strategy and the tracking accuracy is greatly improved. 展开更多
关键词 hydraulic load simulator adaptive control robust control nonlinear control hydraulic actuators Lyapunov functions
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Behaviour of Earth Dam under Seismic Load Considering Nonlinearity of the Soil 被引量:1
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作者 Mohammad Asif Raja Bal Krishna Maheshwari 《Open Journal of Civil Engineering》 2016年第2期75-83,共9页
The stability and safety are very important issues for the dam structure which are built in seismic regions. The dam body consists of soil materials that behave nonlinearly modelled with finite elements. The numerical... The stability and safety are very important issues for the dam structure which are built in seismic regions. The dam body consists of soil materials that behave nonlinearly modelled with finite elements. The numerical investigation employs a fully nonlinear finite element analysis considering linear and elastic-plastic constitutive model to describe the material properties of the soil. In this paper, seismic analysis of an earthen dam is carried out using Geo-Studio software based on finite element method. Initially, the in-situ stress state analysis has been done before the earthquake established, and then its results are used in the seismic analysis as a parent analysis. A complete parametric study is carried out to identify the effects of input motion characteristics, soil behaviour and strength of the shell and core materials on the dynamic response of earthen dams. The real earthquake record is used as input motions. The analysis gives the overall pattern of the dam behaviour in terms of contours of displacements and stresses. 展开更多
关键词 Earthen Dam nonlinearITY Seismic Response Earthquake loads Elastic-Plastic Model
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Variable Parameter Nonlinear Control for Maximum Power Point Tracking Considering Mitigation of Drive-train Load 被引量:2
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作者 Zaiyu Chen Minghui Yin +3 位作者 Lianjun Zhou Yaping Xia Jiankun Liu Yun Zou 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2017年第2期252-259,共8页
Since mechanical loads exert a significant influence on the life span of wind turbines, the reduction of transient load on drive-train shaft has received more attention when implementing a maximum power point tracking... Since mechanical loads exert a significant influence on the life span of wind turbines, the reduction of transient load on drive-train shaft has received more attention when implementing a maximum power point tracking U+0028 MPPT U+0029 controller. Moreover, a trade-off between the efficiency of wind energy extraction and the load level of drive-train shaft becomes a key issue. However, for the existing control strategies based on nonlinear model of wind turbines, the MPPT efficiencies are improved at the cost of the intensive fluctuation of generator torque and significant increase of transient load on drive train shaft. Hence, in this paper, a nonlinear controller with variable parameter is proposed for improving MPPT efficiency and mitigating transient load on drive-train simultaneously. Then, simulations on FAST U+0028 Fatigue, Aerodynamics, Structures, and Turbulence U+0029 code and experiments on the wind turbine simulator U+0028 WTS U+0029 based test bench are presented to verify the efficiency improvement of the proposed control strategy with less cost of drive-train load. © 2017 Chinese Association of Automation. 展开更多
关键词 AERODYNAMICS Controllers Economic and social effects Maximum power point trackers Wind power Wind turbines
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负荷等值阻抗参数在非线性负荷分析中的研究现状及展望 被引量:1
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作者 张逸 康燕艺 郑宗华 《电源学报》 北大核心 2025年第3期76-85,共10页
随着新能源、电力电子等技术快速发展,非线性负荷在电力系统中的占比日益增加,导致电网电能质量问题日益严重。负荷等值阻抗参数是分析非线性负荷特性的重要参数之一,系统梳理负荷等值阻抗参数辨识技术及应用领域的研究现状,并展望未来... 随着新能源、电力电子等技术快速发展,非线性负荷在电力系统中的占比日益增加,导致电网电能质量问题日益严重。负荷等值阻抗参数是分析非线性负荷特性的重要参数之一,系统梳理负荷等值阻抗参数辨识技术及应用领域的研究现状,并展望未来研究方向和应用趋势。首先,阐述负荷等值阻抗参数的基本原理;其次,对现有负荷等值阻抗参数辨识方法进行梳理分析,指出不同参数辨识方法的精度、适用范围和优缺点;再次,综述负荷等值阻抗参数在谐波分析和瞬时无功计算中的应用;最后,探讨负荷等值阻抗参数进一步的研究方向,并对目前领域以外的扩展应用进行展望。 展开更多
关键词 负荷等值阻抗参数 非线性负荷 参数辨识 谐波源识别 谐波源定位与责任划分
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