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The relation between the generalised Eshelby integral and the generalised BCS and DB models
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作者 范天佑 范蕾 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第3期314-321,共8页
The generalised BCS dislocation group model and the generalised DB atomic cohesive force zone model have obtained the sarne results on nonlinear fracture study of some one-, two- and three-dimensional quasicrystals. T... The generalised BCS dislocation group model and the generalised DB atomic cohesive force zone model have obtained the sarne results on nonlinear fracture study of some one-, two- and three-dimensional quasicrystals. This work reveals some inherent connection between the two models, and finds that their common basis is the generalised Eshelby integral based on the generalised Eshelby energy momentum tensor for quasicrystals. Further applications of the theory in solving nonlinear fracture problems of the materials are also discussed. 展开更多
关键词 QUASICRYSTALS CRACK PLASTICITY generalised Eshelby integral
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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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Intelligent Integrated Control of Underactuated Mechanical Systems with Second-order Nonholonomic Constraints
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作者 赖旭芝 Wu Min +1 位作者 Cai Zixing She Jinhua 《High Technology Letters》 EI CAS 2003年第3期81-85,共5页
This paper describes an intelligent integrated control of an acrobot, which is an underactuated mechanical system with second-order nonholonomic constraints. The control combines a model-free fuzzy control, a fuzzy sl... This paper describes an intelligent integrated control of an acrobot, which is an underactuated mechanical system with second-order nonholonomic constraints. The control combines a model-free fuzzy control, a fuzzy sliding-mode control and a model-based fuzzy control. The model-free fuzzy controller designed for the upswing ensures that the energy of the acrobot increases with each swing. Then the fuzzy sliding-mode controller is employed to control the movement that the acrobot enters the balance area from the swing-up area. The model-based fuzzy controller, which is based on a Takagi-Sugeno fuzzy model, is used to balance the acrobot. The stability of the fuzzy control system for balance control is guaranteed by a common symmetric positive matrix, which satisfies linear matrix inequalities. 展开更多
关键词 intelligent integrated control underactuated mechanical systems second-order nonholonomic constraints
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ANALYTICAL SOLUTION OF FLOW OF SECOND-ORDER NON-NEWTONIAN FLUIDS THROUGH ANNULAR PIPES 被引量:1
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作者 朱文辉 刘慈群 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1993年第3期209-215,共7页
This paper presents an analytical solution to the unsteady flow of the second-order non-Newtonian fluids by the use of intergral transformation method. Based on the numerical results, the effect of non-Newtonian coeff... This paper presents an analytical solution to the unsteady flow of the second-order non-Newtonian fluids by the use of intergral transformation method. Based on the numerical results, the effect of non-Newtonian coefficient Hc and other parameters on the flow are analysed. It is shown that the annular flow has a shorter characteristic time than the general pipe flow while the correspondent velocity, average velocity have a ... nailer value for a given Hc. Else, when radii ratio keeps unchanged, the shear stress of inner wall of annular flow will change with the inner radius -compared with the general pipe flow and is always smaller than that of the outer wall. 展开更多
关键词 integral transformation shape factor non-Newtonian coefficient second-order fluids annular pipes
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Second-order interference of two independent and tunable single-mode continuous-wave lasers 被引量:1
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作者 刘建彬 卫栋 +5 位作者 陈辉 周宇 郑淮斌 高宏 李福利 徐卓 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第3期194-199,共6页
The second-order temporal interference of two independent single-mode continuous-wave lasers is discussed by em- ploying two-photon interference in Feynman's path integral theory. It is concluded that whether the sec... The second-order temporal interference of two independent single-mode continuous-wave lasers is discussed by em- ploying two-photon interference in Feynman's path integral theory. It is concluded that whether the second-order temporal interference pattern can or cannot be retrieved via two-photon coincidence counting rate is dependent on the resolution time of the detection system and the frequency difference between these two lasers. Two identical and tunable single-mode continuous-wave diode lasers are employed to verify the predictions. These studies are helpful to understand the physics of two-photon interference with photons of different spectra. 展开更多
关键词 second-order temporal beating two-photon interference Feynman's path integral theory
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A stable implicit nodal integration-based particle finite element method(N-PFEM)for modelling saturated soil dynamics 被引量:1
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作者 Liang Wang Xue Zhang +1 位作者 Jingjing Meng Qinghua Lei 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2024年第6期2172-2183,共12页
In this study,we present a novel nodal integration-based particle finite element method(N-PFEM)designed for the dynamic analysis of saturated soils.Our approach incorporates the nodal integration technique into a gene... In this study,we present a novel nodal integration-based particle finite element method(N-PFEM)designed for the dynamic analysis of saturated soils.Our approach incorporates the nodal integration technique into a generalised Hellinger-Reissner(HR)variational principle,creating an implicit PFEM formulation.To mitigate the volumetric locking issue in low-order elements,we employ a node-based strain smoothing technique.By discretising field variables at the centre of smoothing cells,we achieve nodal integration over cells,eliminating the need for sophisticated mapping operations after re-meshing in the PFEM.We express the discretised governing equations as a min-max optimisation problem,which is further reformulated as a standard second-order cone programming(SOCP)problem.Stresses,pore water pressure,and displacements are simultaneously determined using the advanced primal-dual interior point method.Consequently,our numerical model offers improved accuracy for stresses and pore water pressure compared to the displacement-based PFEM formulation.Numerical experiments demonstrate that the N-PFEM efficiently captures both transient and long-term hydro-mechanical behaviour of saturated soils with high accuracy,obviating the need for stabilisation or regularisation techniques commonly employed in other nodal integration-based PFEM approaches.This work holds significant implications for the development of robust and accurate numerical tools for studying saturated soil dynamics. 展开更多
关键词 Particle finite element method Nodal integration Dynamic saturated media second-order cone programming(SOCP)
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Frequency Adaptive Grid Synchronization Detection Algorithm Based on SOGI
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作者 Jie Shao Zihao Zhang +5 位作者 Quan Xu Tiantian Cai Junye Li Baicheng Xiang Shijie Li Xianfeng Xu 《Energy Engineering》 2025年第6期2291-2307,共17页
In response to the complex working conditions of the power grid caused by the high proportion of new energy access,which leads to insufficient output accuracy of the second-order generalized integrator(SOGI)phaselocke... In response to the complex working conditions of the power grid caused by the high proportion of new energy access,which leads to insufficient output accuracy of the second-order generalized integrator(SOGI)phaselocked loop,this article proposes an improved frequency adaptive phase-locked loop structure for SOGI.Firstly,an amplitude compensation branch is introduced to compensate for the SOGI tracking fundamental frequency signal,ensuring the accuracy of the SOGI output orthogonal signal under frequency fluctuation conditions.Secondly,by cascading two adaptive SOGI modules,the suppression capability of low-order harmonics and Direct Current(DC)components has been improved.Finally,the positive and negative sequence separation method of orthogonal signals is introduced to eliminate the influence of unbalanced components on the phase-locked loop.The comparative experiment with the classic SOGI-PLL method shows that the proposed phase-locked loop structure effectively improves the accuracy of power grid synchronization detection under complex working conditions such as harmonic components,unbalanced components,and frequency fluctuations.It can complete frequency detection within 1.5 power frequency cycles,and the detected fundamental frequency positive sequence voltage has a higher sinuosity and harmonic distortion rate within 0.5%. 展开更多
关键词 Phase-locked loop second-order generalized integrator pre-filtering frequency adaptation harmonic distortion
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Design of Wind Turbine Torque Controller with Second‑Order Integral Sliding Mode Based on VGWO Algorithm 被引量:3
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作者 MA Leiming XIAO Lingfei +1 位作者 SATTAROV Robert R HUANG Xinhao 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2021年第2期259-270,共12页
A robust control strategy using the second-order integral sliding mode control(SOISMC)based on the variable speed grey wolf optimization(VGWO)is proposed.The aim is to maximize the wind power extraction of wind turbin... A robust control strategy using the second-order integral sliding mode control(SOISMC)based on the variable speed grey wolf optimization(VGWO)is proposed.The aim is to maximize the wind power extraction of wind turbine.Firstly,according to the uncertainty model of wind turbine,a SOISMC torque controller with fast convergence speed,strong robustness and effective chattering reduction is designed,which ensures that the torque controller can effectively track the reference speed.Secondly,given the strong local search ability of the grey wolf optimization(GWO)and the fast convergence speed and strong global search ability of the particle swarm optimization(PSO),the speed component of PSO is introduced into GWO,and VGWO with fast convergence speed,high solution accuracy and strong global search ability is used to optimize the parameters of wind turbine torque controller.Finally,the simulation is implemented based on Simulink/SimPowerSystem.The results demonstrate the effectiveness of the proposed strategy under both external disturbance and model uncertainty. 展开更多
关键词 integral sliding mode second-order sliding mode maximum power point tracking optimization algorithm wind turbine
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DC offset rejection in a frequency-fixed second-order generalized integrator-based phase-locked loop for single-phase grid-connected applications 被引量:2
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作者 Issam A.Smadi Bayan H.Bany Fawaz 《Protection and Control of Modern Power Systems》 2022年第1期1-13,共13页
Fast and accurate monitoring of the phase,amplitude,and frequency of the grid voltage is essential for single-phase grid-connected converters.The presence of DC offset in the grid voltage is detrimental to not only gr... Fast and accurate monitoring of the phase,amplitude,and frequency of the grid voltage is essential for single-phase grid-connected converters.The presence of DC offset in the grid voltage is detrimental to not only grid synchronization but also the closed-loop stability of the grid-connected converters.In this paper,a new synchronization method to mitigate the effect of DC offset is presented using arbitrarily delayed signal cancelation(ADSC)in a second-order generalized integrator(SOGI)phase-locked loop(PLL).A frequency-fixed SOGI-based PLL(FFSOGI-PLL)is adopted to ensure better stability and to reduce the complexity compared with other SOGI-based PLLs.A small-signal model of the proposed PLL is derived for the systematic design of proportional-integral(PI)controller gains.The effects of frequency variation and ADSC on the proposed PLL are considered,and correction methods are adopted to accurately estimate grid information.The simulation results are presented,along with comparisons to other single-phase PLLs in terms of settling time,peak frequency,and phase error to validate the proposed PLL.The dynamic performance of the proposed PLL is also experimentally validated.Overall,the proposed PLL has the fastest transient response and better dynamic performance than the other PLLs for almost all performance indices,offering an improved solution for precise grid synchronization in single-phase applications. 展开更多
关键词 Grid integration Virtual microgrid DC offset mitigation Grid synchronization Phase-locked loop second-order generalized integrator
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Radar fast long-time coherent integration via TR-SKT and robust sparse FRFT 被引量:1
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作者 CHEN Xiaolong GUAN Jian +2 位作者 ZHENG Jibin ZHANG Yue YU Xiaohan 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2023年第5期1116-1129,共14页
Long-time coherent integration(LTCI)is an effective way for radar maneuvering target detection,but it faces the problem of a large number of search parameters and large amount of calculation.Realizing the simultaneous... Long-time coherent integration(LTCI)is an effective way for radar maneuvering target detection,but it faces the problem of a large number of search parameters and large amount of calculation.Realizing the simultaneous compensation of the range and Doppler migrations in complex clutter back-ground,and at the same time improving the calculation efficiency has become an urgent problem to be solved.The sparse transformation theory is introduced to LTCI in this paper,and a non-parametric searching sparse LTCI(SLTCI)based maneuvering target detection method is proposed.This method performs time reversal(TR)and second-order Keystone transform(SKT)in the range frequency&slow-time data to complete high-order range walk compensation,and achieves the coherent integra-tion of maneuvering target across range and Doppler units via the robust sparse fractional Fourier transform(RSFRFT).It can compensate for the nonlinear range migration caused by high-order motion.S-band and X-band radar data measured in sea clutter background are used to verify the detection performance of the proposed method,which can achieve better detection performance of maneuvering targets with less computational burden compared with several popular integration methods. 展开更多
关键词 radar maneuvering target detection sea clutter long-time coherent integration(LTCI) sparse transformation time reversal(TR) second-order Keystone transform(SKT)
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Day-ahead Optimization Schedule for Gas-electric Integrated Energy System Based on Second-order Cone Programming 被引量:28
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作者 Yonghui Sun Bowen Zhang +3 位作者 Leijiao Ge Denis Sidorov Jianxi Wang Zhou Xu 《CSEE Journal of Power and Energy Systems》 SCIE CSCD 2020年第1期142-151,共10页
This paper proposes an optimal day-ahead opti-mization schedule for gas-electric integrated energy system(IES)considering the bi-directional energy flow.The hourly topology of electric power system(EPS),natural gas sy... This paper proposes an optimal day-ahead opti-mization schedule for gas-electric integrated energy system(IES)considering the bi-directional energy flow.The hourly topology of electric power system(EPS),natural gas system(NGS),energy hubs(EH)integrated power to gas(P2G)unit,are modeled to minimize the day-ahead operation cost of IES.Then,a second-order cone programming(SOCP)method is utilized to solve the optimization problem,which is actually a mixed integer nonconvex and nonlinear programming issue.Besides,cutting planes are added to ensure the exactness of the global optimal solution.Finally,simulation results demonstrate that the proposed optimization schedule can provide a safe,effective and economical day-ahead scheduling scheme for gas-electric IES. 展开更多
关键词 Day-ahead optimization schedule integrated energy system natural gas system second-order cone programming
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A two-stage resilience planning for integrated electricity-gas energy system considering hydrogen refueling stations during typhoons
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作者 Fu Gao Hui Hou +4 位作者 Zhao Yang Dong Junyi Tang Yulin Yan Ji Zhang Changjun Xie 《Smart Power & Energy Security》 2025年第1期25-35,共11页
To reduce the loss of the integrated electricity-gas energy system(IEGS)during typhoons,this paper proposes a two-stage resilience planning method for the IEGS considering hydrogen refueling stations(HRSs).Monte Carlo... To reduce the loss of the integrated electricity-gas energy system(IEGS)during typhoons,this paper proposes a two-stage resilience planning method for the IEGS considering hydrogen refueling stations(HRSs).Monte Carlo and simultaneous backward scenario reduction methods are used to generate typical power distribution network(PDN)line fault scenarios,which are then input into the two-stage resilience planning model.The first stage solves the resilience enhancement investment decision problem.It decides the locations and capacities of HRSs and gas-fired distributed generations(DGs).The second stage solves the system operation problem to minimize the cost in all fault scenarios.It de-termines the power of fuel cells and gas-fired DGs,the load shedding,as well as the line connection status.The resilience planning scheme with the minimum sum of the investment and system operation cost can be obtained by coordinating two stages.Finally,the simulation is verified via the IEEE 33-node PDN coupled with the 7-node gas network using historical data from the 2023 super typhoon“Saola”.The results indicate that the proposed method can not only reduce the investment and system operation cost;but also reduce load shedding and improve the ability to restore power supply in fault scenarios,therefore enhancing IEGS's resilience. 展开更多
关键词 TYPHOONS Hydrogen refueling stations integrated electricity-gas energy system Resilience planning Mixed-integer second-order cone programming
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微网主从控制模式下的稳定性分析 被引量:38
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作者 李霞林 郭力 王成山 《电工技术学报》 EI CSCD 北大核心 2014年第2期24-34,共11页
主要研究主从控制模式下微网独立运行时的稳定性问题。基于离散时间状态方程的微网数学模型,通过特征值理论分析和PSCAD仿真结果验证,发现当主电源电压环比例增益、从电源数量或负荷等参数发生变化时,系统特征矩阵中一对高频共轭复特征... 主要研究主从控制模式下微网独立运行时的稳定性问题。基于离散时间状态方程的微网数学模型,通过特征值理论分析和PSCAD仿真结果验证,发现当主电源电压环比例增益、从电源数量或负荷等参数发生变化时,系统特征矩阵中一对高频共轭复特征值会到达z域单位圆外,导致系统不稳定,交流母线电压和各分布式电源输出电流中出现高频振荡分量。提出在主电源电压环电压反馈通道中加入基于二阶通用积分环节的带通滤波器,能有效改善系统的稳定性,保证系统稳定运行。 展开更多
关键词 微网 主从控制模式 小扰动稳定性 特征值分析 二阶通用积分器 second-order GENERALIZED integrator(SOGI)
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基于DSOGI-QSG和PNLM方法的MMC-HVDC控制策略
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作者 张明光 陈治鹏 《兰州理工大学学报》 CAS 北大核心 2018年第6期84-91,共8页
采用模型预测(MPC)与虚拟磁链估算方法相结合的策略,通过预测最近电平逼近调制算法(PNLM)对模块化多电平换流器高压直流输电系统(MMC-HVDC)进行控制.分析了MMC-HVDC在最近电平逼近调制策略下的差分预测模型;考虑了影响虚拟磁链估算精度... 采用模型预测(MPC)与虚拟磁链估算方法相结合的策略,通过预测最近电平逼近调制算法(PNLM)对模块化多电平换流器高压直流输电系统(MMC-HVDC)进行控制.分析了MMC-HVDC在最近电平逼近调制策略下的差分预测模型;考虑了影响虚拟磁链估算精度的各种因素,并采用二阶广义积分虚拟磁链估算方法(DSOGI-QSG)来提高锁相的精度及磁链估算的可靠性;采用PNLM方法减少传统MPC算法的计算量.最后,在PSCAD-EMTDC平台上搭建21电平MMC-HVDC系统以仿真验证上述控制策略.仿真结果表明,该控制策略可以较好地实现有功、无功解耦,有效应对功率变化扰动;可以较好地实现直流侧电压稳定、交流侧电流跟随及相间环流抑制的控制目标. 展开更多
关键词 二阶广义积分器 模型预测 最近电平逼近 优化
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Bochner空间中非凸积分泛函的广义梯度 被引量:1
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作者 郝彦 吴勤华 王玉文 《哈尔滨师范大学自然科学学报》 CAS 1999年第4期20-24,共5页
1979年 ,J.P.Aubin与 F.H.Clarke[1 ] 在非负完备测度空间 ( T,Σ,μ)具有有限测度 μ( T) <+∞条件下 ,给出 Lp( T,Σ,μ) ( 1≤ p<∞ )中积分泛函f ( x ) =∫Tft( x( t)μ( dt)的广义梯度满足 2 f ( x) ∫T2 ft( x ( t)μ( dt... 1979年 ,J.P.Aubin与 F.H.Clarke[1 ] 在非负完备测度空间 ( T,Σ,μ)具有有限测度 μ( T) <+∞条件下 ,给出 Lp( T,Σ,μ) ( 1≤ p<∞ )中积分泛函f ( x ) =∫Tft( x( t)μ( dt)的广义梯度满足 2 f ( x) ∫T2 ft( x ( t)μ( dt)的条件 ,然而其中条件 ( B) [1 ] 对于μ( T) =+∞是无意义的 .本文给出条件 ( B* ) ,使得上式对于 σ-有限测度均成立 ,且当 μ( T) <+∞时 ,条件 ( B) 条件 ( B* ) . 展开更多
关键词 Bochner空间 积分泛函数 非凸积分泛函 广义梯度
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Broadband ADCP digital signal processing based on CIC filter banks 被引量:2
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作者 YAN Yu CHEN Shi-li ZENG Zhou-mo 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2019年第2期116-125,共10页
The acoustic Doppler current profilers(ADCP)as a new type of flow measuring equipment,can measure the flow velocity of the channel section directly.ADCP has the advantages of short measuring time and wide measuring ra... The acoustic Doppler current profilers(ADCP)as a new type of flow measuring equipment,can measure the flow velocity of the channel section directly.ADCP has the advantages of short measuring time and wide measuring range.The traditional ADCP processing system uses analog method to realize demodulation and filtering,which will introduce extra errors.While digital processing system will greatly increase the computation and slow down the speed of data processing.To solve this problem,an efficient real-time broadband ADCP digital signal processing system is proposed based on the low computational cascade integrator comb(CIC)cascade and interpolated second-order polynomial(ISOP)filter banks.The digital in-phase and quadrature(IQ)demodulation,CIC filter banks,and complex autocorrelation operation steps are cascaded with a pipelined method in the system,which greatly improves the system operating speed while avoiding the high memory occupation of non-real-time systems. 展开更多
关键词 acoustic Doppler current profilers(ADCP) in-phase and quadrature(IQ)demodulation cascade integrator comb(CIC) interpolated second-order polynomial(ISOP) autocorrelation operation
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An Improved Stator Flux Observation Method of Permanent Magnet Synchronous Motor 被引量:1
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作者 Guangjing Su Hongmei Li +1 位作者 Ying Dai Zheng Li 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2016年第6期90-96,共7页
The stator flux and electromagnetic torque observation is the basis of direct torque controlled permanent magnet synchronous motor( PMSM) drive system. However,the traditional stator flux observer based on voltage mod... The stator flux and electromagnetic torque observation is the basis of direct torque controlled permanent magnet synchronous motor( PMSM) drive system. However,the traditional stator flux observer based on voltage model is affected by integral initial values and integral drift,that based on current model is affected by the parameters of PMSM,so a new stator flux observation method is proposed based on an improved secondorder generalized integrator( SOGI). Compared to the stator flux observation method based on the conventional SOGI,the proposed method can not only overcome the influence of integral initial values and integral drift,but also completely eliminate the DC offset's influence. Therefore,the observation accuracy of stator flux is further improved. The simulation and experimental results both show that the proposed method has a higher stator flux and electromagnetic torque observation precision. 展开更多
关键词 permanent magnet synchronous motor direct torque control second-order generalized integrator stator flux observation electromagnetic torque observation
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χ(^(2)) nonlinear photonics in integrated microresonators 被引量:5
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作者 Pengfei Liu Hao Wen +2 位作者 Linhao Ren Lei Shi Xinliang Zhang 《Frontiers of Optoelectronics》 EI CSCD 2023年第3期1-23,共23页
Second-order(χ^((2))) optical nonlinearity is one of the most common mechanisms for modulating and generating coherent light in photonic devices.Due to strong photon confnement and long photon lifetime,integrated mic... Second-order(χ^((2))) optical nonlinearity is one of the most common mechanisms for modulating and generating coherent light in photonic devices.Due to strong photon confnement and long photon lifetime,integrated microresonators have emerged as an ideal platform for investigation of nonlinear optical efects.However,existing silicon-based materials lack a χ^((2)) response due to their centrosymmetric structures.A variety of novel material platforms possessing χ^((2)) nonlinearity have been developed over the past two decades.This review comprehensively summarizes the progress of second-order nonlinear optical efects in integrated microresonators.First,the basic principles of χ^((2)) nonlinear efects are introduced.Afterward,we highlight the commonly used χ^((2)) nonlinear optical materials,including their material properties and respective functional devices.We also discuss the prospects and challenges of utilizing χ^((2)) nonlinearity in the feld of integrated microcavity photonics. 展开更多
关键词 second-order nonlinearity integrated microresonators Frequency conversion Electro-optic efect
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Conic Optimal Energy Flow of Integrated Electricity and Natural Gas Systems 被引量:1
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作者 Rufeng Zhang Tao Jiang +3 位作者 Fangxing Li Guoqing Li Xue Li Houhe Chen 《Journal of Modern Power Systems and Clean Energy》 SCIE EI CSCD 2021年第4期963-967,共5页
In this letter, we propose a market-based bi-level conic optimal energy flow (OEF) model of integrated electricity and natural gas systems (IENGSs). Conic alternating current optimal power flow (ACOPF) is formulated i... In this letter, we propose a market-based bi-level conic optimal energy flow (OEF) model of integrated electricity and natural gas systems (IENGSs). Conic alternating current optimal power flow (ACOPF) is formulated in the upper-level model, and the generation cost of natural gas fired generation units (NGFGUs) is calculated based on natural gas locational marginal prices (NG-LMPs). The market clearing process of natural gas system is modeled in the lower-level model. The bi-level model is then transferred into a mixed-integer second-order cone programming (MISOCP) problem. Simulation results demonstrate the effectiveness of the proposed conic OEF model. 展开更多
关键词 Optimal energy flow(OEF) bi-level model second-order cone programming(SOCP) integrated energy system
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