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Digital implementation and analysis of a high dynamic frequency tracking loop
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作者 Dong Shengbo Zhang Wentao +2 位作者 Zhang Xiaofeng Chang Xiaolan Gu Xuemai 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2007年第3期443-447,共5页
In the wireless guidance system, the signals that receiver received has obvious Doppler shift for the high dynamic characteristic of the carrier. A new solution of carrier frequency tracking loop with frequency modify... In the wireless guidance system, the signals that receiver received has obvious Doppler shift for the high dynamic characteristic of the carrier. A new solution of carrier frequency tracking loop with frequency modifying system is put forward. The characteristic of cross product auto frequency control and the second order loop filter in this loop are analyzed. The simulation shows that this loop can accomplish frequency tracking well in high dynamic circumstance. 展开更多
关键词 high dynamic frequency tracking cross product auto frequency control loop filter.
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A SCHEDULING SCHEME WITH DYNAMIC FREQUENCY CLOCKING AND MULTIPLE VOLTAGES FOR LOW POWER DESIGNS
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作者 Wen Dongxin Wang Ling Yang Xiaozong 《Journal of Electronics(China)》 2007年第4期572-576,共5页
In this letter, a scheduling scheme based on Dynamic Frequency Clocking (DFC) and multiple voltages is proposed for low power designs under the timing and the resource constraints. Unlike the conventional methods at h... In this letter, a scheduling scheme based on Dynamic Frequency Clocking (DFC) and multiple voltages is proposed for low power designs under the timing and the resource constraints. Unlike the conventional methods at high level synthesis where only voltages of nodes were considered, the scheme based on a gain function considers both voltage and frequency simultaneously to reduce energy consumption. Experiments with a number of DSP benchmarks show that the proposed scheme achieves an effective energy reduction. 展开更多
关键词 Scheduling scheme dynamic frequency Clocking (DFC) Multiple voltages High level synthesis
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Dynamic Frequency Support and DC Voltage Regulation Approach for VSC-MTDC Systems 被引量:2
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作者 Chongru Liu Haoyu Liu +1 位作者 Siwen Jiang Le Zheng 《CSEE Journal of Power and Energy Systems》 SCIE EI CSCD 2023年第2期645-658,共14页
When an additional frequency control is implemented in the voltage source converter-based multi-terminal high voltage direct current(VSC-MTDC)system,the DC grid is capable of responding to a frequency disturbance in t... When an additional frequency control is implemented in the voltage source converter-based multi-terminal high voltage direct current(VSC-MTDC)system,the DC grid is capable of responding to a frequency disturbance in the AC system.However,the original additional frequency control may cause the DC voltage to exceed the limit when providing power for a severe frequency disturbance,threatening the security of the DC system.A novel dynamic additional frequency control strategy for the VSC-MTDC system is developed based on the relationship between the DC voltage and the frequency droop coefficient.A dynamic frequency droop coefficient is designed to adaptively adjust the support power of the DC grid,balancing the frequency regulation of the disturbed AC system and the voltage stability of the DC grid.A DC voltage recovery method based on multi-converter cooperation is proposed to cope with the DC voltage deviation caused by the additional frequency control.Simulations validate the advantages and satisfactory performance of the proposed method during power disturbances with different severities and for the process of DC voltage recovery. 展开更多
关键词 Additional frequency control DC voltage recovery module dynamic frequency droop coefficient VSCMTDC
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Wind-farm and hydrogen-storage co-location system optimization for dynamic frequency response in the UK
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作者 Fulin Fan Shanay Skellern +1 位作者 David Campos-Gaona John Nwobu 《Clean Energy》 EI CSCD 2023年第1期157-173,共17页
The continuous development of hydrogen-electrolyser and fuel-cell technologies not only reduces their investment and operating costs but also improves their technical performance to meet fast-acting requirements of el... The continuous development of hydrogen-electrolyser and fuel-cell technologies not only reduces their investment and operating costs but also improves their technical performance to meet fast-acting requirements of electrical grid balancing services such as frequency-response services.In order to project the feasibility of co-locating a hydrogen-storage system with a wind farm for the dynamic regulation frequency-response provision in Great Britain,this paper develops a modelling framework to coordinate the wind export and frequency responses to the main grid and manage the interaction of the electrolyser,compressor,storage tank and fuel cell within the hydrogen-storage system by respecting the market mechanisms and the balance and conversion of power and hydrogen flows.Then the revenue of frequency-response service provision and a variety of costs induced by the hydrogen-storage system are translated into the net profit of the co-location system,which is maximized by optimizing the capacities of hydrogen-storage-system components,hydrogen-storage levels that guide the hydrogen restoration via operational baselines and the power interchange between a wind-farm and hydrogen-storage system,as well as the capacities tendered for low-and high-frequency dynamic regulation services.The developed modelling framework is tested based on a particular 432-MW offshore wind farm in Great Britain combined with the techno-economics of electrolysers and fuel cells projected for 2030 and 2050 scenarios.The optimized system configuration and operation are compared between different operating scenarios and discussed alongside the prospect of applying hydrogen-storage systems for frequency-response provision. 展开更多
关键词 dynamic regulation frequency response hydrogen-storage system techno-economic optimization UK perspective wind farm
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Dynamic frequency response from electric vehicles in the Great Britain power system 被引量:8
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作者 Jian MENG Yunfei MU +3 位作者 Jianzhong WU Hongjie JIA Qian DAI Xiaodan YU 《Journal of Modern Power Systems and Clean Energy》 SCIE EI 2015年第2期203-211,共9页
With the large penetration of renewable energy,fulfilling the balance between electricity demand and supply is a challenge to the modern power system.According to the UK government,the wind power penetration will reac... With the large penetration of renewable energy,fulfilling the balance between electricity demand and supply is a challenge to the modern power system.According to the UK government,the wind power penetration will reach 30%by the year 2020.The role of electric vehicles(EVs)contributing to frequency response was investigated.A dynamic frequency control strategy which considers the comfort level of vehicle owners was developed for EVs to regulate their power consumption according to the deviation of system frequency.A simulation model of a population of EVs equipped with such controlwas implemented inMatlab/Simulink platform.In this paper,a simplified Great Britain power system model is used to study the contribution of EVs to dynamic frequency control.The case study showed that using EVs as a demand response resource can greatly reduce the frequency deviations.And the rapid response from EVs can help reduce the operation cost of conventional generators. 展开更多
关键词 Electric vehicles(EVs) dynamic frequency response Vehicle to grid(V2G) State of charge(SOC)
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Parameter identification of nonlinear system via a dynamic frequency approach and its energy harvester application 被引量:2
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作者 Zhiwei Zhang Wei Wang Chen Wang 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2020年第3期606-617,共12页
A dynamic frequency-based parameter identification approach is applied for the nonlinear system with periodic responses.Starting from the energy equation,the presented method uses a dynamic frequency to precisely obta... A dynamic frequency-based parameter identification approach is applied for the nonlinear system with periodic responses.Starting from the energy equation,the presented method uses a dynamic frequency to precisely obtain the analytical limit cycle expression of nonlinear system and utilizes it as the mathematic foundation for parameter identification.Distinguished from the time-domain approaches,the strategy of using limit cycle to describe the system response is unaffected by the influence of phase change.The analytical expression is fitted with the value sets from phase coordinates measured in periodic oscillation of the nonlinear systems,and the unknown parameters are identified with the interior-reflective Newton method.Then the performance of this identification methodology is verified by an oscillator with nonlinear stiffness and damping.Besides,numerical simulations under noisy environment also verify the efficiency and robustness of the identification procedure.Finally,we apply this parameter identification method to the modeling of a large-amplitude energy harvester,to improve the accuracy of mechanical modeling.Not surprisingly,good agreement is achieved between the experimental data and identified parameters.It also verifies that the proposed approach is less time-consuming and more accuracy in identification procedure. 展开更多
关键词 Parameter identification dynamic frequency Nonlinear system Energy harvester
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A 220 GHz dynamic frequency divider in 0.5μm InP DHBT technology 被引量:1
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作者 Wei Cheng Youtao Zhang +4 位作者 Yuan Wang Bin Niu Haiyan Lu Long Chang Junling Xie 《Journal of Semiconductors》 EI CAS CSCD 2017年第5期82-87,共6页
A high performance 3 inch 0.5 μm InP DHBT technology with three interconnecting layers has been developed.The epitaxial layer structure and geometry parameters of the device were carefully studied to get the required... A high performance 3 inch 0.5 μm InP DHBT technology with three interconnecting layers has been developed.The epitaxial layer structure and geometry parameters of the device were carefully studied to get the required performances.The 0.5 × 5 μm^2 InP DHBTs demonstrated ft = 350 GHz,f(max) = 532 GHz and BV(CEO) = 4.8 V,which were modeled using Agilent-IIBT large signal model.As a benchmark circuit,a dynamic frequency divider operating from 110 to 220 GHz has been designed,fabricated and measured with this technology.The ultra-high-speed 0.5 μm InP DHBT technology offers a combination of ultra-high-speed and high breakdown voltage,which makes it an ideal candidate for next generation 100 GHz+ mixed signal integrated circuits. 展开更多
关键词 INP heterojunction bipolar transistor dynamic frequency divider
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A 75 GHz regenerative dynamic frequency divider with active transformer using InGaAs/InP HBT technology
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作者 Xi Wang Bichan Zhang +4 位作者 Hua Zhao Yongbo Su Asif Muhammad Dong Guo Zhi Jin 《Journal of Semiconductors》 EI CAS CSCD 2017年第8期55-60,共6页
This letter presents a high speed 2 : 1 regenerative dynamic frequency divider with an active transformer fabricated in 0.7μm InP DHBT technology with fTof 165 GHz and fmax of 230 GHz. The circuit includes a two-sta... This letter presents a high speed 2 : 1 regenerative dynamic frequency divider with an active transformer fabricated in 0.7μm InP DHBT technology with fTof 165 GHz and fmax of 230 GHz. The circuit includes a two-stage active transtbrmer, input buffer, divider core and output buffer. The core part of the frequency divider is composed of a double-balanced active mixer (widely known as the Gilbert cell) and a regenerative feedback loop. The active transformer with two stages can contribute to positive gain and greatly improve phase difference. Instead of the passive transformer, the active one occupies a much smaller chip area. The area of the chip is only 469 × 414μm2 and it entirely consumes a total DC power of only 94.6 mW from a single -4.8 V DC supply. The measured results present that the divider achieves an operating frequency bandwidth from 75 to 80 GHz, and performs a -23 dBm maximunl output power at 37.5 GHz with a 0 dBm input signal of 75 GHz. 展开更多
关键词 INP hetero-junction bipolar transistors dynamic frequency divider
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Dynamic corner frequency in source spectral model for stochastic synthesis of ground motion 被引量:3
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作者 Xiaodan Sun Xiaxin Tao +1 位作者 Guoxin Wang Taojun Liu 《Earthquake Science》 CSCD 2009年第3期271-276,共6页
The static comer frequency and dynamic comer frequency in stochastic synthesis of ground motion from fi- nite-fault modeling are introduced, and conceptual disadvantages of the two are discussed in this paper. Further... The static comer frequency and dynamic comer frequency in stochastic synthesis of ground motion from fi- nite-fault modeling are introduced, and conceptual disadvantages of the two are discussed in this paper. Furthermore, the non-uniform radiation of seismic wave on the fault plane, as well as the trend of the larger rupture area, the lower comer frequency, can be described by the source spectral model developed by the authors. A new dynamic comer frequency can be developed directly from the model. The dependence of ground motion on the size of subfault can be eliminated if this source spectral model is adopted in the synthesis. Finally, the approach presented is validated from the comparison between the synthesized and observed ground motions at six rock stations during the Northridge earthquake in 1994. 展开更多
关键词 source spectral model dynamic corner frequency stochastic synthesis finite-fault
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Dynamic Resonant Frequency Bands of Suspension System of Vehicles with Varying Speeds Based on Time⁃Frequency Spectrum
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作者 ZHANG Buyun ZENG Falin TAN Chin-An 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI CSCD 2021年第2期333-343,共11页
The dynamic responses of suspension system of a vehicle travelling at varying speeds are generally nonstationary random processes,and the non-stationary random analysis has become an important and complex problem in v... The dynamic responses of suspension system of a vehicle travelling at varying speeds are generally nonstationary random processes,and the non-stationary random analysis has become an important and complex problem in vehicle ride dynamics in the past few years.This paper proposes a new concept,called dynamic frequency domain(DFD),based on the fact that the human body holds different sensitivities to vibrations at different frequencies,and applies this concept to the dynamic assessment on non-stationary vehicles.The study mainly includes two parts,the first is the input numerical calculation of the front and the rear wheels,and the second is the dynamical response analysis of suspension system subjected to non-stationary random excitations.Precise time integration method is used to obtain the vertical acceleration of suspension barycenter and the pitching angular acceleration,both root mean square(RMS)values of which are illustrated in different accelerating cases.The results show that RMS values of non-stationary random excitations are functions of time and increase as the speed increases at the same time.The DFD of vertical acceleration is finally analyzed using time-frequency analysis technique,and the conclusion is obviously that the DFD has a trend to the low frequency region,which would be significant reference for active suspension design under complex driving conditions. 展开更多
关键词 non-stationary random process suspension system vehicle modeling dynamical frequency domain(DFD) ride comfort
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DESIGN AND DYNAMICAL SIMULATION TO NEW VIBRATING CENTRIFUGE WITH WIDER FREQUENCY RANGE
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作者 ZHAO Yucheng AN Zengyong ZHANG Kemeng XU Qingyu 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2006年第1期89-92,共4页
A new type of vibrating centrifuge with wider frequency range is designed instead of the traditional one with a single frequency to improve the vibrating effect. With the aid of a new dynamical model, one simulation w... A new type of vibrating centrifuge with wider frequency range is designed instead of the traditional one with a single frequency to improve the vibrating effect. With the aid of a new dynamical model, one simulation without considering the visco-elasticity of basis is presented, then the dynamical responses of time and frequency in different scheme are given. The computational results show that the improved vibrating centrifuge possesses a remarkably widened frequency range. 展开更多
关键词 Wider frequency Vibrating centrifuge dynamics
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Fluke 9640A RF Reference Source combines level precision,dynamic range,frequency capability in a single instrument
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作者 Stream lines workload enables automationof calibration procedures with MET/CAL(Plus Calibration Measurement Software 《国外电子测量技术》 2007年第1期81-81,共1页
关键词 Source RF Fluke 9640A RF Reference Source combines level precision dynamic range frequency capability in a single instrument
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Dynamic Stability Analysis of Caisson Breakwater in Lifetime Considering the Annual Frequency of Severe Storm
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作者 王禹迟 王元战 洪宁宁 《China Ocean Engineering》 SCIE EI CSCD 2015年第2期287-300,共14页
In the dynamic stability analysis of a caisson breakwater, most of current studies pay attention to the motion characteristics of caisson breakwaters under a single periodical breaking wave excitation. And in the life... In the dynamic stability analysis of a caisson breakwater, most of current studies pay attention to the motion characteristics of caisson breakwaters under a single periodical breaking wave excitation. And in the lifetime stability analysis of caisson breakwater, it is assumed that the caisson breakwater suffers storm wave excitation once annually in the design lifetime. However, the number of annual severe storm occurrence is a random variable. In this paper, a series of random waves are generated by the Wen Sheng-chang wave spectrum, and the histories of successive and long-term random wave forces are built up by using the improved Goda wave force model. It is assumed that the number of annual severe storm occurrence is in the Poisson distribution over the 50-year design lifetime, and the history of random wave excitation is generated for each storm by the wave spectrum. The response histories of the caisson breakwater to the random waves over 50-year design lifetime are calculated and taken as a set of samples. On the basis of the Monte Carlo simulation technique, a large number of samples can be obtained, and the probability assessment of the safety of the breakwater during the complete design lifetime is obtained by statistical analysis of a large number of samples. Finally, the procedure of probability assessment of the breakwater safety is illustrated by an example. 展开更多
关键词 caisson breakwater dynamic stability lifetime wave spectrum annual storm frequency
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Frequency Switches at Transition Temperature in Voltage-Gated Ion Channel Dynamics of Neural Oscillators
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作者 Yasuomi D.Sato 《Chinese Physics Letters》 SCIE CAS CSCD 2018年第5期152-155,共4页
Understanding of the mechanisms of neural phase transitions is crucial for clarifying cognitive processes in the brain. We investigate a neural oscillator that undergoes different bifurcation transitions from the big ... Understanding of the mechanisms of neural phase transitions is crucial for clarifying cognitive processes in the brain. We investigate a neural oscillator that undergoes different bifurcation transitions from the big saddle homoclinic orbit type to the saddle node on an invariant circle type, and the saddle node on an invariant circle type to the small saddle homoclinic orbit type. The bifurcation transitions are accompanied by an increase in thermodynamic temperature that affects the voltage-gated ion channel in the neural oscillator. We show that nonlinear and thermodynamical mechanisms are responsible for different switches of the frequency in the neural oscillator. We report a dynamical role of the phase response curve in switches of the frequency, in terms of slopes of frequency-temperature curve at each bifurcation transition. Adopting the transition state theory of voltagegated ion channel dynamics, we confirm that switches of the frequency occur in the first-order phase transition temperature states and exhibit different features of their potential energy derivatives in the ion channel. Each bifurcation transition also creates a discontinuity in the Arrhenius plot used to compute the time constant of the ion channel. 展开更多
关键词 frequency Switches at Transition Temperature in Voltage-Gated Ion Channel dynamics of Neural Oscillators
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A modified stochastic finite-fault method for estimating strong ground motion:Validation and application
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作者 Xinjuan He Hua Pan 《Earthquake Science》 2024年第1期36-50,共15页
We developed a modified stochastic finite-fault method for estimating strong ground motions.An adjustment to the dynamic corner frequency was introduced,which accounted for the effect of the location of the subfault r... We developed a modified stochastic finite-fault method for estimating strong ground motions.An adjustment to the dynamic corner frequency was introduced,which accounted for the effect of the location of the subfault relative to the hypocenter and rupture propagation direction,to account for the influence of the rupture propagation direction on the subfault dynamic corner frequency.By comparing the peak ground acceleration(PGA),pseudo-absolute response spectra acceleration(PSA,damping ratio of 5%),and duration,the results of the modified and existing methods were compared,demonstrating that our proposed adjustment to the dynamic corner frequency can accurately reflect the rupture directivity effect.We applied our modified method to simulate near-field strong motions within 150 km of the 2008 MW7.9 Wenchuan earthquake rupture.Our modified method performed well over a broad period range,particularly at 0.04-4 s.The total deviations of the stochastic finite-fault method(EXSIM)and the modified EXSIM were 0.1676 and 0.1494,respectively.The modified method can effectively account for the influence of the rupture propagation direction and provide more realistic ground motion estimations for earthquake disaster mitigation. 展开更多
关键词 stochastic finite-fault method dynamic corner frequency Wenchuan earthquake rupture propagation direction
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Numerical simulation research on response characteristics of surrounding rock for deep super-large section chamber under dynamic and static combined loading condition 被引量:13
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作者 FAN De-yuan LIU Xue-sheng +3 位作者 TAN Yun-liang SONG Shi-lin NING Jian-guo MA Qing 《Journal of Central South University》 SCIE EI CAS CSCD 2020年第12期3544-3566,共23页
The stability control of surrounding rock for large or super-large section chamber is a difficult technical problem in deep mining condition.Based on the in-site geological conditions of Longgu coal mine,this paper us... The stability control of surrounding rock for large or super-large section chamber is a difficult technical problem in deep mining condition.Based on the in-site geological conditions of Longgu coal mine,this paper used the dynamic module of FLAC3D to study the response characteristics of deep super-large section chamber under dynamic and static combined loading condition.Results showed that under the static loading condition,the maximum vertical stress,deformation and failure range are large,where the stress concentration coefficient is 1.64.The maximum roof-to-floor and two-sides deformations are 54.6 mm and 53.1 mm,respectively.Then,under the dynamic and static combined loading condition:(1)The influence of dynamic load frequency on the two-sides is more obvious;(2)The dynamic load amplitude has the greatest influence on the stress concentration degree,and the plastic failure tends to develop to the deeper;(3)With the dynamic load source distance increase,the response of surrounding rock is gradually attenuated.On this basis,empirical equations for each dynamic load conditions were obtained by using regression analysis method,and all correlation coefficients are greater than 0.99.This research provided reference for the supporting design of deep super-large section chamber under same or similar conditions. 展开更多
关键词 deep mining super-larger section chamber static load dynamic load frequency dynamic load amplitude dynamic load source distance
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Analysis and compensation of low frequency characteristics of sensors for vibration testing 被引量:1
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作者 ZHAI Yu-peng ZHANG Zhi-jie ZHANG Hao 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2019年第2期176-181,共6页
In view of the influence and harm of low frequency vibration environment on the structure of spaceflight products,a low frequency dynamic study method for piezoelectric sensor based on the dynamic system of sinusoidal... In view of the influence and harm of low frequency vibration environment on the structure of spaceflight products,a low frequency dynamic study method for piezoelectric sensor based on the dynamic system of sinusoidal pressure is proposed.This method uses a sinusoidal pressure dynamic system with two-way dual channel import and export synchronization technology to study the low frequency characteristics of a piezoelectric sensor of PCB company,and its lower cut-off frequency is 0.26 Hz.It is also studied that when the frequency of the measured vibration or shock signal is 1-200 kHz,the error range of signal positive pressure action time is 4.87%-0.03%.The dynamic compensation for the low frequency of the vibration sensor is carried out,and the compensation effect is good. 展开更多
关键词 low frequency vibration piezoelectric sensor lower cut-off frequency sinusoidal pressure dynamic system low frequency dynamic compensation
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Study on conveyor natural frequency and time intervalfor switching off resistances 被引量:3
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作者 李光布 杨汝清 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2004年第6期685-689,共5页
A conveyor belt driven by wound rotor motors produces dynamic tension, velocity and accelerationduring starting. The terrible situation (such as resonance) in dynamic analysis and design is that system naturalfrequenc... A conveyor belt driven by wound rotor motors produces dynamic tension, velocity and accelerationduring starting. The terrible situation (such as resonance) in dynamic analysis and design is that system naturalfrequencies are equal to those for switching off electric resistances. This paper analyzes and determines systemnatural frequencies based on a modeling method of receptances with the analysis of sub-systems model and of theprinciple of their addition and conveyor loop closure. It also puts forward to calculate the time interval for switching off electric resistances. The starting of one conveyor is simulated by lumped-mass-spring-model software tofurther illustrate the influence of time interval for switching off electric resistances on conveyor dynamic behavior. Two methods are also compared. The receptance model is proved to be an excellent alternative. 展开更多
关键词 natural frequency receptance model switching-off time interval conveyor dynamic behavior
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ANALYSIS AND MEASUREMENT OF LARGE DYNAMIC RANGE RF SWITCH INTER-MODULATION
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作者 Han Zhouan 《Journal of Electronics(China)》 2008年第3期422-427,共6页
Radio Frequency (RF) switch circuit is the basic part of microwave devices and systems. The non-linearity distortion figure is necessary in the field of large dynamic range of signal. This letter analyzes the basic sw... Radio Frequency (RF) switch circuit is the basic part of microwave devices and systems. The non-linearity distortion figure is necessary in the field of large dynamic range of signal. This letter analyzes the basic switch circuit and its inter-modulation, and studies in detail the measurement methods and systems of RF switch intercept point. It has provided cascaded simulation testing methods, which can accurately measure the PF switch, of which the second or third order intercept point value is above 75dB and 60dB, respectively. As the testing results are consistent with the theoretical analyses, it proves that the validity of the method satisfies the requirements of large scaled linearity measurement in engineering. 展开更多
关键词 Large dynamic range Radio frequency (RF) switch Intercept point MEASUREMENT
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Improving Dynamic Stability of Yunnan Provincial and South China Power System by PSS
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作者 薛武 李文云 +1 位作者 曹昆南 赵云 《Electricity》 2001年第2期25-30,共6页
For solving the dynamic instability problem of Yunnan Provincial Power System (YNPS) and the South China Interconnected Power System (SCIPS), Lubuge Hydropower Station was chosen to install Power System Stabilizer (PS... For solving the dynamic instability problem of Yunnan Provincial Power System (YNPS) and the South China Interconnected Power System (SCIPS), Lubuge Hydropower Station was chosen to install Power System Stabilizer (PSS). This paper introduces the principles and methods of parameter selection for PSS, in addition to field test. The test results show that the PSS installed can significantly improve the system damping. 展开更多
关键词 dynamic stability power system stabilizer (PSS) low frequency oscillation
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