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An Improved Feedforward Control Strategy to Promote the Rapidity of PMSM Servo System and Reduce Overshoot Oscillation
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作者 Wentao Zhang Yan Zhang +1 位作者 Yongxiang Xu Jibin Zou 《CES Transactions on Electrical Machines and Systems》 2025年第1期100-109,共10页
Under the condition of large inertia load,the stability of the servo system is more sensitive to the response speed and more likely to produce overshoot oscillations.In order to realize the requirements of high-precis... Under the condition of large inertia load,the stability of the servo system is more sensitive to the response speed and more likely to produce overshoot oscillations.In order to realize the requirements of high-precision and fast-response control of permanent magnet synchronous motor(PMSM)under large inertia load,an improved feedforward control strategy based on position impulse compensation and PD iterative algorithm is proposed to improve the response speed of the PMSM servo system and reduce the overshoot oscillation.This paper analyzes the mathematical models of the speed servo system and position servo system of the PMSM,calculates position overshoot impulse of the PMSM servo system,and improves the traditional feedforward control strategy to reversely compensate when the position is about to overshoot.Moreover,in order to further reduce the position overshoot,the PD iterative control algorithm is superimposed without increasing the complexity of the algorithm.The input signal is continuously corrected through multiple runs to achieve a smoother response control.The effectiveness of the proposed feedforward control strategy is verified by simulation and experiment. 展开更多
关键词 Feedforward control overshoot impulse Permanent magnet synchronous motor PD iterative control
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ANALOG PREDISTORTION LINEARIZER ON REDUCING CORRECTED AMPLITUDE OVERSHOOT 被引量:2
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作者 Hu Boxiong Wang Gang +1 位作者 Hao Baoliang Tang Kangsong 《Journal of Electronics(China)》 2014年第6期597-602,共6页
This paper presents a dual-nonlinear branch linearizer for reducing the corrected amplitude overshoot of conventional single nonlinear branch linearizer. Theoretical analysis is carried out, the analysis is verified b... This paper presents a dual-nonlinear branch linearizer for reducing the corrected amplitude overshoot of conventional single nonlinear branch linearizer. Theoretical analysis is carried out, the analysis is verified by simulation, and a prototype of Ka band 25.28~26.08 GHz dual nonlinear branch linearizer is achieved. It indicates that the corrected amplitude overshoot is less than 0.5 dB, the C/I3 improvement is more than 10 dB related to a single carrier IBO 9 dB, when it is linked and tested for 50 W spacebrone Travelling Wave Tube Amplifier(TWTA). 展开更多
关键词 Predistortion linearizer Linear branch Nonlinear branch Amplitude overshoot
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Analysis of Energy Overshoot of High Frequency Waves with Wavelet Transform 被引量:1
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作者 文凡 《China Ocean Engineering》 SCIE EI 2000年第3期371-374,共4页
A study is made on the overshoot phenomena in wind-generated waves. The surface displacements of time-growing. waves are measured at four fetches in a wind wave channel. The evolution of high frequency waves is displa... A study is made on the overshoot phenomena in wind-generated waves. The surface displacements of time-growing. waves are measured at four fetches in a wind wave channel. The evolution of high frequency waves is displayed with wavelet transform. The results are compared with Sutherland's. It is found that high frequency wave components experience much stronger energy overshoot in the evolution. The energy of high frequency waves decreases greatly after overshoot. 展开更多
关键词 wind waves overshoot wavelet transform
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Erratum to“A note on overshoot estimation in pole placements” 被引量:2
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作者 Daizhan CHENG Lei GUO +1 位作者 Yuandan LIN Yuan WANG 《控制理论与应用(英文版)》 EI 2005年第3期258-258,共1页
There is a mild flaw in the statement of Proposition 2.1 in the above paper (cf. [1] ). We restate it as follows.
关键词 A note on overshoot estimation in pole placements Erratum to
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Payne Effect and Weak Overshoot in Rubber Nanocomposites 被引量:1
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作者 Zhi-Yun Li Yi-Hu Song Qiang Zheng 《Chinese Journal of Polymer Science》 SCIE EI CAS CSCD 2022年第1期85-92,共8页
Payne effect and its associated weak overshoot are of importance for understanding and regulating the softening of rubber nanocomposites under large amplitude oscillations.Herein,Payne effect in diverse filled vulcani... Payne effect and its associated weak overshoot are of importance for understanding and regulating the softening of rubber nanocomposites under large amplitude oscillations.Herein,Payne effect in diverse filled vulcanizates is investigated for generalizing the common characteristics.Master curves of strain amplitude dependent storage modulus are created with respect to microscopic strain amplitude of the matrix,revealing a matrix-dominated elastic nonlinearity being independent of type and dispersity of filler,crosslinking density and sol fraction of matrix and filler-rubber interfacial interactions.However,carbonaceous fillers with higher affinity to the rubber matrices yield lower strain amplification and higher overshoot behavior in comparison with siliceous silica.The investigation would be illuminating for preparing rubber nanocomposites with optimized reinforcement and softening performances. 展开更多
关键词 Vulcanizate nanocomposites Payne effect Weak overshoot
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Causes and solutions of overshoot and undershoot and end swing in Hilbert-Huang transform
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作者 龙思胜 张铁宝 龙锋 《Acta Seismologica Sinica(English Edition)》 CSCD 2005年第5期108-116,共9页
There are overshoot and undershoot phenomenon and end swing phenomenon in the cubic spline fitting in Hil- bert-Huang transform. The two problems influence data quality of the empirical mode decomposition seriously. T... There are overshoot and undershoot phenomenon and end swing phenomenon in the cubic spline fitting in Hil- bert-Huang transform. The two problems influence data quality of the empirical mode decomposition seriously. The cubic spline fitting has been analysed, and the causes of producing the overshoot and undershoot phenomenon and the end swing phenomenon have been pointed out in this paper. Two new methods of cubic spline fitting and sine spline fitting and the new technique of handling the end points of the original data curve can completely re- move the overshoot and undershoot phenomenon and the end swing phenomenon on the condition of unchanging original data, and have the advantages of the continuous fitting functions and its continuous one order derivative, the simple and convenient calculations, the small calculation amount and the easy work on it. 展开更多
关键词 Hilbert-Huang transform cubic spline fitting sine spline fitting overshoot and undershoot end swings
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Velocity overshoot of start-up flow for a Maxwell fluid in a porous half-space
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作者 谭文长 《Chinese Physics B》 SCIE EI CAS CSCD 2006年第11期2644-2650,共7页
Stokes' first problem has been investigated for a Maxwell fluid in a porous half-space for gaining insight into the effect of viscoelasticity on the start-up flow in a porous medium. An exact solution was obtained by... Stokes' first problem has been investigated for a Maxwell fluid in a porous half-space for gaining insight into the effect of viscoelasticity on the start-up flow in a porous medium. An exact solution was obtained by using the Fourier sine transform. It was found that at large values of the relaxation time the velocity overshoot occurs obviously and the system exhibits viscoelastic behaviours. On the other hand, for short relaxation time the velocity overshoot disappears and the system exhibits viscous behaviours. A critical value of the relaxation time was obtained for the emergence of the velocity overshoot. Furthermore, it was found that the velocity overshoot is caused by both the viscoelasticity of the Maxwell fluid and the Darcy resistance resulting from the structure of the micropore in the porous medium. 展开更多
关键词 Maxwell fluid porous media velocity overshoot
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A further note on overshoot estimation in pole placements
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作者 Zhijian JI Xiaoxia GUO Shixu XU 《控制理论与应用(英文版)》 EI 2007年第1期57-59,共3页
Recently, it is proved in the literature that for a given controllable pair (A, B) with A ∈R^n×n, B ∈R^n×m, and any λ ≥ 1, a gain matrix K can be designed so that ‖e^(A+BK)t‖ ≤Mλ^Le^-λt, where ... Recently, it is proved in the literature that for a given controllable pair (A, B) with A ∈R^n×n, B ∈R^n×m, and any λ ≥ 1, a gain matrix K can be designed so that ‖e^(A+BK)t‖ ≤Mλ^Le^-λt, where M and L are constants independent of λ. Here, we show that M and L can be chosen much smaller than that proposed above. As a consequence, the estimation on overshoot of a transition matrix can be bounded more precisely. This can be regarded as a complement to the existing result. 展开更多
关键词 Linear system Transition matrix overshoot
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Non-overshooting and Non-undershooting Cubic Spline Interpolation for Empirical Mode Decomposition
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作者 袁晔 梅文博 +1 位作者 吴嗣亮 袁起 《Journal of Beijing Institute of Technology》 EI CAS 2008年第3期316-321,共6页
To suppress the overshoots and undershoots in the envelope fitting for empirical mode decomposition (EMD), an alternative cubic spline interpolation method without overshooting and undershooting is proposed. On the ... To suppress the overshoots and undershoots in the envelope fitting for empirical mode decomposition (EMD), an alternative cubic spline interpolation method without overshooting and undershooting is proposed. On the basis of the derived slope constraints of knots of a non-overshooting and non-undershooting cubic interpolant, together with "not-a-knot" conditions the cubic spline interpolants are constructed by replacing the requirement for equal second order derivatives at every knot with Brodlie' s derivative formula. Analysis and simulation experiments show that this approach can effectively avoid generating new extrema, shifting or exaggerating the existing ones in a signal, and thus significantly improve the decomposition performance of EMD. 展开更多
关键词 overshooting and undershooting cubic spline interpolation empirical mode decomposition
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Characteristics of convection and overshooting in RGB and AGB stars
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作者 Xiang-Jun Lai Yan Li 《Research in Astronomy and Astrophysics》 SCIE CAS CSCD 2011年第10期1143-1157,共15页
Based on the turbulent convection model (TCM) of Li & Yang, we have studied the characteristics of turbulent convection in the envelopes of 2 and 5M⊙ stars at the red giant branch and asymptotic giant branch phase... Based on the turbulent convection model (TCM) of Li & Yang, we have studied the characteristics of turbulent convection in the envelopes of 2 and 5M⊙ stars at the red giant branch and asymptotic giant branch phases. The TCM has been successfully applied over the entire convective envelopes, including the convective unstable zone and the overshooting regions. We find that the convective motions become progressively stronger when the stellar models are located farther up along the Hayashi line. In the convective unstable zone, we find that the turbulent correlations are proportional to functions of a common factor (V - V^d)T, which explains similar distributions in those correlations. For the TCM we find that if the obtained stellar temperature structure is close to that of the mixing length theory (MLT), the convective motion will have a much larger velocity and thus be more violent. However, if the turbulent velocity is adjusted to be close to that of the MLT, the superadiabatic convection zone would be much more extended inward, which would lead to a lower effective temperature of the stellar model. For the overshooting distance, we find that the e-folding lengths of the turbulent kinetic energy k in both the top and bottom overshooting regions decrease as the stellar model is progressively located farther up along the Hayashi line, but both the extents of the decrease are not obvious. The overshooting distances of the turbulent correlation /u'rT" are almost the same for the different stellar models with the same set of TCM parameters. For the decay modes of the kinetic energy k, we find that they are very similar for different stellar models based on the same set of TCM parameters, and there is a nearly linear relationship between lg k and In P for different stellar models. When Cs or α increases while the other parameters are fixed, the obtained linearly decaying distance will become longer. 展开更多
关键词 STARS RGB and AGB -- convection of stars -- turbulent convection model convective overshooting
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Overshoot phenomena:Observation and simulation
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作者 Ting Feng MoRan Liu +2 位作者 ShiMin He Xiang Wang Chen Zhou 《Earth and Planetary Physics》 EI CAS CSCD 2024年第2期391-399,共9页
High-power O-mode radio waves can excite artificial instabilities in the F region,according to experiments conducted at the European Incoherent Scatter Science Association(EISCAT)heating facility.The main instabilitie... High-power O-mode radio waves can excite artificial instabilities in the F region,according to experiments conducted at the European Incoherent Scatter Science Association(EISCAT)heating facility.The main instabilities include the parametric decay instability(PDI),oscillating two-stream instability(OTSI),and thermal parametric instability(TPI).The PDI and OTSI not only compete with each other,but also compete with the TPI,leading to a two-stage overshoot phenomenon:a miniovershoot occurs on a millisecond time scale after pump-on,followed by the main overshoot.We gain insight into the miniovershoot via a generalized Zakharov model,whereas the main overshoot can be observed as an enhanced plasma line overshoot phenomenon in incoherent scatter radar spectra.We can also observe that the zero-frequency ion line exists only in the initial heating period after a cold start and that the upshifted and downshifted ion lines behave irregularly in the spectra.The simulation results show that competition between the PDI and OTSI leads to an initial peak,which we named the pre-miniovershoot.The following processes,namely ion density caviton generation,and collapse and cascade in the development of the PDI,contribute to the miniovershoot phenomenon. 展开更多
关键词 overshoot parametric decay instability oscillating two-stream instability COMPETITION
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Spatio-temporal measurements of overshoot phenomenon in pulsed inductively coupled discharge
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作者 Xiang-Yun Lv Fei Gao +1 位作者 Quan-Zhi Zhang You-Nian Wang 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第4期369-375,共7页
Pulse inductively coupled plasma has been widely used in the microelectronics industry,but the existence of overshoot phenomenon may affect the uniformity of plasma and generate high-energy ions,which could damage the... Pulse inductively coupled plasma has been widely used in the microelectronics industry,but the existence of overshoot phenomenon may affect the uniformity of plasma and generate high-energy ions,which could damage the chip.The overshoot phenomenon at various spatial locations in pulsed inductively coupled Ar and Ar/CF_(4) discharges is studied in this work.The electron density,effective electron temperature,relative light intensity,and electron energy probability function(EEPF) are measured by using a time-resolved Langmuir probe and an optical probe,as a function of axial and radial locations.At the initial stage of pulse,both electron density and relative light intensity exhibit overshoot phenomenon,i.e.,they first increase to a peak value and then decrease to a convergent value.The overshoot phenomenon gradually decays,when the probe moves away from the coils.Meanwhile,a delay appears in the variation of the electron densities,and the effective electron temperature decreases,which may be related to the reduced strength of electric field at a distance,and the consequent fewer high-energy electrons,inducing limited ionization and excitation rate.The overshoot phenomenon gradually disappears and the electron density decreases,when the probe moves away from reactor centre.In Ar/CF_(4) discharge,the overshoot phenomenon of electron density is weaker than that in the Ar discharge,and the plasma reaches a steady density within a much shorter time,which is probably due to the more ionization channels and lower ionization thresholds in the Ar/CF_(4) plasma. 展开更多
关键词 pulse inductively coupled plasma overshoot spatial distribution
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Influence of Velocity Overshoot Effect on High Frequency Perform- ance of AlGaAs / GaAs HBT's
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作者 Xu Jun, Liu Youbao and Huang Chang 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1992年第4期14-15,18-2+6,共5页
The semiclassical transport equations are used to study the high frequency performance of AlGaAs / GaAs HBTs. Electron velocity overshoot effect and its influence on the cut off frequency characteristics of AlGaAs / G... The semiclassical transport equations are used to study the high frequency performance of AlGaAs / GaAs HBTs. Electron velocity overshoot effect and its influence on the cut off frequency characteristics of AlGaAs / GaAs HBTs with different collector design parameters are analyzed and discussed. 展开更多
关键词 HBT Influence of Velocity overshoot Effect on High Frequency Perform high ance of AlGaAs
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Favorable Environments for the Occurrence of Overshooting Tops in Tropical Cyclones
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作者 Liangxiao SUN Xiaoyong ZHUGE Yuan WANG 《Advances in Atmospheric Sciences》 SCIE CAS CSCD 2017年第4期532-544,共13页
Based on Multifunctional Transport Satellite data and the infrared window-texture detection algorithm, the level of overshooting top(OT) activity within a tropical cyclone(TC), which is defined as the hourly mean ... Based on Multifunctional Transport Satellite data and the infrared window-texture detection algorithm, the level of overshooting top(OT) activity within a tropical cyclone(TC), which is defined as the hourly mean number of OT occurrence,was statistically investigated in the western North Pacific basin for the period 2005–12. Based on the level of OT activity,the samples were divided into OT and non-OT cases or high-activity-OT(HA-OT) and low-activity-OT(LA-OT) cases. The differences in large-scale environmental variables between OT(HA-OT) and non-OT(LA-OT) cases were examined 12 hours prior to the OT occurrence. Statistical analysis showed that environmental differences did exist between the OT and non-OT cases. The OTs were more skewed towards the early stage of the TC life cycle, and mostly concentrated in low latitudes.Meanwhile, a sufficiently deep warm-water layer, large temperature difference between the upper- and lower-level troposphere, large humidity at the middle and upper levels, and large atmospheric instability, were favorable for OT occurrence.The differences in large-scale environmental characteristics between HA-OTs and LA-OTs were not as significant as those between OTs and non-OTs, but the HA-OT samples tended to occur when the vertical shear was weak and the TC intensity was low. Finally, statistical models were designed to predict the OT and HA-OT. When at least three OT(HA-OT) predictor thresholds were satisfied, the Peirce skill score reached a maximum value of 0.49(0.30). 展开更多
关键词 overshooting top geostationary satellite tropical cyclone western North Pacific
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Does overshoot in leaf development of ponderosa pine in wet years leads to bark beetle outbreaks on fine-textured soils in drier years?
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作者 Wendy Peterman Richard H Waring 《Forest Ecosystems》 SCIE CAS 2014年第4期214-226,共13页
Background: Frequent outbreaks of insects and diseases have been recorded in the native forests of western North America during the last few decades, but the distribution of these outbreaks has been far from uniform.... Background: Frequent outbreaks of insects and diseases have been recorded in the native forests of western North America during the last few decades, but the distribution of these outbreaks has been far from uniform. In some cases, recent climatic variations may explain some of this spatial variation along with the presence of expansive forests composed of dense, older trees. Forest managers and policy makers would benefit if areas especially prone to disturbance could be recognized so that mitigating actions could be taken. Methods: We use two ponderosa pine-dominated sites in western Montana, U.S.A. to apply a modeling approach that couples information acquired via remote sensing, soil surveys, and local weather stations to assess where bark beetle outbreaks might first occur and why. Although there was a general downward trend in precipitation for both sites over the period between 1998 and 2010 (slope =-1.3, R2 = 0.08), interannual variability was high. Some years showed large increases followed by sharp decreases. Both sites had similar topography and fire histories, but bark beetle activity occurred earlier (circa 2000 to 2001) and more severely on one site than on the other. The initial canopy density of the two sites was also similar, with leaf area indices ranging between 1.7-2.0 m2. m-2. We wondered if the difference in bark beetle activity was related to soils that were higher in clay content at site I than at site II. To assess this possibility, we applied a process-based stand growth model (3-PG) to analyze the data and evaluate the hypotheses. Results: We found that when wet years were followed by drier years, the simulated annual wood production per unit of leaf area, a measure of tree vigor, dropped below a critical threshold on site I but not on site II. Conclusion: We concluded that the difference in vulnerability of the two stands to beetle outbreaks can be explained largely by differences in gross photosynthesis attributed to the fact that an equivalent amount of stored water in the rooting zone (100 mm) is extracted less efficiently from fine-textured soils than from coarse-textured ones. 展开更多
关键词 Does overshoot in leaf development of ponderosa pine in wet years leads to bark beetle outbreaks on fine-textured soils in drier years soil
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带有定量超调约束的吸引预设性能控制方法
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作者 张天琦 李新凯 +1 位作者 孟月 张宏立 《哈尔滨工业大学学报》 北大核心 2026年第1期65-76,共12页
为完善非线性系统预设性能跟踪控制过程中约束冲突问题的处理机制,并对系统施加更精细的约束,本文提出了一种基于新型可变障碍函数的性能约束控制方法。首先,对非线性系统约束控制中因初始状态不确定和期望轨迹突变导致的约束冲突问题... 为完善非线性系统预设性能跟踪控制过程中约束冲突问题的处理机制,并对系统施加更精细的约束,本文提出了一种基于新型可变障碍函数的性能约束控制方法。首先,对非线性系统约束控制中因初始状态不确定和期望轨迹突变导致的约束冲突问题进行分析,提出了一种新的非对称可变障碍函数构型。该构型为系统引入了吸引函数,能够统一处理约束冲突过程中的约束解除和约束恢复两个阶段,并能够丰富预设性能边界的设置形式,使得约束控制策略更加简单和完善。其次,基于设计的新型非对称可变障碍函数构型,设计一组新型L型预设性能边界函数。该组性能边界函数本身具有约束力,能够对系统输出的超调量施加定量约束,从而更精细地约束系统的行为。最后,对系统误差的有界性和前向不变性进行了证明,并基于Lyapunov函数稳定性理论证明所有闭环信号的一致最终有界性。选取四旋翼无人机系统进行数值仿真和实验对比,数值仿真和实验结果验证了所提方案的有效性和优越性。本文设计的吸引预设性能方法,能够在给系统施加定量超调约束的同时,解决约束过程中产生的约束冲突问题。 展开更多
关键词 自适应控制 可变障碍函数 超调约束 约束冲突 预设性能控制
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PMT overshoot study for the JUNO prototype detector 被引量:4
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作者 罗凤姣 衡月昆 +11 位作者 王志民 王佩良 秦中华 徐美杭 廖东豪 张海琼 黄永波 雷祥翠 钱森 刘术林 陈元柏 王贻芳 《Chinese Physics C》 SCIE CAS CSCD 2016年第9期89-94,共6页
The quality of PMT signals is crucial for large-size and high-precision neutrino experiments, but most of these experiments are affected by the overshoot of PMT signals from the positive HV-single cable scheme. Oversh... The quality of PMT signals is crucial for large-size and high-precision neutrino experiments, but most of these experiments are affected by the overshoot of PMT signals from the positive HV-single cable scheme. Overshoot affects the trigger, dead time and charge measurement from a detector. For the JUNO prototype detector, we have performed a detailed study and calculation on PMT signal overshoot to control the ratio of overshoot to signal amplitude to;%, with no effect on other PMT parameters. 展开更多
关键词 JUNO PMT PMT overshoot
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核裂变中的Overshooting现象与中子多重性
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作者 孙喆民 冯仁发 +1 位作者 吴锡真 卓益忠 《高能物理与核物理》 CSCD 北大核心 1992年第6期571-576,共6页
本文采用扩散模型来讨论核裂变中的瞬态过程。研究结果表明在Kramers区域(T/E_f<1)和高温区域(T/E_f>1)瞬态过程的行为差别很大。高温区域瞬态过程中的Overshooting现象会使裂变几率增大,从而使通常认为的裂变速率的瞬态行为引起... 本文采用扩散模型来讨论核裂变中的瞬态过程。研究结果表明在Kramers区域(T/E_f<1)和高温区域(T/E_f>1)瞬态过程的行为差别很大。高温区域瞬态过程中的Overshooting现象会使裂变几率增大,从而使通常认为的裂变速率的瞬态行为引起中子多重性增强效应在这一区域减弱甚至消失。 展开更多
关键词 裂变 overshootING 中子多重性
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A Novel Method of Finance Market Regulation Based on Control Overshoot
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作者 Juan WANG Panos M.PARDALOS Yue SHEN 《Journal of Systems Science and Information》 CSCD 2017年第5期385-394,共10页
In the finance market, risk happened in two pattern. In one case, extreme volatility together with a short balance time leads to a great panic to the market. On the contrary, if the volatility is smaller, the time per... In the finance market, risk happened in two pattern. In one case, extreme volatility together with a short balance time leads to a great panic to the market. On the contrary, if the volatility is smaller, the time period will usually be longer. It will bring many infections to various related fields,which causes wider range influences to the economy. Both cases hurt financial market and the economy itself deeply. In this paper, we developed a novel market regulation method in which the conflict of fluctuation time and volatility will be balanced. It describes a way to compute a portfolio of relatively short time period together with smaller fluctuation volatility by using a general prediction algorithm based on overshoot in cybernetics. It can also give explanation to counter-cyclical supervision theory and macro-prudential regulation. Furthermore, it can provide numerical operation guide for countercyclical supervision theory and macro-prudential regulation. 展开更多
关键词 control overshoot finance regulation general predication method soften factor compensation mechanism
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Analyses of the Dispersion Overshoot and Inverse Dissipation of the High-Order Finite Difference Scheme
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作者 Qin Li Qilong Guo Hanxin Zhang 《Advances in Applied Mathematics and Mechanics》 SCIE 2013年第6期809-824,共16页
Analyses were performed on the dispersion overshoot and inverse dissipation of the high-order finite difference scheme using Fourier and precision analysis.Schemes under discussion included the pointwise-and staggered... Analyses were performed on the dispersion overshoot and inverse dissipation of the high-order finite difference scheme using Fourier and precision analysis.Schemes under discussion included the pointwise-and staggered-grid type,and were presented in weighted form using candidate schemes with third-order accuracy and three-point stencil.All of these were commonly used in the construction of difference schemes.Criteria for the dispersion overshoot were presented and their critical states were discussed.Two kinds of instabilities were studied due to inverse dissipation,especially those that occur at lower wave numbers.Criteria for the occurrence were presented and the relationship of the two instabilities was discussed.Comparisons were made between the analytical results and the dispersion/dissipation relations by Fourier transformation of typical schemes.As an example,an application of the criteria was given for the remedy of inverse dissipation in Weirs&Mart´ın’s third-order scheme. 展开更多
关键词 High-order difference scheme dispersion overshoot inverse dissipation
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