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Phase field model for electric-thermal coupled discharge breakdown of polyimide nanocomposites under high frequency electrical stress
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作者 韩智云 李庆民 +3 位作者 李俊科 王梦溪 任瀚文 邹亮 《Plasma Science and Technology》 SCIE EI CAS CSCD 2024年第2期114-124,共11页
In contrast to conventional transformers, power electronic transformers, as an integral component of new energy power system, are often subjected to high-frequency and transient electrical stresses, leading to heighte... In contrast to conventional transformers, power electronic transformers, as an integral component of new energy power system, are often subjected to high-frequency and transient electrical stresses, leading to heightened concerns regarding insulation failures. Meanwhile, the underlying mechanism behind discharge breakdown failure and nanofiller enhancement under high-frequency electrical stress remains unclear. An electric-thermal coupled discharge breakdown phase field model was constructed to study the evolution of the breakdown path in polyimide nanocomposite insulation subjected to high-frequency stress. The investigation focused on analyzing the effect of various factors, including frequency, temperature, and nanofiller shape, on the breakdown path of Polyimide(PI) composites. Additionally, it elucidated the enhancement mechanism of nano-modified composite insulation at the mesoscopic scale. The results indicated that with increasing frequency and temperature, the discharge breakdown path demonstrates accelerated development, accompanied by a gradual dominance of Joule heat energy. This enhancement is attributed to the dispersed electric field distribution and the hindering effect of the nanosheets. The research findings offer a theoretical foundation and methodological framework to inform the optimal design and performance management of new insulating materials utilized in high-frequency power equipment. 展开更多
关键词 dielectric discharge breakdown high frequency power electronic transformer polyimide nanocomposites phase field model
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Measurement of acoustic field radiated by low frequency power ultrasonic transducer with laser-interferometer 被引量:2
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作者 QIAN Menglu GAO Wen HU Wenxiang (Institute of Acoustics, Tongji University Shanghai 200092) 《Chinese Journal of Acoustics》 2000年第4期299-308,共10页
Based on the piezo-optic effect of medium, the refractive index of medium is the function of its density, and so it's also the function of acoustic pressure. Therefore, acoustic pressure in the optical path everyw... Based on the piezo-optic effect of medium, the refractive index of medium is the function of its density, and so it's also the function of acoustic pressure. Therefore, acoustic pressure in the optical path everywhere can be determined absolutely by laser-interferometric technique and relative distribution of pressure in the middle and far acoustic field, which can be obtained from theory or experiment respectively. Theory and experiment of measurement of pressure in acoustic field with laser-interferometer are introduced. Distribution of pressure radiated by a power ultrasonic transducer is determined by laser interferometric technique. The theoretical and experimental results are in good agreement. The receiving sensitivity of a PVDF (Polyvinylidene fluoride) transducer in free field is also calibrated absolutely due to above results and its sensitivity is -118.5 dB. 展开更多
关键词 Measurement of acoustic field radiated by low frequency power ultrasonic transducer with laser-interferometer
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Amplified Spontaneous Emission in Single Frequency Double-Clad Fiber Power Amplifiers
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作者 杨苏辉 孙鑫鹏 +2 位作者 杨春香 赵长明 李卓 《Journal of Beijing Institute of Technology》 EI CAS 2008年第2期198-201,共4页
Amplified spontaneous emission (ASE) in diode laser pumped double-clad fiber power amplifiers is studied experimentally, The dependences of ASE on fiber length and cross section of active core are discussed and the ... Amplified spontaneous emission (ASE) in diode laser pumped double-clad fiber power amplifiers is studied experimentally, The dependences of ASE on fiber length and cross section of active core are discussed and the variations of ASE power as the function of pumping and signal power are investigated. There are indications that long fibers with large mode area need stronger input signals to suppress ASE. It is shown that a 150 mW input signal can suppress the ASE by 40 dB in a 4 m large mode area fiber, while to efficiently suppress the ASE in a 10 m fiber, stronger input signal is needed. 12.5 W and 16.1 W single frequency CW output power are obtained from 4 m fiber and 10 m fiber respectively. No stimulated Brillouin scattering (SBS) was observed 展开更多
关键词 fiber laser double cladding fiber single frequency power amplifier
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Effect of power frequency excitation character on ferroresonance in neutral-grounded system 被引量:2
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作者 惠萌 刘崇新 《Chinese Physics B》 SCIE EI CAS CSCD 2010年第12期109-114,共6页
In most earlier ferroresonance studies the traditional excitation characteristic of iron core, in which the traditional excitation characteristic contains harmonic voltages or currents, has been used as if it were mad... In most earlier ferroresonance studies the traditional excitation characteristic of iron core, in which the traditional excitation characteristic contains harmonic voltages or currents, has been used as if it were made up of pure fundamental voltage or current. However, this is not always true. In comparison with traditional excitation characteristics, this paper introduces the power frequency excitation characteristic of the iron core, which contains no harmonics. The power frequency excitation characteristic of iron core has been obtained by Elector Magnetic Transient Program, resulting in discrete voltage and current pairs. Extensive simulations are carried out to analyse the effect of power frequency excitation characteristic on potential transformer ferroresonance. A detailed analysis of simulation results demonstrates that with power frequency excitation characteristic of iron core inclusion at certain excitation voltage the ferroresonance may happen, conversely it may not happen with traditional excitation characteristic inclusion. 展开更多
关键词 FERRORESONANCE power frequency excitation characteristic
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Industrial frequency single-phase AC traction power supply system for urban rail transit and its key technologies 被引量:1
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作者 Qunzhan Li 《Journal of Modern Transportation》 2016年第2期103-113,共11页
To avoid stray current and maintain the benefit of no phase-split in the DC traction power supply system, an AC traction power supply system was proposed for the urban public transport such as metro and light rail tra... To avoid stray current and maintain the benefit of no phase-split in the DC traction power supply system, an AC traction power supply system was proposed for the urban public transport such as metro and light rail transit. The proposed system consists of a main substation (MSS) and cable traction network (CTN). The MSS includes a single-phase main traction transformer and a negative-se- quence compensation device, while the CTN includes double-core cables, traction transformers, overhead catenary system, rails, etc. Several key techniques for the proposed system were put forward and discussed, which can be summarized as (1) the power supply principle, equivalent circuit and transmission ability of the CTN, the cable-catenary matching technique, and the selection of catenary voltage level; (2) the segmentation technology and status identification method for traction power supply network, distributed and centralized protection schemes, etc.; (3) a power supply scheme for single-line MSS and a power supply scheme of MSS shared by two or more lines. The proposed industrial frequency single-phase AC traction power supply system shows an excellent technical performance, good economy, and high reliability, hence provides a new alternative for metro and urban rail transit power supply systems. 展开更多
关键词 Urban rail transit 50 Hz industrial frequency single-phase AC traction power supply Cable traction
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Design Technologies for Silicon-Based High-Efficiency RF Power Amplifiers:A Brief Overview 被引量:1
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作者 Ruili Wu Jerry Lopez +1 位作者 Yan Li Donald Y.C.Lie 《ZTE Communications》 2011年第3期28-35,共8页
This paper presents a brief overview of several promising design technologies for high efficiency silicon-based radio frequency (RF) power amplifiers (PAs) as well as the use of these technologies in mobile broadb... This paper presents a brief overview of several promising design technologies for high efficiency silicon-based radio frequency (RF) power amplifiers (PAs) as well as the use of these technologies in mobile broadband wireless communications. Four important aspects of PA design are addressed in this paper. First, we look at class-E PA design equations and provide an example of a class-E PA that achieves efficiency of 65-70% at 2.4 GHz. Then, we discuss state-of-the-art envelope tracking (ET) design for monolithic wideband RF mobile transmitter applications. A brief overview of Doherty PA design for the next-generation wireless handset applications is then given. Towards the end of the paper, we discuss an inherently broadband and highly efficient class-J PA design targeting future multi-band multi-standard wireless communication protocols. 展开更多
关键词 radio frequency power amplifier silicon-based power amplifier envelope tracking class-E amplifier broadband PA class-J Doherty power amplifier
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Experimental Analysis of Radial Centrifugal Pump Shutdown
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作者 Xiao Sun Jiangbo Tong +4 位作者 Yuliang Zhang Haibing Cai Wen Zhou Xiaoqi Jia Litao Ou 《Fluid Dynamics & Materials Processing》 EI 2024年第4期725-737,共13页
Centrifugal pumps are widely used in the metallurgy,coal,and building sectors.In order to study the hydraulic characteristics of a closed impeller centrifugal pump during its shutdown in the so-called power frequency ... Centrifugal pumps are widely used in the metallurgy,coal,and building sectors.In order to study the hydraulic characteristics of a closed impeller centrifugal pump during its shutdown in the so-called power frequency and frequency conversion modes,experiments were carried to determine the characteristic evolution of parameters such as speed,inlet and outlet pressure,head,flow rate and shaft power.A quasi-steady-state method was also used to further investigate these transient behaviors.The results show that,compared to the power frequency input,the performance parameter curves for the frequency conversion input are less volatile and smoother.The characteristic time is longer and the response to shutdown is slower.The quasi-steady-state theoretical head-flow curves match the experimental head-flow curves more closely at low flow rates when the frequency conversion input is considered.Moreover,in this case,the similarity law predicts the hydraulic performance more accurately. 展开更多
关键词 Centrifugal pump power frequency frequency conversion SHUTDOWN external characteristic experimental study
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A Parallel-type Load Damping Factor Controller for Frequency Regulation in Power Systems with High Penetration of Renewable Energy Sources
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作者 Zhe Zhang Siyang Liao +5 位作者 Yuanzhang Sun Jian Xu Deping Ke Bo Wang Rui Chen Yibo Jiang 《Journal of Modern Power Systems and Clean Energy》 SCIE EI CSCD 2024年第4期1019-1030,共12页
Renewable energy sources(RESs)are rapidly devel-oping and their substitution for traditional power generation poses significant challenges to the frequency regulation in power systems.The load damping factor D charact... Renewable energy sources(RESs)are rapidly devel-oping and their substitution for traditional power generation poses significant challenges to the frequency regulation in power systems.The load damping factor D characterizes the active power of load that changes with power system frequency,which is an important factor influencing the frequency response.However,the value of D is small,resulting in the limitation in frequency regulation of the power system.This paper proposes a parallel-type load damping factor controller to enhance load damping factor by utilizing static var generators(SVGs)in substations.Additionally,it discusses the configuration method for the relevant parameters of the controller,evaluates its frequen-cy regulation capability,investigates the impact of large-scale application of the controller on static and dynamic loads,and conducts a comprehensive evaluation of the impact of the damping factor control process on the voltage stability of the main grid.The large-scale application of the proposed controller can significantly improve the frequency regulation capability,and almost have no influence on the working status of the load.It can also significantly improve the dynamic performance of system frequency.The proposed controller can provide technical support for the frequency regulation of new power systems with high proportion of RESs. 展开更多
关键词 Load damping factor parallel-type load damping factor controller power system frequency regulation highproportion renewable energy system
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Exploiting demand-side heterogeneous flexible resources in risk management of power system frequency
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作者 YAO Yu SONG YongHua +2 位作者 YE ChengJin DING Yi ZHAO YuMing 《Science China(Technological Sciences)》 SCIE EI CAS CSCD 2024年第5期1612-1627,共16页
More demand-side flexible resources(DFRs)are participating in the frequency regulation of renewable power systems,whose heterogeneous characteristics have a significant impact on the system frequency response.Conseque... More demand-side flexible resources(DFRs)are participating in the frequency regulation of renewable power systems,whose heterogeneous characteristics have a significant impact on the system frequency response.Consequently,selecting suitable DFRs poses a formidable challenge for independent system operators(ISO).In this paper,a reserve allocation methodology for heterogeneous DFRs is proposed to manage the risk of power system frequency.Firstly,a performance curve is developed to describe the cost,capacity,and response speed of DFRs.Moreover,a clustering method for multiple distributed DFRs is conducted to calculate the aggregated performance curves and uncertainty coefficients.Then,the frequency security criterion considering DFRs’performance is constructed,whose linearity makes it can be easily coupled into the system scheduling model and solved.Furthermore,a risk management model for DFRs considering frequency-chance-constraint is proposed to make a trade-off between cost and frequency security.Finally,the model is transformed into mixed integer second-order cone programming(MISOCP)and solved by the commercial solver.The proposed model is validated by the IEEE 30 and IEEE 118 bus systems. 展开更多
关键词 demand-side heterogenous flexible resources risk management of power system frequency performance curve aggregation method mixed integer second-order cone programming
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Investigation of Plasma Polymerized Maleic Anhydride Film in a Middle Frequency Dielectric Barrier Discharge
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作者 汤文杰 陈强 +1 位作者 张跃飞 葛袁静 《Plasma Science and Technology》 SCIE EI CAS CSCD 2008年第2期176-179,共4页
Plasma polymerized maleic anhydride (MA) was carried out by using maleic anhydride supersaturated ethanol solution as a precursor in a dielectric barrier discharge (DBD). The film properties were characterized by ... Plasma polymerized maleic anhydride (MA) was carried out by using maleic anhydride supersaturated ethanol solution as a precursor in a dielectric barrier discharge (DBD). The film properties were characterized by water contact angle (WCA), Fourier transfer infrared (FTIR), X-ray photoelectron spectroscopy (XPS), atomic force microscope (AFM) analysis, and a thickness profilometer. The influence of the processing parameters on the film properties such as tile power frequency and polymerization zone was investigated. The results show that anhydride group incorporated into the growing films is favorable at the frequency of 80 kHz and working pressure of 50 Pa. The poly (maleic anhydride) film is uniform and compact at an average deposition rate of 8 nm/min. 展开更多
关键词 maleic anhydride middle frequency power DBD discharge properties
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Effect of PMD-induced Pulse Broadening on Sensitivity and Frequency Spectrum 被引量:1
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作者 LIUJian-fei WANGJian 《Semiconductor Photonics and Technology》 CAS 2002年第2期75-79,共5页
The PMD-induced pulse broadening may cause the degradation ofreceiver sensitivity and has negative effects on the power spectrumof received signals. The expression s of PMO-induced pulse broadeningeffects on receiver ... The PMD-induced pulse broadening may cause the degradation ofreceiver sensitivity and has negative effects on the power spectrumof received signals. The expression s of PMO-induced pulse broadeningeffects on receiver sensitivity are derived based on the concept ofman square pulse width. The effects of PMD on the spectrum ofreceived power are analyzed in detail. Finally, the scheme isdiscussed with which the poser of a certain frequency component isextracted as a feedback control signal in a PMD compensation system. 展开更多
关键词 optical fiber communication polarization model dispersion receiversensitivity power frequency spectrum
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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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INVESTIGATION OF DOMINANT FREQUENCIES IN TRANSITION REYNOLDS NUMBER RANGE OF FLOW AROUND A CIRCULAR CYLINDER PARTⅡ: THEORETICAL DETERMINATION OF THE RELATIONSHIP BETWEEN VORTEX SHEDDING AND TRANSITION FREQUENCIES AT DIFFERENT REYNOLDS NUMBERS 被引量:1
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作者 AHMED N A 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2006年第3期317-321,共5页
An attempt has been made to explore whether the power relation can be obtained from theoretical considerations. The classical laminar and turbulent boundary layer concepts have been employed to determine appropriate v... An attempt has been made to explore whether the power relation can be obtained from theoretical considerations. The classical laminar and turbulent boundary layer concepts have been employed to determine appropriate values of the scaling lengths associated with vortex shedding and shear layer frequencies to predict the power law relationship with Reynolds number. The predicted results are in good agreement with experimental results. The findings will provide a greater insight into the overall phenomenon involved. 展开更多
关键词 Vortex shedding Transition Separated flow Shear layer frequency power spectral density
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Stress Controlled Silicon Nitride Thin Film Deposited by Plasma Enhanced Chemical Vapour Deposition
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作者 DA Xiao-li XU Chen GUAN Bao-lu SHEN Guang-di 《Semiconductor Photonics and Technology》 CAS 2007年第2期141-145,共5页
SiN, films are deposited on silicon wafers through plasma enhanced chemical vapor deposition (PECVD). The relationship between the film stress and deposition factors is investigated. It is found that low stress film... SiN, films are deposited on silicon wafers through plasma enhanced chemical vapor deposition (PECVD). The relationship between the film stress and deposition factors is investigated. It is found that low stress films would be obtained by adjusting the ratio of low frequency(LF) power to high frequency(HF) power pulse time or the chamber pressure. The best of the two methods to control stress in the film is changing the percentage of LF power pulse time. The low stress condition is achieved when the percentage of low frequency power pulse time in total time(LF and HF pulse time) is close to 40%, The low stress cantilever of tunable vertical cavity surface emitting laser is obtained by using this deposition condition, 展开更多
关键词 film stress SiN PRESSURE radio frequency power CANTILEVER
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Design theory and experimental investigation of the low frequency and high power rare earth magnetostrictive flextensional transducer (Ⅰ). Theoretical part 被引量:6
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作者 HE Xiping (Applied acoustic institute, Shaanxi Teachers University Xi’an 710072) (College of Marine Engineering Northwestern Polytechnic University Xi’an 710O72) SUN Jincai LI Bin (Colloge of Marine Engineering Northwestern Polytechnic University Xi’an 71 《Chinese Journal of Acoustics》 2001年第4期298-309,共12页
The energy relationships among all the elements, by which the magnetostrictive transducers are manufactured, in Finite Element Method (FEM) are analyzed, then the expres- sions of FEM dynamics equations and performanc... The energy relationships among all the elements, by which the magnetostrictive transducers are manufactured, in Finite Element Method (FEM) are analyzed, then the expres- sions of FEM dynamics equations and performances formulas for magnetostrictive transducers are derived. The vibrating modes of the class VII transducer and its shell vibration are calcu- lated theoretically and the results point out that there is a breathing mode and if the transducer works at this mode, the transducer will vibrate with a greater volume speed and source level. 展开更多
关键词 NODE Design theory and experimental investigation of the low frequency and high power rare earth magnetostrictive flextensional trans Theoretical part high
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Determination of total sulfur in geothermal water by inductively coupled plasma-atomic emission spectrometry 被引量:1
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作者 Bing-bing Liu Mei Han +3 位作者 Jia Liu Na Jia Chen-ling Zhang Lin Zhang 《Journal of Groundwater Science and Engineering》 2022年第3期285-291,共7页
Sulfur speciation and concentration in geothermal water are of great significance for the research and utilization of the water resources.In most situations,it is necessary to determine the total sulfur in geothermal ... Sulfur speciation and concentration in geothermal water are of great significance for the research and utilization of the water resources.In most situations,it is necessary to determine the total sulfur in geothermal water.In this study,the method was established for the determination of determining total sulfur content-the inductively coupled plasma-atomic emission spectrometry(ICP-AES),with the wavelength of 182.034 nm selected in spectral line of sulfur.It was identified that the optimal working conditions of the ICP-AES instrument were 1200 W for high frequency generator power 9 mm for vertical observation height,0.30 MPa atomizer pressure,and 50 r/min analytical pump speed.The matrix interference of the method was eliminated by the matrix matching method.Using this method,sulfur detection limit and minimum quantitative detection limit were 0.028 mg/L and 0.110 mg/L,respectively,whilst the linear range was 0.0-100.0 mg/L.The recovery rate of sample was between 90.67%and 108.7%,and the relative standard deviation(RSD)was between 0.36%and 2.14%.The method was used to analyze the actual samples and the results were basically consistent with the industry standard method.With high analysis efficiency,the method has low detection limit and minimum quantitative detection limit,wide linear range,good precision and accuracy,and provides an important detection method for the determination of total sulfur in geothermal water. 展开更多
关键词 High frequency generator power Vertical observation height Atomizer pressure Matrix matching method Standard addition method
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Design of a weak bioelectric signal acquisition circuit 被引量:1
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作者 ZHOU Mingjuan WANG Yuyuan RAN Li 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2021年第1期20-26,共7页
A surface electromyography(sEMG)signal acquisition circuit based on high-order filtering is designed.We use a two-stage adjustable amplifier and a high-order Sallen-Key bandpass filter to solve the problems of non-adj... A surface electromyography(sEMG)signal acquisition circuit based on high-order filtering is designed.We use a two-stage adjustable amplifier and a high-order Sallen-Key bandpass filter to solve the problems of non-adjustable amplification gain and low filtering order in traditional acquisition circuits.The experimental results show that the designed sEMG signal acquisition device can eliminate power frequency interference effectively,the stopband drop of the filtering part reaches approximately-100 dB/dec,which can effectively extract useful signals between 20-500 Hz,and the amplification gain reaches 60 dB. 展开更多
关键词 surface electromyography(sEMG) two-stage amplification high-order filtering interference suppression power frequency noise
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Evolution of low-frequency noise passing through a spatial filter in a high power laser system 被引量:2
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作者 SUN PingPing LIU DeAn +3 位作者 ZHANG YanLi LI XiaoYan ZHANG Yan ZHU JianQiang 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2011年第3期411-415,共5页
The theoretical model of spatial noise passing through a spatial filter is established in high power laser system under the small signal approximation. The transmission characteristic for a noise signal passing throug... The theoretical model of spatial noise passing through a spatial filter is established in high power laser system under the small signal approximation. The transmission characteristic for a noise signal passing through spatial filters with different magnifications is analyzed by numerical simulation, according to the actual structure of the high power laser system. The results show that the spatial modulation period of low-frequency noise getting through the pinhole will be proportional to the magnification of the spatial filter. When the magnification is less than 1, the safe low-frequency noise will be extruded into the high-frequency region, which is the fast increasing part, and finally develops into the most dangerous part which can damage the optical devices. The conclusion of this research improves the relay imaging theory of a spatial filter and provides an important theoretical basis for a general design of high power laser systems. 展开更多
关键词 high power laser spatial filter spatial modulation frequency modulation contrast ratio
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Analysis of temperature field for a surface-mounted and interior permanent magnet synchronous motor adopting magnetic-thermal coupling method 被引量:3
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作者 Jikai Si Suzhen Zhao +2 位作者 Haichao Feng Yihua Hu Wenping Cao 《CES Transactions on Electrical Machines and Systems》 2018年第1期166-174,共9页
Aiming at obtaining high power density of surface-mounted and interior permanent magnet synchronous motor(SIPMSM),it is important to accurately calculate the temperature field distribution of SIPMSM,and a magnetic-the... Aiming at obtaining high power density of surface-mounted and interior permanent magnet synchronous motor(SIPMSM),it is important to accurately calculate the temperature field distribution of SIPMSM,and a magnetic-thermal coupling method is proposed.The magnetic-thermal coupling mechanism is analyzed.The thermal network model and finite element model are built by this method,respectively.The effects of power frequency on iron losses and temperature fields are analyzed by the magnetic-thermal coupling finite element model under the condition of rated load,and the relationship between the load and temperature field is researched under the condition of the synchronous speed.In addition,the equivalent thermal network model is used to verify the magnetic-thermal coupling method.Then the temperatures of various nodes are obtained.The results show that there are advantages in both computational efficiency and accuracy for the proposed coupling method,which can be applied to other permanent magnet motors with complex structures. 展开更多
关键词 Equivalent thermal network method magnetic-thermal coupling method power frequency iron loss surface-mounted and interior permanent magnet synchronous motor(SIPMSM) temperature field
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Parametric characteristic of the random vibration response of nonlinear systems 被引量:2
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作者 Xing-Jian Dong Zhi-Ke Peng +2 位作者 Wen-Ming Zhang Guang Meng Fu-Lei Chu 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2013年第2期267-283,共17页
Volterra series is a powerful mathematical tool for nonlinear system analysis,and there is a wide range of nonlinear engineering systems and structures that can be represented by a Volterra series model.In the present... Volterra series is a powerful mathematical tool for nonlinear system analysis,and there is a wide range of nonlinear engineering systems and structures that can be represented by a Volterra series model.In the present study,the random vibration of nonlinear systems is investigated using Volterra series.Analytical expressions were derived for the calculation of the output power spectral density(PSD) and input-output cross-PSD for nonlinear systems subjected to Gaussian excitation.Based on these expressions,it was revealed that both the output PSD and the input-output crossPSD can be expressed as polynomial functions of the nonlinear characteristic parameters or the input intensity.Numerical studies were carried out to verify the theoretical analysis result and to demonstrate the effectiveness of the derived relationship.The results reached in this study are of significance to the analysis and design of the nonlinear engineering systems and structures which can be represented by a Volterra series model. 展开更多
关键词 Volterra series·Nonlinear system·Random vibration·power spectrum density·Generalized frequency response functions
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