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Robust optical mode converter based on topological waveguide arrays
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作者 徐宇翔 唐文剑 +4 位作者 姜力炜 吴德兴 王恒 许冰聪 陈林 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第6期197-203,共7页
Optical mode converters are essential for enhancing the capacity of optical communication systems. However, fabrication errors restrict the further improvement of conventional mode converters. To address this challeng... Optical mode converters are essential for enhancing the capacity of optical communication systems. However, fabrication errors restrict the further improvement of conventional mode converters. To address this challenge, we have designed an on-chip TE0–TE1mode converter based on topologically protected waveguide arrays. The simulation results demonstrate that the converter exhibits a mode coupling efficiency of 93.5% near 1550 nm and can tolerate a relative fabrication error of 30%. Our design approach can be extended to enhance the robustness for other integrated photonic devices, beneficial for future development of optical network systems. 展开更多
关键词 on-chip integrated photonic devices topological photonics mode converter ROBUSTNESS
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Asymmetrical mirror optimization for a 140 GHz TE_(22,6) quasi-optical mode converter system 被引量:1
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作者 夏冬 金铭 白明 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第7期75-80,共6页
We introduce an asymmetrical mirror design to a 140 GHz TE_(22,6) quasi-optical(QO) mode converter system to correct the asymmetry of the beam's field distribution caused by the Denisov launcher. By such optimiza... We introduce an asymmetrical mirror design to a 140 GHz TE_(22,6) quasi-optical(QO) mode converter system to correct the asymmetry of the beam's field distribution caused by the Denisov launcher. By such optimization, the output beam with better symmetrical distribution is obtained at the system's output window. Based on the calculated results,the QO mode converter system's performance is already satisfying without iterative phase correction. Scalar and vector correlation coefficients between the output beam and the fundamental Gaussian beam are respectively 98.4% and 93.0%,while the total power transmission efficiency of the converter system is 94.4%. The assistance of optical ray tracing to the design of such QO mode converters is introduced and discussed as well. 展开更多
关键词 asymmetrical mirror design optical ray tracing quasi-optical mode converter
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Denisov-type quasi-optical mode converter forhigher-order asymmetric volume mode gyrotron
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《强激光与粒子束》 EI CAS CSCD 北大核心 2016年第7期89-96,共8页
The principle and design method of Denisov-type quasi-optical mode converter is investigated indetail. The operation process of the Denisov-type launcher is analyzed by applying the geometrical optics, andthe Gaussian... The principle and design method of Denisov-type quasi-optical mode converter is investigated indetail. The operation process of the Denisov-type launcher is analyzed by applying the geometrical optics, andthe Gaussian-like field distribution achieved on the waveguide wall is also derived. The method for designing arippled-wall launcher is proposed on the basis of coupled mode theory. A simulation code for Denisov-type qua-si-optical mode converter GQOMC-D is developed based on coupled mode theory, vector diffraction integrationand physical optics, which is compared to the design parameters and experimental results reported in literaturefor its validity. According to this code, a Denisov-type quasi-optical mode converter used in 110 GHz TE22.6mode gyrotron oscillators is designed. Simulation results indicate that a Gaussian-like beam is obtained at theoutput window with a scalar content of 98.4 % and a conversion efficiency of 94.7 %. 展开更多
关键词 GYROTRON quasi-optical mode converter Denisov-type LAUNCHER coupled mode theory
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Mode shift and stability control of a current mode controlled buck-boost converter operating in discontinuous conduction mode with ramp compensation 被引量:9
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作者 包伯成 许建平 刘中 《Chinese Physics B》 SCIE EI CAS CSCD 2009年第11期4742-4747,共6页
By establishing the discrete iterative mapping model of a current mode controlled buck-boost converter, this paper studies the mechanism of mode shift and stability control of the buck-boost converter operating in dis... By establishing the discrete iterative mapping model of a current mode controlled buck-boost converter, this paper studies the mechanism of mode shift and stability control of the buck-boost converter operating in discontinuous conduction mode with a ramp compensation current. With the bifurcation diagrazn, Lyapunov exponent spectrum, time- domain waveform and parameter space map, the performance of the buck-boost converter circuit utilizing a compensating ramp current has been analysed. The obtained results indicate that the system trajectory is weakly chaotic and strongly intermittent under discontinuous conduction mode. By using ramp compensation, the buck-boost converter can shift from discontinuous conduction mode to continuous conduction mode, and effectively operates in the stable period-one region. 展开更多
关键词 buck-boost converter iterative map model mode shift ramp compensation
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Converters for the TE_(11) Mode Generation from TM_(01) Vircator at 4 GHz 被引量:4
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作者 凌根深 周津娟 《Chinese Physics Letters》 SCIE CAS CSCD 2001年第9期1285-1287,共3页
The measurements and calculations (coupled mode equations) on the conversion of the transverse magnetic TM_(01) vircator (virtual cathode oscillator) mode at 4 GHz to the linearly polarized TE11 mode are presented by ... The measurements and calculations (coupled mode equations) on the conversion of the transverse magnetic TM_(01) vircator (virtual cathode oscillator) mode at 4 GHz to the linearly polarized TE11 mode are presented by means of mode converter systems using a circular waveguide with curvature. The mode converter is composed of the 38.78°bend with 39.07cm curvature and of the 50.78° inverse bend with 25.24cm curvature in the circular waveguide of 9cm internal diameter. The efficiency of conversion from TM_(01) to TE_(11) at 4 GHz exceeds 90%, and the overall etfficiency from TM_(01) to TE_(11) exceeds 90% in the calculated range from 3.72 to 4.8 GHz. 展开更多
关键词 WAVEGUIDE converter mode
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Design of Second Order Sliding Mode and Sliding Mode Algorithms:A Practical Insight to DC-DC Buck Converter 被引量:2
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作者 Seyed Mehdi RakhtAla Monazzahalsadat Yasoubi Hassan HosseinNia 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2017年第3期483-497,共15页
This paper presents a simple and systematic approach to design second order sliding mode controller for buck converters.The second order sliding mode control(SOSMC)based on twisting algorithm has been implemented to c... This paper presents a simple and systematic approach to design second order sliding mode controller for buck converters.The second order sliding mode control(SOSMC)based on twisting algorithm has been implemented to control buck switch mode converter.The idea behind this strategy is to suppress chattering and maintain robustness and finite time convergence properties of the output voltage error to the equilibrium point under the load variations and parametric uncertainties.In addition,the influence of the twisting algorithm on the performance of closed-loop system is investigated and compared with other algorithms of first order sliding mode control such as adaptive sliding mode control(ASMC),nonsingular terminal sliding mode control(NTSMC).In comparative evaluation,the transient response of the output voltage with the step change in the load and the start-up response of the output voltage with the step change in the input voltage of buck converter were compared.Experimental results were obtained from a hardware setup constructed in laboratory.Finally,for all of the surveyed control methods,the theoretical considerations,numerical simulations,and experimental measurements from a laboratory prototype are compared for different operating points.It is shown that the proposed twisting method presents an improvement in steady state error and settling time of output voltage during load changes. 展开更多
关键词 DC-DC buck converter non-singular-terminal sliding mode second order sliding mode twisting algorithm
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Study of Sliding Mode Control of DC-DC Buck Converter 被引量:2
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作者 Hanifi Guldemir 《Energy and Power Engineering》 2011年第4期401-406,共6页
In this paper, a robust sliding mode controller for the control of dc-dc buck converter is designed and analyzed. Dynamic equations describing the buck converter are derived and sliding mode controller is designed. A ... In this paper, a robust sliding mode controller for the control of dc-dc buck converter is designed and analyzed. Dynamic equations describing the buck converter are derived and sliding mode controller is designed. A two-loop control is employed for a buck converter. The robustness of the sliding mode controlled buck converter system is tested for step load changes and input voltage variations. The theoretical predictions are validated by means of simulations. Matlab/Simulink is used for the simulations. The simulation results are presented. The buck converter is tested with operating point changes and parameter uncertainties. Fast dynamic response of the output voltage and robustness to load and input voltage variations are obtained. 展开更多
关键词 Switched-mode Power Supplies BUCK converter Dc-Dc converter SLIDING mode Control
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Buck Converter Current Measurement Using Differential Amplifier
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作者 P.Rajeswari V.Manikandan 《Intelligent Automation & Soft Computing》 SCIE 2023年第2期1387-1402,共16页
The accuracy of the measured current is a preeminent parameter for Current Control based Power Converter applications to ensure genuine operation of the designed converter.The current measurement accuracy can be affec... The accuracy of the measured current is a preeminent parameter for Current Control based Power Converter applications to ensure genuine operation of the designed converter.The current measurement accuracy can be affected by several parameters which includes the type of technology used,components used for the selected technology,aging,usage,operating and environmental conditions.The effect of gain resistors and their manufacturing tolerances on differential amplifier-based buck converter current measurement is investigated in this work.The analysis mainly focused on the output voltage variation and its accuracy with respect to the change in gain resistance tolerances.The gain resistors with 5%,1%,0.5%and 0.1%manufacturing tolerances taken for the worst-case analysis and the calculated performance results are compared and verified with the simula-tion results.The Operational amplifiers(Op-Amp)for high frequency power con-verter applications must operate in a high frequency noise environment and the intended current measuring system must manage common mode noise distur-bances paired with the signal to be measured.Based on the Common Mode Rejec-tion Ratio(CMRR)the common mode voltages and noise signals will effectively getfiltered out.Lesser CMRR results in lower common mode signal rejection,resulting in poor precision and noise rejection.In differential amplifiers,the CMRR predominantly depends on gain resistors.So,the variations in Common Mode Rejection Ratio due to gain resistor tolerances also analyzed and compared with the output voltage variations.Besides the effects of resistor tolerances,this paper also examines the effect of Op-Amp offset voltage on output accuracy spe-cifically for low magnitude input currents.The obtained results from this analysis clearly shows that the gain resistors with 0.1%tolerance gives maximum accuracy with improved CMRR and accuracy at low magnitude input currents will get well improved by using Op-Amps with Low Offset voltage specifications. 展开更多
关键词 Buck converter common mode rejection ratio common mode gain current sensing differential amplifier differential mode gain shunt resistor
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Modeling and Dynamic Analysis of Fractional-Order Buck Converter in Continuous Conduction Mode 被引量:1
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作者 Dawei Ding Zongzhi Li Nian Wang 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 2019年第4期58-68,共11页
According to the fact that the actual inductor and actual capacitor are fractional, the mathematical and state-space averaging models of fractional order Buck converters in continuous conduction mode(CCM) are construc... According to the fact that the actual inductor and actual capacitor are fractional, the mathematical and state-space averaging models of fractional order Buck converters in continuous conduction mode(CCM) are constructed by using fractional calculus theory. Firstly, the parameter conditions that ensure that the converter working in CCM is given and transfer functions are derived. Also, the inductor current and the output voltage are analyzed. Then the difference between the mathematical model and the circuit model are analyzed, and the effect of fractional order is studied by comparing the integer order with fractional order model. Finally, the dynamic behavior of the current-controlled Buck converter is investigated. Simulation experiments are achieved via the use of Matlab/Simulink. The experimental results verify the correctness of theoretical analysis, the order should be taken as a significant parameter. When the order is taken as a bifurcation parameter, the dynamic behavior of the converter will be affected and bifurcation points will be changed as order varies. 展开更多
关键词 BUCK converter FRACTIONAL order continuous conduction mode(CCM) modeLING dynamic analysis BIFURCATION
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Analysis and Experimental Study of Proportional-Integral Sliding Mode Control for DC/DC Converter 被引量:2
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作者 张黎 丘水生 《Journal of Electronic Science and Technology of China》 2005年第2期140-143,共4页
DC/DC converter using the proportional-integral (PI) sliding mode control (SMC) scheme is investigated, including the selection of the switching surface, the proof of the reaching condition and the existence condition... DC/DC converter using the proportional-integral (PI) sliding mode control (SMC) scheme is investigated, including the selection of the switching surface, the proof of the reaching condition and the existence condition of sliding motion. The sliding regime and the local stability are given. The implementation of the PI SMC is simpler than other SMC schemes and the steady-state error is eliminated. A prototype based on Buck converter is built up. The experimental results show that the dynamic performance and robustness to the parameter variations and external disturbances are improved. 展开更多
关键词 sliding mode proportional-integral ROBUSTNESS converter
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Improved Dynamic Response of DC to DC Converter Using Hybrid PSO Tuned Fuzzy Sliding Mode Controller 被引量:1
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作者 R. Anand P. Melba Mary 《Circuits and Systems》 2016年第6期946-955,共10页
DC/DC switching converters are widely used in numerous appliances in modern existence. In this paper, the dynamic and transient response of phase shift series resonant DC/DC converter are improved using hybrid particl... DC/DC switching converters are widely used in numerous appliances in modern existence. In this paper, the dynamic and transient response of phase shift series resonant DC/DC converter are improved using hybrid particle swarm optimization tuned fuzzy sliding mode controller under starting and load step change conditions. The aim of the control is to regulate the output voltage beneath the load change. The model of the hybrid particle swarm optimization tuned fuzzy sliding mode controller is implemented using Sim Power Systems toolbox of MATLAB SIMULINK. Performance of the proposed dynamic novel control under step load change condition is investigated. 展开更多
关键词 DC to DC converter Dynamic Response Hybrid Particle Swarm Optimization Ripple Voltage Sliding mode Controller
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Tunable circularly-polarized turnstile-junction mode converter for high-power microwave applications
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作者 王晓玉 樊玉伟 +2 位作者 舒挺 袁成卫 张强 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第6期502-506,共5页
Frequency tunability has become a subject of concern in the field of high-power microwave(HPM) source research.However, little information about the corresponding mode converter is available. A tunable circularly-po... Frequency tunability has become a subject of concern in the field of high-power microwave(HPM) source research.However, little information about the corresponding mode converter is available. A tunable circularly-polarized turnstilejunction mode converter(TCTMC) for high-power microwave applications is presented in this paper. The input coaxial TEM mode is transformed into TE(10) mode with different phase delays in four rectangular waveguides and then converted into a circularly-polarized TE(11) circular waveguide mode. Besides, the rods are added to reduce or even eliminate the reflection. The innovations in this study are as follows. The tunning mechanism is added to the mode converter, which can change the effective length of rectangular waveguide and the distance between the rods installed upstream and the closest edge of the rectangular waveguide, thus improving the conversion efficiency and bandwidth. The conversion efficiency of TCTMC can reach above 98% over the frequency range of 1.42 GHz–2.29 GHz, and the frequency tunning bandwidth is about 47%. Significantly, TCTMC can obtain continuous high conversion efficiency of different frequency points with the change of tuning mechanism. 展开更多
关键词 mode converter high conversion efficiency frequency tuning performance
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Multi-mode controller IC for soft-switched flyback converter with high efficiency over the entire load range 被引量:1
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作者 Hai CHEN Meng-lian ZHAO Xiao-bo WU Xiao-lang YAN 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2008年第10期1411-1419,共9页
This paper presents a multi-mode control scheme for a soft-switched flyback converter to achieve high efficiency and excellent load regulation over the entire load range. At heavy load, critical conduction mode with v... This paper presents a multi-mode control scheme for a soft-switched flyback converter to achieve high efficiency and excellent load regulation over the entire load range. At heavy load, critical conduction mode with valley switching (CCMVS) is employed to realize soft switching so as to reduce turn-on loss of power switch as well as conducted electromagnetic interference (EMI). At light load, the converter operates in discontinuous conduction mode (DCM) with valley switching and adaptive off-time control (AOT) to limit the switching frequency range and maintain load regulation. At extremely light load or in standby mode, burst mode operation is adopted to provide low power consumption through reducing both switching frequency and static power dissipation of the controller. The multi-mode control is implemented by an oscillator whose pulse duration is adjusted by output feedback. An accurate valley switching control circuit guarantees the minimum turn-on voltage drop of power switch. The pro-totype of the controller IC was fabricated in a 1.5-μm BiCMOS process and applied to a 310 V/20 V, 90 W flyback DC/DC converter circuitry. Experimental results showed that all expected functions were realized successfully. The flyback converter achieved a high efficiency of over 80% from full load down to 2.5 W, with the maximum reaching 88.8%, while the total power consumption in standby mode was about 300 mW. 展开更多
关键词 集成电路 多模控制器 回扫转换器 检测方法
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Modeling and Simulation of MOEMS Gyroscope Based on TE-TM Mode Converter
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作者 赵毅 陈淑芬 《Journal of Beijing Institute of Technology》 EI CAS 2009年第3期309-312,共4页
A novel structure design of micro optic electro mechanical system(MOEMS)gyroscope is presented in this paper.The structure combining surface acoustic wave(SAW)sensor,optical waveguide diffractive component,electro... A novel structure design of micro optic electro mechanical system(MOEMS)gyroscope is presented in this paper.The structure combining surface acoustic wave(SAW)sensor,optical waveguide diffractive component,electro-optical modulator etc.is integrated on a LiNbO3 substrate as the gyroscope for sensing rotating angular velocity,and an optical readout device is added on the traditional SAW typed TE-TM mode converter as the detecting device.The principles of the MOEMS are discussed in the paper,and simulation result shows that there would be apparent advantages of higher precision and stronger anti-vibration capacity. 展开更多
关键词 surface acoustic wave (SAW) micro optic electro mechanical system (MOEMS) TE-TM mode converter GYROSCOPE light readout
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Sampled-data modeling and dynamical effect of output-capacitor time-constant for valley voltage-mode controlled buck-boost converter 被引量:4
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作者 周述晗 周国华 +2 位作者 曾绍桓 冷敏瑞 徐顺刚 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第11期515-525,共11页
By analyzing the output voltage ripple of a buck-boost converter with large equivalent series resistance(ESR) of output capacitor, one valley voltage-mode controller for buck-boost converter is proposed. Considering... By analyzing the output voltage ripple of a buck-boost converter with large equivalent series resistance(ESR) of output capacitor, one valley voltage-mode controller for buck-boost converter is proposed. Considering the fact that the increasing and decreasing slopes of the inductor current are assumed to be constant during each switching cycle, an especial sampleddata model of valley voltage-mode controlled buck-boost converter is established. Based on this model, the dynamical effect of an output-capacitor time-constant on the valley voltage-mode controlled buck-boost converter is revealed and analyzed via the bifurcation diagrams, the movements of eigenvalues, the Lyapunov exponent spectra, the boundary equations,and the operating-state regions. It is found that with gradual reduction of output-capacitor time-constant, the buck-boost converter in continuous conduction mode(CCM) shows the evolutive dynamic behavior from period-1 to period-2, period-4, period-8, chaos, and invalid state. The stability boundary and the invalidated boundary are derived theoretically by stability analysis, where the stable state of valley voltage-mode controlled buck-boost converter can enter into an unstable state, and the converter can shift from the operation region to a forbidden region. These results verified by time-domain waveforms and phase portraits of both simulation and experiment indicate that the sampled-data model is correct and the time constant of the output capacitor is a critical factor for valley voltage-mode controlled buck-boost converter, which has a significant effect on the dynamics as well as control stability. 展开更多
关键词 buck-boost converter valley voltage-mode control sampled-data modeling dynamics
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Frequency Range Dependent TE<sub>10</sub>to TE<sub>40</sub>Metallic Waveguide Mode Converter
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作者 Yoshihiro Kokubo 《Journal of Electromagnetic Analysis and Applications》 2011年第7期287-290,共4页
Dielectric rod arrays in a metallic waveguide alter the propagation modes and group velocities of electromagnetic waves. We focus on TE10-to-TE20 mode converters and investigate the variation in their behavior with fr... Dielectric rod arrays in a metallic waveguide alter the propagation modes and group velocities of electromagnetic waves. We focus on TE10-to-TE20 mode converters and investigate the variation in their behavior with frequency. In this investigation, a mode converter is proposed that passes the TE10 mode at frequencies lower than 2fc, and converts the TE10 mode into the TE40 mode for frequencies higher than 2fc, which is achieved by a combination of TE10-TE20 mode converters. 展开更多
关键词 Metallic WAVEGUIDE Dielectric ROD mode converter
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Paralleled DC-DC Power Converters Sliding Mode Control with Dual Stages Design
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作者 Bashar Khasawneh Maha Sabra Mohamed A. Zohdy 《Journal of Power and Energy Engineering》 2014年第2期1-10,共10页
This paper proposes the new cascaded series parallel design for improved dynamic performance of DC-DC buck boost converters by a new Sliding Mode Control (SMC) method. The converter is controlled using Sliding Mode Co... This paper proposes the new cascaded series parallel design for improved dynamic performance of DC-DC buck boost converters by a new Sliding Mode Control (SMC) method. The converter is controlled using Sliding Mode Control method that utilizes the converter’s duty ratio to determine the skidding surface. System modeling and simulation results are presented. The results also showed an improved overall performance over typical PID controller, and there was no overshoot or settling time, tracking the desired output nicely. Improved converter performance and robustness were expected. 展开更多
关键词 DC-DC converterS Paralleled converter DC-DC CONTROL Efficiency Improvement of DC-DC Sliding mode CONTROL (SMC) Hyper Plane DESIGN Variable Structure CONTROL (VSC)
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Two-Mode Converters at 1.3μm Based on Multimode Interference Couplers on InP Substrates
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作者 郭菲 陆丹 +3 位作者 张瑞康 王会涛 王圩 吉晨 《Chinese Physics Letters》 SCIE CAS CSCD 2016年第2期39-42,共4页
Two-mode converters at 1.3μm, aiming at applications in mode-division multiplexing in Ethernet systems, are proposed and experimentally demonstrated. Based on multimode interference couplers, the two-mode converters ... Two-mode converters at 1.3μm, aiming at applications in mode-division multiplexing in Ethernet systems, are proposed and experimentally demonstrated. Based on multimode interference couplers, the two-mode converters with 50% and 66% mode conversion efficiencies are designed and fabricated on InP substrates. AIode conver- sion from the fundamental mode (TEo) to the first order mode (TE1) is successfully demonstrated within the wavelength range of 1280-1320nm. The 1.3-μm mode converters should be important devices in mode-division multiplexing systems in Ethernet systems. 展开更多
关键词 mode INP Two-mode converters at 1.3 m Based on Multimode Interference Couplers on InP Substrates of in TE on
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Sliding mode control of three-phase AC/DC converters using exponential rate reaching law
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作者 JEERANANTASIN Narin NUNGAM Suksun 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2022年第1期210-221,共12页
Sliding mode control(SMC) becomes a common tool in designing robust nonlinear control systems, due to its inherent characteristics such as insensitivity to system uncertainties and fast dynamic response.Two modes are ... Sliding mode control(SMC) becomes a common tool in designing robust nonlinear control systems, due to its inherent characteristics such as insensitivity to system uncertainties and fast dynamic response.Two modes are involved in the SMC operation, namely reaching mode and sliding mode.In the reaching mode, the system state is forced to reach the sliding surface in a finite time.The major drawback of the SMC approach is the occurrence of chattering in the sliding mode, which is undesirable in most applications.Generally, the trade-off between chattering reduction and fast reaching time must be considered in the conventional SMC design.This paper proposes SMC design with a novel reaching law called the exponential rate reaching law(ERRL) to reduce chattering, and the control structure of the converter is designed based on the multiinput SMC that is applied to a three-phase AC/DC power converter.The simulation and experimental results show the effectiveness of the proposed technique. 展开更多
关键词 exponential rate reaching law(ERRL) multi-input sliding mode control(SMC) chattering reduction three-phase AC-to-DC converter
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Bifurcation and chaos in high-frequency peak current mode Buck converter
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作者 常昌远 赵欣 +1 位作者 杨帆 吴承恩 《Chinese Physics B》 SCIE EI CAS CSCD 2016年第7期171-178,共8页
Bifurcation and chaos in high-frequency peak current mode Buck converter working in continuous conduction mode(CCM) are studied in this paper. First of all, the two-dimensional discrete mapping model is established.... Bifurcation and chaos in high-frequency peak current mode Buck converter working in continuous conduction mode(CCM) are studied in this paper. First of all, the two-dimensional discrete mapping model is established. Next, reference current at the period-doubling point and the border of inductor current are derived. Then, the bifurcation diagrams are drawn with the aid of MATLAB. Meanwhile, circuit simulations are executed with PSIM, and time domain waveforms as well as phase portraits in i_L–v_C plane are plotted with MATLAB on the basis of simulation data. After that, we construct the Jacobian matrix and analyze the stability of the system based on the roots of characteristic equations. Finally, the validity of theoretical analysis has been verified by circuit testing. The simulation and experimental results show that,with the increase of reference current I_(ref), the corresponding switching frequency f is approaching to low-frequency stage continuously when the period-doubling bifurcation happens, leading to the converter tending to be unstable. With the increase of f, the corresponding Irefdecreases when the period-doubling bifurcation occurs, indicating the stable working range of the system becomes smaller. 展开更多
关键词 peak current mode Buck converter high frequency bifurcation chaos
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