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Energy-Efficient Implementation of BCD to Excess-3 Code Converter for Nano-Communication Using QCA Technology
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作者 Nuriddin Safoev Angshuman Khan +1 位作者 Khudoykulov Zarif Turakulovich Rajeev Arya 《China Communications》 SCIE CSCD 2024年第6期103-111,共9页
Code converters are essential in digital nano communication;therefore,a low-complexity optimal QCA layout for a BCD to Excess-3 code converter has been proposed in this paper.A QCA clockphase-based design technique wa... Code converters are essential in digital nano communication;therefore,a low-complexity optimal QCA layout for a BCD to Excess-3 code converter has been proposed in this paper.A QCA clockphase-based design technique was adopted to investigate integration with other complicated circuits.Using a unique XOR gate,the recommended circuit’s cell complexity has been decreased.The findings produced using the QCADesigner-2.0.3,a reliable simulation tool,prove the effectiveness of the current structure over earlier designs by considering the number of cells deployed,the area occupied,and the latency as design metrics.In addition,the popular tool QCAPro was used to estimate the energy dissipation of the proposed design.The proposed technique reduces the occupied space by∼40%,improves cell complexity by∼20%,and reduces energy dissipation by∼1.8 times(atγ=1.5EK)compared to the current scalable designs.This paper also studied the suggested structure’s energy dissipation and compared it to existing works for a better performance evaluation. 展开更多
关键词 BCD code converter Excess-3 nano communication QCA circuits
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A novel design of power management integrated circuit with 90 plus efficiency used in AC/DC converter
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作者 Jiang Yanfeng 《Engineering Sciences》 EI 2010年第1期53-58,共6页
Recently, resonant AC/DC converter has been accepted by the industry. However, the efficiency will be decreased at light load. So, a novel topology with critical controlling mode combined with resonant ones is propose... Recently, resonant AC/DC converter has been accepted by the industry. However, the efficiency will be decreased at light load. So, a novel topology with critical controlling mode combined with resonant ones is proposed in this paper. The new topology can correspond to a 90 plus percent of power converting. So,a novel topology of an state of art integrated circuit, which can be used as power management circuit, has been designed based on the above new topology. A simulator which is specifically suitable for the power controller has been founded in this work and it has been used for the simulation of the novel architecture and the proposed integrated circuit. 展开更多
关键词 power management integrated circuit convertER RESONANCE
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双极短路故障下基于暂态能量抑制的MMC-HVDC电网限流设备的参数优化
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作者 鄢仁武 苏子彬 方略斌 《中国电机工程学报》 北大核心 2025年第2期612-625,I0018,共15页
模块化多电平换流器高压直流输电电网发生直流短路故障时,具有故障电流上升速率快、峰值高等特征,会严重危害电网安全。为了抑制故障电流发展,缓和高压直流断路器开断电流大小与故障切除时间之间的矛盾,需要在直流侧配置限流设备。首先... 模块化多电平换流器高压直流输电电网发生直流短路故障时,具有故障电流上升速率快、峰值高等特征,会严重危害电网安全。为了抑制故障电流发展,缓和高压直流断路器开断电流大小与故障切除时间之间的矛盾,需要在直流侧配置限流设备。首先,研究双极短路故障下不同类型限流设备的工作机理,并从暂态能量的角度探讨能量释放源的分布情况、暂态能量的演化特征及限流设备参数对其限流能力的影响;其次,提出基于NSGA-Ⅱ优化算法的故障限流器与直流电抗器参数优化配置计算方法;最后,在PSCAD/EMTDC仿真系统中搭建四端双极柔性直流电网模型,针对不同电气需求的应用场景,设计相应的限流设备参数优化方案。仿真测试结果表明,该优化方法能够正确地配置限流设备的参数,提高限流设备对暂态能量的抑制效率,验证了所提方法的有效性与可靠性。 展开更多
关键词 模块化多电平换流器高压直流输电 双极短路故障 暂态能量 故障限流器 优化配置计算
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Research on Total Electric Field for DC Lines Converted from Double-Circuit AC Lines
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作者 Xiaoqian Ma Jiayu Lu +1 位作者 Kun He Wensheng Gao 《Energy and Power Engineering》 2017年第4期598-610,共13页
With rapid growth of power demand, transmission capacity is also in urgent need of upgrading. In some cases, converting existing AC transmission lines to DC lines can Improve the transmission capacity and reduce the c... With rapid growth of power demand, transmission capacity is also in urgent need of upgrading. In some cases, converting existing AC transmission lines to DC lines can Improve the transmission capacity and reduce the construction investment. In this paper, the upstream finite element method was expanded to calculate the total electric field of same tower multi-circuit DC lines converted from double-circuit AC lines, and the validity of the algorithm was confirmed by experiments. Taking a DC line converted from a typical same tower 500 kV double-circuit AC transmission line as an example, the surface electric field and the ground total electric field in different pole conductor arrangement schemes were calculated and analyzed, and the critical height of pole conductors for DC lines in residential and non-residential area were determined. Then, the corridor width of DC and AC lines at critical height in residential and non-residential areas before and after AC-DC line transformation were compared. The results indicate that for DC lines converted from common 500 kV double-circuit AC lines, the ground total electric field can meet the requirements of corresponding standard with appropriate pole conductor arrangement schemes. 展开更多
关键词 DC LINES converted from AC LINES Multi-circuit DC LINE at SAME Tower Pole Conductor BUNDLES Arrangement Scheme Total Electric Field Line-to-Ground Distance Corridor Width
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A 12bit 300MHz Current-Steering CMOS D/A Converter 被引量:1
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作者 倪卫宁 耿学阳 石寅 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2005年第6期1129-1134,共6页
The proposed DAC consists of a unit current-cell matrix for 8MSBs and a binary-weighted array for 4LSBs,trading-off between the precision,speed,and size of the chip.In order to ensure the linearity of the DAC,a double... The proposed DAC consists of a unit current-cell matrix for 8MSBs and a binary-weighted array for 4LSBs,trading-off between the precision,speed,and size of the chip.In order to ensure the linearity of the DAC,a double Centro symmetric current matrix is designed by the Q2 random walk strategy.To achieve better dynamic performance,a latch is added in front of the current switch to change the input signal,such as its optimal cross-point and voltage level.For a 12bit resolution,the converter reaches an update rate of 300MHz. 展开更多
关键词 D/A converter current-steering CMOS mixed integrated circuit cross-point Q2 random walk
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A 16 bit Stereo Audio ΣΔ A/D Converter
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作者 陈雷 赵元富 +3 位作者 高德远 文武 王宗民 朱小飞 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2006年第7期1183-1188,共6页
A 16 bit stereo audio novel stability fifth-order ∑△ A/D converter that consists of switched capacitor ∑△ modulators, a decimation filter, and a bandgap circuit is proposed. A method for the stabilization of a hig... A 16 bit stereo audio novel stability fifth-order ∑△ A/D converter that consists of switched capacitor ∑△ modulators, a decimation filter, and a bandgap circuit is proposed. A method for the stabilization of a high order single stage ∑△ modulator is also proposed. A new multistage comb filter is used for the front end decimation filter. The ∑△ A/D converter achieves a peak SNR of 96dB and a dynamic range of 96dB. The ADC was implemented in 0. 5μm 5V CMOS technology. The chip die area occupies only 4. 1mm × 2.4mm and dissipates 90mW. 展开更多
关键词 ∑△ A/D converter switched capacitor STABILITY decimation filter bandgap circuits
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200Ms/s 177mW 8bit Folding and Interpolating CMOS A/D Converter
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作者 陈诚 王照钢 +1 位作者 任俊彦 许俊 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2004年第11期1391-1397,共7页
A CMOS folding and interpolating analog-to-digital converter (ADC) for embedded application is described.The circuit is fully compatible with standard digital CMOS technology.A modified folding block implemented witho... A CMOS folding and interpolating analog-to-digital converter (ADC) for embedded application is described.The circuit is fully compatible with standard digital CMOS technology.A modified folding block implemented without resistor contributes to a small chip area.At the input stage,offset averaging reduces the input capacitance and the distributed track-and-hold circuits are proposed to improve signal-to-noise-plus-distortion ratio.The 200Ms/s 8bit ADC with 177mW total power consumption at 3.3V power supply is realized in standard digital 0.18μm 3.3V CMOS technology. 展开更多
关键词 analog-to-digital converter CMOS analog integrated circuits folding and interpolating
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A Novel Regulation Technique and Its Application to Design of Embedded SC DC-DC Converters
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作者 耿莉 陈治明 赵敏玲 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2004年第4期372-376,共5页
An optimized design of the monolithic switched capacitor DC-DC converter is presented.The general topologic circuit and its basic operating principles are discussed theoretically.Circuit equivalent resistance regulati... An optimized design of the monolithic switched capacitor DC-DC converter is presented.The general topologic circuit and its basic operating principles are discussed theoretically.Circuit equivalent resistance regulation method is proposed as a feasible method to design the on-chip converters.N-channel MOSFETs,instead of Schottky diodes,are used as the diodes in the converters because of their processing compatibility in monolithic fabrication.One more manufacture step,however,is expected to adjust the threshold voltage of the MOSFETs for improving output characteristics of the converters.As an example,a step-up switched-capacitor converter is fabricated in a 2μm p-well double-poly single-metal CMOS technology with breakdown voltage of 15V.Test results indicate that a single sampling cell with 0.4mm 2 of die size can deliver energy up to 0.63mW at 5V output under the condition of 3V input.Efficiency of the tested sample is 68% at 9.8MHz switching frequency... 展开更多
关键词 switched-capacitor converter MONOLITHIC CMOS integrated circuit
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Extract the Output Signal Characteristics of DC-DC Converter Based on Fourier Descriptor
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作者 钟洁 于盛林 刘守生 《Journal of Southeast University(English Edition)》 EI CAS 2002年第4期336-340,共5页
The precondition of realizing feedback controlling DC DC converter to avoid chaotic state is to judge the behavior of the converter and take corresponding measures. In this paper, the output signals under different ci... The precondition of realizing feedback controlling DC DC converter to avoid chaotic state is to judge the behavior of the converter and take corresponding measures. In this paper, the output signals under different circuit parameters of the PWM buck converter have been analyzed. The method of using Fourier descriptor to extract output signals characteristics is put forward and proved to be a gist of identifying and classifying the behavior of DC DC converter. This method can establish a good foundation fo... 展开更多
关键词 DC DC converter periodic orbits v i phase space Fourier descriptor
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基于单边调制映射函数的LCC-HVDC直流侧阻抗精确建模 被引量:2
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作者 汪娟娟 莫泽 +2 位作者 刘岳坤 周盛宇 傅闯 《电工技术学报》 EI CSCD 北大核心 2024年第13期3928-3942,共15页
阻抗模型是电网换相换流器型高压直流输电系统小信号稳定性分析的重要基础,阻抗模型的准确程度直接影响系统小扰动稳定性分析。该文首先从同步触发原理出发,引入基于单边调制产生的映射函数,该函数蕴含控制及换相信息,可以准确建立换相... 阻抗模型是电网换相换流器型高压直流输电系统小信号稳定性分析的重要基础,阻抗模型的准确程度直接影响系统小扰动稳定性分析。该文首先从同步触发原理出发,引入基于单边调制产生的映射函数,该函数蕴含控制及换相信息,可以准确建立换相/非换相期间交直流侧的映射关系;其次,考虑换相动态并通过谐波线性化和傅里叶变换建立完整的直流侧电压和交流侧电流的频域小信号动态模型;再次,考虑控制和换流阀阻尼回路,建立整流侧和逆变侧直流阻抗解析模型;最后,以CIGRE高压直流标准测试模型为例,基于PSCAD/EMTDC平台验证了直流侧阻抗模型的准确性及其用于小扰动稳定性分析的有效性。 展开更多
关键词 电网换相换流器 单边调制 映射函数 换相动态 换流阀阻尼回路 直流侧阻抗
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基于Logic Converter的组合逻辑电路设计
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作者 闵卫锋 徐静 马安良 《科技视界》 2016年第26期118-119,共2页
介绍了虚拟仪器Logic Converter的主要特点和使用方法 ,并以典型组合逻辑电路进行分析。实例表明,基于Logic Converter的组合逻辑电路设计不仅方便、简洁,而且大大提高了学生的学习兴趣,巩固了课程教学效果。
关键词 逻辑转换仪 组合逻辑电路 化简 变换
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Transfer function modeling and analysis of the open-loop Buck converter using the fractional calculus 被引量:10
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作者 王发强 马西奎 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第3期232-239,共8页
Based on the fact that the real inductor and the real capacitor are fractional order in nature and the fractional calculus,the transfer function modeling and analysis of the open-loop Buck converter in a continuous co... Based on the fact that the real inductor and the real capacitor are fractional order in nature and the fractional calculus,the transfer function modeling and analysis of the open-loop Buck converter in a continuous conduction mode(CCM) operation are carried out in this paper.The fractional order small signal model and the corresponding equivalent circuit of the open-loop Buck converter in a CCM operation are presented.The transfer functions from the input voltage to the output voltage,from the input voltage to the inductor current,from the duty cycle to the output voltage,from the duty cycle to the inductor current,and the output impedance of the open-loop Buck converter in CCM operation are derived,and their bode diagrams and step responses are calculated,respectively.It is found that all the derived fractional order transfer functions of the system are influenced by the fractional orders of the inductor and the capacitor.Finally,the realization of the fractional order inductor and the fractional order capacitor is designed,and the corresponding PSIM circuit simulation results of the open-loop Buck converter in CCM operation are given to confirm the correctness of the derivations and the theoretical analysis. 展开更多
关键词 Buck converter small signal equivalent circuit model fractional calculus transfer function
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A 10bit 2GHz CMOS D/A Converter for High-Speed System Applications
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作者 袁凌 倪卫宁 石寅 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2007年第10期1540-1545,共6页
This paper presents a 2GS/s 10bit CMOS digital-to-analog converter (DAC) that consists of two unit current-cell matrixes for 6MSBs and 4LSBs, respectively, trading off between the precision and size of the chip. Cur... This paper presents a 2GS/s 10bit CMOS digital-to-analog converter (DAC) that consists of two unit current-cell matrixes for 6MSBs and 4LSBs, respectively, trading off between the precision and size of the chip. Current mode logic (CML) is used to ensure high speed,and a double centro-symmetric current matrix is designed by the Q^2 random walk strategy in order to ensure the linearity of the DAC. The DAC occupies 2.2mm × 2.2mm of die area and consumes 790mW with a single 3.3V power supply. 展开更多
关键词 D/A converter current steering CMOS mixed integrated circuit Q^2 random walk
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Modeling and Current Programmed Control of a Bidirectional Full Bridge DC-DC Converter 被引量:3
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作者 Shahab H. A. Moghaddam Ahmad Ayatollahi Abdolreza Rahmati 《Energy and Power Engineering》 2012年第3期107-116,共10页
Modelling of bidirectional full bridge DC-DC converter as one of the most applicable converters has received significant attention. Mathematical modelling reduces the simulation time in comparison with detailed circui... Modelling of bidirectional full bridge DC-DC converter as one of the most applicable converters has received significant attention. Mathematical modelling reduces the simulation time in comparison with detailed circuit response;moreover it is convenient for controller design purpose. Due to simple and effective methodology, average state space is the most common method among the modelling methods. In this paper a bidirectional full bridge converter is modelled by average state space and for each mode of operations a controller is designed. Attained mathematical model results are in a close agreement with detailed circuit simulation. 展开更多
关键词 AvERAGE State Space BIDIRECTIONAL Detailed circuit Simulation Full BRIDGE DC-DC converter MATHEMATICAL MODELING
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Effects of electron radiation on commercial power MOSFET with buck converter application 被引量:1
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作者 Sheik Fareed Ookar Abubakkar Nor Farahidah Zabah +3 位作者 Yusof Abdullah Dhiyauddin Ahmad Fauzi Norasmahan Muridan Nurul Fadzlin Hasbullah 《Nuclear Science and Techniques》 SCIE CAS CSCD 2017年第3期30-34,共5页
Microelectronic power converters such as buck and boost converter are required to be tolerant to radiations including electron radiation. This paper examines electron radiation effects on the Ⅰ-Ⅴ characteristics of ... Microelectronic power converters such as buck and boost converter are required to be tolerant to radiations including electron radiation. This paper examines electron radiation effects on the Ⅰ-Ⅴ characteristics of VDMOSFET and its corresponding effects in buck converter. Analysis of the electrical characteristics shows that after irradiation the threshold voltage and drain current for all VDMOSFETs degraded more than two orders of magnitude. The impact of this electrical degradation has been investigated in an application of typical buck converter circuit. The buck converter with n-channel switching transistor shows that after irradiation its output voltage increased with the drain current in the n-channel ZVN4424 A VDMOSFET, while the buck converter with p-channel switching transistor shows its output voltage decreased with the drain current in the p-channel ZVP4424 A VDMOSFET after irradiation. 展开更多
关键词 vDMOSFET I–v characteristics DRAIN current BUCK convertER ELECTRON radiation
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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 +1 位作者 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 Integrated circuit Multi-mode controller Soft-switched flyback converter valley detection
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Analytical Modelling and Experiment of Novel Rotary Electro-Mechanical Converter with Negative Feedback Mechanism for 2D Valve 被引量:1
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作者 Bin Meng Mingzhu Dai +3 位作者 Chenhang Zhu Chenchen Zhang Chuan Ding Jian Ruan 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2022年第5期162-182,共21页
The manufacturing of spiral groove structure of two-dimensional valve(2D valve)feedback mechanism has shortcomings of both high cost and time-consuming.This paper presents a novel configuration of rotary electro-mecha... The manufacturing of spiral groove structure of two-dimensional valve(2D valve)feedback mechanism has shortcomings of both high cost and time-consuming.This paper presents a novel configuration of rotary electro-mechanical converter with negative feedback mechanism(REMC-NFM)in order to replace the feedback mechanism of spiral groove and thus reduce cost of valve manufacturing.In order to rapidly and quantitative evaluate the driving and feedback performance of the REMC-NFM,an analytical model taking leakage flux,edge effect and permeability nonlinearity into account is formulated based on the equivalent magnetic circuit approach.Then the model is properly simplified in order to obtain the optimal pitch angle.FEM simulation is used to study the influence of crucial parameters on the performance of REMC-NFM.A prototype of REMC-NFM is designed and machined,and an exclusive experimental platform is built.The torque-angle characteristics,torque-displacement characteristics,and magnetic flux density in the working air gap with different excitation currents are measured.The experimental results are in good agreement with the analytical and FEM simulated results,which verifies the correctness of the analytical model.For torque-angle characteristics,the overall torque increases with both current and rotation angle,which reaches about 0.48 N·m with 1.5 A and 1.5°.While for torque-displacement characteristics,the overall torque increases with current yet decrease with armature displacement due to the negative feedback mechanism,which is about 0.16 N·m with 1.5 A and 0.8 mm.Besides,experimental results of conventional torque motor are compared with counterparts of REMC-NFM in order to validate the simplified model.The research indicates that the REMC-NFM can be potentially used as the electro-mechanical converter for 2D valves in civil servo areas. 展开更多
关键词 Electro-mechanical converter Magnetic circuit topology Analytical modeling 2D valve
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含主动限流控制的MMC-HVDC电网直流短路故障电流解析计算 被引量:5
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作者 吴丽丽 茆美琴 施永 《电工技术学报》 EI CSCD 北大核心 2024年第3期785-797,共13页
传统的MMC-HVDC电网直流短路故障电流计算一般采用等效RLC电路方法。但是该方法没有考虑主动限流控制(ACLC)对等效电路RLC参数的影响,因此无法直接用于含ACLC的MMC-HVDC电网的直流短路故障电流的解析计算问题。该文通过将ACLC的控制效... 传统的MMC-HVDC电网直流短路故障电流计算一般采用等效RLC电路方法。但是该方法没有考虑主动限流控制(ACLC)对等效电路RLC参数的影响,因此无法直接用于含ACLC的MMC-HVDC电网的直流短路故障电流的解析计算问题。该文通过将ACLC的控制效果等效为虚拟阻抗产生的压降,建立了体现ACLC的控制影响的等效RLC电路,以包含电流变化率限流环节的典型ACLC算法为例,推导了直流双极短路故障条件下ACLC的控制参数与虚拟阻抗的映射关系以及相应的直流故障电流解析表达式。最后,以基于含ACLC的半桥型四端MMC-HVDC电网为例,建立PSCAD/EMTDC仿真模型,对采用ACLC的直流双极短路故障电流解析计算结果进行了验证。结果表明:故障后10ms内直流短路故障电流的PSCAD仿真结果与所提出的含ACLC的等效RLC电路解析计算结果的平均误差在8.29%以内,最大误差在10.99%。因此,使用所提出的方法具有工程实用性。 展开更多
关键词 模块化多电平换流器 主动限流控制 虚拟阻抗 RLC电路 直流短路故障电流计算
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Development of OPTO-LDR coupled timer based voltage to frequency converter 被引量:1
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作者 Akash Kumar Anindya Debnath +4 位作者 Antar Banik Kabirul Islam Mondal Partha Pratim Biswas Rik Bhattacharyya T K Maiti 《Journal of Measurement Science and Instrumentation》 CAS CSCD 2017年第1期17-20,共4页
This paper describes the development of a timer based voltage to frequency converter(V FC).Timer LM555is used in astable multivibrator mode with two OPTO-LDRs(light dependent resistors)in the circuitry.The frequency o... This paper describes the development of a timer based voltage to frequency converter(V FC).Timer LM555is used in astable multivibrator mode with two OPTO-LDRs(light dependent resistors)in the circuitry.The frequency of timer output waveform which is measured using a digital storage oscillator(DSO)is almost linearly proportional to the applied input voltage.Hence we obtain a linear relationship between the frequency of timer output waveform and the input voltage.Because of its quasi-digital output,the main advantages of this developed converter are linear input-output relationship,small size,easy portabilityand high cost performance.In addition,the timer output waveform can be directly interfaced with personal computer or microprocessor/microcontroller for further processing of the input voltage signal without intervening any analog-to-digital converter(ADC). 展开更多
关键词 timer LM 555 astable multivibrator light emitting diode (LED) light dependent resistor (LDR) voltage to frequency converter (v FC) digital storage oscillator (DSO)
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ANALYSIS OF ZERO-VOLTAGE QUASI-RESONANT BOOST DC-DC CONVERTER
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作者 许建平 《Journal of Electronics(China)》 1992年第3期225-232,共8页
The zero-voltage quasi-resonant boost switching DC-DC converter has been inves-tigated by using the time averaging equivalent circuit approach of periodically switching linearnetworks.The DC steady state and AC small ... The zero-voltage quasi-resonant boost switching DC-DC converter has been inves-tigated by using the time averaging equivalent circuit approach of periodically switching linearnetworks.The DC steady state and AC small signal characteristics of the converter are also given. 展开更多
关键词 SWITCHING convertER Zero-voltage QUASI-RESONANT SWITCH Time AvERAGING EQUIvALENT circuit approach
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