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Flexible linear clock-based distributed self-triggered active power-sharing secondary control of AC microgrids
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作者 Yulin Chen Xing Huang +5 位作者 Guangxin Zhi Shaohua Yang Hongxun Hui Donglian Qi Yunfeng Yan Fengkai Gao 《Global Energy Interconnection》 EI CSCD 2024年第6期786-797,共12页
Traditional active power sharing in microgrids,achieved by the distributed average consensus,requires each controller to continuously trigger and communicate with each other,which is a wasteful use of the limited comp... Traditional active power sharing in microgrids,achieved by the distributed average consensus,requires each controller to continuously trigger and communicate with each other,which is a wasteful use of the limited computation and communication resources of the secondary controller.To enhance the efficiency of secondary control,we developed a novel distributed self-triggered active power-sharing control strategy by introducing the signum function and a flexible linear clock.Unlike continuous communication–based controllers,the proposed self-triggered distributed controller prompts distributed generators to perform control actions and share information with their neighbors only at specific time instants monitored by the linear clock.Therefore,this approach results in a significant reduction in both the computation and communication requirements.Moreover,this design naturally avoids Zeno behavior.Furthermore,a modified triggering condition was established to achieve further reductions in computation and communication.The simulation results confirmed that the proposed control scheme achieves distributed active power sharing with very few controller triggers,thereby substantially enhancing the efficacy of secondary control in MGs. 展开更多
关键词 Active power sharing Distributed secondary control Self-triggered mechanism AC microgrid control efficiency
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Variants of Secondary Control with Power Recovery for Loading Hydraulic Driving Device 被引量:4
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作者 LI Wanguo FU Yongling +1 位作者 CHEN Juan QI Xiaoye 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2015年第3期618-633,共16页
Current high power load simulators are generally incapable of obtaining both high loading performance and high energy efficiency. Simulators with high energy efficiency are used to simulate static-state load, and thos... Current high power load simulators are generally incapable of obtaining both high loading performance and high energy efficiency. Simulators with high energy efficiency are used to simulate static-state load, and those with high dynamic performance typically have low energy efficiency. In this paper, the variants of secondary control(VSC) with power recovery are developed to solve this problem for loading hydraulic driving devices that operate under variable pressure, unlike classical secondary control(CSC) that operates in constant pressure network. Hydrostatic secondary control units are used as the loading components, by which the absorbed mechanical power from the tested device is converted into hydraulic power and then fed back into the tested system through 4 types of feedback passages(FPs). The loading subsystem can operate in constant pressure network, controlled variable pressure network, or the same variable pressure network as that of the tested device by using different FPs. The 4 types of systems are defined, and their key techniques are analyzed, including work principle, simulating the work state of original tested device, static operation points, loading performance, energy efficiency, and control strategy, etc. The important technical merits of the 4 schemes are compared, and 3 of the schemes are selected, designed, simulated using AMESim and evaluated. The researching results show that the investigated systems can simulate the given loads effectively, realize the work conditions of the tested device, and furthermore attain a high power recovery efficiency that ranges from 0.54 to 0.85, even though the 3 schemes have different loading performances and energy efficiencies. This paper proposes several loading schemes that can achieve both high dynamic performance and high power recovery efficiency. 展开更多
关键词 load simulator variants of secondary control power recovery efficiency energy regeneration hydraulic driving device SIMULATION A
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Power Control Algorithm of Cognitive Radio Based on Non-Cooperative Game Theory 被引量:4
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作者 赵军辉 杨涛 +2 位作者 贡毅 王娇 付雷 《China Communications》 SCIE CSCD 2013年第11期143-154,共12页
This paper addresses the power con- trol problems of Cognitive Radio (CR) trader transmission power and interference tempera- ture constraints. First, we propose the interfer- ence constraint which ensures that the ... This paper addresses the power con- trol problems of Cognitive Radio (CR) trader transmission power and interference tempera- ture constraints. First, we propose the interfer- ence constraint which ensures that the Quality of Service (QoS) standards for primary users is considered and a non-cooperative game power control model. Based on the proposed model, we developed a logical utility function based on the Signal-to-Interference-Noise Ratio (S/NR) and a novel algorithm network power control. that is suitable for CR Then, the existence and uniqueness of the Nash Equilibrium (NE) in our utility function are proved by the principle of game theory and the corresponding optimi- zations. Compared to traditional algorithms, the proposed one could converge to an NE in 3-5 iterative operations by setting an appropriate pricing factor. Finally, simulation results ver- ified the stability and superiority of the novel algorithm in flat-fading channel environments. 展开更多
关键词 cognitive radio non-cooperativepower control game theory utility function Na-sh equilibrium target power
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Increasing realism in modelling energy losses in railway vehicles and their impact to energy-efficient train control
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作者 Michael Nold Francesco Corman 《Railway Engineering Science》 EI 2024年第3期257-285,共29页
The reduction of energy consumption is an increasingly important topic of the railway system.Energy-efficient train control(EETC)is one solution,which refers to mathematically computing when to accelerate,which cruisi... The reduction of energy consumption is an increasingly important topic of the railway system.Energy-efficient train control(EETC)is one solution,which refers to mathematically computing when to accelerate,which cruising speed to hold,how long one should coast over a suitable space,and when to brake.Most approaches in literature and industry greatly simplify a lot of nonlinear effects,such that they ignore mostly the losses due to energy conversion in traction components and auxiliaries.To fill this research gap,a series of increasingly detailed nonlinear losses is described and modelled.We categorize an increasing detail in this representation as four levels.We study the impact of those levels of detail on the energy optimal speed trajectory.To do this,a standard approach based on dynamic programming is used,given constraints on total travel time.This evaluation of multiple test cases highlights the influence of the dynamic losses and the power consumption of auxiliary components on railway trajectories,also compared to multiple benchmarks.The results show how the losses can make up 50%of the total energy consumption for an exemplary trip.Ignoring them would though result in consistent but limited errors in the optimal trajectory.Overall,more complex trajectories can result in less energy consumption when including the complexity of nonlinear losses than when a simpler model is considered.Those effects are stronger when the trajectory includes many acceleration and braking phases. 展开更多
关键词 Train trajectory optimization Energy-efficient train control(EETC) Dynamic efficiency power losses in railway vehicles
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Development of a power control system for AUVs probing for underwater mineral resources 被引量:1
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作者 Young Jin KIM Hyung Tae KIM +1 位作者 Young June CHO Kang Won LEE 《Journal of Marine Science and Application》 2009年第4期259-266,共8页
Valuable mineral resources are widely distributed throughout the seabed. autonomous underwater vehicles (AUVs) are preferable to remotely-operated vehicles (ROVs) when probing for such mineral resources as the extensi... Valuable mineral resources are widely distributed throughout the seabed. autonomous underwater vehicles (AUVs) are preferable to remotely-operated vehicles (ROVs) when probing for such mineral resources as the extensive exploration area makes it difficult to maintain contact with operators. AUVs depend on batteries, so their power consumption should be reduced to extend exploration time. Power for conventional marine instrument systems is incorporated in their waterproof sealing. External intermittent control of this power source until termination of exploration is challenging due to limitations imposed by the underwater environment. Thus, the AUV must have a power control system that can improve performance and maximize use of battery capacity. The authors developed such a power control system with a three-step algorithm. It automatically detects underwater operational states and can limit power, effectively decreasing power consumption by about 15%. 展开更多
关键词 power control underwater prober submarine mineral resources power efficiency energy saving
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Novel approach to harmonic control for Class F power amplifier with high power added efficiency 被引量:1
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作者 Jin Boshi Wu Qun +1 位作者 Yang Guohui Kim Bumman 《仪器仪表学报》 EI CAS CSCD 北大核心 2007年第7期1176-1179,共4页
This paper presents a new topology to implement Class F power amplifier for eliminating the on-resistance (R_(ON))effect.The time-domain and frequency-domain voltage and current waveforms for Class F amplifier are ana... This paper presents a new topology to implement Class F power amplifier for eliminating the on-resistance (R_(ON))effect.The time-domain and frequency-domain voltage and current waveforms for Class F amplifier are ana- lyzed using Fourier series analysis method.Considering the on-resistance effect,the formulas of the efficiency,output power,dc power dissipation,and fundamental load impedance are given from ideal current and voltage waveforms.For experimental verification,we designed and implemented a Class F power amplifier,which operates at 850 MHz using MGaAs/GaAs Heterostructure FET(HFET)device,and analyzed the measurement results.Test results show that the maximum PAE of 67% can be achieved at 28 dBm output power level. 展开更多
关键词 F类功率放大器 功效 谐波控制 电阻 傅里叶级数
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Self-Powered Active Vibration Control:Concept,Modeling,and Testing
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作者 Jin-Yang Li Songye Zhu 《Engineering》 SCIE EI 2022年第4期126-137,共12页
Despite their superior control performance,active vibration control techniques cannot be widely used in some engineering fields because of their substantial power demand in controlling large-scale structures.As an inn... Despite their superior control performance,active vibration control techniques cannot be widely used in some engineering fields because of their substantial power demand in controlling large-scale structures.As an innovative solution to this problem,an unprecedented self-powered active vibration control system was developped in this study.The topological design,working mechanism,and power flow of the proposed system are presented herein.The self-powering ability of the system was confirmed based on a detailed power flow analysis of vibration control processes.A self-powered actively controlled actuator was designed and applied to a scaled active vibration isolation table.The feasibility and effectiveness of the innovative system were successfully validated through a series of analytical,numerical,and experimental investigations.The setup and control strategy of the proposed system can be readily extended to diversified active vibration control applications in various engineering fields. 展开更多
关键词 Self-powered active vibration control Energy harvesting Skyhook control power equilibrium Smart control
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Controlling chaos in power system based on finite-time stability theory 被引量:5
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作者 赵辉 马亚军 +2 位作者 刘思佳 高士根 钟丹 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第12期101-108,共8页
Recent investigations show that a power system is a highly nonlinear system and can exhibit chaotic behaviour leading to a voltage collapse, which severely threatens the secure and stable operation of the power system... Recent investigations show that a power system is a highly nonlinear system and can exhibit chaotic behaviour leading to a voltage collapse, which severely threatens the secure and stable operation of the power system. Based on the finite-time stability theory, two control strategies are presented to achieve finite-time chaos control. In addition, the problem of how to stabilize an unstable nonzero equilibrium point in a finite time is solved by coordinate transformation for the first time. Numerical simulations are presented to demonstrate the effectiveness and the robustness of the proposed scheme. The research in this paper may help to maintain the secure operation of power systems. 展开更多
关键词 power system chaos control finite-time stability stabilize unstable nonzero equilibrium point robust controller
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Design of a High Efficiency Boost DC-DC Converter 被引量:3
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作者 高静 姚素英 +1 位作者 徐江涛 史再峰 《Transactions of Tianjin University》 EI CAS 2009年第5期350-354,共5页
An accurate circuit of PWM/PFM mode converting and a circuit of auto-adaptively adjusting dimension of power transistor are described.The duty cycle of the signal when the control mode converts can be gained accuratel... An accurate circuit of PWM/PFM mode converting and a circuit of auto-adaptively adjusting dimension of power transistor are described.The duty cycle of the signal when the control mode converts can be gained accurately by using ratios of currents and capacitances,and an optimal dimension of power transistor is derived with different loads.The converter is designed by 0.35μm standard CMOS technology.Simulation results indicate that the converter starts work at 0.8 V input voltage.Combined with synchronized rectification,the transfer efficiency is higher than 90%with full load range,and achieves 97.5%at rating output. 展开更多
关键词 control mode power transistor synchronized rectification efficiency
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Numerical Simulation and Experimental Identification of Divertor Configuration in the HL-2A Tokamak 被引量:1
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作者 严龙文 张锦华 +6 位作者 袁保山 杨青巍 李芳著 洪文玉 刘莉 郑银甲 刘永 《Plasma Science and Technology》 SCIE EI CAS CSCD 2005年第3期2797-2800,共4页
Single- and double-null divertor configurations in HL-2A are simulated by SWEQU equilibrium code. Lower divertor discharges in the first physics campaign have been achieved by two kinds of power supply method of multi... Single- and double-null divertor configurations in HL-2A are simulated by SWEQU equilibrium code. Lower divertor discharges in the first physics campaign have been achieved by two kinds of power supply method of multipole-field coils. Single-null divertor configuration has been identified by visible photography, target probe arrays and the reconstructed magnetic surface. Magnetic separatrix and minor radius of plasma column are obtained by a reconstructed code of multiple current filaments using 18 Mirnov signals. 展开更多
关键词 equilibrium DIVERTOR configuration control power supply
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Energy Efficiency Optimization for D2D Communications Based on SCA and GP Method 被引量:3
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作者 Xiaozheng Gao Hangcheng Han +1 位作者 Kai Yang Jianping An 《China Communications》 SCIE CSCD 2017年第3期66-74,共9页
In this paper, we propose an energy-efficient power control scheme for device-to-device(D2D) communications underlaying cellular networks, where multiple D2D pairs reuse the same resource blocks allocated to one cellu... In this paper, we propose an energy-efficient power control scheme for device-to-device(D2D) communications underlaying cellular networks, where multiple D2D pairs reuse the same resource blocks allocated to one cellular user. Taking the maximum allowed transmit power and the minimum data rate requirement into consideration, we formulate the energy efficiency maximization problem as a non-concave fractional programming(FP) problem and then develop a two-loop iterative algorithm to solve it. In the outer loop, we adopt Dinkelbach method to equivalently transform the FP problem into a series of parametric subtractive-form problems, and in the inner loop we solve the parametric subtractive problems based on successive convex approximation and geometric programming method to obtain the solutions satisfying the KarushKuhn-Tucker conditions. Simulation results demonstrate the validity and efficiency of the proposed scheme, and illustrate the impact of different parameters on system performance. 展开更多
关键词 device-to-device(D2D) communications power control energy efficiency(EE) successive convex approximation(SCA) geometric programming(GP)
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A novel fractional uplink power control framework for self-organizing networks
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作者 Zezhou Luo Hongcheng Zhuang 《Digital Communications and Networks》 SCIE CSCD 2023年第6期1434-1440,共7页
Internet of things and network densification bring significant challenges to uplink management.Only depending on optimization algorithm enhancements is not enough for uplink transmission.To control intercell interfere... Internet of things and network densification bring significant challenges to uplink management.Only depending on optimization algorithm enhancements is not enough for uplink transmission.To control intercell interference,Fractional Uplink Power Control(FUPC)should be optimized from network-wide perspective,which has to find a better traffic distribution model.Conventionally,traffic distribution is geographic-based,and ineffective due to tricky locating efforts.This paper proposes a novel uplink power management framework for Self-Organizing Networks(SON),which firstly builds up pathloss-based traffic distribution model and then makes the decision of FUPC based on the model.PathLoss-based Traffic Distribution(PLTD)aggregates traffic based on the propagation condition of traffic that is defined as the pathloss between the position generating the traffic and surrounding cells.Simulations show that the improvement in optimization efficiency of FUPC with PLTD can be up to 40%compared to conventional GeoGraphic-based Traffic Distribution(GGTD). 展开更多
关键词 5G and beyond Self-organizing networks Uplink power control Optimization efficiency Traffic distribution
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A Cross Layer Optimization Based on Variable-Power AMC and ARQ for MIMO Systems
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作者 Shu-Ming Tseng Wei-Shun Lei 《International Journal of Communications, Network and System Sciences》 2010年第5期488-493,共6页
To improve spectrum efficiency (SE), the adaptive modulation and coding (AMC) and automatic repeat request (ARQ) scheme have been combined for MIMO systems. In this paper, we add variable power subject to power constr... To improve spectrum efficiency (SE), the adaptive modulation and coding (AMC) and automatic repeat request (ARQ) scheme have been combined for MIMO systems. In this paper, we add variable power subject to power constraint in each AMC mode. We use KKT optimization algorithm to get the optimal transmit power and AMC mode boundaries. The numerical results show that the average SE is increased by about 0.5 bps/Hz for 2 &#215;2 MIMO systems with Nakagami fading with parameter m = 2 when SNR is around 15 dB and the ARQ retransmission is twice. 展开更多
关键词 TRANSMITTER power control SPECTRUM efficiency
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Improved Efficiency Test Method for the Motor Controller with SiC MOSFETs
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作者 Wei Wang Qiang Song +1 位作者 Yiting Li Mukhtiar Ahmad 《Journal of Beijing Institute of Technology》 EI CAS 2020年第3期294-302,共9页
The traditional measurement method was inaccurate to evaluate the motor controller efficiency,which the measurement efficiency value could be more than 100%in practical testing experiments.To deal with this issue,an i... The traditional measurement method was inaccurate to evaluate the motor controller efficiency,which the measurement efficiency value could be more than 100%in practical testing experiments.To deal with this issue,an improved electrical measurement method for the motor controller efficiency is proposed in this paper,which is established by analyzing the power loss distribution and phase currents of the motor controller.It is demonstrated that the SiC MOSFET chips are the main power loss devices in the motor controller,accounting for more than 93.1%of the total power loss.The accuracy of the proposed method is compared with the traditional method in simulation.It shows that the test error of the efficiency obtained by the traditional method fluctuates on a large scale,which varied from 0.094%to 1.911%.Compared with the traditional method,the test error of the proposed method appears to be less than 0.083%,which provides significant guidance for the motor controller efficiency test and design. 展开更多
关键词 electrical measurement method motor controller efficiency power loss distribution SiC MOSFET
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Enhanced Perturb and Observe Control Algorithm for a Standalone Domestic Renewable Energy System
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作者 N.Kanagaraj Obaid Martha Aldosary +1 位作者 M.Ramasamy M.Vijayakumar 《Intelligent Automation & Soft Computing》 SCIE 2023年第8期2291-2306,共16页
The generation of electricity,considering environmental and eco-nomic factors is one of the most important challenges of recent years.In this article,a thermoelectric generator(TEG)is proposed to use the thermal energ... The generation of electricity,considering environmental and eco-nomic factors is one of the most important challenges of recent years.In this article,a thermoelectric generator(TEG)is proposed to use the thermal energy of an electric water heater(EWH)to generate electricity independently.To improve the energy conversion efficiency of the TEG,a fuzzy logic con-troller(FLC)-based perturb&observe(P&O)type maximum power point tracking(MPPT)control algorithm is used in this study.An EWH is one of the major electricity consuming household appliances which causes a higher electricity price for consumers.Also,a significant amount of thermal energy generated by EWH is wasted every day,especially during the winter season.In recent years,TEGs have been widely developed to convert surplus or unused thermal energy into usable electricity.In this context,the proposed model is designed to use the thermal energy stored in the EWH to generate electricity.In addition,the generated electricity can be easily stored in a battery storage system to supply electricity to various household appliances with low-power-consumption.The proposed MPPT control algorithm helps the system to quickly reach the optimal point corresponding to the maximum power output and maintains the system operating point at the maximum power output level.To validate the usefulness of the proposed scheme,a study model was developed in the MATLAB Simulink environment and its performance was investigated by simulation under steady state and transient conditions.The results of the study confirmed that the system is capable of generating adequate power from the available thermal energy of EWH.It was also found that the output power and efficiency of the system can be improved by maintaining a higher temperature difference at the input terminals of the TEG.Moreover,the real-time temperature data of Abha city in Saudi Arabia is considered to analyze the feasibility of the proposed system for practical implementation. 展开更多
关键词 Perturb and observe control algorithm fuzzy logic controller energy conversion efficiency maximum power point tracking thermoelectric generator
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Energy efficiency optimization of relay-assisted D2D two-way communications with SWIPT
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作者 HE Jiai CHEN Yanjiao WANG Tong 《High Technology Letters》 EI CAS 2022年第3期252-258,共7页
Aiming at the energy consumption of long-distance device-to-device(D2D) devices for two-way communications in a cellular network,this paper proposes a strategy that combines two-way relay technology(TWRT) and simultan... Aiming at the energy consumption of long-distance device-to-device(D2D) devices for two-way communications in a cellular network,this paper proposes a strategy that combines two-way relay technology(TWRT) and simultaneous wireless information and power transfer(SWIPT) technology to achieve high energy efficiency(EE) communication.The scheme first establishes a fractional programming problem to maximize EE of D2D,and transforms it into a non-fractional optimization problem that can be solved easily.Then the problem is divided into three sub-problems:power control,power splitting ratios optimization,and relay selection.In order to maximize EE of the D2D pair,the Dinkelbach iterative algorithm is used to optimize the transmitted power of two D2D devices simultaneously;the one-dimensional search algorithm is proposed to optimize power splitting ratios;an improved optimal relay selection scheme based on EE is proposed to select relay.Finally,experiments are carried out on the Matlab simulation platform.The simulation results show that the proposed algorithm has faster convergence.Compared with the one-way relay transmission and fixed relay algorithms,the proposed scheme has higher EE. 展开更多
关键词 device-to-device(D2D) energy efficiency(EE) simultaneous wireless information and power transfer(SWIPT) two-way communications power control relay selection
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Dynamic Power Dissipation Control Method for Real-Time Processors Based on Hardware Multithreading
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作者 罗新强 齐悦 +1 位作者 王磊 王沁 《China Communications》 SCIE CSCD 2013年第5期156-166,共11页
In order to eliminate the energy waste caused by the traditional static hardware multithreaded processor used in real-time embedded system working in the low workload situation, the energy efficiency of the hardware m... In order to eliminate the energy waste caused by the traditional static hardware multithreaded processor used in real-time embedded system working in the low workload situation, the energy efficiency of the hardware multithread is discussed and a novel dynamic multithreaded architecture is proposed. The proposed architecture saves the energy wasted by removing idle threads without manipulation on the original architecture, fulfills a seamless switching mechanism which protects active threads and avoids pipeline stall during power mode switching. The report of an implemented dynamic multithreaded processor with 45 nm process from synthesis tool indicates that the area of dynamic multithreaded architecture is only 2.27% higher than the static one in achieving dynamic power dissipation, and consumes 1.3% more power in the same peak performance. 展开更多
关键词 dynamic power dissipation control real-time processor hardware multithread low power design energy efficiency
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Transfer efficiency optimal control of magnetic resonance coupled system of wireless power transfer based on frequency control 被引量:41
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作者 TAN LinLin HUANG XueLiang +2 位作者 HUANG Hui ZOU YuWei LI Hui 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第6期1428-1434,共7页
In order to suppress the fast decrease of the transfer efficiency of magnetic resonance coupled wireless power transfer system(MRCWPTS) with distance increase,this paper investigates the impact factors of the system t... In order to suppress the fast decrease of the transfer efficiency of magnetic resonance coupled wireless power transfer system(MRCWPTS) with distance increase,this paper investigates the impact factors of the system transfer efficiency and is,then formulates a new efficiency optimal control method based on frequency control.Based upon this control method two optimal control schemes are designed to achieve transfer efficiency control of the system.Simulations and experiments show that the proposed efficiency optimal control method can effectively stabilize the system transfer efficiency in a certain range so as to successfully solve the subtle issue of transfer efficiency variation with distance. 展开更多
关键词 magnetic coupling frequency control efficiency optimal wireless power transfer
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Research on Energy Conversion System of Floating Wave Energy Converter 被引量:6
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作者 张亚群 盛松伟 +2 位作者 游亚戈 吴必军 刘洋 《China Ocean Engineering》 SCIE EI CSCD 2014年第1期105-113,共9页
A wave power device includes an energy harvesting system and a power take-off system. The power take-off system of a floating wave energy device is the key that converts wave energy into other forms. A set of hydrauli... A wave power device includes an energy harvesting system and a power take-off system. The power take-off system of a floating wave energy device is the key that converts wave energy into other forms. A set of hydraulic power take-off system, which suits for the floating wave energy devices, includes hydraulic system and power generation system. The hydraulic control system uses a special“self-hydraulic control system”to control hydraulic system to release or save energy under the maximum and the minimum pressures. The maximum pressure is enhanced to 23 MPa, the minimum to 9 MPa. Quite a few experiments show that the recent hydraulic system is evidently improved in efficiency and reliability than our previous one, that is expected to be great significant in the research and development of our prototype about wave energy conversion. 展开更多
关键词 hydraulic power take-off system (PTO) second transfers conversion efficiency hydraulic control
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Energy efficient resource allocation in non-cooperative multi-cell OFDMA systems 被引量:5
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作者 Guopeng Zhang Peng Liu Enjie Ding 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2011年第1期175-182,共8页
A non-cooperative game is proposed to perform the sub-carrier assignment and power allocation for the multi-cell orthogonal frequency division multiple access(OFDMA) system.The objective is to raise the spectral eff... A non-cooperative game is proposed to perform the sub-carrier assignment and power allocation for the multi-cell orthogonal frequency division multiple access(OFDMA) system.The objective is to raise the spectral efficiency of the system and prolong the life time of user nodes.This paper defines a game player as a cell formed by the unique base station and the served users.The utility function considered here measures the user's achieved utility per power.Each individual cell's goal is to maximize the total utility of its users.To search the Nash equilibrium(NE) of the game,an iterative and distributed algorithm is presented.Since the NE is inefficient,the pricing of user's transmission power is introduced to improve the NE in the Pareto sense.Simulation results show the proposed game outperforms the water-filling algorithm in terms of fairness and energy efficiency.Moreover,through employing a liner pricing function,the energy efficiency could be further improved. 展开更多
关键词 orthogonal frequency division multiple access(ofDMA) power control spectrum allocation game theory Nash equilibrium(NE).
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