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Research on a New Control Strategy of Three Phase Inverter for Unbalanced Loads
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作者 Wenhua HU Weiming Ma Chunxi LIU 《Journal of Electromagnetic Analysis and Applications》 2010年第1期39-44,共6页
One of the very important functions of three-phase inverter is to maintain the symmetric three-phase output voltage when the three-phase loads are unbalanced. Although the traditional symmetrical component decomposing... One of the very important functions of three-phase inverter is to maintain the symmetric three-phase output voltage when the three-phase loads are unbalanced. Although the traditional symmetrical component decomposing and superimpose theory can keep the voltage balance through compensating the positive-, negative- and zero-sequence components of the output voltage of inverter, however, this method is time-consuming and not suitable for control. Aiming at high power medium frequency inverter source, a P+Resonant (Proportion and Resonant) controller which ensured a balanced three phase output voltage under unbalanced load is proposed in this paper. The regulator was proved to be applicable to both three-phase three-wire system and three-phase four-wire system and developed two methods of realization. The simulation results verified that this method can suppressed effectively the output voltage distorted caused by the unbalanced load and attained a high quality voltage waveforms. 展开更多
关键词 THREE-PHASE INVERTER unbalanced load the THREE-PHASE OUTPUT Voltage SYMMETRIC Medium Frequency P+Resonant CONTROLLER
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Energy-balanced clustering protocol for data gathering in wireless sensor networks with unbalanced traffic load 被引量:1
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作者 奎晓燕 王建新 张士庚 《Journal of Central South University》 SCIE EI CAS 2012年第11期3180-3187,共8页
Energy-efficient data gathering in multi-hop wireless sensor networks was studied,considering that different node produces different amounts of data in realistic environments.A novel dominating set based clustering pr... Energy-efficient data gathering in multi-hop wireless sensor networks was studied,considering that different node produces different amounts of data in realistic environments.A novel dominating set based clustering protocol (DSCP) was proposed to solve the data gathering problem in this scenario.In DSCP,a node evaluates the potential lifetime of the network (from its local point of view) assuming that it acts as the cluster head,and claims to be a tentative cluster head if it maximizes the potential lifetime.When evaluating the potential lifetime of the network,a node considers not only its remaining energy,but also other factors including its traffic load,the number of its neighbors,and the traffic loads of its neighbors.A tentative cluster head becomes a final cluster head with a probability inversely proportional to the number of tentative cluster heads that cover its neighbors.The protocol can terminate in O(n/lg n) steps,and its total message complexity is O(n2/lg n).Simulation results show that DSCP can effectively prolong the lifetime of the network in multi-hop networks with unbalanced traffic load.Compared with EECT,the network lifetime is prolonged by 56.6% in average. 展开更多
关键词 无线传感器网络 负载不平衡 数据收集 数据流量 协议 能量均衡 延长使用寿命 群集
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Unbalanced Load Simulation of Electronic Power Transformer in Distribution System
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作者 Wang Dan Mao Chengxiong +3 位作者 Lu Jiming Fan Shu Cao Jiewei Wang Ben(Translated) 《Electricity》 2006年第1期38-43,共6页
A control scheme of electronic power transformer (EPT) in a three-phase four-wire distribution system, which included an input section, an isolating section and an output section, was researched under unbalanced loads... A control scheme of electronic power transformer (EPT) in a three-phase four-wire distribution system, which included an input section, an isolating section and an output section, was researched under unbalanced loads. The simple and appropriate control scheme was developed through analyzing the system requirements of the primary side and the load requirements of the secondary side. In the input section, a dual-loop control in synchronous rotating d-q coordinates was introduced, and in the output section, a dual-loop control based on instantaneous output voltage was used. Load characteristics of EPT were investigated by using Matlab/Simulink software. Simulation results showed that, with the proposed control scheme, the EPT has good performances and the sinusoidal input current and constant output voltage can be realized under both balanced and unbalanced loads. 展开更多
关键词 电力变压器 负荷分配 负荷分析 数值模拟
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NON-LINEAR DYNAMIC BEHAVIOR OF THERMOELASTIC CIRCULAR PLATE WITH VARYING THICKNESS SUBJECTED TO NONCONSERVATIVE LOADING 被引量:2
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作者 WANG Zhongmin GAO Jingbo +1 位作者 LIHuixia LIU Hongzhao 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2008年第5期65-69,共5页
The non-linear dynamic behaviors of thermoelastic circular plate with varying thickness subjected to radially uniformly distributed follower forces are considered. Two coupled non-linear differential equations of moti... The non-linear dynamic behaviors of thermoelastic circular plate with varying thickness subjected to radially uniformly distributed follower forces are considered. Two coupled non-linear differential equations of motion for this problem are derived in terms of the transverse deflection and radial displacement component of the mid-plane of the plate. Using the Kantorovich averaging method, the differential equation of mode shape of the plate is derived, and the eigenvalue problem is solved by using shooting method. The eigencurves for frequencies and critical loads of the circular plate with unmovable simply supported edge and clamped edge are obtained. The effects of the variation of thickness and temperature on the frequencies and critical loads of the thermoelastic circular plate subjected to radially uniformly distributed follower forces are then discussed. 展开更多
关键词 non-linear vibration Circular plate with varying thickness Thermal loading Follower force Shooting method
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Load Frequency Control of Small Hydropower Plants Using One-Input Fuzzy PI Controller with Linear and Non-Linear Plant Model 被引量:2
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作者 Derek Ajesam Asoh Edwin Nyuysever Mbinkar Albert Nouck Moutlen 《Smart Grid and Renewable Energy》 2022年第1期1-16,共16页
<span style="font-family:Verdana;">This study presents an intelligent approach for load frequency control (LFC) of small hydropower plants (SHPs). The approach which is based on fuzzy logic (FL), takes... <span style="font-family:Verdana;">This study presents an intelligent approach for load frequency control (LFC) of small hydropower plants (SHPs). The approach which is based on fuzzy logic (FL), takes into account the non-linearity of SHPs—something which is not possible using traditional controllers. Most intelligent methods use two-</span><span style="font-family:;" "=""> </span><span style="font-family:;" "=""><span style="font-family:Verdana;">input fuzzy controllers, but because such controllers are expensive, there is </span><span style="font-family:Verdana;">economic interest in the relatively cheaper single-input controllers. A n</span><span style="font-family:Verdana;">on-</span></span><span style="font-family:;" "=""> </span><span style="font-family:Verdana;">linear control model based on one-input fuzzy logic PI (FLPI) controller was developed and applied to control the non-linear SHP. Using MATLAB/Si</span><span style="font-family:Verdana;">- </span><span style="font-family:Verdana;">mulink SimScape, the SHP was simulated with linear and non-linear plant models. The performance of the FLPI controller was investigated and compared with that of the conventional PI/PID controller. Results show that the settling time for the FLPI controller is about 8 times shorter;while the overshoot is about 15 times smaller compared to the conventional PI/PID controller. Therefore, the FLPI controller performs better than the conventional PI/PID controller not only in meeting the LFC control objective but also in ensuring increased dynamic stability of SHPs.</span> 展开更多
关键词 Small Hydropower Plant Linear and non-linear Model load Frequency Control non-linear Control Fuzzy Logic Controller Renewable Energy
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基于深度学习的配电网三相不平衡负载自动控制方法
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作者 王峰 《自动化应用》 2024年第3期188-190,共3页
常规的配电网三相不平衡负载控制,更多采用负载监测进行控制,导致控制结果的网损降低量较小。为此,提出了基于深度学习的配电网三相不平衡负载自动控制方法。分析配电网三相拓扑结构的电流补偿能力,并计算三相不平衡度及负载率,根据计... 常规的配电网三相不平衡负载控制,更多采用负载监测进行控制,导致控制结果的网损降低量较小。为此,提出了基于深度学习的配电网三相不平衡负载自动控制方法。分析配电网三相拓扑结构的电流补偿能力,并计算三相不平衡度及负载率,根据计算结果判定配电网的三相状态,采用深度学习预测三相状态,并根据期望回报计算负载控制的补偿值,实现自动控制。结果表明,应用该方法后得出的控制结果表现出的网损降低量较高,均值为0.376 kW,控制效果较优,满足配电网的现实运行需求。 展开更多
关键词 深度学习 配电网 三相不平衡 负载控制
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永磁无刷轮毂电机轮对系统同步工况下的协调控制策略
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作者 杨东旭 贾少锋 +1 位作者 梁得亮 冯帅 《中国电机工程学报》 EI CSCD 北大核心 2024年第6期2418-2427,I0028,共11页
针对双轮毂电机在负载不平衡工况下转速同步精度不够及同步响应速度不快的问题,该文提出速度环补偿PID交叉耦合同步控制和电流环补偿PID交叉耦合同步控制策略。首先,建立双轮毂电机的数学模型,采用双闭环六步方波控制。基于该模型,采用... 针对双轮毂电机在负载不平衡工况下转速同步精度不够及同步响应速度不快的问题,该文提出速度环补偿PID交叉耦合同步控制和电流环补偿PID交叉耦合同步控制策略。首先,建立双轮毂电机的数学模型,采用双闭环六步方波控制。基于该模型,采用速度环补偿PID交叉耦合同步控制代替单增益交叉耦合控制器,使转速同步调节精度提升。在两侧电机负载不平衡工况下,用电流环补偿PID交叉耦合控制方法进一步提升转速同步精度,同时加快同步响应速度,并兼顾了转矩精度。仿真和实验验证了所提控制策略的正确性和有效性。 展开更多
关键词 双轮毂电机 负载不平衡工况 同步运行 电流环补偿PID控制 交叉耦合控制
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风机独立变桨减载模型预测控制研究
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作者 孔维杰 秦斌 王欣 《电工技术》 2024年第4期17-21,共5页
针对风力发电机组在额定风速以上运行时承受的不平衡载荷波动问题,提出了一种基于状态空间模型的独立变桨模型预测控制策略。首先基于风机仿真软件FAST对风电机组非线性系统线性化;然后将建立的线性时不变(LTI)模型与非线性风机系统对... 针对风力发电机组在额定风速以上运行时承受的不平衡载荷波动问题,提出了一种基于状态空间模型的独立变桨模型预测控制策略。首先基于风机仿真软件FAST对风电机组非线性系统线性化;然后将建立的线性时不变(LTI)模型与非线性风机系统对比验证预测模型的拟合度;最后建立FAST-MATLAB联合仿真的NREL5MW风机模型,在湍流风模式下进行仿真。所提出的控制策略与传统PI控制策略相比,在稳定功率的前提下有效地减少了不平衡载荷,提高了风电机组运行稳定性。 展开更多
关键词 风电机组 模型预测控制 功率波动 独立变桨 不平衡载荷
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非平衡荷载下城市轨道交通车站深基坑变形特性分析
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作者 刘涛 姜磊 +2 位作者 王申 彭红国 李岩 《城市轨道交通研究》 北大核心 2024年第3期59-64,69,共7页
[目的]目前城市轨道交通非平衡荷载作用导致的地下工程病害、事故逐渐增多。为了解非平衡荷载对城市轨道交通车站深基坑变形的不利影响,减小施工风险,需要对该类型荷载作用下车站深基坑变形特性进行分析。[方法]基于理论分析和现场监测... [目的]目前城市轨道交通非平衡荷载作用导致的地下工程病害、事故逐渐增多。为了解非平衡荷载对城市轨道交通车站深基坑变形的不利影响,减小施工风险,需要对该类型荷载作用下车站深基坑变形特性进行分析。[方法]基于理论分析和现场监测数据,研究了非平衡荷载下城市轨道交通车站深基坑的变形特性,分析了围护桩变形、深层土体水平位移及地面沉降的变化规律,探讨了围护桩变形同深层土体水平位移、地面沉降及开挖深度之间的关系。[结果及结论]围护桩水平位移曲线呈鱼腹状,且地层条件对围护桩变形影响明显;围护桩变形和深层土体水平位移大致呈线性关系,其中经验系数取1.30;由于偏载作用,深基坑周边地面沉降较大,围护桩最大水平位移δ_(hm)与地面最大沉降δ_(vm)存在δ_(vm)=(0.9~3.0)δ_(hm)的关系,且两者之间的比例系数大于对称荷载作用下的数值;岩层较强的抵抗变形能力限制了围护桩变形,δ_(hm)与H_(e)存在δ_(hm)=(0.009%~0.060%)H_(e)的关系,且两者之间的比例系数小于对称荷载作用下的数值;深基坑施工对周边环境影响区域主要划分为1区(主要影响区)、2区(次要影响区)和3区(无影响区),基坑施工影响区域约为(0~2.5)H_(e)。 展开更多
关键词 城市轨道交通 车站 深基坑 变形特性 非平衡荷载
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不平衡负载下并网逆变器功率解耦控制方法
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作者 董燕丽 刘攀 赵晓艳 《电子器件》 CAS 2024年第2期404-409,共6页
为了解决并网逆变器在不平衡负载下有功功率和无功功率为耦合影响状态、关联复杂,导致控制精度不佳、响应慢等问题,提出不平衡负载下并网逆变器功率解耦控制方法。根据并网逆变器拓扑结构获取并网逆变器功率,对并网逆变器有功功率与无... 为了解决并网逆变器在不平衡负载下有功功率和无功功率为耦合影响状态、关联复杂,导致控制精度不佳、响应慢等问题,提出不平衡负载下并网逆变器功率解耦控制方法。根据并网逆变器拓扑结构获取并网逆变器功率,对并网逆变器有功功率与无功功率实行解耦,并通过带比例系数的双闭环功率控制器,完成并网逆变器功率解耦控制。在此基础上,通过遗传算法进行控制参数优化,获取比例系数的最优解,进一步提高并网逆变器功率解耦控制能力。实验结果表明:解耦后的控制方法在并网逆变器响应功率与给定功率上基本一致,解耦后的功率波动范围降低了8 kW,功率控制电流和功率波动最小,具有良好的控制效果。 展开更多
关键词 不平衡负载 并网逆变器 遗传算法 功率解耦控制 双闭环控制器
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基于改进TPDS长阵列的车辆超偏载检测研究
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作者 王萌 苏玉东 范帆 《计算机测量与控制》 2024年第5期53-59,共7页
由于车辆超偏载检测过程中,受天气、路况等因素以及车辆行驶状态影响,导致信号组成的阵列过短,利用传统的TPDS车辆超偏载检测精度较低、耗时较长;提出基于改进TPDS长阵列的车辆超偏载检测研究;通过车辆运行品质轨边动态监测系统,利用测... 由于车辆超偏载检测过程中,受天气、路况等因素以及车辆行驶状态影响,导致信号组成的阵列过短,利用传统的TPDS车辆超偏载检测精度较低、耗时较长;提出基于改进TPDS长阵列的车辆超偏载检测研究;通过车辆运行品质轨边动态监测系统,利用测距传感器与数据采集仪将力学信号转换成电压信号,将其组合为长阵列输入到系统的测距传感器中;采用EDM算法对长阵列中的噪声点实施消除处理;将4个测距传感器安置到货运车辆底部,采用货运车辆动态称重方法,计算车辆上各弹簧组承载力的总和,并结合车辆有用信号,对车辆的载重情况展开测量,实现对车辆的超偏载检测;实验结果表明,利用长阵列改进TPDS系统后,其去噪效果好,在载重测量时,测量误差在5%以内,且平均耗时低、称重合格概率高,表明所提方法的测量精度、检测效率以及检测稳定性高。 展开更多
关键词 TPDS 长阵列 EDM 测距传感器 车辆超偏载检测系统
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基于C.P.Steinmetz平衡化原理PI控制方法的SVC系统研究
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作者 周斌 李博 《变频器世界》 2024年第4期77-81,共5页
瞬时电流控制补偿策略来实现三相平衡化和功率因数的补偿,从理论上分析了这种方法的正确性;然后,用MATLAB/Simulink进行了仿真,通过仿真和实验发现,静止无功补偿控制系统具有一定的合理性和先进性,能够达到较快的响应和较好的补偿精度,... 瞬时电流控制补偿策略来实现三相平衡化和功率因数的补偿,从理论上分析了这种方法的正确性;然后,用MATLAB/Simulink进行了仿真,通过仿真和实验发现,静止无功补偿控制系统具有一定的合理性和先进性,能够达到较快的响应和较好的补偿精度,可实现对三相不平衡负载的快速动态无功补偿,达到了预期的补偿效果。 展开更多
关键词 SVC 不平衡负载补偿 模拟与实验
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上海轨道交通客流不均衡特征分析
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作者 臧臣 《计算机应用文摘》 2024年第4期111-113,共3页
文章立足于上海轨道交通大客流管理的实际情况,以客流的宏观特性和微观特性为切入点,研究了客流不均衡的主要区段和产生原因,并对某连续三年进出站客流和重点车站客流增长的数据进行了分析,对缓解客流不均衡的可行性进行了论证。研究发... 文章立足于上海轨道交通大客流管理的实际情况,以客流的宏观特性和微观特性为切入点,研究了客流不均衡的主要区段和产生原因,并对某连续三年进出站客流和重点车站客流增长的数据进行了分析,对缓解客流不均衡的可行性进行了论证。研究发现,高峰时段的前后邻近时间段内存在较大的满载率和运力余量,采取弹性票价、换乘引导等措施将客流不均衡区段进行转移在理论上是可行的。 展开更多
关键词 上海轨道交通 客流不均衡 客流特性 满载率
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新能源游船直流微电网系统无差拍预测电压控制策略研究
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作者 梁锡凡 王跃 +2 位作者 付建国 周振邦 童子威 《控制与信息技术》 2024年第2期89-93,共5页
基于光伏、储能技术混合供电的直流微电网系统被广泛应用于新能源游船。针对其日用负荷供电变流器接入不平衡负荷或者单相负荷时出现的供电电压不平衡问题,文章提出一种基于输出电压正负序分离的无差拍预测电压控制策略,在正负序坐标系... 基于光伏、储能技术混合供电的直流微电网系统被广泛应用于新能源游船。针对其日用负荷供电变流器接入不平衡负荷或者单相负荷时出现的供电电压不平衡问题,文章提出一种基于输出电压正负序分离的无差拍预测电压控制策略,在正负序坐标系下分别实现供电变流器电压正负序分量控制,保证供电变流器输出三相电压平衡,增强系统对不平衡负荷的抗干扰能力,避免增加额外的电能质量治理装置。仿真结果表明,采用所提无差拍预测电压控制策略后,直流微电网的日用负荷供电变流器电压不平衡度从28%降低到0.5%以下,验证了所提控制算法的有效性。 展开更多
关键词 直流微电网 新能源游船 供电变流器 不平衡负荷 无差拍预测控制
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仪表着陆系统机房零地电压偏高问题分析与整改
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作者 康天桂 罗诗雨 《电气开关》 2024年第1期101-103,共3页
仪表着陆系统(ILS)是航空器起飞、降落过程中提供下滑道、航向道等重要引导信号的导航设备,珠海空管站05号和23号仪表着陆系统设备为珠海机场航班安全进近和着陆扮演着至关重要的角色,其机房供配电直接关系到民航空管安全。结合仪表着... 仪表着陆系统(ILS)是航空器起飞、降落过程中提供下滑道、航向道等重要引导信号的导航设备,珠海空管站05号和23号仪表着陆系统设备为珠海机场航班安全进近和着陆扮演着至关重要的角色,其机房供配电直接关系到民航空管安全。结合仪表着陆系统05号下滑台机房零地电压偏高问题,探究零地电压产生的原因、零地电压过高的影响、排查手段及防控措施,为解决类似问题提供参考。 展开更多
关键词 零地电压 不平衡电流 三相负载平衡 TN-C-S系统 接地系统
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离网型三相四桥臂逆变器在不平衡负载下的控制策略研究
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作者 卜慎慎 《通信与信息技术》 2024年第2期59-63,共5页
针对离网工况下带不平衡负载时引起的波动,利用三相四桥臂拓扑结构在不平衡系统应用中的优势,结合虚拟同步机控制策略,采用基于全通滤波器的正负序分离方法进行控制。针对真实输出的有功功率对功频调节器产生波动及多逆变器并联时功率... 针对离网工况下带不平衡负载时引起的波动,利用三相四桥臂拓扑结构在不平衡系统应用中的优势,结合虚拟同步机控制策略,采用基于全通滤波器的正负序分离方法进行控制。针对真实输出的有功功率对功频调节器产生波动及多逆变器并联时功率均分及环流抑制效果较差的问题,引入虚拟阻抗,改进了基于正负序分离的虚拟同步机并联预同步控制策略。结果表明,所提控制策略器能够在负载不平衡的情况下维持输出电压的平衡,提高了功率均分精度,使环流得到抑制,增强离网条件下的运行性能。 展开更多
关键词 不平衡负载 三相四桥臂拓扑结构 虚拟同步机 虚拟阻抗 并联预同步
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低压配电变压器三相负荷不平衡下的线损率小生境遗传分析算法
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作者 石刚 刘刚 李威 《电工技术》 2024年第5期72-75,78,共5页
三相负荷不平衡是导致线损率增长的主要原因,因此解决了三相负荷不平衡问题就能从根本上将线损控制在允许范围内,实现有效降损。在此背景下,针对传统遗产算法应用效果差的问题,研究一种低压配电变压器三相负荷不平衡下的线损率小生境遗... 三相负荷不平衡是导致线损率增长的主要原因,因此解决了三相负荷不平衡问题就能从根本上将线损控制在允许范围内,实现有效降损。在此背景下,针对传统遗产算法应用效果差的问题,研究一种低压配电变压器三相负荷不平衡下的线损率小生境遗传分析算法。利用均方根电流法计算三相电能损耗并计算其占据供电负荷的比例,得出线损率。结合线损数值,构建换相成本最小化目标函数,利用小生境遗传分析算法求解约束条件下的最优换相方案,通过换相调整,促进低压配电变压器三相负荷平衡化,实现降损。测试结果表明:与换相前相比,换相调整后的低压配电变压器三相负荷不平衡度降低,线损率减小,说明所提换相方案起到了线损控制的作用。 展开更多
关键词 低压配电变压器 三相负荷不平衡 线损率计算 小生境遗传分析算法 换相
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Balance control of grid currents for UPQC under unbalanced loads based on matching-ratio compensation algorithm 被引量:2
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作者 Xiaojun ZHAO Chunjiang ZHANG +3 位作者 Xiuhui CHAI Jinlong ZHANG Fanqi LIU Zhe ZHANG 《Journal of Modern Power Systems and Clean Energy》 SCIE EI 2018年第6期1319-1331,共13页
In three-phase four-wire systems, unbalanced loads can cause grid currents to be unbalanced, and this may cause the neutral point potential on the grid side to shift. The neutral point potential shift will worsen the ... In three-phase four-wire systems, unbalanced loads can cause grid currents to be unbalanced, and this may cause the neutral point potential on the grid side to shift. The neutral point potential shift will worsen the control precision as well as the performance of the threephase four-wire unified power quality conditioner(UPQC),and it also leads to unbalanced three-phase output voltage,even causing damage to electric equipment. To deal with unbalanced loads, this paper proposes a matching-ratio compensation algorithm(MCA) for the fundamental active component of load currents, and by employing this MCA,balanced three-phase grid currents can be realized under 100% unbalanced loads. The steady-state fluctuation and the transient drop of the DC bus voltage can also be restrained. This paper establishes the mathematical model of the UPQC, analyzes the mechanism of the DC bus voltage fluctuations, and elaborates the interaction between unbalanced grid currents and DC bus voltage fluctuations;two control strategies of UPQC under three-phase stationary coordinate based on the MCA are given, and finally, the feasibility and effectiveness of the proposed control strategy are verified by experiment results. 展开更多
关键词 UNIFIED power quality conditioner(UPQC) unbalanced loads Matching-ratio compensation Balance control DC bus voltage FLUCTUATIONS
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Euler Loading Formula of LargeDeflection and the Quick Solution for Large Deflection Equation of Beam and Column
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作者 黄平 王培荣 樊卫勇 《International Journal of Mining Science and Technology》 SCIE EI 1997年第1期83-86,共4页
This paper develops Euler ’loadlng formula of large deflection to be easy to measure in-situ and puts forward the differeuce quick iterative solution ror large deflection of beam and column, whick can solve the uon-l... This paper develops Euler ’loadlng formula of large deflection to be easy to measure in-situ and puts forward the differeuce quick iterative solution ror large deflection of beam and column, whick can solve the uon-linear equation like a kind of θ"+K(s)f(θ) =0. 展开更多
关键词 large DEFLECTION EULER loadING FORMULA non-linear EQUATION interative SOLUTION
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On the Buckling of Euler Graphene Beams Subject to Axial Compressive Load
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作者 Mohamed B. M. Elgindi Dongming Wei +1 位作者 Yeran Soukiassian Yu Liu 《World Journal of Engineering and Technology》 2014年第2期149-158,共10页
In this paper, we consider the buckling of an Euler-Bernoulli graphene beam due to an axial compressive load. We formulate the problem as a non-linear (eigenvalue) two-point boundary value problem, prove some properti... In this paper, we consider the buckling of an Euler-Bernoulli graphene beam due to an axial compressive load. We formulate the problem as a non-linear (eigenvalue) two-point boundary value problem, prove some properties of the eigenpairs and introduce a suitable numerical shooting method scheme for approximating them. We present the perturbation and the numerical approximations of the first and second buckling loads and the corresponding shapes. 展开更多
关键词 Critical BUCKLING load Graphene Euler-Bernoulli Beam non-linear EIGENVALUE Problem SHOOTING Method
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