In this paper, we provide a new effective method for computing the exact value of Hausdorff measures of a class of self-similar sets satisfying the open set condition (OSC). As applications, we discuss a self-simila...In this paper, we provide a new effective method for computing the exact value of Hausdorff measures of a class of self-similar sets satisfying the open set condition (OSC). As applications, we discuss a self-similar Cantor set satisfying OSC and give a simple method for computing its exact Hausdorff measure.展开更多
针对统一电能质量调节器(unified power quality conditioner,UPQC)线性控制算法中存在的控制结构复杂、控制器参数整定困难以及控制延时等问题,提出一种基于有限集模型预测控制(finite control set model predictive control,FCS-MPC)...针对统一电能质量调节器(unified power quality conditioner,UPQC)线性控制算法中存在的控制结构复杂、控制器参数整定困难以及控制延时等问题,提出一种基于有限集模型预测控制(finite control set model predictive control,FCS-MPC)的UPQC预测直接控制策略。在分析UPQC直接控制系统构成基础上,基于FCS-MPC基本原理,实现了同步旋转坐标系下UPQC的有限集模型预测直接控制系统建模,有效简化了控制器结构,降低了控制算法的复杂度;基于UPQC系统有功功率平衡以及负载基波电压幅值恒定原控制器参数整定困难以及控制延时等问题,提出一种基于有则,建立了适用于UPQC串联侧与并联侧预测直接控制策略的给定值产生机制;最后,采用Matlab/Simulink仿真软件将所提控制策略与传统线性控制算法进行了对比仿真,并基于DSP (digital signal processor)(10)FPGA (field programmable gate array)(10)TYPHOON HIL402实验平台进行了实验验证,仿真与实验结果验证了所提控制策略的有效性和可行性。展开更多
针对统一电能质量调节器(unified power quality conditioner,UPQC)传统线性控制算法中存在多个PI控制器及PWM调制环节,导致系统参数整定困难、结构复杂的问题,提出一种新型无差拍UPQC预测直接控制策略。推导并建立同步旋转坐标系下UPQ...针对统一电能质量调节器(unified power quality conditioner,UPQC)传统线性控制算法中存在多个PI控制器及PWM调制环节,导致系统参数整定困难、结构复杂的问题,提出一种新型无差拍UPQC预测直接控制策略。推导并建立同步旋转坐标系下UPQC串、并联侧预测直接控制模型;基于无差拍控制原理与有功功率平衡原则构建了串联侧给定电流产生机制,实现了直流侧电压的无差拍控制和网侧电流的预测直接控制;基于无差拍控制原理与负载侧电压恒定原则构建了并联侧给定电流产生机制,实现了负载侧电压的无差拍预测直接控制。仿真与实验分析结果表明,所提算法无PI和PWM调制环节,有效简化了控制系统结构,并提高了系统的动态性能及补偿效果。展开更多
Let E be a self-similar set satisfying the open set condition. Professor Xu conjectures in his doctoral degree thesis that if H^8(E) 〈|E|^8, then for any x ∈ E, the inequality ^-D^3C(E,x)〉H^8(E)/|E|^8hold...Let E be a self-similar set satisfying the open set condition. Professor Xu conjectures in his doctoral degree thesis that if H^8(E) 〈|E|^8, then for any x ∈ E, the inequality ^-D^3C(E,x)〉H^8(E)/|E|^8holds, where 3 = dimH(E). The above conjecture is negatively answered in this'paper.展开更多
In this paper, an equivalent condition for the self similar sets on the real line to have best coverings is given. As a result, it partly gives answer to the conjecture which was posed by Zhou and Feng [Zhou, Z. L., F...In this paper, an equivalent condition for the self similar sets on the real line to have best coverings is given. As a result, it partly gives answer to the conjecture which was posed by Zhou and Feng [Zhou, Z. L., Feng, L.: Twelve open problems on the exact value of the Hausdorff measure and on topological entropy: A brief survey of recent results. Nonlinearity, 17(2), 493-502 (2004)].展开更多
For a self-similar set E satisfying the open set condition,upper convex density is an important concept for the computation of its Hausdorff measure,and it is well known that the set of relative interior points with u...For a self-similar set E satisfying the open set condition,upper convex density is an important concept for the computation of its Hausdorff measure,and it is well known that the set of relative interior points with upper convex density 1 has a full Hausdorff measure.But whether the upper convex densities of E at all the relative interior points are equal to 1? In other words,whether there exists a relative interior point of E such that the upper convex density of E at this point is less than 1? In this paper,the authors construct a self-similar set satisfying the open set condition,which has a relative interior point with upper convex density less than 1.Thereby,the above problem is sufficiently answered.展开更多
针对容错模式下的统一电能质量调节器(Unified Power Quality Conditioner,UPQC),提出了一种五桥臂形式的新型拓扑结构,实现故障下的电能质量扰动综合补偿。在此基础上,对串联变流器和并联变流器进行统一建模,提出了一种基于有限集模型...针对容错模式下的统一电能质量调节器(Unified Power Quality Conditioner,UPQC),提出了一种五桥臂形式的新型拓扑结构,实现故障下的电能质量扰动综合补偿。在此基础上,对串联变流器和并联变流器进行统一建模,提出了一种基于有限集模型预测控制(Finite Control Set Model Predictive Control,FCS-MPC)的五桥臂UPQC控制策略。相比传统线性控制策略,所提算法构建了统一的预测模型以及整合优化的价值函数,实现串联变流器与并联变流器的协同控制,提高了两侧变流器的补偿精度、暂态性能以及响应速度,有效降低了控制算法的复杂度和参数调节难度,并具有较高的参数鲁棒性。仿真结果验证了所提算法的可行性和有效性。展开更多
基金Supported in part by Education Ministry, Anhui province, China (No. KJ2008A028)
文摘In this paper, we provide a new effective method for computing the exact value of Hausdorff measures of a class of self-similar sets satisfying the open set condition (OSC). As applications, we discuss a self-similar Cantor set satisfying OSC and give a simple method for computing its exact Hausdorff measure.
文摘针对统一电能质量调节器(unified power quality conditioner,UPQC)线性控制算法中存在的控制结构复杂、控制器参数整定困难以及控制延时等问题,提出一种基于有限集模型预测控制(finite control set model predictive control,FCS-MPC)的UPQC预测直接控制策略。在分析UPQC直接控制系统构成基础上,基于FCS-MPC基本原理,实现了同步旋转坐标系下UPQC的有限集模型预测直接控制系统建模,有效简化了控制器结构,降低了控制算法的复杂度;基于UPQC系统有功功率平衡以及负载基波电压幅值恒定原控制器参数整定困难以及控制延时等问题,提出一种基于有则,建立了适用于UPQC串联侧与并联侧预测直接控制策略的给定值产生机制;最后,采用Matlab/Simulink仿真软件将所提控制策略与传统线性控制算法进行了对比仿真,并基于DSP (digital signal processor)(10)FPGA (field programmable gate array)(10)TYPHOON HIL402实验平台进行了实验验证,仿真与实验结果验证了所提控制策略的有效性和可行性。
文摘针对统一电能质量调节器(unified power quality conditioner,UPQC)传统线性控制算法中存在多个PI控制器及PWM调制环节,导致系统参数整定困难、结构复杂的问题,提出一种新型无差拍UPQC预测直接控制策略。推导并建立同步旋转坐标系下UPQC串、并联侧预测直接控制模型;基于无差拍控制原理与有功功率平衡原则构建了串联侧给定电流产生机制,实现了直流侧电压的无差拍控制和网侧电流的预测直接控制;基于无差拍控制原理与负载侧电压恒定原则构建了并联侧给定电流产生机制,实现了负载侧电压的无差拍预测直接控制。仿真与实验分析结果表明,所提算法无PI和PWM调制环节,有效简化了控制系统结构,并提高了系统的动态性能及补偿效果。
文摘Let E be a self-similar set satisfying the open set condition. Professor Xu conjectures in his doctoral degree thesis that if H^8(E) 〈|E|^8, then for any x ∈ E, the inequality ^-D^3C(E,x)〉H^8(E)/|E|^8holds, where 3 = dimH(E). The above conjecture is negatively answered in this'paper.
基金Supported by National Natural Science Foundations of China (Grant Nos. 10971236, 11261039)
文摘In this paper, an equivalent condition for the self similar sets on the real line to have best coverings is given. As a result, it partly gives answer to the conjecture which was posed by Zhou and Feng [Zhou, Z. L., Feng, L.: Twelve open problems on the exact value of the Hausdorff measure and on topological entropy: A brief survey of recent results. Nonlinearity, 17(2), 493-502 (2004)].
基金The Natural Science Youth Foundation (2008GQS0071) of Jiangxi Province
文摘For a self-similar set E satisfying the open set condition,upper convex density is an important concept for the computation of its Hausdorff measure,and it is well known that the set of relative interior points with upper convex density 1 has a full Hausdorff measure.But whether the upper convex densities of E at all the relative interior points are equal to 1? In other words,whether there exists a relative interior point of E such that the upper convex density of E at this point is less than 1? In this paper,the authors construct a self-similar set satisfying the open set condition,which has a relative interior point with upper convex density less than 1.Thereby,the above problem is sufficiently answered.
文摘针对容错模式下的统一电能质量调节器(Unified Power Quality Conditioner,UPQC),提出了一种五桥臂形式的新型拓扑结构,实现故障下的电能质量扰动综合补偿。在此基础上,对串联变流器和并联变流器进行统一建模,提出了一种基于有限集模型预测控制(Finite Control Set Model Predictive Control,FCS-MPC)的五桥臂UPQC控制策略。相比传统线性控制策略,所提算法构建了统一的预测模型以及整合优化的价值函数,实现串联变流器与并联变流器的协同控制,提高了两侧变流器的补偿精度、暂态性能以及响应速度,有效降低了控制算法的复杂度和参数调节难度,并具有较高的参数鲁棒性。仿真结果验证了所提算法的可行性和有效性。