该文针对单相并网系统提出了一种基于微分环节的锁相环方法。将微分环节与二阶滤波环节相结合所构造出的正交信号发生器,能有效地抑制谐波,且不依赖于频率反馈。通过采用两个微分环节能够实现精确的鉴相,进而通过合理设计参数可以实现...该文针对单相并网系统提出了一种基于微分环节的锁相环方法。将微分环节与二阶滤波环节相结合所构造出的正交信号发生器,能有效地抑制谐波,且不依赖于频率反馈。通过采用两个微分环节能够实现精确的鉴相,进而通过合理设计参数可以实现性能优良的锁相环。该文首先建立了锁相环的数学模型,接着对其性能进行了详细论证。最后,研究了数字算法的实现,并针对离散化过程所带来的误差进行了补偿。该文基于Matlab/Simulink完成了锁相环的仿真,并通过数字信号处理(digital signal processor,DSP)完成了相关实验。仿真与实验结果表明,该文提出的锁相环具有很好的谐波滤除能力及动态性能。该锁相环方法适用于各种单相并网系统。展开更多
We consider the drift-diffusion （DD） model of one dimensional semiconductor devices, which is a system involving not only first derivative convection terms but also second derivative diffusion terms and a coupled Po...We consider the drift-diffusion （DD） model of one dimensional semiconductor devices, which is a system involving not only first derivative convection terms but also second derivative diffusion terms and a coupled Poisson potential equation. Optimal error estimates are obtained for both the semi-discrete and fully discrete local discontinuous Galerkin （LDG） schemes with smooth solutions. In the fully discrete scheme, we couple the implicit-explicit （IMEX） time discretization with the LDG spatial diseretization, in order to allow larger time steps and to save computational cost. The main technical difficulty in the analysis is to treat the inter-element jump terms which arise from the discontinuous nature of the numerical method and the nonlinearity and coupling of the models. A simulation is also performed to validate the analysis.展开更多
This paper considers the variational discretization for the constrained optimal control problem governed by linear parabolic equations.The state and co-state are approximated by RaviartThomas mixed finite element spac...This paper considers the variational discretization for the constrained optimal control problem governed by linear parabolic equations.The state and co-state are approximated by RaviartThomas mixed finite element spaces,and the authors do not discretize the space of admissible control but implicitly utilize the relation between co-state and control for the discretization of the control.A priori error estimates are derived for the state,the co-state,and the control.Some numerical examples are presented to confirm the theoretical investigations.展开更多
文摘该文针对单相并网系统提出了一种基于微分环节的锁相环方法。将微分环节与二阶滤波环节相结合所构造出的正交信号发生器,能有效地抑制谐波,且不依赖于频率反馈。通过采用两个微分环节能够实现精确的鉴相,进而通过合理设计参数可以实现性能优良的锁相环。该文首先建立了锁相环的数学模型,接着对其性能进行了详细论证。最后,研究了数字算法的实现,并针对离散化过程所带来的误差进行了补偿。该文基于Matlab/Simulink完成了锁相环的仿真,并通过数字信号处理(digital signal processor,DSP)完成了相关实验。仿真与实验结果表明,该文提出的锁相环具有很好的谐波滤除能力及动态性能。该锁相环方法适用于各种单相并网系统。
基金supported by National Natural Science Foundation of China(Grant No.11471194)Department of Energy of USA(Grant No.DE-FG02-08ER25863)National Science Foundation of USA(Grant No.DMS-1418750)
文摘We consider the drift-diffusion （DD） model of one dimensional semiconductor devices, which is a system involving not only first derivative convection terms but also second derivative diffusion terms and a coupled Poisson potential equation. Optimal error estimates are obtained for both the semi-discrete and fully discrete local discontinuous Galerkin （LDG） schemes with smooth solutions. In the fully discrete scheme, we couple the implicit-explicit （IMEX） time discretization with the LDG spatial diseretization, in order to allow larger time steps and to save computational cost. The main technical difficulty in the analysis is to treat the inter-element jump terms which arise from the discontinuous nature of the numerical method and the nonlinearity and coupling of the models. A simulation is also performed to validate the analysis.
基金supported by the National Natural Science Foundation of Chinaunder Grant No.11271145Foundation for Talent Introduction of Guangdong Provincial University+3 种基金Fund for the Doctoral Program of Higher Education under Grant No.20114407110009the Project of Department of Education of Guangdong Province under Grant No.2012KJCX0036supported by Hunan Education Department Key Project 10A117the National Natural Science Foundation of China under Grant Nos.11126304 and 11201397
文摘This paper considers the variational discretization for the constrained optimal control problem governed by linear parabolic equations.The state and co-state are approximated by RaviartThomas mixed finite element spaces,and the authors do not discretize the space of admissible control but implicitly utilize the relation between co-state and control for the discretization of the control.A priori error estimates are derived for the state,the co-state,and the control.Some numerical examples are presented to confirm the theoretical investigations.
