We consider a linear-quadratical optimal control problem of a system governed by parabolic equation with distributed in right-hand side control and control and state constraints. We construct a mesh approximation of t...We consider a linear-quadratical optimal control problem of a system governed by parabolic equation with distributed in right-hand side control and control and state constraints. We construct a mesh approximation of this problem using different two-level approximations of the state equation, ADI and fractional steps approximations in time among others. Iterative solution methods are investigated for all constructed approximations of the optimal control problem. Their implementation can be carried out in parallel manner.展开更多
In the envisioned smart grid, high penetration of uncertain renewables, unpredictable participation of(industrial) customers, and purposeful manipulation of smart meter readings, all highlight the need for accurate,fa...In the envisioned smart grid, high penetration of uncertain renewables, unpredictable participation of(industrial) customers, and purposeful manipulation of smart meter readings, all highlight the need for accurate,fast, and robust power system state estimation(PSSE). Nonetheless, most real-time data available in the current and upcoming transmission/distribution systems are nonlinear in power system states(i.e., nodal voltage phasors).Scalable approaches to dealing with PSSE tasks undergo a paradigm shift toward addressing the unique modeling and computational challenges associated with those nonlinear measurements. In this study, we provide a contemporary overview of PSSE and describe the current state of the art in the nonlinear weighted least-squares and least-absolutevalue PSSE. To benchmark the performance of unbiased estimators, the Cramér-Rao lower bound is developed.Accounting for cyber attacks, new corruption models are introduced, and robust PSSE approaches are outlined as well. Finally, distribution system state estimation is discussed along with its current challenges. Simulation tests corroborate the effectiveness of the developed algorithms as well as the practical merits of the theory.展开更多
优化链路状态路由协议(Optimized Link State Routing,OLSR)是Ad Hoc网络中的一种先验式的链路状态路由协议,在该协议基础上,通过在HELLO消息中加入二跳邻节点信息进行一跳广播,节点能获取所有的二跳邻节点及三跳邻节点,从二跳邻节点中...优化链路状态路由协议(Optimized Link State Routing,OLSR)是Ad Hoc网络中的一种先验式的链路状态路由协议,在该协议基础上,通过在HELLO消息中加入二跳邻节点信息进行一跳广播,节点能获取所有的二跳邻节点及三跳邻节点,从二跳邻节点中选出中继节点(称之为多点二级中继节点MPL2R)覆盖三级邻节点,再从一跳邻节点中选出中继节点(称之为一级中继节点MPL1R,即原来的MPR),MPL2R和MPL1R完成了对所有的二跳和三跳邻节点的覆盖。修改TC消息内容,并改进MPR节点选择算法。通过对OLSR路由协议的改进,增加了路由开销,但从全局看,最后计算出的路径更接近全局最优。展开更多
文摘We consider a linear-quadratical optimal control problem of a system governed by parabolic equation with distributed in right-hand side control and control and state constraints. We construct a mesh approximation of this problem using different two-level approximations of the state equation, ADI and fractional steps approximations in time among others. Iterative solution methods are investigated for all constructed approximations of the optimal control problem. Their implementation can be carried out in parallel manner.
基金Wang G and Giannakis GB were supported by the National Natural Science Foundation of China(NSFC)(Nos.1514056,1505970,and 1711471)Chen J and Sun J were supported by the NSFC(Nos.61621063 and 61522303)+2 种基金the NSFC-Zhejiang Joint Fund for the Integration of Industrialization and Informatization(No.61720106011)the Projects of Major International(Regional)Joint Research Program NSFC(No.61720106011)the Program for Changjiang Scholars and Innovative Research Team in University(No.IRT1208)
文摘In the envisioned smart grid, high penetration of uncertain renewables, unpredictable participation of(industrial) customers, and purposeful manipulation of smart meter readings, all highlight the need for accurate,fast, and robust power system state estimation(PSSE). Nonetheless, most real-time data available in the current and upcoming transmission/distribution systems are nonlinear in power system states(i.e., nodal voltage phasors).Scalable approaches to dealing with PSSE tasks undergo a paradigm shift toward addressing the unique modeling and computational challenges associated with those nonlinear measurements. In this study, we provide a contemporary overview of PSSE and describe the current state of the art in the nonlinear weighted least-squares and least-absolutevalue PSSE. To benchmark the performance of unbiased estimators, the Cramér-Rao lower bound is developed.Accounting for cyber attacks, new corruption models are introduced, and robust PSSE approaches are outlined as well. Finally, distribution system state estimation is discussed along with its current challenges. Simulation tests corroborate the effectiveness of the developed algorithms as well as the practical merits of the theory.
文摘优化链路状态路由协议(Optimized Link State Routing,OLSR)是Ad Hoc网络中的一种先验式的链路状态路由协议,在该协议基础上,通过在HELLO消息中加入二跳邻节点信息进行一跳广播,节点能获取所有的二跳邻节点及三跳邻节点,从二跳邻节点中选出中继节点(称之为多点二级中继节点MPL2R)覆盖三级邻节点,再从一跳邻节点中选出中继节点(称之为一级中继节点MPL1R,即原来的MPR),MPL2R和MPL1R完成了对所有的二跳和三跳邻节点的覆盖。修改TC消息内容,并改进MPR节点选择算法。通过对OLSR路由协议的改进,增加了路由开销,但从全局看,最后计算出的路径更接近全局最优。
