A robust reliability method for stability analysis and reliability-based stabilization of time-delay dynamic systems with uncertain but bounded parameters is presented by treating the uncertain parameters as interval ...A robust reliability method for stability analysis and reliability-based stabilization of time-delay dynamic systems with uncertain but bounded parameters is presented by treating the uncertain parameters as interval variables.The performance function used for robust reliability analysis is defined by a delayindependent stability criterion.The design of robust controllers is carried out by solving a reliability-based optimization problem in which the control cost satisfying design requirements is minimized.This kind of treatment makes it possible to achieve a balance between the reliability and control cost in the design of controller when uncertainties must be taken into account.By the method,a robust reliability measure of the degree of stability of a time-delay uncertain system can be provided,and the maximum robustness bounds of uncertain parameters such that the time-delay system to be stable can be obtained.All the procedures are based on the linear matrix inequality approach and therefore can be carried out conveniently.The effectiveness and feasibility of the proposed method are demonstrated with two practical examples.It is shown by numerical simulations and comparison that it is meaningful to take the robust reliability into account in the control design of uncertain systems.展开更多
Large integration of electric vehicles(EVs)brings uncertainties and challenges for distribution networks.Reliability and allocation of charging systems(charging stations and piles)need strong support from the distribu...Large integration of electric vehicles(EVs)brings uncertainties and challenges for distribution networks.Reliability and allocation of charging systems(charging stations and piles)need strong support from the distribution network,whose expansion planning would be also greatly impacted by the incremental load from the charging system.To address this issue,a collaborative planning scheme of the EV charging system and distribution networks that combines economic and reliability benefits is proposed,which is formulated as a two-stage distributionally robust optimization model considering source-load uncertainties.First,a candidate EVCS planning scheme is obtained using queuing theory.Then,system reliability is quantified by adopting the average energy not supplied index and correlated integrated into the two-stage mixed-integer linear programming model.Finally,it is solved to perform distributionally robust expansion planning by the column and constraint generation algorithm.Effectiveness and scalability of the proposed planning method are illustrated by numerical case studies.Results indicate the planning scheme that considers economic and reliability benefit can perform better than traditional optimization methods.展开更多
文摘A robust reliability method for stability analysis and reliability-based stabilization of time-delay dynamic systems with uncertain but bounded parameters is presented by treating the uncertain parameters as interval variables.The performance function used for robust reliability analysis is defined by a delayindependent stability criterion.The design of robust controllers is carried out by solving a reliability-based optimization problem in which the control cost satisfying design requirements is minimized.This kind of treatment makes it possible to achieve a balance between the reliability and control cost in the design of controller when uncertainties must be taken into account.By the method,a robust reliability measure of the degree of stability of a time-delay uncertain system can be provided,and the maximum robustness bounds of uncertain parameters such that the time-delay system to be stable can be obtained.All the procedures are based on the linear matrix inequality approach and therefore can be carried out conveniently.The effectiveness and feasibility of the proposed method are demonstrated with two practical examples.It is shown by numerical simulations and comparison that it is meaningful to take the robust reliability into account in the control design of uncertain systems.
基金supported by the National Natural Science Foundation of China(52111530067)the Academy of Finland project“Robust Distribution Network Planning to Facilitate Electric Vehicle Integration”(341473).
文摘Large integration of electric vehicles(EVs)brings uncertainties and challenges for distribution networks.Reliability and allocation of charging systems(charging stations and piles)need strong support from the distribution network,whose expansion planning would be also greatly impacted by the incremental load from the charging system.To address this issue,a collaborative planning scheme of the EV charging system and distribution networks that combines economic and reliability benefits is proposed,which is formulated as a two-stage distributionally robust optimization model considering source-load uncertainties.First,a candidate EVCS planning scheme is obtained using queuing theory.Then,system reliability is quantified by adopting the average energy not supplied index and correlated integrated into the two-stage mixed-integer linear programming model.Finally,it is solved to perform distributionally robust expansion planning by the column and constraint generation algorithm.Effectiveness and scalability of the proposed planning method are illustrated by numerical case studies.Results indicate the planning scheme that considers economic and reliability benefit can perform better than traditional optimization methods.
