This paper studies the distributed Nash equilibrium seeking(DNES)problem for games whose action sets are compact and whose network graph is switching satisfying the jointly strongly connected condition.To keep the act...This paper studies the distributed Nash equilibrium seeking(DNES)problem for games whose action sets are compact and whose network graph is switching satisfying the jointly strongly connected condition.To keep the actions of all players in their action sets all the time,one has to resort to the projected gradient-based method.Under the assumption that the unique Nash equilibrium is the unique equilibrium of the pseudogradient system,an algorithm is proposed that is able to exponentially find the Nash equilibrium.Further,the authors also consider the distributed Nash equilibrium seeking problem for games whose actions are governed by high-order integrator dynamics and belong to some compact sets.Two examples are used to illustrate the proposed approach.展开更多
The set of finite group actions (up to equivalence) which operate on a prism manifold M, preserve a Heegaard Klein bottle and have a fixed orbifold quotient type, form a partially ordered set. We describe the partial ...The set of finite group actions (up to equivalence) which operate on a prism manifold M, preserve a Heegaard Klein bottle and have a fixed orbifold quotient type, form a partially ordered set. We describe the partial ordering of these actions by relating them to certain sets of ordered pairs of integers. There are seven possible orbifold quotient types, and for any fixed quotient type we show that the partially ordered set is isomorphic to a union of distributive lattices of a certain type. We give necessary and sufficent conditions, for these partially ordered sets to be isomorphic and to be a union of Boolean algebras.展开更多
基频调制电流源换流器(fundamental frequency modulation-based current sourced converter,FFM-CSC)作为一种新型电流源换流器,能够解决传统直流输电工程面临的换相失败及无功消耗问题,兼具电流源和电压源换流器部分优势。直流线路接...基频调制电流源换流器(fundamental frequency modulation-based current sourced converter,FFM-CSC)作为一种新型电流源换流器,能够解决传统直流输电工程面临的换相失败及无功消耗问题,兼具电流源和电压源换流器部分优势。直流线路接地作为直流系统中几乎最严重的故障,针对FFM-CSC换流站短路过程研究缺乏定量分析,不利于系统参数设计和故障保护识别,限制了FFM-CSC的推广应用。论文针对双极12脉动FFM-CSC系统,建立短路故障等效电路,推导故障初期过电流的解析计算公式;并针对直流线路短路特点,提出基于单端监测量的保护算法,可作为直流线路主保护。该算法计算要求低,数学原理清晰,可随系统参数和运行工况的改变灵活调整。最后,基于PSCAD/EMTDC仿真软件搭建FFM-CSC直流系统详细模型,验证数学表达式准确性,同时证明保护算法的安全可靠性。展开更多
基金supported in part by the Research Grants Council of the Hong Kong Special Administration Region under Grant No.14202619in part by the National Natural Science Foundation of China under Grant No.61973260。
文摘This paper studies the distributed Nash equilibrium seeking(DNES)problem for games whose action sets are compact and whose network graph is switching satisfying the jointly strongly connected condition.To keep the actions of all players in their action sets all the time,one has to resort to the projected gradient-based method.Under the assumption that the unique Nash equilibrium is the unique equilibrium of the pseudogradient system,an algorithm is proposed that is able to exponentially find the Nash equilibrium.Further,the authors also consider the distributed Nash equilibrium seeking problem for games whose actions are governed by high-order integrator dynamics and belong to some compact sets.Two examples are used to illustrate the proposed approach.
文摘The set of finite group actions (up to equivalence) which operate on a prism manifold M, preserve a Heegaard Klein bottle and have a fixed orbifold quotient type, form a partially ordered set. We describe the partial ordering of these actions by relating them to certain sets of ordered pairs of integers. There are seven possible orbifold quotient types, and for any fixed quotient type we show that the partially ordered set is isomorphic to a union of distributive lattices of a certain type. We give necessary and sufficent conditions, for these partially ordered sets to be isomorphic and to be a union of Boolean algebras.
文摘基频调制电流源换流器(fundamental frequency modulation-based current sourced converter,FFM-CSC)作为一种新型电流源换流器,能够解决传统直流输电工程面临的换相失败及无功消耗问题,兼具电流源和电压源换流器部分优势。直流线路接地作为直流系统中几乎最严重的故障,针对FFM-CSC换流站短路过程研究缺乏定量分析,不利于系统参数设计和故障保护识别,限制了FFM-CSC的推广应用。论文针对双极12脉动FFM-CSC系统,建立短路故障等效电路,推导故障初期过电流的解析计算公式;并针对直流线路短路特点,提出基于单端监测量的保护算法,可作为直流线路主保护。该算法计算要求低,数学原理清晰,可随系统参数和运行工况的改变灵活调整。最后,基于PSCAD/EMTDC仿真软件搭建FFM-CSC直流系统详细模型,验证数学表达式准确性,同时证明保护算法的安全可靠性。
