The popularity of direct current(DC)networks have made their optimal power flow(OPF)problem a hot topic.With the proliferation of distributed generation,the many problems of centralized optimization methods,such as si...The popularity of direct current(DC)networks have made their optimal power flow(OPF)problem a hot topic.With the proliferation of distributed generation,the many problems of centralized optimization methods,such as single point failure and slow response speed,have led to utilization of measures such as distributed OPF methods.The OPF problem is non-convex,which makes it difficult to obtain an optimal solution.The second-order cone programming(SOCP)relaxation method is widely utilized to make the OPF problem convex.It is difficult to guarantee its exactness,especially when line constraints are considered.This paper proposes a penalty based ADMM approach using difference-of-convex programming(DCP)to solve the non-convex OPF problem in a distributed manner.The algorithm is composed of distributed x iteration,z iteration and A,/i iteration.Specifically,in the distributed z iteration,the active power flow injection equation of each line is formulated as a difference of two convex functions,and then the SOCP relaxation is given in a different form.If the SOCP relaxation is inexact,a penalty item is added to drive the solution to be feasible.Then,an optimal solution can be obtained using a local nonlinear programming method.Finally,simulations on a 14-bus system and the IEEE 123-bus system validate the effectiveness of the proposed approach.展开更多
【美国的节日名目繁多。节日也是一种文化现象。美国人对国人的“春节”(springfestival)时感到费解,因为,其时实在难觅春天的踪影,而Easter(【基督教】复活节)除了纪念耶稣复活之外,还迎接the coming of spring!毛小姐以不同的形容词...【美国的节日名目繁多。节日也是一种文化现象。美国人对国人的“春节”(springfestival)时感到费解,因为,其时实在难觅春天的踪影,而Easter(【基督教】复活节)除了纪念耶稣复活之外,还迎接the coming of spring!毛小姐以不同的形容词来形容对几个美国节日的感受,倒也别致。】展开更多
基金supported in part by the National Natural Science Foundation of China(51477070)National Key Research and Development Program of China(2018YFB0905000)Jiangsu Electric Power Company(J2019087).
文摘The popularity of direct current(DC)networks have made their optimal power flow(OPF)problem a hot topic.With the proliferation of distributed generation,the many problems of centralized optimization methods,such as single point failure and slow response speed,have led to utilization of measures such as distributed OPF methods.The OPF problem is non-convex,which makes it difficult to obtain an optimal solution.The second-order cone programming(SOCP)relaxation method is widely utilized to make the OPF problem convex.It is difficult to guarantee its exactness,especially when line constraints are considered.This paper proposes a penalty based ADMM approach using difference-of-convex programming(DCP)to solve the non-convex OPF problem in a distributed manner.The algorithm is composed of distributed x iteration,z iteration and A,/i iteration.Specifically,in the distributed z iteration,the active power flow injection equation of each line is formulated as a difference of two convex functions,and then the SOCP relaxation is given in a different form.If the SOCP relaxation is inexact,a penalty item is added to drive the solution to be feasible.Then,an optimal solution can be obtained using a local nonlinear programming method.Finally,simulations on a 14-bus system and the IEEE 123-bus system validate the effectiveness of the proposed approach.
文摘【美国的节日名目繁多。节日也是一种文化现象。美国人对国人的“春节”(springfestival)时感到费解,因为,其时实在难觅春天的踪影,而Easter(【基督教】复活节)除了纪念耶稣复活之外,还迎接the coming of spring!毛小姐以不同的形容词来形容对几个美国节日的感受,倒也别致。】
