Multi-Way Partitioning of Power Networks via Koopman Mode Analysis

被引:1
作者
Raak, Fredrik [1 ]
Susuki, Yoshihiko [1 ,2 ]
Hikihara, Takashi [1 ]
机构
[1] Kyoto Univ, Nishikyo Ku, Katsura, Kyoto 6158510, Japan
[2] JST CREST, Kawaguchi, Saitama 3320012, Japan
来源
IFAC PAPERSONLINE | 2015年 / 48卷 / 30期
关键词
Power system monitoring; spectral graph theory; power network partitioning; coherency identification; SPLITTING STRATEGIES; SPECTRAL PROPERTIES; SYSTEM; REDUCTION; OPERATION; ALGORITHM; FLOWS;
D O I
10.1016/j.ifacol.2015.12.415
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the partitioning problem of power networks by applying the so-called Koopman Mode Analysis (KMA) to sampled voltage-angle data. KMA is based on The so-called Koopman operator defined arbitrary nonlinear dynamical system and provides an infinite dimensional but linear description of the evolving nonlinear dynamics. By compiling a set of dynamically relevant modes using the KMA, a new partitioning method for power networks is introduced, and multiple partitions are derived for a benchmark system. The obtained result is compared with two conventional methods previously applied to the partitioning problem; spectral graph theory and slow coherency. (C) 2015, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
引用
收藏
页码:421 / 426
页数:6
相关论文
共 22 条
  • [1] Applied Koopmanism
    Budisic, Marko
    Mohr, Ryan
    Mezic, Igor
    [J]. CHAOS, 2012, 22 (04)
  • [2] INERTIAL AND SLOW COHERENCY AGGREGATION ALGORITHMS FOR POWER-SYSTEM DYNAMIC-MODEL REDUCTION
    CHOW, JH
    GALARZA, R
    ACCARI, P
    PRICE, WW
    [J]. IEEE TRANSACTIONS ON POWER SYSTEMS, 1995, 10 (02) : 680 - 685
  • [3] Two-Step Spectral Clustering Controlled Islanding Algorithm
    Ding, Lei
    Gonzalez-Longatt, Francisco M.
    Wall, Peter
    Terzija, Vladimir
    [J]. IEEE TRANSACTIONS ON POWER SYSTEMS, 2013, 28 (01) : 75 - 84
  • [4] An efficient k-means clustering algorithm:: Analysis and implementation
    Kanungo, T
    Mount, DM
    Netanyahu, NS
    Piatko, CD
    Silverman, R
    Wu, AY
    [J]. IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 2002, 24 (07) : 881 - 892
  • [5] Kundur P., 1994, ser. EPRI power system engineering series, V7
  • [6] Spectral properties of dynamical systems, model reduction and decompositions
    Mezic, I
    [J]. NONLINEAR DYNAMICS, 2005, 41 (1-3) : 309 - 325
  • [7] Analysis of Fluid Flows via Spectral Properties of the Koopman Operator
    Mezic, Igor
    [J]. ANNUAL REVIEW OF FLUID MECHANICS, VOL 45, 2013, 45 : 357 - 378
  • [8] An open source Power System Analysis Toolbox
    Milano, F
    [J]. IEEE TRANSACTIONS ON POWER SYSTEMS, 2005, 20 (03) : 1199 - 1206
  • [9] Raak F., 2015, IEEE T POWER SYSTEMS
  • [10] Raak Fredrik., 2014, Innovative_Smart Grid_Technologies_Conference_(ISGT),_2014_IEEE_PES, P1