Power-controlled Hamiltonian systems: Application to electrical systems with constant power loads

被引：21
作者：
Monshizadeh, Pooya [1 ]
Machado, Juan E. [2 ]
Ortega, Romeo [2 ]
van der Schaft, Arjan [1 ]
机构：
[1] Univ Groningen, Johann Bernoulli Inst Math & Comp Sci, NL-9700 AK Groningen, Netherlands
[2] SUPELEC, CNRS, Lab Signaux & Syst, F-91192 Gif Sur Yvette, France
来源：
AUTOMATICA | 2019年 / 109卷
关键词：
Port-Hamiltonian systems; Passivity theory; Stability of nonlinear systems; Constant power loads; DISTRIBUTED SYSTEMS; STABILITY; PASSIVITY; EXISTENCE; STABILIZATION; EQUILIBRIA; NETWORKS;
D O I：
10.1016/j.automatica.2019.108527
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We study a type of port-Hamiltonian system in which the controller or disturbance is not applied to the flow variables, but to the systems power balance equation a scenario that appears in many practical applications. A suitable framework is provided to model these systems and to investigate their shifted passivity properties, based on which a stability analysis is carried out. The applicability of the results is illustrated with the important problem of stability analysis of electrical circuits with constant power loads. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页数：8
相关论文
共 30 条
  • [1] Stabilization of distributed systems using irreversible thermodynamics
    Alonso, AA
    Ydstie, BE
    [J]. AUTOMATICA, 2001, 37 (11) : 1739 - 1755
  • [2] Reduced-Order Model and Stability Analysis of Low-Voltage DC Microgrid
    Anand, Sandeep
    Fernandes, B. G.
    [J]. IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2013, 60 (11) : 5040 - 5049
  • [3] Arcak M, 2016, SPRBRIEF ELECT, P1, DOI 10.1007/978-3-319-29928-0
  • [4] On Existence and Stability of Equilibria of Linear Time-Invariant Systems With Constant Power Loads
    Barabanov, Nikita
    Ortega, Romeo
    Grino, Robert
    Polyak, Boris
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2016, 63 (01) : 114 - 121
  • [5] BELKHAYAT M, 1995, IEEE POWER ELECTRON, P1333, DOI 10.1109/PESC.1995.474987
  • [6] On the Existence and Linear Approximation of the Power Flow Solution in Power Distribution Networks
    Bolognani, Saverio
    Zampieri, Sandro
    [J]. IEEE TRANSACTIONS ON POWER SYSTEMS, 2016, 31 (01) : 163 - 172
  • [7] Brayton J. K., 1964, Quart. Appl. Math., V22, P1
  • [8] Bregman Lev M, 1967, USSR Computational Mathematics and Mathematical Physics, V7, P200
  • [9] Transient Stability Guarantees for Ad Hoc DC Microgrids
    Cavanagh, Kathleen
    Belk, Julia A.
    Turitsyn, Konstantin
    [J]. IEEE CONTROL SYSTEMS LETTERS, 2018, 2 (01): : 139 - 144
  • [10] Cezar G, 2015, IEEE DECIS CONTR P, P9, DOI 10.1109/CDC.2015.7402080
123