Study on Power System Low-frequency Oscillation Using Hamiltonian Periodic Solutions

被引：0

作者：

Shi, Fang ^{[1
]}

机构：

[1] Shandong Univ, Elect Engn Dept, Shandong, Peoples R China

来源：

IPSI BGD TRANSACTIONS ON INTERNET RESEARCH | 2015年 / 11卷 / 02期

关键词：

Hamiltonian system; periodic solutions; power system; low-frequency oscillations;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The periodic solution theory of the autonomous Hamiltonian systems is studied. Then the low frequency oscillation frequency characteristics of power system are analyzed using the inherent periodic orbits in nonlinear systems based on variational method and extremum principle. Some interesting conclusions, which can be dedicated to analyzing the periodic properties of some physical systems, are given without detailed proof. The physical nature of the existence of the low-frequency oscillation in single machine infinite-bus (SMIB) system and inter-connected power system are derived in detail. The result is compared with that originated from linearized eigenvalue analysis. The factors which closely related with the low frequency characteristic are summarized and discussed. The dynamic numerical simulations of parameterized power system verify the correctness and prospectiveness of the proposed method.

引用

页码：12 / 19

页数：8

共 19 条

[1] NONLINEAR OSCILLATIONS IN POWER-SYSTEMS [J].

ABED, EH ;

VARAIYA, PP .

INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS, 1984, 6 (01) :37-43

[2]

Bartsch T., 2006, HDB DIFFERENTIAL EQU

[3] Periodic solutions of Hamiltonian systems [J].

Ding, YH ;

Lee, C .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2000, 32 (03) :555-571

[4]

Gao Y.J., 2012, PROC 11 INT S ADV VE, P1

[5]

Han Zhiyong, 2009, Automation of Electric Power Systems, V33, P16

[6]

Kundur P., 1993, POWER SYSTEM STABILI

[7]

Li ZW, 2012, ASIA-PAC INT SYM ELE, P833, DOI 10.1109/APEMC.2012.6237856

[8]

Messina AR, 2009, POWER ELECTRON POWER, P1, DOI 10.1007/978-0-387-89530-7

[9] PERIODIC-SOLUTIONS NEAR EQUILIBRIA OF SYMMETRIC HAMILTONIAN-SYSTEMS [J].

MONTALDI, JA ;

ROBERTS, RM ;

STEWART, IN .

PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1988, 325 (1584) :237-293

[10] Transient stabilization of multimachine power systems with nontrivial transfer conductances [J].

Ortega, R ;

Galaz, M ;

Astolfi, A ;

Sun, YZ ;

Shen, TL .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (01) :60-75

← 1 2 →