Nonlinear power system model reduction based on empirical Gramians

被引：6

作者：

Zhao, Hongshan ^{[1
]}

Lan, Xiaoming ^{[1
]}

Ren, Hui ^{[1
]}

机构：

[1] North China Elect Power Univ, Sch Elect & Elect Engn, Baoding 071003, Peoples R China

来源：

JOURNAL OF ELECTRICAL ENGINEERING-ELEKTROTECHNICKY CASOPIS | 2017年 / 68卷 / 06期

关键词：

power system; nonlinear model reduction; empirical Gramians; balanced truncation; IDENTIFICATION; STABILITY; COHERENCY; GENERATION; EQUIVALENT; EQUATION;

D O I：

10.1515/jee-2017-0077

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

An effective nonlinear model reduction approach, empirical Gramians balanced reduction approach, is studied, to reduce the computation complexity in nonlinear power system model application. The realization procedure is: firstly, computing the empirical controllable and observable Gramians matrices of nonlinear power system model, secondly, by these two matrices, computing the balance transformation matrix to obtain the balanced system model of the original model, then, computing the controllable and observable matrices of the balanced system to obtain the diagonal Hankel singular matrix. Finally, deciding the lower-order subspace to obtain the reduced power system model. A 15-machine power system model is taken as an example to perform the reduction simulation analysis.

引用

页码：425 / 434

页数：10

共 22 条

[1] Support vector clustering-based direct coherency identification of generators in a multi-machine power system [J].

Agrawal, Rimjhim ;

Thukaram, Dhadbanjan .

IET GENERATION TRANSMISSION & DISTRIBUTION, 2013, 7 (12) :1357-1366

[2] Adequacy equivalent development of composite generation and transmission systems using network screening [J].

Akhavein, A. ;

Fotuhi-Firuzabad, M. ;

Billinton, R. ;

Farokhzad, D. .

IET GENERATION TRANSMISSION & DISTRIBUTION, 2011, 5 (11) :1141-1148

[3]

Anderson P.M., 1994, POWER SYSTEM CONTROL

[4]

Antoulas A. C., 2001, International Journal of Applied Mathematics and Computer Science, V11, P1093

[5] A new result on passivity preserving model reduction [J].

Antoulas, AC .

SYSTEMS & CONTROL LETTERS, 2005, 54 (04) :361-374

[6] Power system voltage small-disturbance stability studies based on the power flow equation [J].

Cao, G. -Y. ;

Hill, D. J. .

IET GENERATION TRANSMISSION & DISTRIBUTION, 2010, 4 (07) :873-882

[7] Model reduction in power systems using Krylov subspace methods [J].

Chaniotis, D ;

Pai, MA .

IEEE TRANSACTIONS ON POWER SYSTEMS, 2005, 20 (02) :888-894

[8]

Chow J. H., POWER SYSTEM TOOLBOX

[9] Balancing approach to minimal realization and model reduction of stable nonlinear systems [J].

Hahn, J ;

Edgar, TF .

INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH, 2002, 41 (09) :2204-2212

[10] Dynamic equivalencing of distribution networks with dispersed generation using Hankel norm approximation [J].

Ishchenko, A. ;

Myrzik, J. M. A. ;

Kling, W. L. .

IET GENERATION TRANSMISSION & DISTRIBUTION, 2007, 1 (05) :818-825

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