Semi-Implicit Formulation of Differential-Algebraic Equations for Transient Stability Analysis

被引：41

作者：

Milano, Federico ^{[1
]}

机构：

[1] Univ Coll Dublin, Sch Elect & Elect Engn, Dublin, Ireland

来源：

IEEE TRANSACTIONS ON POWER SYSTEMS | 2016年 / 31卷 / 06期

关键词：

Transient stability analysis; differential-algebraic equations (DAEs); implicit time integration scheme; GENERALIZED SCHUR DECOMPOSITION; TIME-DOMAIN SIMULATION; ARBITRARY PENCIL-A; EFFICIENT ALGORITHM; ROBUST SOFTWARE; ERROR-BOUNDS; LAMBDA-B; POWER;

D O I：

10.1109/TPWRS.2016.2516646

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：

The paper proposes a semi-implicit formulation of the differential-algebraic equations (DAEs) describing power system models for transient stability analysis. This formulation, if coupled to an implicit integration scheme, shows two relevant advantages with respect to the conventional explicit formulation: (i) reduce the computational burden; and (ii) increase the sparsity of the Jacobian matrix of the system. The proposed model also allows using null time constants and thus simplifies the computer implementation of the DAEs. The properties and the performance of the proposed semi-implicit formulation and the conventional explicit one are compared through a dynamic 21,177-bus model of the European transmission system.

引用

页码：4534 / 4543

页数：10

共 35 条

[1] TESTING OF TRAPEZOIDAL INTEGRATION WITH DAMPING FOR THE SOLUTION OF POWER TRANSIENT PROBLEMS [J].

ALVARADO, FL ;

LASSETER, RH ;

SANCHEZ, JJ .

IEEE TRANSACTIONS ON POWER APPARATUS AND SYSTEMS, 1983, 102 (12) :3783-3790

[2]

Aristidou P, 2014, IEEE POW ENER SOC GE, DOI 10.1109/PESGM.2014.6938851

[3] Dynamic Simulation of Large-Scale Power Systems Using a Parallel Schur-Complement-Based Decomposition Method [J].

Aristidou, Petros ;

Fabozzi, Davide ;

Van Cutsem, Thierry .

IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS, 2014, 25 (10) :2561-2570

[4] THE MIXED ADAM - BDF VARIABLE STEP-SIZE ALGORITHM TO SIMULATE TRANSIENT AND LONG-TERM PHENOMENA IN POWER-SYSTEMS [J].

ASTIC, JY ;

BIHAIN, A .

IEEE TRANSACTIONS ON POWER SYSTEMS, 1994, 9 (02) :929-935

[5] NEW EFFICIENT ALGORITHM FOR SOLVING DIFFERENTIAL-ALGEBRAIC SYSTEMS USING IMPLICIT BACKWARD DIFFERENTIATION FORMULAS [J].

BRAYTON, RK ;

HACHTEL, GD ;

GUSTAVSON, FG .

PROCEEDINGS OF THE INSTITUTE OF ELECTRICAL AND ELECTRONICS ENGINEERS, 1972, 60 (01) :98-+

[6]

Brenan K.E., 1989, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, Algebraic Equations

[7]

Canizares C. A., 2002, TECH REP

[8]

Cellier F. E., 2006, Continuous System Simulation

[9]

CRENSHAW ML, 1981, IEEE T POWER AP SYST, V100, P494, DOI 10.1109/TPAS.1981.316906

[10]

de Mello F. P., 1992, IEEE Computer Applications in Power, V5, P33, DOI 10.1109/67.143272

← 1 2 3 4 →