CONDITIONS FOR SADDLE-NODE BIFURCATIONS IN AC/DC POWER-SYSTEMS

被引：59
作者：
CANIZARES, CA
机构：
[1] University of Waterloo, Department of Electrical and Computer Engineering, Waterloo
来源：
INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS | 1995年 / 17卷 / 01期
关键词：
SADDLE-NODE BIFURCATIONS; VOLTAGE STABILITY; AC/DC POWER SYSTEMS; NUMERICAL ROBUSTNESS;
D O I：
10.1016/0142-0615(95)93278-7
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：
Saddle-node bifurcations are dynamic instabilities of differential equation models that have been associated with voltage collapse problems in power systems. This paper presents the conditions needed for detecting these types of bifurcations using power flow equations for a dynamic model of AC/DC systems, represented by differential equations and algebraic constraints. Two methods typically used to detect saddle-node bifurcations, namely, direct and parameterized continuation methods, are briefly analysed from the point of view of numerical robustness.
引用
收藏
页码：61 / 68
页数：8
相关论文
共 45 条
[31]  
DeMarco, Canizares, A vector energy function approach for security analysis of AC/DC systems, IEEE Trans. Power Syst., 7, 3, pp. 1001-1011, (1992)
[32]  
DeMarco, Bergen, Application of singular perturbation techniques to power system transient stability analysis, Proc. ISCAS, pp. 597-601, (1984)
[33]  
Venkatasubramanian, Schattler, Zaborszky, A taxonomy of the dynamics of the large power system with emphasis on its voltage stability, Proceedings: Bulk Power System Voltage Phenomena — Voltage Stability and Security ECC/NSF Workshop, pp. 9-52, (1991)
[34]  
Rudin, Principles of mathematical analysis, (1976)
[35]  
Dobson, Observations on the geometry of saddle node bifurcations and voltage collapse in electrical power systems, IEEE Trans. Circuits Syst. — I: Fund, Theory App., 39, 3, pp. 240-243, (1992)
[36]  
Dobson, Lu, Computing an optimum direction in control space to avoid saddle node bifurcation and voltage collapse in electric power systems, IEEE Trans. Autom. Control, 37, 10, pp. 1616-1620, (1992)
[37]  
Dobson, Lu, New methods for computing a closest saddle node bifurcation and worst case load power margin for voltage collapse, IEEE-PES Summer Meeting, (1992)
[38]  
Alvarado, Jung, Direct detection of voltage collapse conditions, Proceedings: Bulk Power System Voltage Phenomena — Voltage Stability and Security, pp. 523-538, (1989)
[39]  
Ajjarapu, Identification of steady-state voltage stability in power systems, IASTED Proc. Int. Conf. High Tech. in the Power Industry, pp. 244-247, (1988)
[40]  
Van Cutsem, A method to compute reactive power margins with respect to voltage collapse, IEEE Trans. Power Syst., 6, 2, pp. 145-156, (1991)
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