New methods for computing a saddle-node bifurcation point for voltage stability analysis

Journal Article · Mon May 01 04:00:00 EDT 1995 · IEEE Transactions on Power Systems

OSTI ID:82701

Lu, J ^[1]; Liu, C W; Thorp, J S ^[2]

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1. Odyssey Research Associates, Inc., Ithaca, NY (United States)
2. Cornell Univ., Ithaca, NY (United States). School of Electrical Engineering

This paper proposes methods for calculating saddle-node bifurcation points of power system power flow equations. The first method calculates a saddle-node bifurcation point along a given ray in the parameter space of power flow equations. By exploiting the special structure of power flow equations, the method calculates a saddle-node bifurcation point along a given ray as a solution to a constrained optimization problem. The constrained optimization can be solved efficiently with standard optimization methods. The second method calculates a locally closest saddle-node bifurcation point with respect to the operating point. This method uses an iterative process of computing a saddle-node bifurcation point along a ray, and then updating the direction of the ray for calculating a closer-saddle-node bifurcation point. The method is a quasi-Newton method that updates the direction of a ray based on the first-order derivatives and the approximations to the second-order derivatives of the distance between saddle-node bifurcation points and the operating point. The paper compares the proposed methods with other methods on two test examples.

• OSTI ID: 82701
• Report Number(s): CONF-940702--
• Journal Information: IEEE Transactions on Power Systems, Journal Name: IEEE Transactions on Power Systems Journal Issue: 2 Vol. 10; ISSN 0885-8950; ISSN ITPSEG
• Country of Publication: United States
• Language: English

Related Subjects

24 POWER TRANSMISSION AND DISTRIBUTION
CALCULATION METHODS
OPTIMIZATION
POWER SYSTEMS
POWER TRANSMISSION
STABILITY