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- Claudio A. Ca, Fernando L. Alvarado
- 1993

This paper describes the implementation of both Point of Collapse (PoC) methods and continuation methods for the computation of voltage collapse points (saddle-node bifurcations) in large ac/dcâ€¦ (More)

Loading margin is a fundamental measure of proximity to voltage collapse. Linear and quadratic estimates to the variation of the loading margin with respect to any system parameter or control areâ€¦ (More)

- Ian Dobson, Rajesh Rajaraman, +4 authors Jianfeng Zhang
- 2002

The main idea of this paper is to illustrate the interaction<lb>between various kinds of power system operational limits and<lb>corrective actions. In particular, the paper focuses on theâ€¦ (More)

Market equilibrium conditions can be derived from more general dynamic equations describing the marketplace. Dynamic equations provide insights into the behavior and stability of markets which areâ€¦ (More)

- Fernando L. Alvarado, Robert Schreiber
- SIAM J. Scientific Computing
- 1993

This paper describes a method for the parallel solution of tr/ans_lar sets of equations, appropriate when there are many rlght-hand sides. By preproceuing, the method can reduce the number ofâ€¦ (More)

The change in the loading margin to voltage collapse when line outages occur is estimated. First a nose curve is computed by continuation to obtain a nominal loading margin. Then linear and quadraticâ€¦ (More)

The power flow is the fundamental tool for the study of power systems. The data for this problem are subject to uncertainty. This paper uses interval withmetic to solve the power flow problem.â€¦ (More)

- Fernando L. Alvarado
- IEEE Transactions on Power Apparatus and Systems
- 1979

The numerical method presented in this paper permits the solution of differential equations by trapezoidal integration in a time of order log2 T, where T is the number of discrete time steps requiredâ€¦ (More)

- Fernando L. Alvarado
- IEEE Transactions on Power Apparatus and Systems
- 1978

The penalty factors calculated by the classical B-coefficients method are shown to be proportional (but not equal) to the penalty factors calculated directly from the transposed acobian. It is alsoâ€¦ (More)

Demand relief from customers can help a utility solve a variety of problems. There exist all sorts of different demand management programs that utilities use. A critical issue is the incentive paidâ€¦ (More)