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Journal ArticleDOI

A Generalized Circle Diagram Approach For Global Analysis Of Transmission System Performance

G. B. Price
- 01 Oct 1984 - 
- Vol. 103, Iss: 10, pp 2881-2890
TLDR
In this paper, the global response of a power system to variations in the node constraints is considered, and the relation of specific system variables to independent node parameters is calculated using a numerical technique which provides a generalization of the elementary power circle diagram.
Abstract
The global response of a power system to variations in the node constraints is considered. The relation of specific system variables to independent node parameters is calculated using a numerical technique which provides a generalization of the elementary power circle diagram. Curves which show system performance during disturbances, tradeoffs between design parameters, voltage stability limits and multiple power flow solutions are produced. The theory of the method is presented through geometrical concepts, and its application is illustrated with several examples.

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Citations
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Journal ArticleDOI

Calculation of critical loading condition with nose curve using homotopy continuation method

TL;DR: In this paper, a new method is presented for calculating the nose curves and critical loading conditions of power systems, which is based on the conventional Newton-Raphson load flow calculation, but overcomes the numerical difficulties associated with the singularity of the Jacobian matrix.
Journal ArticleDOI

Exploring the Power Flow Solution Space Boundary

TL;DR: In this article, a predictor-corrector technique is proposed to assist in exploring the structure of the boundary of the power flow Jacobian of a single point on the solution boundary.
Journal ArticleDOI

Bibliography on voltage stability

TL;DR: A comprehensive list of books, reports, workshops and technical papers related to voltage stability and security can be found in this article, where the authors provide a comprehensive overview of the literature.
Journal ArticleDOI

Energy functions, transient stability and voltage behaviour in power systems with nonlinear loads

TL;DR: In this article, the authors present preliminary results in a computer program aimed at energy function analysis of transient behavior of power systems with nonlinear loads, which preserves the network structure, is of a differential-algebraic type, and the concepts permit the establishment of a connection between transient stability, multiple stable equilibria, and voltage behavior.
Journal ArticleDOI

Analysis tools for power systems-contending with nonlinearities

TL;DR: In this article, the influence of nonlinearities on power system modeling has been explored and an overview of the source of non-linearities in power systems has been presented, as well as industry accepted analysis techniques and those techniques that are more research orientated.
References
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Journal ArticleDOI

Review of load-flow calculation methods

TL;DR: A survey is presented on the currently available numerical techniques for power-system load-flow calculation using the digital computer, and the suitabilities of various methods for modern applications such as security monitoring and optimal load flow are examined.
Journal ArticleDOI

A Load Flow Calculation Method for III-Conditioned Power Systems

TL;DR: A load flow calculation method for ill-conditioned power systems is developed, and it is found that the solution does not exist for the 11 and 43 bus systems though the given data are said to be operational, and also that the answer does not converge with the single precision due to the precision deficiency of the computer.
Journal ArticleDOI

A Fast Load Flow Method Retaining Nonlinearity

TL;DR: This paper presents a new AC load flow method which is several to more than ten times faster than the N-R method and has the same memory requirement, mathematical complexity and accuracy as the N.R method.
Journal ArticleDOI

On the Question of Uniqueness of Stable Load-Flow Solutions

TL;DR: In this article, a counterexample is given for which two stable solutions exist, and an approach towards the analysis of uniqueness is presented that adds some insight into the nature of load-flow solutions in general.
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