Document Type

Thesis

Date of Award

1-31-2012

Degree Name

Master of Science in Power and Energy Systems - (M.S.)

Department

Electrical and Computer Engineering

First Advisor

Walid Hubbi

Second Advisor

Edip Niver

Third Advisor

Marek Sosnowski

Abstract

The voltage collapse in power system is a major concern for reliable operation of these systems. In this thesis, a method is proposed to determine the load margins at load nodes (loadability limits). A good portion of the computation to obtain those margins is routinely done when solving the power flow problem, thus the computational effort is greatly reduced. The proposed method is based on the fact that when voltage collapse occurs the Jacobian matrix, that is calculated when performing power flow analysis, is singular. The relationships between the elements of the Jacobian matrix and the nodal powers are exploited to determine the nodal powers that make this matrix singular. Thus, an index that determines the nodal loadability limit is calculated at every bus. This index is used to rank load nodes in terms of their proximity to the load limit that the system can provide these nodes.

The proposed method is tested using the IEEE 14-bus and the 30-bus test systems.

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