Facta Univ. Ser.: Elec. Energ., vol. 16, No. 1, April 2003,
pp. 145-154
## A Simplified Linearized Dinamic Model for Voltage
Collapse Assessment in Power Systems

### Dragan Tasić and Miodrag Stojanović

**Abstract:**
A simplified linearized dynamic model for fast assessment of
voltage collapse is developed in this paper. The simplification
was made under assumption that the voltages at generator nodes are
constant, which means that only power changes at load nodes are
considered in analysis. Dimensions of the state matrix, which
eigenvalues are used for voltage collapse assessment, decrease
under this assumption. Appropriate transformations of linearized
state matrix prove that knowledge of values of the dynamical load
change time constants is not required for this model.

**Keywords:**
Voltage collapse, assessment, load, state matrix.