Power System Dynamics and Control by Harry G. Kwatny & Karen Miu-Miller

Author:Harry G. Kwatny & Karen Miu-Miller
Language: eng
Format: epub
Publisher: Springer New York, New York, NY

6.2 Systems Described by Differential-Algebraic Equations

As seen above in Chapter 4, a power system can often be described by the (semi-explicit) differential-algebraic equation (DAE) model (example see [87]):

(6.1)

where , and . x and y are independent variables and is a vector of system parameters. The functions f and g are assumed to be smooth, i.e., k times differentiable for some .

An example is the classical power system model composed of n generators, m PV load buses, and p PQ buses. As commonly expressed, these equations take the form:

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