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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | DeMarco, Christopher L. |
| Copyright Year | 1992 |
| Description | Author affiliation: Department of Electrical and Computer Engineering, University of Wisconsin-Madison, 1415 Johnson Drive, Madison, WI 53706. demarco@apollo.ece.wisc.edu (DeMarco, Christopher L.) |
| Abstract | A long standing challenge in applying Lyapunov or energy function methods in power system stability studies arises when key components of the nonlinear state space model do not form an exact function. This is typical when the model includes realistic effects such as transmission line losses or voltage dependent active loads. When the function in question is exact, its associated potential function yields a natural choice for a system Lyapunov function. When this condition does not hold, a pragmatic approach in the literature has been to simply pick a particular path (often the state trajectory of the "faulted" power system), and integrate along this path. The "transient energy function" thus obtained is not a Lyapunov function, but has been successfully used to predict the boundary of the region of attraction in practical problems. This paper will show that the function obtained is closely related to the cost of control in an optimal control problem derived from the power system dynamics. This leads to the papers key observation: there exists a path of integration, uniquely defined by the endpoint, such that the resulting function of state does yield a true Lyapunov function. |
| Starting Page | 2089 |
| Ending Page | 2093 |
| File Size | 411325 |
| Page Count | 5 |
| File Format | |
| ISBN | 0780302109 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 1992-06-24 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | American Automatic Control Council(AACC) |
| Subject Keyword | Optimal control Power system stability Lyapunov method Power system modeling Power system transients State-space methods Power transmission lines Propagation losses Voltage Power system faults |
| Content Type | Text |
| Resource Type | Article |
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