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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Bamieh, B. Gayme, D.F. |
| Copyright Year | 2013 |
| Description | Author affiliation: Dept. of Mech. Eng., Univ. of California at Santa Barbara, Santa Barbara, CA, USA (Bamieh, B.) || Dept. of Mech. Eng., Johns Hopkins Univ., Baltimore, MD, USA (Gayme, D.F.) |
| Abstract | We investigate the total resistive losses incurred in returning a power network of identical generators to a synchronous state following a transient stability event or in maintaining this state in the presence of persistent stochastic disturbances. We formulate this cost as the input-output $H^{2}$ norm of a linear dynamical system with distributed disturbances. We derive an expression for the total resistive losses that scales with the size of the network as well as properties of the generators and power lines, but is independent of the network topology. This topologically invariant scaling of what we term the price of synchrony is in contrast to typical power system stability notions like rate of convergence or the region of attraction for rotor-angle stability. Our result indicates that highly connected power networks, whilst desirable for higher phase synchrony, do not offer an advantage in terms of the total resistive power losses needed to achieve this synchrony. Furthermore, if power flow is the mechanism used to achieve synchrony in highly-distributed-generation networks, the cost increases unboundedly with the number of generators. |
| Starting Page | 5815 |
| Ending Page | 5820 |
| File Size | 373894 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781479901777 |
| ISSN | 07431619 |
| e-ISBN | 9781479901784 |
| DOI | 10.1109/ACC.2013.6580749 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2013-06-17 |
| Publisher Place | USA |
| Access Restriction | Subscribed |
| Rights Holder | American Automatic Control Council(AACC) |
| Subject Keyword | Generators Power system stability Mathematical model Synchronization Equations Stability criteria |
| Content Type | Text |
| Resource Type | Article |
| Subject | Electrical and Electronic Engineering |
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