dorsal/arxiv
View SchemaStochastic Model for Power Grid Dynamics
| Authors | Marian Anghel, Kenneth A. Werley, Adilson E. Motter |
|---|---|
| Categories | |
| ArXiv ID | physics/0609217 |
| URL | https://arxiv.org/abs/physics/0609217 |
| Journal | Proceedings of the Fortieth Hawaii International Conference on System Sciences, January 3-6, 2007, Big Island, Hawaii |
Abstract
We introduce a stochastic model that describes the quasi-static dynamics of an electric transmission network under perturbations introduced by random load fluctuations, random removing of system components from service, random repair times for the failed components, and random response times to implement optimal system corrections for removing line overloads in a damaged or stressed transmission network. We use a linear approximation to the network flow equations and apply linear programming techniques that optimize the dispatching of generators and loads in order to eliminate the network overloads associated with a damaged system. We also provide a simple model for the operator's response to various contingency events that is not always optimal due to either failure of the state estimation system or due to the incorrect subjective assessment of the severity associated with these events. This further allows us to use a game theoretic framework for casting the optimization of the operator's response into the choice of the optimal strategy which minimizes the operating cost. We use a simple strategy space which is the degree of tolerance to line overloads and which is an automatic control (optimization) parameter that can be adjusted to trade off automatic load shed without propagating cascades versus reduced load shed and an increased risk of propagating cascades. The tolerance parameter is chosen to describes a smooth transition from a risk averse to a risk taken strategy...
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"abstract": "We introduce a stochastic model that describes the quasi-static dynamics of\nan electric transmission network under perturbations introduced by random load\nfluctuations, random removing of system components from service, random repair\ntimes for the failed components, and random response times to implement optimal\nsystem corrections for removing line overloads in a damaged or stressed\ntransmission network. We use a linear approximation to the network flow\nequations and apply linear programming techniques that optimize the dispatching\nof generators and loads in order to eliminate the network overloads associated\nwith a damaged system. We also provide a simple model for the operator\u0027s\nresponse to various contingency events that is not always optimal due to either\nfailure of the state estimation system or due to the incorrect subjective\nassessment of the severity associated with these events. This further allows us\nto use a game theoretic framework for casting the optimization of the\noperator\u0027s response into the choice of the optimal strategy which minimizes the\noperating cost. We use a simple strategy space which is the degree of tolerance\nto line overloads and which is an automatic control (optimization) parameter\nthat can be adjusted to trade off automatic load shed without propagating\ncascades versus reduced load shed and an increased risk of propagating\ncascades. The tolerance parameter is chosen to describes a smooth transition\nfrom a risk averse to a risk taken strategy...",
"arxiv_id": "physics/0609217",
"authors": [
"Marian Anghel",
"Kenneth A. Werley",
"Adilson E. Motter"
],
"categories": [
"physics.soc-ph",
"cond-mat.dis-nn",
"cond-mat.other",
"cs.OH"
],
"journal_ref": "Proceedings of the Fortieth Hawaii International Conference on\n System Sciences, January 3-6, 2007, Big Island, Hawaii",
"title": "Stochastic Model for Power Grid Dynamics",
"url": "https://arxiv.org/abs/physics/0609217"
},
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