| Presentation | 1997/10/6 The Poincare Section and the Global Structures of the Invariant Manifolds of Two Degrees of Freedom Swing Equation System Yoshitaka Hasegawa, Yoshisuke Ueda, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | One of the application of two degrees of freedom swing equation system is to apply transient stability probrems of electrical power systems, which has studied for a long time. Using the energy function method, there ale many reports for necessary conditions of normal operations. However the whole structure of the phase space is less known because of not enough approaches of geometrical methods which are applied to many nonlinear differential equation systems. In this report, under numerical calculations, we consider the structures of the invariant manifolds of the closed orbits which are arround the unstable equilibrium points (index=1). We don't recommand here the much unbalanced inertial ratio such as other reports. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | transient stability / two degrees of freedom swing equation / Hamiltonian system invariant manifold / Poincare section / handle decomposition |
| Paper # | NLP97-85-98 |
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| Conference Information | |
| Committee | NLP |
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| Conference Date | 1997/10/6(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Nonlinear Problems (NLP) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | The Poincare Section and the Global Structures of the Invariant Manifolds of Two Degrees of Freedom Swing Equation System |
| Sub Title (in English) | |
| Keyword(1) | transient stability |
| Keyword(2) | two degrees of freedom swing equation |
| Keyword(3) | Hamiltonian system invariant manifold |
| Keyword(4) | Poincare section |
| Keyword(5) | handle decomposition |
| 1st Author's Name | Yoshitaka Hasegawa |
| 1st Author's Affiliation | Department of Electrical Engineering, Kyoto University() |
| 2nd Author's Name | Yoshisuke Ueda |
| 2nd Author's Affiliation | Department of Electrical Engineering, Kyoto University |
| Date | 1997/10/6 |
| Paper # | NLP97-85-98 |
| Volume (vol) | vol.97 |
| Number (no) | 300 |
| Page | pp.pp.- |
| #Pages | 10 |
| Date of Issue | |