Transient Energy of an Individual Machine PART II: Potential Energy Surface
In this second paper, the individual-machine potential energy surface is established. The constant-<inline-formula> <tex-math notation="LaTeX">$\theta _{i}$ </tex-math></inline-formula> angle surface of the machine is found in the angle space. Because the individual...
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/9404158/ |
| _version_ | 1811210306911731712 |
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| author | Songyan Wang Jilai Yu Aoife M. Foley Wei Zhang |
| author_facet | Songyan Wang Jilai Yu Aoife M. Foley Wei Zhang |
| author_sort | Songyan Wang |
| collection | DOAJ |
| description | In this second paper, the individual-machine potential energy surface is established. The constant-<inline-formula> <tex-math notation="LaTeX">$\theta _{i}$ </tex-math></inline-formula> angle surface of the machine is found in the angle space. Because the individual-machine potential energy is strictly zero in this angle surface, the constant-<inline-formula> <tex-math notation="LaTeX">$\theta _{i}$ </tex-math></inline-formula> angle surface has a significant effect on the shape of the individual-machine potential energy surface. That is, the individual-machine potential energy surface is separated by a flat land, and mountains and valleys are located on either side of this flat land. In addition, a zero-<inline-formula> <tex-math notation="LaTeX">$f_{i}$ </tex-math></inline-formula> angle surface also exists in the individual-machine potential energy surface. The individual-machine potential energy reaches a minimum or maximum at the surface. Using a scissor angle surface, the individual machine potential energy boundary that reflects the maximum individual-machine potential energy is obtained through the cut of the zero-<inline-formula> <tex-math notation="LaTeX">$f_{i}$ </tex-math></inline-formula> angle surface. The machine becomes unstable after the system trajectory goes through the individual machine potential energy boundary. In the end, key concepts and distinctive phenomena in the individual-machine studies are fully explained using the concept of individual-machine potential energy surface. |
| first_indexed | 2024-04-12T04:53:26Z |
| format | Article |
| id | doaj.art-5a40dad28a49430cbbc8c42dddd83cd0 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-12T04:53:26Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-5a40dad28a49430cbbc8c42dddd83cd02022-12-22T03:47:14ZengIEEEIEEE Access2169-35362021-01-019602236024310.1109/ACCESS.2021.30731179404158Transient Energy of an Individual Machine PART II: Potential Energy SurfaceSongyan Wang0https://orcid.org/0000-0002-2926-382XJilai Yu1https://orcid.org/0000-0002-5691-2741Aoife M. Foley2https://orcid.org/0000-0001-6491-2592Wei Zhang3https://orcid.org/0000-0001-6427-3946Department of Electrical Engineering, Harbin Institute of Technology, Harbin, ChinaDepartment of Electrical Engineering, Harbin Institute of Technology, Harbin, ChinaSchool of Mechanical and Aerospace Engineering, Queen’s University Belfast, Belfast, U.K.Department of Electrical Engineering, Harbin Institute of Technology, Harbin, ChinaIn this second paper, the individual-machine potential energy surface is established. The constant-<inline-formula> <tex-math notation="LaTeX">$\theta _{i}$ </tex-math></inline-formula> angle surface of the machine is found in the angle space. Because the individual-machine potential energy is strictly zero in this angle surface, the constant-<inline-formula> <tex-math notation="LaTeX">$\theta _{i}$ </tex-math></inline-formula> angle surface has a significant effect on the shape of the individual-machine potential energy surface. That is, the individual-machine potential energy surface is separated by a flat land, and mountains and valleys are located on either side of this flat land. In addition, a zero-<inline-formula> <tex-math notation="LaTeX">$f_{i}$ </tex-math></inline-formula> angle surface also exists in the individual-machine potential energy surface. The individual-machine potential energy reaches a minimum or maximum at the surface. Using a scissor angle surface, the individual machine potential energy boundary that reflects the maximum individual-machine potential energy is obtained through the cut of the zero-<inline-formula> <tex-math notation="LaTeX">$f_{i}$ </tex-math></inline-formula> angle surface. The machine becomes unstable after the system trajectory goes through the individual machine potential energy boundary. In the end, key concepts and distinctive phenomena in the individual-machine studies are fully explained using the concept of individual-machine potential energy surface.https://ieeexplore.ieee.org/document/9404158/Transient stabilitytransient energyindividual machinepotential energy surface |
| spellingShingle | Songyan Wang Jilai Yu Aoife M. Foley Wei Zhang Transient Energy of an Individual Machine PART II: Potential Energy Surface IEEE Access Transient stability transient energy individual machine potential energy surface |
| title | Transient Energy of an Individual Machine PART II: Potential Energy Surface |
| title_full | Transient Energy of an Individual Machine PART II: Potential Energy Surface |
| title_fullStr | Transient Energy of an Individual Machine PART II: Potential Energy Surface |
| title_full_unstemmed | Transient Energy of an Individual Machine PART II: Potential Energy Surface |
| title_short | Transient Energy of an Individual Machine PART II: Potential Energy Surface |
| title_sort | transient energy of an individual machine part ii potential energy surface |
| topic | Transient stability transient energy individual machine potential energy surface |
| url | https://ieeexplore.ieee.org/document/9404158/ |
| work_keys_str_mv | AT songyanwang transientenergyofanindividualmachinepartiipotentialenergysurface AT jilaiyu transientenergyofanindividualmachinepartiipotentialenergysurface AT aoifemfoley transientenergyofanindividualmachinepartiipotentialenergysurface AT weizhang transientenergyofanindividualmachinepartiipotentialenergysurface |