Second-order continuous-time algorithm for optimal resource allocation in power systems
In this paper, based on differential inclusions and the saddle point dynamics, a novel second-order continuous-time algorithm is proposed to solve the optimal resource allocation problem in power systems. The considered cost function is the sum of all local cost functions with a set of affine equali...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2021
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/150999 |
| _version_ | 1811681087641878528 |
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| author | Wang, Dong Wang, Zhu Wen, Changyun Wang, Wei |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Wang, Dong Wang, Zhu Wen, Changyun Wang, Wei |
| author_sort | Wang, Dong |
| collection | NTU |
| description | In this paper, based on differential inclusions and the saddle point dynamics, a novel second-order continuous-time algorithm is proposed to solve the optimal resource allocation problem in power systems. The considered cost function is the sum of all local cost functions with a set of affine equality demand constraints and an inequality constraint on generating capacity of the generator. In virtue of nonsmooth analysis, geometric graph theory, and Lyapunov stability theory, all generators achieve consensus on the Lagrange multipliers associated with a set of affine equality constraints while the proposed algorithm converges exponentially to the optimal solution of the resource allocation problem starting from any initial states over an undirected and connected graph. Moreover, the obtained results can be further extended to the optimal resource allocation problem in case of switching communication topologies. Finally, two numerical examples involving a smart grid system composed of five generators and the IEEE 30-bus system demonstrate the effectiveness and the performance of the theoretical results. |
| first_indexed | 2024-10-01T03:35:22Z |
| format | Journal Article |
| id | ntu-10356/150999 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:35:22Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | ntu-10356/1509992021-06-02T09:02:56Z Second-order continuous-time algorithm for optimal resource allocation in power systems Wang, Dong Wang, Zhu Wen, Changyun Wang, Wei School of Mechanical and Aerospace Engineering Engineering::Mechanical engineering IEEE 30-bus System Nonsmooth Analysis In this paper, based on differential inclusions and the saddle point dynamics, a novel second-order continuous-time algorithm is proposed to solve the optimal resource allocation problem in power systems. The considered cost function is the sum of all local cost functions with a set of affine equality demand constraints and an inequality constraint on generating capacity of the generator. In virtue of nonsmooth analysis, geometric graph theory, and Lyapunov stability theory, all generators achieve consensus on the Lagrange multipliers associated with a set of affine equality constraints while the proposed algorithm converges exponentially to the optimal solution of the resource allocation problem starting from any initial states over an undirected and connected graph. Moreover, the obtained results can be further extended to the optimal resource allocation problem in case of switching communication topologies. Finally, two numerical examples involving a smart grid system composed of five generators and the IEEE 30-bus system demonstrate the effectiveness and the performance of the theoretical results. 2021-06-02T09:02:56Z 2021-06-02T09:02:56Z 2018 Journal Article Wang, D., Wang, Z., Wen, C. & Wang, W. (2018). Second-order continuous-time algorithm for optimal resource allocation in power systems. IEEE Transactions On Industrial Informatics, 15(2), 626-637. https://dx.doi.org/10.1109/TII.2018.2881974 1551-3203 0000-0002-2493-1032 0000-0001-9530-360X 0000-0001-7608-7438 https://hdl.handle.net/10356/150999 10.1109/TII.2018.2881974 2-s2.0-85056739981 2 15 626 637 en IEEE Transactions on Industrial Informatics © 2018 IEEE. All rights reserved. |
| spellingShingle | Engineering::Mechanical engineering IEEE 30-bus System Nonsmooth Analysis Wang, Dong Wang, Zhu Wen, Changyun Wang, Wei Second-order continuous-time algorithm for optimal resource allocation in power systems |
| title | Second-order continuous-time algorithm for optimal resource allocation in power systems |
| title_full | Second-order continuous-time algorithm for optimal resource allocation in power systems |
| title_fullStr | Second-order continuous-time algorithm for optimal resource allocation in power systems |
| title_full_unstemmed | Second-order continuous-time algorithm for optimal resource allocation in power systems |
| title_short | Second-order continuous-time algorithm for optimal resource allocation in power systems |
| title_sort | second order continuous time algorithm for optimal resource allocation in power systems |
| topic | Engineering::Mechanical engineering IEEE 30-bus System Nonsmooth Analysis |
| url | https://hdl.handle.net/10356/150999 |
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