Non-parametric probabilistic load flow using Gaussian process learning
The load flow problem is fundamental to characterize the equilibrium behavior of a power system. Uncertain power injections such as those due to demand variations and intermittent renewable resources will change the system's equilibrium unexpectedly, and thus potentially jeopardizing the system...
| 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/10356/150720 |
| _version_ | 1811684700405628928 |
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| author | Pareek, Parikshit Wang, Chuan Nguyen, Hung Dinh |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Pareek, Parikshit Wang, Chuan Nguyen, Hung Dinh |
| author_sort | Pareek, Parikshit |
| collection | NTU |
| description | The load flow problem is fundamental to characterize the equilibrium behavior of a power system. Uncertain power injections such as those due to demand variations and intermittent renewable resources will change the system's equilibrium unexpectedly, and thus potentially jeopardizing the system's reliability and stability. Understanding load flow solutions under uncertainty becomes imperative to ensure the seamless operation of a power system. In this work, we propose a non-parametric probabilistic load flow (NP-PLF) technique based on the Gaussian Process (GP) learning to understand the power system behavior under uncertainty for better operational decisions. The technique can provide ``\textit{semi-explicit}'' form of load flow solutions by implementing the learning and testing steps that map control variables to inputs. The proposed NP-PLF leverages upon GP upper confidence bound (GP-UCB) sampling algorithm. The salient features of this NP-PLF method are: i) applicable for power flow problem having power injection uncertainty with an unknown class of distribution; ii) providing probabilistic learning bound (PLB) which further provides control over the error and convergence; iii) capable of handling intermittent distributed generation as well as load uncertainties. The simulation results performed on the IEEE 30-bus and IEEE 118-bus system show that the proposed method can learn the voltage function over the power injection subspace using a small number of training samples. Further, the testing with different input uncertainty distributions indicates that complete statistical information can be obtained for the probabilistic load flow problem with an average percentage relative error of the order of 10-3% on 50,000 test points. |
| first_indexed | 2024-10-01T04:32:48Z |
| format | Journal Article |
| id | ntu-10356/150720 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T04:32:48Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | ntu-10356/1507202021-06-07T07:30:11Z Non-parametric probabilistic load flow using Gaussian process learning Pareek, Parikshit Wang, Chuan Nguyen, Hung Dinh School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Probabilistic Power FLow Gaussian Process Learning The load flow problem is fundamental to characterize the equilibrium behavior of a power system. Uncertain power injections such as those due to demand variations and intermittent renewable resources will change the system's equilibrium unexpectedly, and thus potentially jeopardizing the system's reliability and stability. Understanding load flow solutions under uncertainty becomes imperative to ensure the seamless operation of a power system. In this work, we propose a non-parametric probabilistic load flow (NP-PLF) technique based on the Gaussian Process (GP) learning to understand the power system behavior under uncertainty for better operational decisions. The technique can provide ``\textit{semi-explicit}'' form of load flow solutions by implementing the learning and testing steps that map control variables to inputs. The proposed NP-PLF leverages upon GP upper confidence bound (GP-UCB) sampling algorithm. The salient features of this NP-PLF method are: i) applicable for power flow problem having power injection uncertainty with an unknown class of distribution; ii) providing probabilistic learning bound (PLB) which further provides control over the error and convergence; iii) capable of handling intermittent distributed generation as well as load uncertainties. The simulation results performed on the IEEE 30-bus and IEEE 118-bus system show that the proposed method can learn the voltage function over the power injection subspace using a small number of training samples. Further, the testing with different input uncertainty distributions indicates that complete statistical information can be obtained for the probabilistic load flow problem with an average percentage relative error of the order of 10-3% on 50,000 test points. Ministry of Education (MOE) Accepted version 2021-06-07T07:30:10Z 2021-06-07T07:30:10Z 2021 Journal Article Pareek, P., Wang, C. & Nguyen, H. D. (2021). Non-parametric probabilistic load flow using Gaussian process learning. Physica D: Nonlinear Phenomena, 424, 132941-. https://dx.doi.org/10.1016/j.physd.2021.132941 0167-2789 https://hdl.handle.net/10356/150720 10.1016/j.physd.2021.132941 424 132941 en Physica D: Nonlinear Phenomena © 2021 Elsevier. All rights reserved. This paper was published in Physica D: Nonlinear Phenomena and is made available with permission of Elsevier. application/pdf |
| spellingShingle | Engineering::Electrical and electronic engineering Probabilistic Power FLow Gaussian Process Learning Pareek, Parikshit Wang, Chuan Nguyen, Hung Dinh Non-parametric probabilistic load flow using Gaussian process learning |
| title | Non-parametric probabilistic load flow using Gaussian process learning |
| title_full | Non-parametric probabilistic load flow using Gaussian process learning |
| title_fullStr | Non-parametric probabilistic load flow using Gaussian process learning |
| title_full_unstemmed | Non-parametric probabilistic load flow using Gaussian process learning |
| title_short | Non-parametric probabilistic load flow using Gaussian process learning |
| title_sort | non parametric probabilistic load flow using gaussian process learning |
| topic | Engineering::Electrical and electronic engineering Probabilistic Power FLow Gaussian Process Learning |
| url | https://hdl.handle.net/10356/150720 |
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