Gaussian Process Learning-based Probabilistic Optimal Power Flow
In this letter, we present a novel Gaussian Process Learning-based Probabilistic Optimal Power Flow (GP-POPF) for solving POPF under renewable and load uncertainties of arbitrary distribution. The proposed method relies on a non-parametric Bayesian inference-based uncertainty propagation approach, c...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2021
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| Online Access: | https://hdl.handle.net/10356/150725 |
| _version_ | 1824456594269667328 |
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| author | Pareek, Parikshit Nguyen, Hung D. |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Pareek, Parikshit Nguyen, Hung D. |
| author_sort | Pareek, Parikshit |
| collection | NTU |
| description | In this letter, we present a novel Gaussian Process Learning-based Probabilistic Optimal Power Flow (GP-POPF) for solving POPF under renewable and load uncertainties of arbitrary distribution. The proposed method relies on a non-parametric Bayesian inference-based uncertainty propagation approach, called Gaussian Process (GP). We also suggest a new type of sensitivity called Subspace-wise Sensitivity, using observations on the interpretability of GP-POPF hyperparameters. The simulation results on 14-bus and 30-bus systems show that the proposed method provides reasonably accurate solutions when compared with Monte-Carlo Simulations (MCS) solutions at different levels of uncertain renewable penetration and load uncertainties. The proposed method requires a lesser number of samples and elapsed time. The non-parametric nature of the proposed method is manifested by testing uncertain injections that follow various distributions in the 118-bus system. The low error value results verify the proposed method's capability of working with different types of input uncertainty distributions. |
| first_indexed | 2025-02-19T03:56:35Z |
| format | Journal Article |
| id | ntu-10356/150725 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:56:35Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | ntu-10356/1507252021-06-08T14:14:48Z Gaussian Process Learning-based Probabilistic Optimal Power Flow Pareek, Parikshit Nguyen, Hung D. School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Uncertainty Ground Penetrating Radar In this letter, we present a novel Gaussian Process Learning-based Probabilistic Optimal Power Flow (GP-POPF) for solving POPF under renewable and load uncertainties of arbitrary distribution. The proposed method relies on a non-parametric Bayesian inference-based uncertainty propagation approach, called Gaussian Process (GP). We also suggest a new type of sensitivity called Subspace-wise Sensitivity, using observations on the interpretability of GP-POPF hyperparameters. The simulation results on 14-bus and 30-bus systems show that the proposed method provides reasonably accurate solutions when compared with Monte-Carlo Simulations (MCS) solutions at different levels of uncertain renewable penetration and load uncertainties. The proposed method requires a lesser number of samples and elapsed time. The non-parametric nature of the proposed method is manifested by testing uncertain injections that follow various distributions in the 118-bus system. The low error value results verify the proposed method's capability of working with different types of input uncertainty distributions. Accepted version 2021-06-08T14:14:48Z 2021-06-08T14:14:48Z 2021 Journal Article Pareek, P. & Nguyen, H. D. (2021). Gaussian Process Learning-based Probabilistic Optimal Power Flow. IEEE Transactions On Power Systems, 36(1), 541-544. https://dx.doi.org/10.1109/TPWRS.2020.3031765 1558-0679 0000-0003-4688-2021 0000-0003-2610-5161 https://hdl.handle.net/10356/150725 10.1109/TPWRS.2020.3031765 2-s2.0-85099403006 1 36 541 544 en IEEE Transactions on Power Systems © 2021 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. The published version is available at: https://doi.org/10.1109/TPWRS.2020.3031765 application/pdf |
| spellingShingle | Engineering::Electrical and electronic engineering Uncertainty Ground Penetrating Radar Pareek, Parikshit Nguyen, Hung D. Gaussian Process Learning-based Probabilistic Optimal Power Flow |
| title | Gaussian Process Learning-based Probabilistic Optimal Power Flow |
| title_full | Gaussian Process Learning-based Probabilistic Optimal Power Flow |
| title_fullStr | Gaussian Process Learning-based Probabilistic Optimal Power Flow |
| title_full_unstemmed | Gaussian Process Learning-based Probabilistic Optimal Power Flow |
| title_short | Gaussian Process Learning-based Probabilistic Optimal Power Flow |
| title_sort | gaussian process learning based probabilistic optimal power flow |
| topic | Engineering::Electrical and electronic engineering Uncertainty Ground Penetrating Radar |
| url | https://hdl.handle.net/10356/150725 |
| work_keys_str_mv | AT pareekparikshit gaussianprocesslearningbasedprobabilisticoptimalpowerflow AT nguyenhungd gaussianprocesslearningbasedprobabilisticoptimalpowerflow |