An Analytical Model to Evaluate the Effects of Wind Turbine Parameters and the Probabilistic Characteristic of Wind Speed on the Average LMP of the Power Market
With the increase of wind penetration in the power systems, analysis of the probabilistic production on the market prices becomes more essential. Researches in this field are often focused on the simulation tools and analytical modeling is rarely used. The aim of this paper is to provide an analytic...
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| Format: | Article |
| Language: | fas |
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Semnan University
2020-10-01
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| Series: | مجله مدل سازی در مهندسی |
| Subjects: | |
| Online Access: | https://modelling.semnan.ac.ir/article_4675_66359cc8def636cf8625cad32837e266.pdf |
| _version_ | 1797296574342103040 |
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| author | Elahe Zakikhani Mahdi Samadi Mohammad Ebrahim Hajiabadi |
| author_facet | Elahe Zakikhani Mahdi Samadi Mohammad Ebrahim Hajiabadi |
| author_sort | Elahe Zakikhani |
| collection | DOAJ |
| description | With the increase of wind penetration in the power systems, analysis of the probabilistic production on the market prices becomes more essential. Researches in this field are often focused on the simulation tools and analytical modeling is rarely used. The aim of this paper is to provide an analytical method for assessing the effects of wind power plants on the Locational Marginal Price (LMP) based on some strong mathematical foundation. In order to achieve this goal, we utilize the LMP decomposition in the transmission-constrained electricity market. In this regard, using Rayleigh distribution for wind speed, nonlinear relationship between the wind power output and the wind speed and mathematical principles of probability, the probability density function of the wind power is determined analytically. Then, the average wind power with a precise mathematical formulation is obtained in a closed form and as a function of the wind turbine parameters and the probabilistic characteristic of wind speed. Finally, for the average LMP of each bus, an exact analytical relationship is determined. The proposed method is tested on the IEEE 24 bus system. The results show the efficiency of the proposed model. |
| first_indexed | 2024-03-07T22:06:44Z |
| format | Article |
| id | doaj.art-f7a9d27171c84c938e0c14590912c4ae |
| institution | Directory Open Access Journal |
| issn | 2008-4854 2783-2538 |
| language | fas |
| last_indexed | 2024-03-07T22:06:44Z |
| publishDate | 2020-10-01 |
| publisher | Semnan University |
| record_format | Article |
| series | مجله مدل سازی در مهندسی |
| spelling | doaj.art-f7a9d27171c84c938e0c14590912c4ae2024-02-23T19:07:42ZfasSemnan Universityمجله مدل سازی در مهندسی2008-48542783-25382020-10-011862314210.22075/jme.2019.17192.16874675An Analytical Model to Evaluate the Effects of Wind Turbine Parameters and the Probabilistic Characteristic of Wind Speed on the Average LMP of the Power MarketElahe Zakikhani0Mahdi Samadi1Mohammad Ebrahim Hajiabadi2Electrical and computer engineering faculty, Hakim Sabzevari univerisity, Sabzevar, IranElectrical and Computer Engineering Faculty, Hakim Sabzevari univerisity, Sabzevar, Iran.Hakim Sabzevari UniversityWith the increase of wind penetration in the power systems, analysis of the probabilistic production on the market prices becomes more essential. Researches in this field are often focused on the simulation tools and analytical modeling is rarely used. The aim of this paper is to provide an analytical method for assessing the effects of wind power plants on the Locational Marginal Price (LMP) based on some strong mathematical foundation. In order to achieve this goal, we utilize the LMP decomposition in the transmission-constrained electricity market. In this regard, using Rayleigh distribution for wind speed, nonlinear relationship between the wind power output and the wind speed and mathematical principles of probability, the probability density function of the wind power is determined analytically. Then, the average wind power with a precise mathematical formulation is obtained in a closed form and as a function of the wind turbine parameters and the probabilistic characteristic of wind speed. Finally, for the average LMP of each bus, an exact analytical relationship is determined. The proposed method is tested on the IEEE 24 bus system. The results show the efficiency of the proposed model.https://modelling.semnan.ac.ir/article_4675_66359cc8def636cf8625cad32837e266.pdfelectricity marketanalytical modelingweibull distributionwind turbine parameterslocational marginal price |
| spellingShingle | Elahe Zakikhani Mahdi Samadi Mohammad Ebrahim Hajiabadi An Analytical Model to Evaluate the Effects of Wind Turbine Parameters and the Probabilistic Characteristic of Wind Speed on the Average LMP of the Power Market مجله مدل سازی در مهندسی electricity market analytical modeling weibull distribution wind turbine parameters locational marginal price |
| title | An Analytical Model to Evaluate the Effects of Wind Turbine Parameters and the Probabilistic Characteristic of Wind Speed on the Average LMP of the Power Market |
| title_full | An Analytical Model to Evaluate the Effects of Wind Turbine Parameters and the Probabilistic Characteristic of Wind Speed on the Average LMP of the Power Market |
| title_fullStr | An Analytical Model to Evaluate the Effects of Wind Turbine Parameters and the Probabilistic Characteristic of Wind Speed on the Average LMP of the Power Market |
| title_full_unstemmed | An Analytical Model to Evaluate the Effects of Wind Turbine Parameters and the Probabilistic Characteristic of Wind Speed on the Average LMP of the Power Market |
| title_short | An Analytical Model to Evaluate the Effects of Wind Turbine Parameters and the Probabilistic Characteristic of Wind Speed on the Average LMP of the Power Market |
| title_sort | analytical model to evaluate the effects of wind turbine parameters and the probabilistic characteristic of wind speed on the average lmp of the power market |
| topic | electricity market analytical modeling weibull distribution wind turbine parameters locational marginal price |
| url | https://modelling.semnan.ac.ir/article_4675_66359cc8def636cf8625cad32837e266.pdf |
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