{"id":1520,"date":"2023-05-02T16:37:04","date_gmt":"2023-05-02T21:37:04","guid":{"rendered":"https:\/\/iienergyplus.com\/?p=1520"},"modified":"2024-06-14T23:32:22","modified_gmt":"2024-06-15T04:32:22","slug":"determining-weibull-parameters","status":"publish","type":"post","link":"https:\/\/ienergyplus.com\/es\/determining-weibull-parameters\/","title":{"rendered":"Ejemplo pr\u00e1ctico: Determinaci\u00f3n de los par\u00e1metros de Weibull en la distribuci\u00f3n de la velocidad del viento paso a paso."},"content":{"rendered":"<p class=\"wp-block-paragraph\">The precise estimation of Weibull parameters in wind speed distribution is crucial for analyzing and developing wind energy projects. In this article, we provide a practical step-by-step example that demonstrates how to accurately determine these parameters. Through statistical analysis and the use of mathematical methods, <strong>you will learn how to estimate the scale parameter (c) and shape parameter (k) of the Weibull distribution<\/strong>. A deep understanding of these parameters is essential for planning and optimizing wind energy production. However, it&#8217;s important to note that the effectiveness of the methods may vary depending on the wind speed conditions, i.e., the specific study location.<\/p>\n\n\n\n<script async src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js?client=ca-pub-3911300806559936\"\n     crossorigin=\"anonymous\"><\/script>\n<ins class=\"adsbygoogle\"\n     style=\"display:block; text-align:center;\"\n     data-ad-layout=\"in-article\"\n     data-ad-format=\"fluid\"\n     data-ad-client=\"ca-pub-3911300806559936\"\n     data-ad-slot=\"5253780696\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<h2 class=\"wp-block-heading\">Example statement<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Tenemos disponible los datos de la magnitud promedio de las velocidades del viento, medidos cada hora a una altura de 120 metros, durante todo un a\u00f1o. Esto nos proporciona un total de 8,760 puntos de datos de velocidades del viento. <\/p>\n\n\n\n<p class=\"wp-block-paragraph translation-block\">Datos de viento utilizados en la aplicaci\u00f3n: <a href=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/02\/Wind_data.xlsx\" data-type=\"URL\" data-id=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/02\/Wind_data.xlsx\" target=\"_self\">Descargar<\/a><\/p>\n\n\n\n<p class=\"wp-block-paragraph translation-block\"><strong>La Figura 1<\/strong> muestra las magnitudes de las velocidades del viento a lo largo de un a\u00f1o, bas\u00e1ndose en los datos obtenidos del enlace anterior. Analizar las velocidades del viento de esta manera es complejo y no es adecuado para el an\u00e1lisis.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"531\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/Wind-speed-1-1024x531.png\" alt=\"\" class=\"wp-image-1538\" style=\"width:848px;height:440px\" srcset=\"https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Wind-speed-1-1024x531.png 1024w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Wind-speed-1-300x156.png 300w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Wind-speed-1-768x398.png 768w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Wind-speed-1-1536x796.png 1536w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Wind-speed-1-2048x1062.png 2048w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Wind-speed-1-18x9.png 18w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">Figura 1: Magnitud de la velocidad del viento durante un a\u00f1o, registrada cada hora.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Por otro lado, representar las velocidades del viento en forma de histograma con intervalos de velocidad del viento de 1 m\/s es mucho m\u00e1s sencillo y f\u00e1cil de entender.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"639\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-1024x639.png\" alt=\"\" class=\"wp-image-1537\" style=\"width:824px;height:514px\" srcset=\"https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-1024x639.png 1024w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-300x187.png 300w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-768x479.png 768w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-1536x958.png 1536w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-2048x1278.png 2048w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-18x12.png 18w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Figura 2: Histograma de velocidades del viento durante un a\u00f1o.<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph translation-block\">A continuaci\u00f3n, obtenemos los par\u00e1metros k y c de la <a href=\"https:\/\/iienergyplus.com\/estimate-weibull-parameters\/\" data-type=\"URL\" data-id=\"https:\/\/iienergyplus.com\/estimate-weibull-parameters\/\" target=\"_self\">distribuci\u00f3n de Weibull<\/a> utilizando diferentes m\u00e9todos num\u00e9ricos.<\/p>\n\n\n\n<script async src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js?client=ca-pub-3911300806559936\"\n     crossorigin=\"anonymous\"><\/script>\n<ins class=\"adsbygoogle\"\n     style=\"display:block; text-align:center;\"\n     data-ad-layout=\"in-article\"\n     data-ad-format=\"fluid\"\n     data-ad-client=\"ca-pub-3911300806559936\"\n     data-ad-slot=\"5253780696\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<h2 class=\"wp-block-heading translation-block\">a) <strong> Mediante el m\u00e9todo de estimaci\u00f3n de m\u00ednimos cuadrados<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph translation-block\">Los 8760 puntos de datos se dividen en rangos de velocidad del viento iguales para calcular la distribuci\u00f3n de la velocidad del viento y la distribuci\u00f3n de frecuencias relativas. La  <strong>Tabla 1<\/strong> muestra los rangos establecidos y los c\u00e1lculos realizados para determinar los par\u00e1metros \"k\" y \"c\" de la distribuci\u00f3n de Weibull.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"419\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-MC-1024x419.webp\" alt=\"\" class=\"wp-image-1539\" srcset=\"https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-MC-1024x419.webp 1024w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-MC-300x123.webp 300w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-MC-768x315.webp 768w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-MC-1536x629.webp 1536w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-MC-18x7.webp 18w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Table-MC.webp 1719w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Tabla 1: Tabla de frecuencias relativas, frecuencias acumuladas y c\u00e1lculos auxiliares.<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Luego, utilizando las ecuaciones para calcular \"a\", \"b\" y \"c\", se obtienen los siguientes valores:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\"><strong>a = k =<\/strong> 3.334 ; <strong>b =<\/strong> -6.808 ; <strong>c =<\/strong> 7.707<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">La Figura 3 muestra el gr\u00e1fico del ajuste lineal por m\u00ednimos cuadrados.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"534\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/Adjustment-by-least-squares-method-1024x534.png\" alt=\"\" class=\"wp-image-1544\" style=\"width:880px;height:459px\" srcset=\"https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Adjustment-by-least-squares-method-1024x534.png 1024w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Adjustment-by-least-squares-method-300x156.png 300w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Adjustment-by-least-squares-method-768x400.png 768w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Adjustment-by-least-squares-method-1536x801.png 1536w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Adjustment-by-least-squares-method-2048x1068.png 2048w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Adjustment-by-least-squares-method-18x9.png 18w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Figure 3: Adjustment by least squares method.<\/figcaption><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><br>Por lo tanto, la distribuci\u00f3n de Weibull:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/Weibull_distribuition_1.svg\" alt=\"\" class=\"wp-image-1551\" style=\"width:436px;height:56px\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading translation-block\">b) <strong>Mediante el m\u00e9todo del factor de patr\u00f3n de energ\u00eda<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">El valor del Factor de Patr\u00f3n de Energ\u00eda se calcula utilizando los datos de velocidad del viento del enlace anterior.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/PE_1.svg\" alt=\"\" class=\"wp-image-1552\" style=\"width:340px;height:66px\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><br>Se calcula el valor del par\u00e1metro de forma:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/PE_2.svg\" alt=\"\" class=\"wp-image-1553\" style=\"width:421px;height:70px\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Se calcula el valor del par\u00e1metro de escala: <\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/PE_3.svg\" alt=\"\" class=\"wp-image-1554\" style=\"width:382px;height:69px\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Por lo tanto, la distribuci\u00f3n de Weibull:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/Weibull_distribuition_2.svg\" alt=\"\" class=\"wp-image-1555\" style=\"width:462px;height:60px\"\/><\/figure>\n\n\n\n<script async src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js?client=ca-pub-3911300806559936\"\n     crossorigin=\"anonymous\"><\/script>\n<ins class=\"adsbygoogle\"\n     style=\"display:block; text-align:center;\"\n     data-ad-layout=\"in-article\"\n     data-ad-format=\"fluid\"\n     data-ad-client=\"ca-pub-3911300806559936\"\n     data-ad-slot=\"5253780696\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<h2 class=\"wp-block-heading translation-block\">c) <strong>Por el m\u00e9todo emp\u00edrico<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Se calcula el valor del par\u00e1metro de forma:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/Weibull_distribuition_4.svg\" alt=\"\" class=\"wp-image-1556\" style=\"width:531px;height:66px\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Se calcula el valor del par\u00e1metro de escala: <\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/Weibull_distribuition_5.svg\" alt=\"\" class=\"wp-image-1557\" style=\"width:365px;height:68px\"\/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Por lo tanto, la distribuci\u00f3n de Weibull:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/Weibull_distribuition_3.svg\" alt=\"\" class=\"wp-image-1563\" style=\"width:438px;height:57px\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading translation-block\">d) <strong>Por el m\u00e9todo de m\u00e1xima verosimilitud<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Para el m\u00e9todo de m\u00e1xima verosimilitud, utilizamos la funci\u00f3n de MATLAB wblfit(v), que se utiliza para ajustar una distribuci\u00f3n de Weibull a un conjunto de datos y devuelve una matriz que contiene los valores estimados de los par\u00e1metros de Weibull. En otra publicaci\u00f3n, se explicar\u00e1 el algoritmo con m\u00e1s detalle paso a paso. A continuaci\u00f3n, se muestra el c\u00f3digo para calcular los par\u00e1metros:<\/p>\n\n\n\n<pre class=\"wp-block-code has-palette-color-1-color has-text-color\"><code>Wind=xlsread('source of wind speed information');\n\n% We calculate the parameters of the Weibull distribution\n&#91;parametros, intervalo] = wblfit(Wind);\n\n% We display the results\ndisp(&#91;'The parameters of the Weibull distribution are:']);\ndisp(&#91;'c = ', num2str(parameters(1))]);\ndisp(&#91;'k = ', num2str(parameters(2))]);\ndisp(&#91;'The confidence interval for the parameters is:']);\ndisp(&#91;'&#91;', num2str(interval(1)), ', ', num2str(interval(2)), ']']);<\/code><\/pre>\n\n\n\n<p class=\"has-black-color has-text-color wp-block-paragraph\">Por lo tanto, los par\u00e1metros de Weibull obtenidos son:<\/p>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">c = 8.1721 ; k = 4.9566<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Por lo tanto, la distribuci\u00f3n de Weibull:<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/Weibull_distribuition_6.svg\" alt=\"\" class=\"wp-image-1582\" style=\"width:444px;height:53px\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Comparaci\u00f3n de m\u00e9todos<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">La siguiente tabla muestra un resumen de los valores obtenidos para los par\u00e1metros c y k utilizando los diferentes m\u00e9todos mencionados anteriormente:<\/p>\n\n\n<div class=\"wp-block-wptb-table-block\"><div class=\"wptb-container-legacy\" data-table-id=\"1571\">\n    <table class=\"wptb-preview-table wptb-element-main-table_setting-1571\" data-reconstraction=\"1\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-table-tds-sum-max-width=\"393.63636399999996\" data-wptb-cells-width-auto-count=\"3\" data-wptb-horizontal-scroll-status=\"false\" data-wptb-extra-styles=\"LyogRW50ZXIgeW91ciBjdXN0b20gQ1NTIHJ1bGVzIGhlcmUgKi8=\" role=\"table\" data-table-columns=\"3\"><tbody><tr class=\"wptb-row\"><td class=\"wptb-cell\" data-y-index=\"0\" data-x-index=\"0\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-597\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\"><strong>Method<\/strong><\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"0\" data-x-index=\"1\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-598\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\"><strong>Scale parameter (c)<\/strong><\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"0\" data-x-index=\"2\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-599\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\"><strong>Shape parameter (k)<\/strong><\/p><\/div><\/div><\/td><\/tr><tr class=\"wptb-row\"><td class=\"wptb-cell\" data-y-index=\"1\" data-x-index=\"0\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-600\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">Least squares fitting<\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"1\" data-x-index=\"1\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-601\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">7.707<\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"1\" data-x-index=\"2\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-602\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">3.334<\/p><\/div><\/div><\/td><\/tr><tr class=\"wptb-row\"><td class=\"wptb-cell\" data-y-index=\"2\" data-x-index=\"0\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-603\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\"><p style=\"text-align: center;\">Energy pattern factor<\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"2\" data-x-index=\"1\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-604\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">8.319<\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"2\" data-x-index=\"2\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-605\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">3.741<\/p><\/div><\/div><\/td><\/tr><tr class=\"wptb-row\"><td class=\"wptb-cell\" data-y-index=\"3\" data-x-index=\"0\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-606\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">Empirical<\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"3\" data-x-index=\"1\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-607\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">8.235<\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"3\" data-x-index=\"2\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-608\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">4.469<\/p><\/div><\/div><\/td><\/tr><tr class=\"wptb-row\"><td class=\"wptb-cell\" data-y-index=\"4\" data-x-index=\"0\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-609\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">Maximum likelihood<\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"4\" data-x-index=\"1\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-610\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">8.1721<\/p><\/div><\/div><\/td><td class=\"wptb-cell\" data-y-index=\"4\" data-x-index=\"2\" style=\"border: 1px solid rgb(209, 209, 209);\" data-wptb-css-td-auto-width=\"true\"><div class=\"wptb-text-container wptb-ph-element wptb-element-text-611\" style=\"color: rgb(74, 85, 104); font-size: 15px;\"><div class=\"\" style=\"position: relative;\"><p style=\"text-align: center;\">4.9566<\/p><\/div><\/div><\/td><\/tr><\/tbody><\/table>\n<\/div>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\"><br>En la Figura 4 se muestra la comparaci\u00f3n de la curva de probabilidad de Weibull con los diferentes par\u00e1metros k y c obtenidos utilizando los diversos m\u00e9todos num\u00e9ricos.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"589\" src=\"https:\/\/iienergyplus.com\/wp-content\/uploads\/2023\/06\/Comparison-1-1024x589.png\" alt=\"\" class=\"wp-image-1575\" style=\"width:833px;height:478px\" srcset=\"https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Comparison-1-1024x589.png 1024w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Comparison-1-300x172.png 300w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Comparison-1-768x442.png 768w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Comparison-1-1536x883.png 1536w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Comparison-1-2048x1177.png 2048w, https:\/\/ienergyplus.com\/wp-content\/uploads\/2023\/06\/Comparison-1-18x10.png 18w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Figura 4: Comparaci\u00f3n de m\u00e9todos num\u00e9ricos para el c\u00e1lculo de los par\u00e1metros de Weibull. <\/figcaption><\/figure>\n\n\n\n<script async src=\"https:\/\/pagead2.googlesyndication.com\/pagead\/js\/adsbygoogle.js?client=ca-pub-3911300806559936\"\n     crossorigin=\"anonymous\"><\/script>\n<ins class=\"adsbygoogle\"\n     style=\"display:block; text-align:center;\"\n     data-ad-layout=\"in-article\"\n     data-ad-format=\"fluid\"\n     data-ad-client=\"ca-pub-3911300806559936\"\n     data-ad-slot=\"5253780696\"><\/ins>\n<script>\n     (adsbygoogle = window.adsbygoogle || []).push({});\n<\/script>\n\n\n\n<div class=\"wp-block-stackable-divider stk-block-divider has-text-align-center stk-block stk-23f0e4f is-style-bar\" data-block-id=\"23f0e4f\"><style>.stk-23f0e4f hr.stk-block-divider__hr{background:var(--theme-palette-color-3,#808080) !important;width:100% !important}<\/style><hr class=\"stk-block-divider__hr\"\/><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Conclusi\u00f3n<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Existen varios m\u00e9todos para calcular los par\u00e1metros de la distribuci\u00f3n de Weibull en el an\u00e1lisis de la velocidad del viento, como el ajuste por m\u00ednimos cuadrados, el factor de patr\u00f3n de energ\u00eda, los m\u00e9todos emp\u00edricos y la estimaci\u00f3n de m\u00e1xima verosimilitud. En general, el m\u00e9todo de m\u00e1xima verosimilitud tiende a ser el m\u00e1s preciso. Cada m\u00e9todo tiene sus ventajas y limitaciones, y la elecci\u00f3n depende de las condiciones y los datos disponibles.<\/p>","protected":false},"excerpt":{"rendered":"<p>The precise estimation of Weibull parameters in wind speed distribution is crucial for analyzing and developing wind energy projects. In this article, we provide a practical step-by-step example that demonstrates how to accurately determine these parameters. Through statistical analysis and the use of mathematical methods, you will learn how to estimate the scale parameter (c) [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":1586,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_themeisle_gutenberg_block_has_review":false,"footnotes":""},"categories":[7],"tags":[],"class_list":["post-1520","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-wind_resource"],"blocksy_meta":[],"_links":{"self":[{"href":"https:\/\/ienergyplus.com\/es\/wp-json\/wp\/v2\/posts\/1520","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ienergyplus.com\/es\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ienergyplus.com\/es\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ienergyplus.com\/es\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ienergyplus.com\/es\/wp-json\/wp\/v2\/comments?post=1520"}],"version-history":[{"count":24,"href":"https:\/\/ienergyplus.com\/es\/wp-json\/wp\/v2\/posts\/1520\/revisions"}],"predecessor-version":[{"id":1946,"href":"https:\/\/ienergyplus.com\/es\/wp-json\/wp\/v2\/posts\/1520\/revisions\/1946"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ienergyplus.com\/es\/wp-json\/wp\/v2\/media\/1586"}],"wp:attachment":[{"href":"https:\/\/ienergyplus.com\/es\/wp-json\/wp\/v2\/media?parent=1520"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ienergyplus.com\/es\/wp-json\/wp\/v2\/categories?post=1520"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ienergyplus.com\/es\/wp-json\/wp\/v2\/tags?post=1520"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}