{"id":203915,"date":"2025-05-23T16:31:18","date_gmt":"2025-05-23T14:31:18","guid":{"rendered":"https:\/\/www.rse-web.it\/pubblicazioni\/higher-order-statistics-extension-to-three-phase-systems-in-the-power-quality-framework\/"},"modified":"2025-05-23T16:36:23","modified_gmt":"2025-05-23T14:36:23","slug":"higher-order-statistics-extension-to-three-phase-systems-in-the-power-quality-framework","status":"publish","type":"pubblicazioni","link":"https:\/\/www.rse-web.it\/en\/publications\/higher-order-statistics-extension-to-three-phase-systems-in-the-power-quality-framework\/","title":{"rendered":"Higher-Order Statistics Extension to Three-Phase Systems in the Power Quality Framework"},"content":{"rendered":"","protected":false},"excerpt":{"rendered":"<p>In this paper, Higher-Order Statistics has been proposed to characterize the voltage quality of a three-phase system by evaluating the moment vectors of order two, three and four of a multivariate probability distribution function. Numerical simulations showed the applicability of the three-phase HOS approach proposing a more correct and comprehensive formulation in three-phase system under distorted and asymmetry conditions with respect to the single-phase approach.<\/p>\n","protected":false},"author":93,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"tags":[1324,1335,1407,1643],"targets":[1317],"pubblicazioni_tipologie":[778],"class_list":["post-203915","pubblicazioni","type-pubblicazioni","status-publish","hentry","tag-electricity-network-en","tag-planning-en","tag-quality-of-supply","tag-reliability-en-2","targets-research","pubblicazioni_tipologie-paper-en"],"acf":{"dont_show_hompage":true,"projects":{"ID":188403,"post_author":"464","post_date":"2024-06-13 15:10:08","post_date_gmt":"2024-06-13 13:10:08","post_content":"","post_title":"Evolution, planning, scheduling and operation of power grids","post_excerpt":"The goal of the project is the pursuit of efficient management of the Italian electricity system that meets, in evolving scenarios, criteria of security and quality of operation, adequacy and resilience, ensuring a system-based approach. ","post_status":"publish","comment_status":"open","ping_status":"closed","post_password":"","post_name":"evolution-planning-scheduling-and-operation-of-power-grids","to_ping":"","pinged":"","post_modified":"2024-07-02 10:31:45","post_modified_gmt":"2024-07-02 08:31:45","post_content_filtered":"","post_parent":0,"guid":"https:\/\/www.rse-web.it\/progetti\/evolution-planning-scheduling-and-operation-of-power-grids\/","menu_order":0,"post_type":"progetti","post_mime_type":"","comment_count":"0","filter":"raw"},"order_posts":"","dont_show_search":false,"related_posts":false,"show_on_slider":false,"single_post_data":{"titolo_spot":"","post_content":"<p>In this paper, Higher-Order Statistics has been proposed to characterize the voltage quality of a three-phase system by evaluating the moment vectors of order two, three and four of a multivariate probability distribution function. This approach represents the natural extension of the well know single-phase HOS theory applied to the PQ framework which has been widely adopted for both power quality and reliability applications.<\/p>\n<p>&nbsp;<\/p>\n<p>The motivations to move towards a three-phase approach to higher-order statistics are twofold: i) the extension to three-phase allows to uniquely characterize the whole system ii) the adoption of a multivariate statistics avoids misleading considerations that can arise by considering as independent random variables the three-phase quantities. In particular, the reference moments vectors were calculated for a multivariate probability distribution function defined by a symmetric three-phase systems.<\/p>\n<p>&nbsp;<\/p>\n<p>Then, a method to measure the variance, the skewness and the kurtosis based on the L 2-norm considering only the independent moment vectors elements has been presented so that a global PQ index has been defined for the entire three-phase system. Numerical simulations showed the applicability of the three-phase HOS approach proposing a more correct and comprehensive formulation in three-phase system under distorted and asymmetry conditions with respect to the single-phase approach.<\/p>\n","scarica_file":false,"link_estreno":[{"link_text":"Download Publication","link":"https:\/\/ieeexplore.ieee.org\/document\/10706672"}],"button":{"text":"","link":""},"referente_group":false,"data_emissione":"2025-09-20","autori":"M. Zanoni, R. Chiumeo, L. Tenti, M. Volta (RSE S.p.A.)","destinazione":"AMPS 2024 14TH IEEE International Workshop on Applied Measurements for Power Systems, Caserta 18-20 Settembre 2024","rif_rse":"24005284"},"satellite_post_url":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Higher-Order Statistics Extension to Three-Phase Systems in the Power Quality Framework - RSE<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.rse-web.it\/en\/publications\/higher-order-statistics-extension-to-three-phase-systems-in-the-power-quality-framework\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Higher-Order Statistics Extension to Three-Phase Systems in the Power Quality Framework - RSE\" \/>\n<meta property=\"og:description\" content=\"In this paper, Higher-Order Statistics has been proposed to characterize the voltage quality of a three-phase system by evaluating the moment vectors of order two, three and four of a multivariate probability distribution function. 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