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Recent Advances in Electrical & Electronic Engineering

Editor-in-Chief

ISSN (Print): 2352-0965
ISSN (Online): 2352-0973

Research Article

Multi-Objective Optimization in the Presence of OGIPFC Using NSMMP Algorithm

Author(s): Balasubbareddy Mallala*, Venkata Prasad Papana and Kowstubha Palle

Volume 17, Issue 1, 2024

Published on: 21 June, 2023

Page: [60 - 81] Pages: 22

DOI: 10.2174/2352096516666230504105054

open access plus

Abstract

Background: Customers expect quality, uninterrupted power with cost-effective electricity in the latest trend. However, outages, severe storms, old infrastructure, and cost pressures can lead to ambiguity in power generation and transmission. To improve line power transmission capability, the right flexible AC transmission systems (FACTS) device may save millions of dollars.

Methods: In this study, a FACTS controller named Optimal Generalized Interline Power Flow Controller (OGIPFC) was developed. Furthermore, for optimization, the Modified Marine Predator Algorithm (MMPA), which is a modification of the recently developed Marine Predator Algorithm (MPA). The optimum technique was used to evaluate a set of prioritized considered objective minimizations. A variety of factors must be maximized, such as generation cost, emissions, and power loss.

Results: The performance of the proposed algorithm was analysed on benchmark test functions, and then single objective optimization problems of standard IEEE-30 bus system were solved and compared with the existing algorithms. The proposed algorithm was restricted to solving the single objective problem only, so it was further implemented with non-dominating sorting to solve the multiobjective optimization problem. The proposed multi-objective version is named as Non-dominating Sorting Modified Marine Predator Algorithm (NSMMPA), and it was validated on benchmark test functions and the IEEE-30 bus system.

Conclusion: Finally, the OPF problem was solved with the incorporation of OGIPFC using the proposed methods, which resulted in better solutions and made the system more effective in operation.

Graphical Abstract

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      Backtrace
      • 16. app/Models/Subject.php:220
      • 17. app/Http/Controllers/ArticleController.php:2518
      • 18. app/Http/Controllers/ArticleController.php:2035
      • 19. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 20. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
    • select v.nid as volume_id,e.nid,e.title,v.issn,v.eissn,v.isbn,v.eisbn,e.ebook_id, v.image_file_name,v.file_path,v.flyer_link,v.ebook_volume_id, v.volume_name,v.doi,v.year_id,v.introduction from `subject_ebook` as `se` inner join `ebook` as `e` on `e`.`ebook_id` = `se`.`ebook_id` inner join `ebook_volume` as `v` on `v`.`ebook_id` = `se`.`ebook_id` inner join `year` as `y` on `y`.`id` = `v`.`year_id` where subject_id IN (SELECT subject_id FROM subject_journal WHERE journal_id=152) and v.ebook_status='1' and y.year > 2020 group by `v`.`nid` order by `v`.`ebook_volume_id` desc limit 10 offset 0
      16.4msalphaeurekaselec_live_10_06_2022Subject.php#220
      Backtrace
      • 14. app/Models/Subject.php:220
      • 15. app/Http/Controllers/ArticleController.php:2518
      • 16. app/Http/Controllers/ArticleController.php:2035
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
    • select * from `keywords` where `article_id` = '131470'
      300μsalphaeurekaselec_live_10_06_2022Keywords.php#43
      Bindings
      • 0: 131470
      Backtrace
      • 13. app/Models/Keywords.php:43
      • 14. app/Http/Controllers/ArticleController.php:2519
      • 15. app/Http/Controllers/ArticleController.php:2035
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
    • select * from `article_citation` where `article_id` = '131470'
      2.09msalphaeurekaselec_live_10_06_2022Article.php#1570
      Bindings
      • 0: 131470
      Backtrace
      • 13. app/Models/Article.php:1570
      • 14. app/Http/Controllers/ArticleController.php:2520
      • 15. app/Http/Controllers/ArticleController.php:2035
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
    • select CONCAT_WS(' ',au.first_name, ' ', ifnull(au.initials,''), ' ', au.last_name) as authors, CONCAT(au.last_name, IFNULL(CONCAT(' ', au.initials), ''), ' ', au.first_name) AS authorsRIS, CONCAT_WS(' ',au.last_name, ' ', ifnull(au.initials,''), ' ', au.first_name) as authorsCiteAs, CONCAT_WS(' ',au.first_name, IFNULL(CONCAT(' ', au.initials), ''), IFNULL(CONCAT(' ', au.last_name), '')) as authorsmodal , `au`.*, `af`.`ror_id`, `af`.`institution`, `af`.`department`, `af`.`country`, `af`.`city`, `af`.`address`, (GROUP_CONCAT(TRIM(BOTH ', ' FROM CONCAT(ifnull(concat(af.institution,','),''), ifnull(concat(af.department,','),''), ifnull(concat(af.address,','),''), ifnull(concat(af.city,','),''), ifnull(concat(af.country,','),''), ifnull(concat(af.postal_code,','),''), ifnull(concat(af.phone,','),''), ifnull(concat(af.fax,','),''))) SEPARATOR '|')) as `author_affiliation`, (GROUP_CONCAT(TRIM(BOTH ', ' FROM CONCAT(ifnull(concat(af.web_view,','),''))) SEPARATOR '|')) as `web_view` from `author` as `au` left join `author_affiliation` as `af` on `au`.`author_id` = `af`.`author_id` where `au`.`article_id` = '131470' group by `au`.`author_id` order by `au`.`article_id` asc, `au`.`sequence` asc
      3.09msalphaeurekaselec_live_10_06_2022Author.php#86
      Bindings
      • 0: 131470
      Backtrace
      • 13. app/Models/Author.php:86
      • 14. app/Http/Controllers/ArticleController.php:2533
      • 15. app/Http/Controllers/ArticleController.php:2035
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
    • select `bo`.* from `bundle_offer` as `bo` where `bo`.`bundle_status` = 'A' order by `bo`.`bundle_id` desc
      320μsalphaeurekaselec_live_10_06_2022BundleOffer.php#57
      Bindings
      • 0: A
      Backtrace
      • 13. app/Models/BundleOffer.php:57
      • 14. app/Http/Controllers/ArticleController.php:2535
      • 15. app/Http/Controllers/ArticleController.php:2035
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
    • select `subtitle` from `journal` where `continues_publication_journal` = 1
      490μsalphaeurekaselec_live_10_06_2022Article.php#1960
      Bindings
      • 0: 1
      Backtrace
      • 13. app/Models/Article.php:1960
      • 14. app/Http/Controllers/ArticleController.php:2062
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • Select j.subtitle, v.volume_id as volume_id,v.year_id,y.year as year,v.volume_name, v.total_no_of_issues, i.issue_id as issue_id,i.title as issue, i.publication_date as issue_pub_date from journal j join volume v on j.journal_id = v.journal_id join issue i on v.volume_id = i.volume_id join article a on a.issue_id = i.issue_id join year y on v.year_id = y.id where j.journal_id = 152 and i.is_uploaded = 1 order by v.volume_name+0 desc, i.title+0 desc limit 1
      54.04msalphaeurekaselec_live_10_06_2022Issue.php#298
      Backtrace
      • 11. app/Models/Issue.php:298
      • 12. app/Http/Controllers/ArticleController.php:2068
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select a.nid,a.publish_on, a.pmid,a.article_id,a.doi,j.journal_id,j.subtitle,v.volume_name,a.volume_id as volume_id, a.issue_id,a.title,first_page, last_page, page_count,abstract,ifnull(is_abstract,"y"),asec.title as article_section,at.type_name as article_type_name, a.article_id as ArticleID ,is_epub,epub_price,epub_type,a.created, y.year from `article` as `a` left join `article_section` as `asec` on `asec`.`art_sec_id` = `a`.`is_epub` left join `article_type` as `at` on `at`.`art_type_id` = `a`.`art_type` left join `journal` as `j` on `j`.`journal_id` = `a`.`journal_id` inner join `volume` as `v` on `a`.`volume_id` = `v`.`volume_id` inner join `year` as `y` on `v`.`year_id` = `y`.`id` where a.article_status != "W" and a.is_epub = 1 and a.journal_id = 152 and a.is_uploaded = 1 group by `a`.`article_id` order by `a`.`publish_on` desc
      22msalphaeurekaselec_live_10_06_2022Article.php#528
      Backtrace
      • 13. app/Models/Article.php:528
      • 14. app/Http/Controllers/ArticleController.php:2070
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select a.nid,a.publish_on, a.pmid,a.article_id,a.doi,j.journal_id,j.subtitle,v.volume_name,a.volume_id as volume_id, a.issue_id,a.title,first_page, last_page, page_count,abstract,ifnull(is_abstract,"y"),asec.title as article_section,at.type_name as article_type_name, a.article_id as ArticleID ,is_epub,epub_price,epub_type,a.created, y.year from `article` as `a` left join `article_section` as `asec` on `asec`.`art_sec_id` = `a`.`is_epub` left join `article_type` as `at` on `at`.`art_type_id` = `a`.`art_type` left join `journal` as `j` on `j`.`journal_id` = `a`.`journal_id` inner join `volume` as `v` on `a`.`volume_id` = `v`.`volume_id` inner join `year` as `y` on `v`.`year_id` = `y`.`id` where a.article_status != "W" and a.is_epub = 4 and a.journal_id = 152 and a.is_uploaded = 1 group by `a`.`article_id` order by `a`.`publish_on` desc
      6.65msalphaeurekaselec_live_10_06_2022Article.php#528
      Backtrace
      • 13. app/Models/Article.php:528
      • 14. app/Http/Controllers/ArticleController.php:2071
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select pdf, html, epub, prc from `article_metrics` where `article_id` = 131470 limit 1
      310μsalphaeurekaselec_live_10_06_2022Article.php#744
      Bindings
      • 0: 131470
      Backtrace
      • 14. app/Models/Article.php:744
      • 15. app/Http/Controllers/ArticleController.php:2091
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select * from content_by_diseases where content_id = 131470 and content_type = 'article' order by status desc limit 1
      350μsalphaeurekaselec_live_10_06_2022Article.php#751
      Backtrace
      • 11. app/Models/Article.php:751
      • 12. app/Http/Controllers/ArticleController.php:2094
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select * from `node_meta` where `nid` = 216510 limit 1
      260μsalphaeurekaselec_live_10_06_2022Meta.php#30
      Bindings
      • 0: 216510
      Backtrace
      • 14. app/Models/Meta.php:30
      • 15. app/Http/Controllers/ArticleController.php:2101
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select `bo`.* from `bundle_offer` as `bo` where `bo`.`bundle_status` = 'A' order by `bo`.`bundle_id` desc
      280μsalphaeurekaselec_live_10_06_2022BundleOffer.php#57
      Bindings
      • 0: A
      Backtrace
      • 13. app/Models/BundleOffer.php:57
      • 14. app/Http/Controllers/ArticleController.php:2108
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select * from `tbl_ht_submission` as `h` where `h`.`subtitle` = 'eeng' and (h.proposal_closing_date = 0 OR TO_DAYS(FROM_UNIXTIME(h.proposal_closing_date)) >= TO_DAYS(NOW())) order by `h`.`manuscript` asc
      920μsalphaeurekaselec_live_10_06_2022Article.php#2025
      Bindings
      • 0: eeng
      Backtrace
      • 13. app/Models/Article.php:2025
      • 14. app/Http/Controllers/ArticleController.php:2112
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select count(*) as total_count, content_type_access_id as access_type from journal_access where content_type_id = '131470' and content_type = 'a' and ( (from_date <= CURDATE() and to_date >= CURDATE() and perpetual= 0) or (from_date is null and to_date is null and perpetual= 1) )
      560μsalphaeurekaselec_live_10_06_2022ContentAccess.php#647
      Backtrace
      • 11. app/Models/ContentAccess.php:647
      • 12. app/Http/Controllers/ArticleController.php:2186
      • 13. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 14. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select * from `article` where `first_page` < '60' and is_uploaded = 1 and issue_id = 12927 order by cast(first_page as SIGNED) desc limit 1
      760μsalphaeurekaselec_live_10_06_2022Article.php#1819
      Bindings
      • 0: 60
      Backtrace
      • 14. app/Models/Article.php:1819
      • 15. app/Http/Controllers/ArticleController.php:2470
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select * from `article` where `last_page` > '81' and is_uploaded = 1 and issue_id = 12927 order by cast(first_page as SIGNED) asc limit 1
      620μsalphaeurekaselec_live_10_06_2022Article.php#1831
      Bindings
      • 0: 81
      Backtrace
      • 14. app/Models/Article.php:1831
      • 15. app/Http/Controllers/ArticleController.php:2472
      • 16. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 17. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select `language_id` from `multilanguage` where `short_code` = 'en'
      210μsalphaeurekaselec_live_10_06_2022ArticleController.php#2497
      Bindings
      • 0: en
      Backtrace
      • 14. app/Http/Controllers/ArticleController.php:2497
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 18. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
    • select `source_lang_label`, `target_lang_label` from `multilanguage_labels` where `target_lang_id` = 1
      250μsalphaeurekaselec_live_10_06_2022MultiLanguage.php#23
      Bindings
      • 0: 1
      Backtrace
      • 13. app/Models/MultiLanguage.php:23
      • 14. app/Http/Controllers/ArticleController.php:2498
      • 15. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 16. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
    • select `id` from `multilanguage_article` where `article_id` = 131470 limit 1
      4.09msalphaeurekaselec_live_10_06_2022ArticleController.php#2506
      Bindings
      • 0: 131470
      Backtrace
      • 16. app/Http/Controllers/ArticleController.php:2506
      • 17. vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • 18. vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:43
      • 19. vendor/laravel/framework/src/Illuminate/Routing/Route.php:260
      • 20. vendor/laravel/framework/src/Illuminate/Routing/Route.php:206
    • select b.banner_link, b.banner_name, b.banner_script, b.banner_remarks, b.banner_file_name, b.banner_placement, bd.content_type, bd.content_id from `tbl_banner` as `b` inner join `tbl_banner_detail` as `bd` on `bd`.`banner_id` = `b`.`banner_id` inner join `users` as `u` on `u`.`id` = `b`.`updated_by` inner join `journal` as `j` on `j`.`journal_id` = `bd`.`content_id` where `b`.`banner_journal` = 1 and `bd`.`content_type` = 'J' and `bd`.`content_id` = 152 and `b`.`banner_from_date` <= 1740497604 and `b`.`banner_to_date` >= 1740497604 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.52msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: J
      • 2: 152
      • 3: 1740497604
      • 4: 1740497604
      • 5: A
      Backtrace
      • 13. app/Models/Banner.php:95
      • 14. app/Http/helpers.php:404
      • 17. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 18. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    • select b.banner_link, b.banner_name, b.banner_script, b.banner_remarks, b.banner_file_name, b.banner_placement, bd.content_type, bd.content_id from `tbl_banner` as `b` inner join `tbl_banner_detail` as `bd` on `bd`.`banner_id` = `b`.`banner_id` inner join `users` as `u` on `u`.`id` = `b`.`updated_by` inner join `journal` as `j` on `j`.`journal_id` = `bd`.`content_id` where `b`.`banner_journal` = 1 and `bd`.`content_type` = 'J' and `bd`.`content_id` = 152 and `b`.`banner_from_date` <= 1740497604 and `b`.`banner_to_date` >= 1740497604 and `b`.`banner_status` = 'A' order by `b`.`banner_id` desc
      1.74msalphaeurekaselec_live_10_06_2022Banner.php#95
      Bindings
      • 0: 1
      • 1: J
      • 2: 152
      • 3: 1740497604
      • 4: 1740497604
      • 5: A
      Backtrace
      • 13. app/Models/Banner.php:95
      • 14. app/Http/helpers.php:404
      • 17. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 18. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    • select count(*) as aggregate from `uc_cart_products` where cart_id='5aa3083b4a1bc186285e1e297f1c82d0'
      340μsalphaeurekaselec_live_10_06_2022Cart.php#271
      Backtrace
      • 15. app/Models/Cart.php:271
      • 16. view::layouts._header:260
      • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
      • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:73
    App\Models\MultiLanguage
    1MultiLanguage.php#?
        _token
        lejaVZLsMfllE3HjF1l27YV1sx6M0MJlclpVH6Je
        uc_cart_id
        5aa3083b4a1bc186285e1e297f1c82d0
        _previous
        array:1 [ "url" => "http://alpha.eurekaselect.com/article/131470" ]
        _flash
        array:2 [ "old" => [] "new" => [] ]
        PHPDEBUGBAR_STACK_DATA
        []
        path_info
        /article/131470
        status_code
        200
        
        status_text
        OK
        format
        html
        content_type
        text/html; charset=UTF-8
        request_query
        []
        
        request_request
        []
        
        request_headers
        0 of 0
        array:9 [ "cookie" => array:1 [ 0 => "wayfindertarget=eyJpdiI6IkpYcFE3MkpPR0l4My82SDQyMFlUeGc9PSIsInZhbHVlIjoiNTIvc0dYaGtEV08zRmlFcDVKSmJaL2hSMGpQRzBERVF1N2dISWNsTm1Jbz0iLCJtYWMiOiIyYzQzYjI3MzllNTljYjBlNjM2YTUwYjY2M2IwYmE4ZjkwM2I3ZWM0YTE0OWE2ZDVhNGUyYzlkY2VlNTUyNzI4IiwidGFnIjoiIn0%3Dwayfindertarget=eyJpdiI6IkpYcFE3MkpPR0l4My82SDQyMFlUeGc9PSIsInZhbHVlIjoiNTIvc0dYaGtEV08zRmlFcDVKSmJaL2hSMGpQRzBERVF1N2dISWNsTm1Jbz0iLCJtYWMiOiIyYzQzYjI3MzllNTlj" ] "accept-encoding" => array:1 [ 0 => "gzip, deflate" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "connection" => array:1 [ 0 => "keep-alive" ] "host" => array:1 [ 0 => "alpha.eurekaselect.com" ] ]
        request_cookies
        0 of 0
        array:1 [ "wayfindertarget" => null ]
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