{"id":4649,"date":"2026-03-15T09:00:00","date_gmt":"2026-03-15T01:00:00","guid":{"rendered":"https:\/\/www.aox-actuator.com\/?p=4649"},"modified":"2026-03-24T14:10:03","modified_gmt":"2026-03-24T06:10:03","slug":"electric-valve-actuator-torque-sizing-specs","status":"publish","type":"post","link":"https:\/\/www.aox-actuator.com\/pt\/blog\/selection\/electric-valve-actuator-torque-sizing-specs\/","title":{"rendered":"Lista de verifica\u00e7\u00e3o definitiva para dimensionar um atuador de v\u00e1lvula el\u00e9trica"},"content":{"rendered":"<p class=\"wp-block-paragraph\">O dimensionamento preciso do atuador de v\u00e1lvula \u00e9 fundamental para garantir o funcionamento adequado de v\u00e1lvulas automatizadas em condi\u00e7\u00f5es de processo na ind\u00fastria. Na sele\u00e7\u00e3o de um atuador el\u00e9trico para v\u00e1lvulas, diversos fatores devem ser considerados para se escolher o atuador mais adequado para a aplica\u00e7\u00e3o em quest\u00e3o.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Os atuadores s\u00e3o respons\u00e1veis por movimentar e manter uma posi\u00e7\u00e3o no elemento de fechamento de uma v\u00e1lvula. Se o atuador n\u00e3o atender aos requisitos do processo e do projeto, poder\u00e1 afetar negativamente a opera\u00e7\u00e3o da v\u00e1lvula. Avaliar os requisitos dos atuadores \u00e9 importante nas etapas iniciais da sele\u00e7\u00e3o de um atuador de v\u00e1lvula adequado para uma aplica\u00e7\u00e3o de processo.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>O Alto Custo do Dimensionamento Inadequado: Riscos \u00e0 Seguran\u00e7a e Desgaste dos Componentes<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Os atuadores s\u00e3o frequentemente negligenciados durante o projeto de sistemas de v\u00e1lvulas, embora controlem diretamente o movimento e a posi\u00e7\u00e3o final de esferas, discos ou obturadores. O dimensionamento correto do atuador garante que ele forne\u00e7a o torque necess\u00e1rio para movimentar e assentar a v\u00e1lvula em todas as condi\u00e7\u00f5es de opera\u00e7\u00e3o.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Se a sele\u00e7\u00e3o do atuador n\u00e3o corresponder aos requisitos do sistema, as v\u00e1lvulas podem n\u00e3o abrir ou fechar completamente. Isso pode criar riscos de seguran\u00e7a, como vazamentos devido \u00e0 veda\u00e7\u00e3o incompleta, eventos de sobrepress\u00e3o ou fluxo descontrolado. Atuadores subdimensionados podem travar sob carga, enquanto unidades superdimensionadas podem causar tens\u00e3o excessiva nos componentes da v\u00e1lvula.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Dimensionamento inadequado tamb\u00e9m acelera o desgaste das pe\u00e7as internas. As engrenagens podem sofrer cargas anormais, levando ao desgaste dos dentes ou ao desalinhamento. Condi\u00e7\u00f5es repetidas de sobrecarga podem aumentar o atrito, elevar a demanda de torque e reduzir a vida \u00fatil dos componentes.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A sele\u00e7\u00e3o deve considerar o sistema como um todo, e n\u00e3o apenas a v\u00e1lvula. Uma avalia\u00e7\u00e3o adequada garante uma opera\u00e7\u00e3o confi\u00e1vel, reduz os riscos de seguran\u00e7a e limita o desgaste prematuro, assegurando que o atuador forne\u00e7a torque controlado e adequado em toda a faixa de opera\u00e7\u00e3o da v\u00e1lvula.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Etapa 1: Adequa\u00e7\u00e3o da a\u00e7\u00e3o do atuador ao tipo de v\u00e1lvula (nuances de um quarto de volta versus m\u00faltiplas voltas)<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">O processo de sele\u00e7\u00e3o de atuadores come\u00e7a com uma avalia\u00e7\u00e3o das necessidades de aplica\u00e7\u00e3o do sistema. As v\u00e1lvulas industriais s\u00e3o empregadas para diversas fun\u00e7\u00f5es em um sistema, por exemplo, para controle de fluxo, isolamento de tubula\u00e7\u00f5es ou para prote\u00e7\u00e3o de equipamentos.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Para que as fun\u00e7\u00f5es das v\u00e1lvulas industriais sejam realizadas, os atuadores, incluindo <a href=\"https:\/\/www.aox-actuator.com\/pt\/blog\/quarter-vs-multi-turn-valve-actuator\/\" target=\"_blank\" rel=\"noreferrer noopener\">atuadores el\u00e9tricos de m\u00faltiplas voltas<\/a> Utilizados em v\u00e1lvulas de gaveta ou globo, os atuadores devem ser capazes de controlar o movimento dos elementos de fechamento das v\u00e1lvulas. Isso ocorre porque os elementos de fechamento, sejam esferas, plugues ou discos, precisam responder ao movimento dos atuadores para o controle adequado do fluxo no sistema.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">As condi\u00e7\u00f5es do processo, como press\u00e3o, temperatura e vaz\u00e3o, afetam o desempenho das v\u00e1lvulas industriais no sistema. Essas condi\u00e7\u00f5es tamb\u00e9m afetam as for\u00e7as que atuam nos elementos de fechamento das v\u00e1lvulas.&nbsp;<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<style>\n  .hero-recommendation-vertical {\n    max-width: 420px;\n    margin: 32px auto;\n    background: #fff;\n    border-radius: 16px;\n    box-shadow: 0 4px 18px 0 rgba(60, 66, 87, 0.10);\n    overflow: hidden;\n    transition: box-shadow 0.2s;\n  }\n  .hero-link-vertical {\n    display: flex;\n    flex-direction: column;\n    align-items: center;\n    text-decoration: none;\n    color: inherit;\n    width: 100%;\n    transition: background 0.2s;\n  }\n  .hero-link-vertical:hover {\n    background: #f8f9fa;\n  }\n  .hero-image-vertical img {\n    display: block;\n    width: 100%;\n    height: 210px;\n    object-fit: cover;\n    background: #f4f4f4;\n  }\n  .hero-content-vertical {\n    padding: 28px 22px 24px 22px;\n    text-align: center;\n    width: 100%;\n  }\n  .hero-content-vertical h2 {\n    margin: 0 0 12px 0;\n    font-size: 1.3rem;\n    font-weight: 700;\n    color: #263238;\n    letter-spacing: 0.01rem;\n  }\n  .hero-content-vertical p {\n    margin: 0 0 18px 0;\n    font-size: 1rem;\n    color: #546e7a;\n    line-height: 1.5;\n  }\n  .hero-btn-vertical {\n    padding: 10px 26px;\n    background: #ffc107; \/* Changed button background color *\/\n    border: none;\n    border-radius: 6px;\n    font-size: 1rem;\n    font-weight: 600;\n    color: #fff;\n    cursor: pointer;\n    transition: background 0.2s, color 0.2s;\n    box-shadow: 0 2px 8px rgba(255,193,7,0.10); \/* Adjusted shadow color *\/\n  }\n  .hero-btn-vertical:hover {\n    background: #e0a800; \/* Darkened color for hover effect (approx 10-15%) *\/\n  }\n  @media (max-width: 600px) {\n    .hero-recommendation-vertical {\n      max-width: 98vw;\n    }\n    .hero-image-vertical img {\n      height: 160px;\n    }\n    .hero-content-vertical {\n      padding: 18px 8px 16px 8px;\n    }\n  }\n<\/style>\n<div class=\"hero-recommendation-vertical\">\n  <a href=\"https:\/\/www.aox-actuator.com\/pt\/product\/aox-q-series-electric-actuator\/\" class=\"hero-link-vertical\" target=\"_blank\" rel=\"noopener\">\n    <div class=\"hero-image-vertical\">\n      <img decoding=\"async\" src=\"https:\/\/www.aox-actuator.com\/wp-content\/uploads\/2024\/09\/AOX-Q-series-electric-actuator-\u2013-7-1.jpg\" alt=\"Atuador el\u00e9trico s\u00e9rie AOX-Q\">\n    <\/div>\n    <div class=\"hero-content-vertical\"><strong>\n      <p>Atuador el\u00e9trico s\u00e9rie AOX-Q<\/p>\n      <p><\/strong>\n      O atuador el\u00e9trico da s\u00e9rie AOX-Q oferece controle confi\u00e1vel e preciso para uma variedade de aplica\u00e7\u00f5es de v\u00e1lvulas, garantindo opera\u00e7\u00e3o eficiente e durabilidade em ambientes industriais.\n      <\/p>\n      <button class=\"hero-btn-vertical\">Explorar produtos e solu\u00e7\u00f5es<\/button>\n    <\/div>\n  <\/a>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<style>\n  .hero-recommendation-vertical {\n    max-width: 420px;\n    margin: 32px auto;\n    background: #fff;\n    border-radius: 16px;\n    box-shadow: 0 4px 18px 0 rgba(60, 66, 87, 0.10);\n    overflow: hidden;\n    transition: box-shadow 0.2s;\n  }\n  .hero-link-vertical {\n    display: flex;\n    flex-direction: column;\n    align-items: center;\n    text-decoration: none;\n    color: inherit;\n    width: 100%;\n    transition: background 0.2s;\n  }\n  .hero-link-vertical:hover {\n    background: #f8f9fa;\n  }\n  .hero-image-vertical img {\n    display: block;\n    width: 100%;\n    height: 210px;\n    object-fit: cover;\n    background: #f4f4f4;\n  }\n  .hero-content-vertical {\n    padding: 28px 22px 24px 22px;\n    text-align: center;\n    width: 100%;\n  }\n  .hero-content-vertical h2 {\n    margin: 0 0 12px 0;\n    font-size: 1.3rem;\n    font-weight: 700;\n    color: #263238;\n    letter-spacing: 0.01rem;\n  }\n  .hero-content-vertical p {\n    margin: 0 0 18px 0;\n    font-size: 1rem;\n    color: #546e7a;\n    line-height: 1.5;\n  }\n  .hero-btn-vertical {\n    padding: 10px 26px;\n    background: #ffc107; \/* Changed button background color *\/\n    border: none;\n    border-radius: 6px;\n    font-size: 1rem;\n    font-weight: 600;\n    color: #fff;\n    cursor: pointer;\n    transition: background 0.2s, color 0.2s;\n    box-shadow: 0 2px 8px rgba(255,193,7,0.10); \/* Adjusted shadow color *\/\n  }\n  .hero-btn-vertical:hover {\n    background: #e0a800; \/* Darkened color for hover effect (approx 10-15%) *\/\n  }\n  @media (max-width: 600px) {\n    .hero-recommendation-vertical {\n      max-width: 98vw;\n    }\n    .hero-image-vertical img {\n      height: 160px;\n    }\n    .hero-content-vertical {\n      padding: 28px 22px 24px 22px;\n    }\n  }\n<\/style>\n<div class=\"hero-recommendation-vertical\">\n  <a href=\"https:\/\/www.aox-actuator.com\/pt\/product\/aox-m-series-multi-turn-electric-actuato\/\" class=\"hero-link-vertical\" target=\"_blank\" rel=\"noopener\">\n    <div class=\"hero-image-vertical\">\n      <img decoding=\"async\" src=\"https:\/\/www.aox-actuator.com\/wp-content\/uploads\/2025\/08\/AOX-M-Electric-Actuator-intelligent.webp\" alt=\"\">\n    <\/div>\n    <div class=\"hero-content-vertical\">\n      <p><strong>Atuador de v\u00e1lvula el\u00e9trica multivoltas s\u00e9rie AOX-M<\/strong><\/p>\n      <p>\n      A s\u00e9rie \u201cAOX-M\u201d foi projetada para operar v\u00e1lvulas com rota\u00e7\u00e3o de 360\u00b0 em m\u00faltiplas voltas, como v\u00e1lvulas de gaveta e v\u00e1lvulas globo.\n      <\/p>\n      <button class=\"hero-btn-vertical\">Explorar produtos e solu\u00e7\u00f5es<\/button>\n    <\/div>\n  <\/a>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Etapa 2: C\u00e1lculo dos Requisitos de Torque com um Fator de Seguran\u00e7a (Torque de Desacoplamento vs. Torque de Funcionamento)<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">As condi\u00e7\u00f5es do processo t\u00eam um impacto significativo no desempenho dos atuadores. Press\u00e3o, temperatura e vaz\u00e3o podem afetar a quantidade de for\u00e7a necess\u00e1ria para mover e manter o elemento de fechamento da v\u00e1lvula no lugar, o que deve ser considerado durante o c\u00e1lculo do torque do atuador el\u00e9trico.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Se as condi\u00e7\u00f5es do processo n\u00e3o forem levadas em considera\u00e7\u00e3o na sele\u00e7\u00e3o do atuador, ele poder\u00e1 n\u00e3o fornecer torque suficiente para movimentar a v\u00e1lvula.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Normalmente, utilizam-se duas condi\u00e7\u00f5es de torque na sele\u00e7\u00e3o de atuadores.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">O torque de desacoplamento \u00e9 definido como a quantidade de torque necess\u00e1ria para mover uma v\u00e1lvula a partir de uma posi\u00e7\u00e3o totalmente fechada ou assentada. Nessa posi\u00e7\u00e3o, normalmente \u00e9 mais dif\u00edcil mover uma v\u00e1lvula devido ao atrito entre as superf\u00edcies e as partes m\u00f3veis internas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">O torque de funcionamento \u00e9 definido como a quantidade de torque necess\u00e1ria para continuar movendo uma v\u00e1lvula depois que ela come\u00e7a a se mover a partir de uma posi\u00e7\u00e3o totalmente fechada ou assentada.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Esses dois valores de torque podem variar dependendo das condi\u00e7\u00f5es do processo. Em alguns casos, alta press\u00e3o e alta temperatura podem afetar a quantidade de torque necess\u00e1ria para movimentar uma v\u00e1lvula.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">As seguintes condi\u00e7\u00f5es podem afetar a quantidade de torque necess\u00e1ria para uma v\u00e1lvula:&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table class=\"has-fixed-layout\"><tbody><tr><td><strong>Fator de avalia\u00e7\u00e3o<\/strong><\/td><td><strong>Descri\u00e7\u00e3o<\/strong><\/td><td><strong>Import\u00e2ncia da sele\u00e7\u00e3o do atuador<\/strong><\/td><\/tr><tr><td>Press\u00e3o do processo<\/td><td>Press\u00e3o atuando sobre a v\u00e1lvula dentro do sistema<\/td><td>Pode aumentar a for\u00e7a necess\u00e1ria para mover a v\u00e1lvula.<\/td><\/tr><tr><td>Temperatura de opera\u00e7\u00e3o<\/td><td>Condi\u00e7\u00f5es de temperatura dentro do processo<\/td><td>Pode afetar os componentes do atuador e o atrito da v\u00e1lvula.<\/td><\/tr><tr><td>Taxa de fluxo<\/td><td>Movimento de fluido atrav\u00e9s da v\u00e1lvula<\/td><td>Pode influenciar as for\u00e7as de posicionamento da v\u00e1lvula<\/td><\/tr><tr><td>Fun\u00e7\u00e3o da v\u00e1lvula<\/td><td>Fun\u00e7\u00e3o da v\u00e1lvula (controle de fluxo, isolamento, prote\u00e7\u00e3o)<\/td><td>Determina as demandas operacionais do atuador.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Essas condi\u00e7\u00f5es precisam ser avaliadas para garantir que o atuador escolhido seja capaz de fornecer torque adequado para mover e posicionar a v\u00e1lvula dentro do ambiente operacional, mantendo um atuador apropriado. <a href=\"https:\/\/www.aox-actuator.com\/pt\/blog\/standards\/understanding-sil-2-vs-sil-3-functional-safety\/\" target=\"_blank\" rel=\"noreferrer noopener\">fator de seguran\u00e7a<\/a>.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Etapa 3: Determina\u00e7\u00e3o do ciclo de trabalho e dos requisitos de energia (evitando o superaquecimento do motor)<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">A sele\u00e7\u00e3o do atuador deve levar em considera\u00e7\u00e3o os sinais de controle, a fonte de alimenta\u00e7\u00e3o e o ciclo de trabalho da v\u00e1lvula. O atuador deve ser compat\u00edvel com protocolos de rel\u00e9, anal\u00f3gicos e digitais, como Modbus, HART e Profibus, com feedback de posi\u00e7\u00e3o para um controle preciso.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">O ciclo de trabalho de uma v\u00e1lvula define o uso em opera\u00e7\u00f5es por hora ou por dia. Por exemplo, 12 opera\u00e7\u00f5es de abertura\/fechamento por hora caracterizam uma aplica\u00e7\u00e3o de alta demanda. Uma demanda maior aumenta a frequ\u00eancia de partidas e paradas, o consumo de corrente e a gera\u00e7\u00e3o de calor.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">O ciclo de trabalho influencia diretamente a sele\u00e7\u00e3o do motor. Servi\u00e7os de alta exig\u00eancia requerem motores com maior capacidade t\u00e9rmica, classe de isolamento adequada e frequ\u00eancias de partida nominais para evitar superaquecimento. Servi\u00e7os de baixa exig\u00eancia podem utilizar configura\u00e7\u00f5es de motor padr\u00e3o.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A maioria dos atuadores el\u00e9tricos inclui prote\u00e7\u00e3o t\u00e9rmica que desarma a 120 \u00b0C \u00b1 5 \u00b0C e rearma ap\u00f3s o resfriamento. Os projetos comuns utilizam <a href=\"https:\/\/www.aox-actuator.com\/pt\/blog\/understanding-squirrel-cage-motor\/\" target=\"_blank\" rel=\"noreferrer noopener\">motores ass\u00edncronos de gaiola de esquilo<\/a> Com isolamento Classe H e op\u00e7\u00f5es de alimenta\u00e7\u00e3o como 110\/220V CA monof\u00e1sico e 380\/440V CA trif\u00e1sico.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">A correta adequa\u00e7\u00e3o do ciclo de trabalho da v\u00e1lvula ao motor evita o superaquecimento, prolonga a vida \u00fatil dos componentes e garante o funcionamento confi\u00e1vel do atuador el\u00e9trico de m\u00faltiplas voltas.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Etapa 4: Avalia\u00e7\u00e3o das condi\u00e7\u00f5es ambientais (aplica\u00e7\u00f5es industriais, mar\u00edtimas ou de alta temperatura)<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">Outro fator a ser considerado na sele\u00e7\u00e3o de atuadores \u00e9 a confiabilidade dos componentes. A confiabilidade \u00e9 um fator crucial, especialmente para v\u00e1lvulas que desempenham fun\u00e7\u00f5es cr\u00edticas em um sistema.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Quando a falha de um atuador pode afetar a estabilidade de um sistema, a confiabilidade do atuador torna-se um fator crucial na sele\u00e7\u00e3o do mesmo. A import\u00e2ncia da v\u00e1lvula no sistema tamb\u00e9m \u00e9 um fator a ser considerado na escolha do atuador.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Conclus\u00e3o: Evite erros de sele\u00e7\u00e3o dispendiosos com uma lista de verifica\u00e7\u00e3o profissional.<\/strong><\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">O dimensionamento correto de um atuador de v\u00e1lvula requer a considera\u00e7\u00e3o das necessidades da aplica\u00e7\u00e3o, da compatibilidade com o sistema, da confiabilidade e do custo. Ao levar isso em conta, garante-se que o atuador funcione de forma eficaz em um sistema de automa\u00e7\u00e3o.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\u00c9 necess\u00e1rio examinar as necessidades do processo, a compatibilidade do sistema e a confiabilidade antes de <a href=\"https:\/\/www.aox-actuator.com\/pt\/china-electric-valve-actuator-supplier-manufacturer\/\" target=\"_blank\" rel=\"noreferrer noopener\">Selecionando um atuador de v\u00e1lvula<\/a> para evitar erros de tamanho.<\/p>\n\n\n\n<div style=\"height:30px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-fe48e5de wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-50\"><a class=\"wp-block-button__link has-white-color has-text-color has-background has-link-color has-medium-font-size has-custom-font-size wp-element-button\" href=\"https:\/\/www.aox-actuator.com\/pt\/contact\/\" style=\"border-top-left-radius:0px;border-top-right-radius:0px;border-bottom-left-radius:0px;border-bottom-right-radius:0px;background-color:#fccc22\" target=\"_blank\" rel=\"noreferrer noopener\">Solicite um or\u00e7amento gratuito<\/a><\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Accurate valve actuator sizing is important to guarantee proper operation of automated valves under process conditions in the process industry. In selecting an electric valve actuator,<span class=\"excerpt-hellip\"> [\u2026]<\/span><\/p>\n","protected":false},"author":1,"featured_media":4651,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[75],"tags":[],"class_list":["post-4649","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-selection"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Electric Valve Actuator Sizing: Torque &amp; Duty Cycle Math | AOX<\/title>\n<meta name=\"description\" content=\"Learn valve actuator sizing with a practical checklist covering torque calculation, safety factors, and system compatibility for reliable automation.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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