{"id":50167,"date":"2025-11-03T14:57:33","date_gmt":"2025-11-03T13:57:33","guid":{"rendered":"https:\/\/www.gt-engineering.it\/?post_type=pubblicazione&#038;p=50167"},"modified":"2026-02-09T13:01:15","modified_gmt":"2026-02-09T12:01:15","slug":"p1-reliability-data-for-components-used-in-safety-systems","status":"publish","type":"pubblicazione","link":"https:\/\/www.gt-engineering.it\/en\/pubblications\/in-depth-articles-tuttomisure\/p1-reliability-data-for-components-used-in-safety-systems\/","title":{"rendered":"P1: Reliability data for components used in safety systems"},"content":{"rendered":"\n\n    \n        <section\n            data-name=\"Contenuto testuale con immagine\"\n            class=\"bow-gte-testo-media u-spacer-2xs\"\n            id=\"\"\n        >\n            \n<div class=\"o-text-media px-side-spacer sm:px-side-spacer-sm lg:px-side-spacer-tablet 2xl:px-side-spacer-desktop flex flex-wrap items-start md:block\">\n\n    \n        \n                    <div\n                class=\"h-auto mb-6 md:mb-4 lg:mb-8 xl:mb-9 float-left mr-6 md:mr-4 lg:mr-8 xl:mr-9  overflow-hidden shadow-content-image w-full md:w-1\/2\"\n            >\n                \r\n\r\n    \r\n        \r\n            \r\n                \r\n                    <picture\r\n                        class=\"\"\r\n                                            >\r\n                                                                                                        <source\r\n                                media=\"(max-width: 150px)\"\r\n                                width=\"150\"\r\n                                height=\"150\"\r\n                                srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Senza-titolo-106-150x150.png.webp\"\r\n                                type=\"image\/webp\"\r\n                            \/>\r\n                                                                                <source\r\n                                media=\"(max-width: 300px)\"\r\n                                width=\"300\"\r\n                                height=\"225\"\r\n                                srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Senza-titolo-106.png.webp\"\r\n                                type=\"image\/webp\"\r\n                            \/>\r\n                                                                                <source\r\n                                media=\"(max-width: 300px)\"\r\n                                width=\"300\"\r\n                                height=\"225\"\r\n                                srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Senza-titolo-106.png.webp\"\r\n                                type=\"image\/webp\"\r\n                            \/>\r\n                                                                                <source\r\n                                media=\"(max-width: 300px)\"\r\n                                width=\"300\"\r\n                                height=\"225\"\r\n                                srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Senza-titolo-106.png.webp\"\r\n                                type=\"image\/webp\"\r\n                            \/>\r\n                                                                            <img\r\n                            class=\"a-image transparent border-image h-auto  w-full\"\r\n                                                        srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Senza-titolo-106.png.webp\"\r\n                                                        title=\"Senza titolo\"\r\n                                                        type=\"image\/webp\"\r\n                        \/>\r\n                    <\/picture>\r\n\r\n                \r\n\r\n                    \r\n    \r\n            <\/div>\n        \n                    <div class=\"relative w-full\">\n                \n<div class=\"a-text font-text text-base normal mt-8 first:mt-0 space-y-4\">\n    <p><strong><span dir=\"auto\">THE QUESTION:\u00a0<\/span><\/strong><span dir=\"auto\">\u00a0What are the main\u00a0<\/span><strong><span dir=\"auto\">reliability data<\/span><\/strong><span dir=\"auto\">\u00a0for components used in Security Systems?<\/span><\/p>\n<p><span dir=\"auto\">When it comes to components used in safety systems, you&#8217;re familiar with the concept of\u00a0<\/span><strong><span dir=\"auto\">failure rate<\/span><\/strong><span dir=\"auto\">\u00a0. There are actually two other important metrics to know:\u00a0<\/span><strong><span dir=\"auto\">MTTF (Mean Time to Failure)<\/span><\/strong><span dir=\"auto\">\u00a0and\u00a0<\/span><strong><span dir=\"auto\">B10 . The\u00a0<\/span><sub><span dir=\"auto\">latter<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0is important when dealing with the\u00a0<\/span><strong><span dir=\"auto\">reliability of electromechanical components<\/span><\/strong><span dir=\"auto\">\u00a0. In this article, we&#8217;ll explain all three metrics and how they&#8217;re related.<\/span><\/p>\n<p><span dir=\"auto\">If you need the reliability values of a pressure transmitter for use in a safety system, you&#8217;ll likely look in the component safety manual and, in particular, look for the different types of failure rates. These are typically calculated by specialized laboratories such as\u00a0<\/span><em><a href=\"https:\/\/www.exida.com\/\"><strong><span dir=\"auto\">Exida<\/span><\/strong><\/a><\/em><span dir=\"auto\">\u00a0or one of the\u00a0<\/span><em><a href=\"https:\/\/www.tuvsud.com\/it-it\"><strong><span dir=\"auto\">T\u00dcV<\/span><\/strong><\/a><\/em><span dir=\"auto\">\u00a0companies .<\/span><\/p>\n<p><span dir=\"auto\">The situation is different when you need the reliability parameters of a pneumatic solenoid valve; in this case, you should contact the manufacturer directly and rely on the\u00a0<\/span><strong><span dir=\"auto\">B\u00a0<\/span><sub><span dir=\"auto\">10D<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0value provided.<\/span><\/p>\n<p><span dir=\"auto\">Questions that may arise are: &#8220;Why is there a different approach in the two cases? Why does\u00a0the data for\u00a0<\/span><strong><span dir=\"auto\">electronic components depend only on the component itself, while for an\u00a0<\/span><\/strong><strong><span dir=\"auto\">electromechanical<\/span><\/strong><span dir=\"auto\">\u00a0component it depends not only on the component but also on how the component is connected to the logic solver? Why is it possible to know all types of failure rates for an electronic component, while for the solenoid valve only a\u00a0<\/span><strong><span dir=\"auto\">B\u00a0<\/span><sub><span dir=\"auto\">10D<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0value ? How can we use these values?&#8221;<\/span><\/p>\n<p><span dir=\"auto\">It will take several articles to answer all these questions. In this one, we will focus on explaining the three parameters:\u00a0failure\u00a0<\/span><strong><span dir=\"auto\">rate<\/span><\/strong><span dir=\"auto\">\u00a0,\u00a0<\/span><strong><span dir=\"auto\">mean time to failure<\/span><\/strong><span dir=\"auto\">\u00a0, and\u00a0<\/span><strong><span dir=\"auto\">B10\u00a0<\/span><sub><span dir=\"auto\">.<\/span><\/sub><\/strong><\/p>\n<\/div>            <\/div>\n        \n        \n                <div class=\"clear-both\"><\/div>\n        \n\n    <\/div>\n        <\/section>\n\n    \n\n\n\n\n    \n        <section\n            data-name=\"Contenuto testuale con immagine\"\n            class=\"bow-gte-testo-media u-spacer-base\"\n            id=\"\"\n        >\n            \n<div class=\"o-text-media px-side-spacer sm:px-side-spacer-sm lg:px-side-spacer-tablet 2xl:px-side-spacer-desktop flex flex-wrap items-start md:block\">\n\n    \n                    <div class=\"mb-6 relative w-full md:mb-4 lg:mb-8 xl:mb-9\">\n                \n        <div                class=\"m-headings\"\n            >\n    \n    \n<h2 class=\"a-heading text-primary font-heading text-2xl lg:text-3xl xl:text-4xl font-normal mt-2 first:mt-0\">\n                    The failure rate    <\/h2>\n        <\/div>\n                <\/div>\n        \n        \n                    <div class=\"relative w-full\">\n                \n<div class=\"a-text font-text text-base normal mt-8 first:mt-0 space-y-4\">\n    <p><span dir=\"auto\">When dealing with the reliability of a component used in a safety system the main parameter is the Failure Rate \u03bb: its unit of measurement is the inverse of time. It is common practice to use the unit of measurement &#8220;failures per billion (10\u00a0<\/span><sup><span dir=\"auto\">9<\/span><\/sup><span dir=\"auto\">\u00a0) hours&#8221;, this unit is known as\u00a0<\/span><strong><span dir=\"auto\">FIT\u00a0<\/span><\/strong><strong><span dir=\"auto\">(Failures In Time)<\/span><\/strong><span dir=\"auto\">\u00a0. For example, a particular integrated circuit that suffers seven failures per billion hours of operation at 25\u00b0C, has a failure rate of 7 FIT.<\/span><\/p>\n<p><span dir=\"auto\">According to IEC\u00a0<\/span><em><a href=\"https:\/\/www.gt-engineering.it\/normative-tecniche\/iec-normative-tecniche\/iec-61508\/\"><strong><span dir=\"auto\">61508<\/span><\/strong><\/a><span dir=\"auto\">\u00a0,<\/span><\/em><span dir=\"auto\">\u00a0there are four types of faults:<\/span><\/p>\n<ul>\n<li><strong><span dir=\"auto\">safe failures;<\/span><\/strong><\/li>\n<li><strong><span dir=\"auto\">dangerous failures;<\/span><\/strong><\/li>\n<li><strong><span dir=\"auto\">failures without effect;<\/span><\/strong><\/li>\n<li><strong><span dir=\"auto\">\u201cno part\u201d breakdowns<\/span><\/strong><\/li>\n<\/ul>\n<p><span dir=\"auto\">It&#8217;s fairly intuitive to understand what a safe\u00a0and\u00a0<strong>dangerous\u00a0<\/strong><\/span><strong><span dir=\"auto\">failure<\/span><\/strong><span dir=\"auto\">\u00a0is . Conversely, a &#8221;\u00a0<strong>no-part<\/strong>\u00a0&#8221; failure is the failure of a component that plays no role in completing the safety function. A\u00a0<strong>&#8220;no-effect&#8221;<\/strong>\u00a0failure is the failure of an element that plays a role in completing the safety function, but that failure has no direct effect on the safety function.<\/span><\/p>\n<p><span dir=\"auto\">In the 2010 version of\u00a0<\/span><a href=\"https:\/\/www.gt-engineering.it\/normative-tecniche\/iec-normative-tecniche\/iec-61508\/\"><strong><em><span dir=\"auto\">IEC 61508,<\/span><\/em><\/strong><\/a><strong><span dir=\"auto\">\u00a0both no-effect<\/span><\/strong><span dir=\"auto\">\u00a0and\u00a0<\/span><strong><span dir=\"auto\">no-part<\/span><\/strong><span dir=\"auto\">\u00a0faults were added\u00a0to avoid influencing the SFF calculation\u00a0<\/span><strong><span dir=\"auto\">by<\/span><\/strong><span dir=\"auto\">\u00a0considering circuits that are not relevant to the reliability of the safety function: both types of faults should not be used to calculate the SFF. We will discuss the SFF in another article. No-effect faults were not mentioned in the previous edition of\u00a0<\/span><a href=\"https:\/\/www.gt-engineering.it\/normative-tecniche\/iec-normative-tecniche\/iec-62061-sicurezza-funzionale-dei-macchinari\/\"><em><strong><span dir=\"auto\">IEC 62061<\/span><\/strong><\/em><\/a><span dir=\"auto\">\u00a0, but they are now important for understanding some new aspects related to the failure of electromechanical components.<\/span><\/p>\n<p><span dir=\"auto\">In addition to being\u00a0<\/span><strong><span dir=\"auto\">safe<\/span><\/strong><span dir=\"auto\">\u00a0or\u00a0<\/span><strong><span dir=\"auto\">dangerous<\/span><\/strong><span dir=\"auto\">\u00a0, each fault can also be classified as\u00a0<\/span><strong><span dir=\"auto\">detected<\/span><\/strong><span dir=\"auto\">\u00a0or\u00a0<\/span><strong><span dir=\"auto\">undetected<\/span><\/strong><span dir=\"auto\">\u00a0:<\/span><\/p>\n<p><span dir=\"auto\">Therefore, the\u00a0<\/span><strong><span dir=\"auto\">Failure Rate<\/span><\/strong><span dir=\"auto\">\u00a0is the sum of five elements:<\/span><\/p>\n<p><img decoding=\"async\" src=\"data:image\/png;base64,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\" \/><\/p>\n<ul>\n<li><strong><span dir=\"auto\">\u03bb\u00a0<\/span><sub><span dir=\"auto\">SD<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0: rate of detectable safe failures<\/span><\/li>\n<li><strong><span dir=\"auto\">\u03bb\u00a0<\/span><sub><span dir=\"auto\">SU<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0: rate of safe undetectable failures<\/span><\/li>\n<li><strong><span dir=\"auto\">\u03bb\u00a0<\/span><sub><span dir=\"auto\">DD<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0: rate of detectable dangerous failures<\/span><\/li>\n<li><strong><span dir=\"auto\">\u03bb\u00a0<\/span><sub><span dir=\"auto\">DU<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0: rate of dangerous undetectable failures<\/span><\/li>\n<li><strong><span dir=\"auto\">\u03bb\u00a0<\/span><sub><span dir=\"auto\">NE<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0: no-effect failure rate<\/span><\/li>\n<li><strong><span dir=\"auto\">\u03bb\u00a0<\/span><sub><span dir=\"auto\">T<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0: total failure rate<\/span><\/li>\n<\/ul>\n<\/div>            <\/div>\n        \n        \n                <div class=\"clear-both\"><\/div>\n        \n\n    <\/div>\n        <\/section>\n\n    \n\n\n\n\n    \n        <section\n            data-name=\"Contenuto testuale con immagine\"\n            class=\"bow-gte-testo-media u-spacer-base\"\n            id=\"\"\n        >\n            \n<div class=\"o-text-media px-side-spacer sm:px-side-spacer-sm lg:px-side-spacer-tablet 2xl:px-side-spacer-desktop flex flex-wrap items-start md:block\">\n\n    \n                    <div class=\"mb-6 relative w-full md:mb-4 lg:mb-8 xl:mb-9\">\n                \n        <div                class=\"m-headings\"\n            >\n    \n    \n<h2 class=\"a-heading text-primary font-heading text-2xl lg:text-3xl xl:text-4xl font-normal mt-2 first:mt-0\">\n                    The Bathtub Curve    <\/h2>\n        <\/div>\n                <\/div>\n        \n                    <div\n                class=\"h-auto mb-6 md:mb-4 lg:mb-8 xl:mb-9 float-left mr-6 md:mr-4 lg:mr-8 xl:mr-9  overflow-hidden shadow-content-image w-full md:w-1\/2\"\n            >\n                \r\n\r\n    \r\n        \r\n            \r\n                \r\n                    <picture\r\n                        class=\"\"\r\n                                            >\r\n                                                                                                        <source\r\n                                media=\"(max-width: 150px)\"\r\n                                width=\"150\"\r\n                                height=\"150\"\r\n                                srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Senza-titolo-108-150x150.png.webp\"\r\n                                type=\"image\/webp\"\r\n                            \/>\r\n                                                                                <source\r\n                                media=\"(max-width: 300px)\"\r\n                                width=\"300\"\r\n                                height=\"193\"\r\n                                srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Senza-titolo-108-300x193.png.webp\"\r\n                                type=\"image\/webp\"\r\n                            \/>\r\n                                                                                <source\r\n                                media=\"(max-width: 768px)\"\r\n                                width=\"768\"\r\n                                height=\"494\"\r\n                                srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Senza-titolo-108-768x494.png.webp\"\r\n                                type=\"image\/webp\"\r\n                            \/>\r\n                                                                                <source\r\n                                media=\"(max-width: 772px)\"\r\n                                width=\"772\"\r\n                                height=\"497\"\r\n                                srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Senza-titolo-108.png.webp\"\r\n                                type=\"image\/webp\"\r\n                            \/>\r\n                                                                            <img\r\n                            class=\"a-image transparent border-image h-auto  w-full\"\r\n                                                        srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Senza-titolo-108.png.webp\"\r\n                                                        title=\"Senza titolo\"\r\n                                                        type=\"image\/webp\"\r\n                        \/>\r\n                    <\/picture>\r\n\r\n                \r\n\r\n                    \r\n    \r\n            <\/div>\n        \n                    <div class=\"relative w-full\">\n                \n<div class=\"a-text font-text text-base normal mt-8 first:mt-0 space-y-4\">\n    <p><span dir=\"auto\">In<\/span><span dir=\"auto\">\u00a0general, any component has a\u00a0<\/span><strong><span dir=\"auto\">failure rate<\/span><\/strong><span dir=\"auto\">\u00a0that can be represented with a graph as a function of the time of use; the one shown in the figure, usually defined as a &#8221;\u00a0<\/span><strong><span dir=\"auto\">bathtub&#8221; graph,<\/span><\/strong><span dir=\"auto\">\u00a0\u00a0is typical of\u00a0<\/span><strong><span dir=\"auto\">electronic components:<\/span><\/strong><\/p>\n<p><span dir=\"auto\">In the early phase of the component&#8217;s life, \u03bb(t) decreases rapidly with time; this is also called early mortality rate.<\/span><\/p>\n<p><span dir=\"auto\">During the period called useful life, \u03bb(t) is constant.<\/span><\/p>\n<p><span dir=\"auto\">The last period is characterized by wear, with a rapidly increasing failure rate \u03bb(t).<\/span><\/p>\n<p><span dir=\"auto\">During the useful life of a component, assuming a constant failure rate, considering as an initial condition that the Reliability at time 0 is maximum and equal to 1, we have that the Reliability in time R(t) is:<\/span><\/p>\n<p><img decoding=\"async\" src=\"data:image\/png;base64,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\" \/><\/p>\n<p><span dir=\"auto\">For electromechanical components, such as electrical power contactors, the curve is shown below.<\/span><\/p>\n<p><span dir=\"auto\">Even after the initial failure rate period, the failure rate is never constant, but increases slowly over time.<\/span><\/p>\n<p><span dir=\"auto\">This is a problem for functional safety standards, such as the\u00a0<\/span><strong><span dir=\"auto\">IEC 61508<\/span><\/strong><span dir=\"auto\">\u00a0series . This is why, for such components, an approximation is made for a maximum time of\u00a0<\/span><strong><span dir=\"auto\">T\u00a0<\/span><sub><span dir=\"auto\">10D<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0. In general, for electromechanical components, a so-called \u201csurrogate failure rate\u201d is calculated so that there is a constant value, but only for the time period\u00a0<\/span><strong><span dir=\"auto\">T\u00a0<\/span><sub><span dir=\"auto\">10D<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0.<\/span><\/p>\n<p><span dir=\"auto\">This is an important step for the functional safety standards used in machinery:\u00a0<\/span><a href=\"https:\/\/www.gt-engineering.it\/normative-tecniche\/normative-en-iso\/uni-en-iso-13849-1-sicurezza-funzionale\/\"><strong><em><span dir=\"auto\">ISO 13849-1<\/span><\/em><\/strong><\/a><span dir=\"auto\">\u00a0and\u00a0<\/span><a href=\"https:\/\/www.gt-engineering.it\/normative-tecniche\/iec-normative-tecniche\/iec-62061-sicurezza-funzionale-dei-macchinari\/\"><strong><em><span dir=\"auto\">IEC 62061.<\/span><\/em><\/strong><\/a><span dir=\"auto\">\u00a0In particular, this allows the use of Markov chain models or reliability block diagrams to calculate the reliability of a safety function. This is not as important for IEC\u00a0<\/span><a href=\"https:\/\/www.gt-engineering.it\/normative-tecniche\/iec-normative-tecniche\/iec-61511-gt-engineering\/\"><em><strong><span dir=\"auto\">61511-1<\/span><\/strong><\/em><\/a><span dir=\"auto\">\u00a0, as it focuses primarily on electronic and low-demand components.<\/span><\/p>\n<\/div>            <\/div>\n        \n        \n                <div class=\"clear-both\"><\/div>\n        \n\n    <\/div>\n        <\/section>\n\n    \n\n\n\n\n    \n        <section\n            data-name=\"Contenuto testuale con immagine\"\n            class=\"bow-gte-testo-media u-spacer-base\"\n            id=\"\"\n        >\n            \n<div class=\"o-text-media px-side-spacer sm:px-side-spacer-sm lg:px-side-spacer-tablet 2xl:px-side-spacer-desktop flex flex-wrap items-start md:block\">\n\n    \n        \n                    <div\n                class=\"h-auto mb-6 md:mb-4 lg:mb-8 xl:mb-9 float-left mr-6 md:mr-4 lg:mr-8 xl:mr-9  overflow-hidden shadow-content-image w-full md:w-1\/2\"\n            >\n                \r\n\r\n    \r\n        \r\n            \r\n                \r\n                    <picture\r\n                        class=\"\"\r\n                                            >\r\n                                                                                                        <source\r\n                                media=\"(max-width: 150px)\"\r\n                                width=\"150\"\r\n                                height=\"150\"\r\n                                srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Usefull-Lifetime-300x158-1-150x150.jpg.webp\"\r\n                                type=\"image\/webp\"\r\n                            \/>\r\n                                                                                <source\r\n                                media=\"(max-width: 300px)\"\r\n                                width=\"300\"\r\n                                height=\"158\"\r\n                                srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Usefull-Lifetime-300x158-1.jpg.webp\"\r\n                                type=\"image\/webp\"\r\n                            \/>\r\n                                                                                <source\r\n                                media=\"(max-width: 300px)\"\r\n                                width=\"300\"\r\n                                height=\"158\"\r\n                                srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Usefull-Lifetime-300x158-1.jpg.webp\"\r\n                                type=\"image\/webp\"\r\n                            \/>\r\n                                                                                <source\r\n                                media=\"(max-width: 300px)\"\r\n                                width=\"300\"\r\n                                height=\"158\"\r\n                                srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Usefull-Lifetime-300x158-1.jpg.webp\"\r\n                                type=\"image\/webp\"\r\n                            \/>\r\n                                                                            <img\r\n                            class=\"a-image transparent border-image h-auto  w-full\"\r\n                                                        srcset=\"https:\/\/www.gt-engineering.it\/wp-content\/uploads\/2025\/08\/Usefull-Lifetime-300x158-1.jpg.webp\"\r\n                                                        title=\"Usefull-Lifetime-300&#215;158\"\r\n                                                        type=\"image\/webp\"\r\n                        \/>\r\n                    <\/picture>\r\n\r\n                \r\n\r\n                    \r\n    \r\n            <\/div>\n        \n        \n        \n                <div class=\"clear-both\"><\/div>\n        \n\n    <\/div>\n        <\/section>\n\n    \n\n\n\n\n    \n        <section\n            data-name=\"Contenuto testuale con immagine\"\n            class=\"bow-gte-testo-media u-spacer-base\"\n            id=\"\"\n        >\n            \n<div class=\"o-text-media px-side-spacer sm:px-side-spacer-sm lg:px-side-spacer-tablet 2xl:px-side-spacer-desktop flex flex-wrap items-start md:block\">\n\n    \n                    <div class=\"mb-6 relative w-full md:mb-4 lg:mb-8 xl:mb-9\">\n                \n        <div                class=\"m-headings\"\n            >\n    \n    \n<h2 class=\"a-heading text-primary font-heading text-2xl lg:text-3xl xl:text-4xl font-normal mt-2 first:mt-0\">\n                    Example of failure rates for electronic and electromechanical components    <\/h2>\n        <\/div>\n                <\/div>\n        \n        \n                    <div class=\"relative w-full\">\n                \n<div class=\"a-text font-text text-base normal mt-8 first:mt-0 space-y-4\">\n    <p style=\"font-weight: 400;\">For electronic components, the failure rate depends on the component itself: how it is designed and engineered, and its ability to\u00a0<b><strong>detect internal failures<\/strong><\/b>\u00a0. This is assessed by specialized laboratories that analyze both the field performance for the specific component and how the component is manufactured.<\/p>\n<table style=\"font-weight: 400;\" width=\"387\">\n<tbody>\n<tr>\n<td colspan=\"2\" width=\"312\">Pressure Transmitter \u2013 failure rate data<\/p>\n<p>(Source: Exida SERH 2015 \u2013 01 sensors \u2013 item 1.6.2)<\/td>\n<td width=\"76\">For 10\u00a0<sup>9<\/sup>\u00a0hours (FITs)<\/td>\n<\/tr>\n<tr>\n<td width=\"274\">Fail dangerous detected<\/td>\n<td width=\"38\">\u03bb\u00a0<sub>DD<\/sub><\/td>\n<td width=\"76\">260<\/td>\n<\/tr>\n<tr>\n<td width=\"274\">Fail dangerous undetected<\/td>\n<td width=\"38\">\u03bb\u00a0<sub>DU<\/sub><\/td>\n<td width=\"76\">84<\/td>\n<\/tr>\n<tr>\n<td width=\"274\">Fail safe detected<\/td>\n<td width=\"38\">\u03bb\u00a0<sub>SD<\/sub><\/td>\n<td width=\"76\">0<\/td>\n<\/tr>\n<tr>\n<td width=\"274\">Fail safe undetected<\/td>\n<td width=\"38\">\u03bb\u00a0<sub>SU<\/sub><\/td>\n<td width=\"76\">145<\/td>\n<\/tr>\n<tr>\n<td width=\"274\">No effect failure<\/td>\n<td width=\"38\">\u03bb\u00a0<sub>NE<\/sub><\/td>\n<td width=\"76\">135<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p style=\"font-weight: 400;\">For electromechanical components, the situation is somewhat different. They typically have no internal failure detection capability. This means that the\u00a0<b><strong>failure rate depends on how the component is connected to the logic system<\/strong><\/b>\u00a0(e.g., the safety PLC). Furthermore, since they are\u00a0<b><strong>subject to wear<\/strong><\/b>\u00a0from the moment they are first used, their reliability is not given by a failure rate value but by a\u00a0<b><strong>B10<\/strong><\/b>\u00a0value\u00a0<b><strong><sub>.<\/sub><\/strong><\/b><\/p>\n<\/div>            <\/div>\n        \n        \n                <div class=\"clear-both\"><\/div>\n        \n\n    <\/div>\n        <\/section>\n\n    \n\n\n\n\n    \n        \n    \n\n\n\n\n    \n        <section\n            data-name=\"Contenuto testuale con immagine\"\n            class=\"bow-gte-testo-media u-spacer-base\"\n            id=\"\"\n        >\n            \n<div class=\"o-text-media px-side-spacer sm:px-side-spacer-sm lg:px-side-spacer-tablet 2xl:px-side-spacer-desktop flex flex-wrap items-start md:block\">\n\n    \n                    <div class=\"mb-6 relative w-full md:mb-4 lg:mb-8 xl:mb-9\">\n                \n        <div                class=\"m-headings\"\n            >\n    \n    \n<h2 class=\"a-heading text-primary font-heading text-2xl lg:text-3xl xl:text-4xl font-normal mt-2 first:mt-0\">\n                    How \u03bbD and MTTFD are derived from B10D    <\/h2>\n        <\/div>\n                <\/div>\n        \n        \n                    <div class=\"relative w-full\">\n                \n<div class=\"a-text font-text text-base normal mt-8 first:mt-0 space-y-4\">\n    <p><span dir=\"auto\">In functional safety, and in particular in the high-demand mode of safety-related control systems,\u00a0<\/span><strong><span dir=\"auto\">B\u00a0<\/span><sub><span dir=\"auto\">10D<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0is used to indicate the reliability of components that do not have a constant failure rate.<\/span><\/p>\n<p><span dir=\"auto\">Since such components will have a constant \u201csurrogate\u201d failure rate associated with them, in order to limit the error in calculating the\u00a0<\/span><strong><span dir=\"auto\">PFH\u00a0<\/span><sub><span dir=\"auto\">D<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0of the Safety Function, the use of the component will be limited to reaching the number of operations\u00a0<\/span><strong><span dir=\"auto\">B\u00a0<\/span><sub><span dir=\"auto\">10D<\/span><\/sub><\/strong><strong><span dir=\"auto\">\u00a0. This means that the component must be replaced when B\u00a0<\/span><sub><span dir=\"auto\">10D<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0is reached\u00a0, or earlier, if its Mission Time is shorter.<\/span><\/p>\n<p><span dir=\"auto\">Since the duration of a cycle corresponds to the reciprocal of the operating frequency\u00a0<\/span><strong><span dir=\"auto\">n\u00a0<\/span><sub><span dir=\"auto\">op<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0, the time\u00a0<\/span><strong><span dir=\"auto\">T\u00a0<\/span><sub><span dir=\"auto\">10D<\/span><\/sub>\u00a0<\/strong><span dir=\"auto\">at which the element has completed the\u00a0<\/span><strong><span dir=\"auto\">B\u00a0<\/span><sub><span dir=\"auto\">10D<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0cycles is:<\/span><\/p>\n<p><img decoding=\"async\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEwAAAAnCAIAAAAqxjnlAAAAAXNSR0IArs4c6QAAAAlwSFlzAAAOxAAADsQBlSsOGwAAAxRJREFUaEPdWT124jAQFnsWoOD5BOYEJk0qWjq7DE1ukC4NLnG3bao0a58ATsBLsfZdvDOjX5uw2BLKE6gCo5H1ze83w6RtW\/bo69ejA0R8IYKsskl3LbPKzRbgruGtMmUsLfm96jKN9Teru4ZoSdb8PbH0OeHWmybPkZsdGbNSjWchMKS24w7sGO9ql1eGCBKdVa04dQOIygnQXclZVUBGxXaTN27+Gh7I5s\/HMV7MVECm7PhV07emypYTI9E2+ZKysE6+Zl6Gp1I34YGsv47x+mkqbIdmFQCzmi0Mizb55mONoVpGxUpAT153MY\/fulyfVsoFXALah2wNiaZbPXTW6fym90EMiz3mhlY\/DsySTf6+PbJixcnA7O0UlfXhRZq1F5nSqWeLWHg0eIEqPbg5mpNoYCCnL3vTPQ6HfXIBIdxdxip85Hirz0JhbPK3QmoBQJ6xKK5GVyrllhCvSk\/nESs+ke5hpiKTAUYBC1LUZst2v6UPtNyPKYIVmdLu7CPsrM40i6eIQOJ7aEaK4c4GeGTQBwY\/KhlFEevdDUqwFRYvQprxoEUd6ZOXG97gUJV4qAbr+nQ1JoZvkDW71z9RGXflMgNvIRVldjc3UJ7dEQPvPHqbuM0ZRmrjZFVGCoHdgIpylOpEeifQ7RD6kxLuiuxJEUYkiQ4cqq\/nUNyVzGSYjTpyk1+N4FD+DGJ9MlqyymbApYBM\/a\/+D+ZQowPGvwCCTCSV2ouJw3evHcyh\/N959BuGcddRHGr0HfwLfOvoLhzKOnL8CYY44yG0vGQhBeMzScFQrTQRKMgyhcJL+R0Wcm0nrhIoSDIYApNs2qkvChikWaidMIY4khTJ1pzaISETowybVDyshNic7CpjTO0EXmCbsmtpcphO8j4GhgM0q8SP\/On5\/0NW6eoHhDqZhvKrmqUbnS+5cVnyJMXHAfCp3xYHHJOXNGmiUP+aqPmGMYlUB9whSJWEoIDKtkKC7TeIHOcdggSH1BMsPq6Sza7h06YfTBDovS\/oWN\/nMKK9iOMHcojvV3A79trhh7PkNU\/8B5euK74ujt54AAAAAElFTkSuQmCC\" \/><\/p>\n<p><span dir=\"auto\">Given a component with unreliability function\u00a0<\/span><strong><span dir=\"auto\">F(t)<\/span><\/strong><span dir=\"auto\">\u00a0,<\/span><\/p>\n<p><img decoding=\"async\" src=\"data:image\/png;base64,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\" \/><\/p>\n<p><strong><span dir=\"auto\">the probability of dangerous failures on the component when T\u00a0<\/span><sub><span dir=\"auto\">10D<\/span><\/sub>\u00a0<\/strong><span dir=\"auto\">is reached\u00a0is<\/span><\/p>\n<p><img decoding=\"async\" src=\"data:image\/png;base64,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\" \/><\/p>\n<p><span dir=\"auto\">but we know that the probability\u00a0<\/span><strong><span dir=\"auto\">F(t=T\u00a0<\/span><sub><span dir=\"auto\">10D<\/span><\/sub><span dir=\"auto\">\u00a0)<\/span><\/strong><span dir=\"auto\">\u00a0=\u00a0<\/span><strong><span dir=\"auto\">10%<\/span><\/strong><span dir=\"auto\">\u00a0, so:<\/span><\/p>\n<p align=\"center\"><img decoding=\"async\" src=\"data:image\/png;base64,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\" \/><\/p>\n<p><img decoding=\"async\" src=\"data:image\/png;base64,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\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><span dir=\"auto\">In case of constant failure rate the following applies:<\/span><\/p>\n<p><img decoding=\"async\" src=\"data:image\/png;base64,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\" \/><\/p>\n<p>&nbsp;<\/p>\n<p><span dir=\"auto\">So the following is the formula to use to calculate the\u00a0<\/span><strong><span dir=\"auto\">MTTF\u00a0<\/span><sub><span dir=\"auto\">D<\/span><\/sub><\/strong><span dir=\"auto\">\u00a0from the\u00a0<\/span><strong><span dir=\"auto\">B\u00a0<\/span><sub><span dir=\"auto\">10D<\/span><\/sub><\/strong><\/p>\n<p><img decoding=\"async\" src=\"data:image\/png;base64,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\" \/><\/p>\n<\/div>            <\/div>\n        \n        \n                <div class=\"clear-both\"><\/div>\n        \n\n    <\/div>\n        <\/section>\n\n    \n\n\n\n\n    \n        <section\n            data-name=\"Contenuto testuale con immagine\"\n            class=\"bow-gte-testo-media u-spacer-base\"\n            id=\"\"\n        >\n            \n<div class=\"o-text-media px-side-spacer sm:px-side-spacer-sm lg:px-side-spacer-tablet 2xl:px-side-spacer-desktop flex flex-wrap items-start md:block\">\n\n    \n                    <div class=\"mb-6 relative w-full md:mb-4 lg:mb-8 xl:mb-9\">\n                \n        <div                class=\"m-headings\"\n            >\n    \n    \n<h2 class=\"a-heading text-primary font-heading text-2xl lg:text-3xl xl:text-4xl font-normal mt-2 first:mt-0\">\n                    CONCLUSIONS    <\/h2>\n        <\/div>\n                <\/div>\n        \n        \n                    <div class=\"relative w-full\">\n                \n<div class=\"a-text font-text text-base normal mt-8 first:mt-0 space-y-4\">\n    <p><span dir=\"auto\">In this article we have analyzed the meaning of the three main parameters used to define the\u00a0<\/span><strong><span dir=\"auto\">reliability of a component used in a safety system<\/span><\/strong><span dir=\"auto\">\u00a0. There is an important\u00a0<\/span><strong><span dir=\"auto\">distinction<\/span><\/strong><span dir=\"auto\">\u00a0based on whether the component is\u00a0\u00a0<\/span><strong><span dir=\"auto\">subject to wear or not<\/span><\/strong><span dir=\"auto\">\u00a0.<\/span><\/p>\n<p><span dir=\"auto\">In the first case, the\u00a0<\/span><strong><span dir=\"auto\">failure rate is never constant<\/span><\/strong><span dir=\"auto\">\u00a0. This is a problem that is overcome by defining what is sometimes called a\u00a0<\/span><strong><span dir=\"auto\">surrogate failure rate<\/span><\/strong><span dir=\"auto\">\u00a0.<\/span><\/p>\n<p><span dir=\"auto\">In the case of\u00a0<\/span><strong><span dir=\"auto\">electronic components<\/span><\/strong><span dir=\"auto\">\u00a0, the situation is somewhat simpler, since\u00a0<\/span><strong><span dir=\"auto\">the failure rate characteristics remain constant<\/span><\/strong><span dir=\"auto\">\u00a0over a relatively long period of time. Furthermore, the different types of failure rates\u00a0<\/span><strong><span dir=\"auto\">depend only on the component itself<\/span><\/strong><span dir=\"auto\">\u00a0and its ability to detect whether it is susceptible to failure.<\/span><\/p>\n<\/div>            <\/div>\n        \n        \n                <div class=\"clear-both\"><\/div>\n        \n\n    <\/div>\n        <\/section>\n\n    \n","protected":false},"excerpt":{"rendered":"<p>What are the main reliability data for components used in Security Systems?<\/p>\n","protected":false},"author":1,"featured_media":49618,"parent":49606,"menu_order":0,"template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-50167","pubblicazione","type-pubblicazione","status-publish","has-post-thumbnail","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>P1: Reliability data for components used in safety systems - Gt-Engineering<\/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.gt-engineering.it\/en\/pubblications\/in-depth-articles-tuttomisure\/p1-reliability-data-for-components-used-in-safety-systems\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"P1: Reliability data for components used in safety systems - 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