

{"id":7110,"date":"2020-01-05T10:48:46","date_gmt":"2020-01-05T09:48:46","guid":{"rendered":"https:\/\/www.friwo.com\/?p=7110"},"modified":"2020-06-16T10:50:04","modified_gmt":"2020-06-16T08:50:04","slug":"examination-and-assessment-of-lithium-ion-battery-life","status":"publish","type":"post","link":"https:\/\/www.friwo.com\/en\/news\/examination-and-assessment-of-lithium-ion-battery-life\/","title":{"rendered":"Examination and assessment of lithium-ion battery life"},"content":{"rendered":"<p><em>For many applications the use of lithium-ion cells requires an estimate of the expected battery pack&#8217;s life. This consideration is an important aspect not only for direct application, but also for the definition of service intervals, and last but not least for storage.<\/em><br \/>\n<em>The life of a battery pack is determined essentially by two factors:<\/em><br \/>\n<em>Cyclical and calendrical aging. This paper provides an overview of these two aging processes and their significance.<\/em><\/p>\n<p>Service life factors of battery packs<br \/>\nThe service life of a battery pack is defined by the cyclical life (how often can a battery be charged and discharged?) and the calendrical life (how much capacity does the battery lose due to aging effects?). In general, with regular use of the application, the number of cycles determines the end of life of the battery because charging and discharging processes damage the battery faster than aging processes.<\/p>\n<p><img decoding=\"async\" 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\" alt=\"\" \/><\/p>\n<p>Figure 1: Life span of a lithium-ion battery pack<br \/>\nData sheets of the cells used provide the first clues as to the life span of a battery pack. Here you will find information on the number of cycles and storage, which can only serve as first indicators of the actual life: Especially the number of cycles indicated in the data sheets depends on a variety of marginal and side conditions, which often deviate from the real operating conditions of the specific application.<\/p>\n<p>Factor 1: Cyclical aging<br \/>\nCyclical aging describes the proportion of aging that results from the battery use (repeated charging and discharging). This can be attributed to chemical and mechanical wear effects, including, for example, thermal expansion or dendrite growth.<br \/>\nFor cyclical aging, the depth of discharge is a crucial factor. A deep discharge stresses the material chemically and mechanically, reducing the number of possible cycles. This correlation, however, is not linear, so halving the depth of discharge can double the number of possible cycles.<br \/>\nWith a depth of discharge between 90 % and 100 %, the cyclical aging is particularly high, which is why this area is used only in exceptional cases. Generally, applications work at discharge depths of \u2264 90 %.<br \/>\nIn addition to a limited depth of discharge, the number of possible cycles can also be influenced by regulating the end-of-charge voltage. Thus limitations of the charging voltage to a value below the nominal charge end voltage can double the number of cycles.<\/p>\n<p><img decoding=\"async\" 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\" alt=\"\" \/><\/p>\n<p>Figure 2: Dependence of the cyclical life on the charging level and discharge of a Li-ion cell<\/p>\n<p>The amount of charging currents is an important aspect for determining and influencing the service life. Due to time savings, in practice, a quick charging method is used. The charging current is often a multiple of the standard charging current specified in the data sheet, which leads to a drastic reduction in the number of cycles in a consistent use of the quick charging process due to the higher thermal and mechanical stress on the cells. FRIWO&#8217;s measurements show that charging with 1C instead of 0.5C nearly halves the cyclical life.<br \/>\nCyclical aging therefore depends significantly on the application and battery use. The more accurately the load conditions of the application can be modeled, the more precisely the cyclical aging can be investigated and estimated by means of long-term measurement.<\/p>\n<p>Factor 2: Calendrical aging<br \/>\nWith increasing cell age, chemical deterioration processes start which can attack the electrolyte as well as anode and cathode materials. The concomitant loss of capacity is described by the second aging mechanism: the so-called calendrical aging.<br \/>\nDecisive factors for this decay process are the charging state of the cells and the ambient temperature. According to the &#8220;RGT rule&#8221; (reaction rate temperature rule, also known as van &#8216;t-Hoff&#8217;s rule) the calendrical life is halved at a temperature increase of 10 K.<br \/>\nThe following arithmetic example is meant to exemplarily depict a possible estimate of calendrical aging. As a first approximation, a linear approach can be chosen.<br \/>\nA cell manufacturer reports a 90 % recovery for his cell after 1.5 years in a temperature range of -30&#8230;25\u00b0C. According to the manufacturer, the official end of life reads 60 %. This suggests a theoretical service life in conjunction with calendrical aging if the cell is stored according to the specifications: with 10 % capacity loss per 1.5 years, a total of six years elapse until the final value of 60 % is reached. However, in reality, this theoretical life will be reduced due to the cyclical aging and application, which will ultimately be less than six years.<br \/>\nThe specific cyclical aging of a rechargeable battery can be investigated and estimated by FRIWO on the basis of load profiles. Considering the calendrical aging, a realistic service life estimation of the battery pack is thus possible.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>For many applications the use of lithium-ion cells requires an estimate of the expected battery pack&#8217;s life. This consideration is an important aspect not only for direct application, but also for the definition of service intervals, and last but not least for storage. The life of a battery pack is determined essentially by two factors: [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":7103,"comment_status":"open","ping_status":"open","sticky":false,"template":"single-blog.php","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[19],"tags":[76,77],"class_list":["post-7110","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news","tag-battery","tag-llife-factors-of-battery-packs"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Examination and assessment of lithium-ion battery life - FRIWO<\/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.friwo.com\/en\/news\/examination-and-assessment-of-lithium-ion-battery-life\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Examination and assessment of lithium-ion battery life - FRIWO\" \/>\n<meta property=\"og:description\" content=\"For many applications the use of lithium-ion cells requires an estimate of the expected battery pack&#8217;s life. This consideration is an important aspect not only for direct application, but also for the definition of service intervals, and last but not least for storage. The life of a battery pack is determined essentially by two factors: [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.friwo.com\/en\/news\/examination-and-assessment-of-lithium-ion-battery-life\/\" \/>\n<meta property=\"og:site_name\" content=\"FRIWO\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/friwogeraetebau1\/\" \/>\n<meta property=\"article:published_time\" content=\"2020-01-05T09:48:46+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2020-06-16T08:50:04+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.friwo.com\/wp-content\/uploads\/FB4S1P_a-2015-scaled.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2560\" \/>\n\t<meta property=\"og:image:height\" content=\"1920\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"siteAdmin\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@FRIWOGmbH\" \/>\n<meta name=\"twitter:site\" content=\"@FRIWOGmbH\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"siteAdmin\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.friwo.com\/en\/news\/examination-and-assessment-of-lithium-ion-battery-life\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.friwo.com\/en\/news\/examination-and-assessment-of-lithium-ion-battery-life\/\"},\"author\":{\"name\":\"siteAdmin\",\"@id\":\"https:\/\/www.friwo.com\/de\/#\/schema\/person\/9246bb8786b6c378872fa97babbf1b20\"},\"headline\":\"Examination and assessment of lithium-ion battery life\",\"datePublished\":\"2020-01-05T09:48:46+00:00\",\"dateModified\":\"2020-06-16T08:50:04+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.friwo.com\/en\/news\/examination-and-assessment-of-lithium-ion-battery-life\/\"},\"wordCount\":775,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.friwo.com\/de\/#organization\"},\"image\":{\"@id\":\"https:\/\/www.friwo.com\/en\/news\/examination-and-assessment-of-lithium-ion-battery-life\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.friwo.com\/wp-content\/uploads\/FB4S1P_a-2015-scaled.jpg\",\"keywords\":[\"Battery\",\"Llife factors of battery packs\"],\"articleSection\":[\"News\"],\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.friwo.com\/en\/news\/examination-and-assessment-of-lithium-ion-battery-life\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.friwo.com\/en\/news\/examination-and-assessment-of-lithium-ion-battery-life\/\",\"url\":\"https:\/\/www.friwo.com\/en\/news\/examination-and-assessment-of-lithium-ion-battery-life\/\",\"name\":\"Examination and assessment of lithium-ion battery life - 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