{"id":2701,"date":"2024-03-07T16:43:58","date_gmt":"2024-03-07T15:43:58","guid":{"rendered":"https:\/\/www.bf-hydraulik.com\/encyclopedia\/efficiency-formulas\/"},"modified":"2026-04-15T11:52:06","modified_gmt":"2026-04-15T09:52:06","slug":"efficiency-formulas","status":"publish","type":"encyclopedia","link":"https:\/\/www.bf-hydraulik.com\/en\/efficiency-formulas\/","title":{"rendered":"Efficiency formulas"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"2701\" class=\"elementor elementor-2701 elementor-1151\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-735b55f8 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"735b55f8\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-2820cb8b\" data-id=\"2820cb8b\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9fb9997 elementor-widget elementor-widget-text-editor\" data-id=\"9fb9997\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h1>Efficiency formulas for hydraulic systems<\/h1><p>The efficiency formula is calculated as the ratio between the energy put into a <a href=\"https:\/\/www.bf-hydraulik.com\/hydraulische-anlagen.html\">hydraulic system<\/a> and the energy obtained from it, i.e., the energy converted into useful work.<\/p><p>In <a href=\"https:\/\/www.bf-hydraulik.com\/en\/hydraulic-system\/\" target=\"_self\" title=\"Hydraulic system: design &amp; applications explained simplyA hydraulic system is used to apply large forces in a targeted manner over a defined distance with minimal effort. The underlying hydraulic principle&hellip;\" class=\"encyclopedia\">hydraulic system<\/a>s, efficiency is very high due to the physics involved. Because hydraulics is based on the incompressibility of its medium, it can achieve up to 90% efficiency. Pneumatic systems, which have to accept major compression losses, achieve only low efficiency.  <\/p><h2>Calculating energy losses in hydraulic systems using the efficiency formula<\/h2><p>In theory, pressure in a <a href=\"https:\/\/www.bf-hydraulik.com\/en\/hydraulic-system\/\" target=\"_self\" title=\"Hydraulic system: design &amp; applications explained simplyA hydraulic system is used to apply large forces in a targeted manner over a defined distance with minimal effort. The underlying hydraulic principle&hellip;\" class=\"encyclopedia\">hydraulic system<\/a> is transmitted from the source to the consumer without losses. In practice, however, many interfering factors occur that reduce the usable energy in the system: <\/p><ul><li>Branches, bends and pipe constrictions<\/li><li>Roughness on the inner wall<\/li><li>Filters with high resistance<\/li><li>Expansion<\/li><li>Leakage<\/li><\/ul><p>Bends and branches redirect the volumetric flow. In the process, part of the energy is converted into heat. The same happens with roughness on the inner walls of hydraulic lines. The required filters create high resistance to the volumetric flow. Weakened flexible hoses can also contribute to pressure loss. Finally, escaping hydraulic oil inevitably reduces the efficiency of the overall system, potentially to a complete standstill.     <\/p><p>All energy losses except leakage are converted into heat. This causes a <a href=\"https:\/\/www.bf-hydraulik.com\/en\/hydraulic-system\/\" target=\"_self\" title=\"Hydraulic system: design &amp; applications explained simplyA hydraulic system is used to apply large forces in a targeted manner over a defined distance with minimal effort. The underlying hydraulic principle&hellip;\" class=\"encyclopedia\">hydraulic system<\/a> to heat up quickly. For large systems, appropriate cooling equipment is therefore required. Otherwise, the hydraulic oil would begin to boil and become enriched with compressible gases. This would disrupt the entire operation of the system.    <\/p><h3>Formulas for hydraulic efficiency<\/h3><p>The symbol for efficiency is the Greek letter &eta; (eta). The general formula is E(out) (useful energy) divided by E(in) (input energy). <\/p><p>Alternatively, power P can be used as the basis for calculating efficiency. The resulting value is always between 0 and 1. However, 1 is never reached, as there is no system that can achieve 100% efficiency. <\/p><h3>Efficiency formula for the overall system or individual components<\/h3><p>The overall efficiency of a pump is the volumetric efficiency multiplied by the hydromechanical efficiency. There are also tables for pumps and motors that can be used as a design basis for efficiency. Typical values are:  <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-668d37d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"668d37d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-07fc235\" data-id=\"07fc235\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3b35c4b elementor-widget elementor-widget-text-editor\" data-id=\"3b35c4b\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong><a href=\"https:\/\/www.bf-hydraulik.com\/en\/hydraulic-pump\/\" target=\"_self\" title=\"Hydraulic pump provides pressure and volume flowThe hydraulic pump is the core component of a hydraulic system. It ensures the circulation of the hydraulic fluid. In doing so, it generates&hellip;\" class=\"encyclopedia\">Hydraulic pump<\/a>s<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b562a16 elementor-widget elementor-widget-basic-table\" data-id=\"b562a16\" data-element_type=\"widget\" data-widget_type=\"basic-table.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"tablentor-bt-b562a16\" class=\"ct-basic-table-container\"><table class=\"ct-basic-table\"><tr><td><p>External gear pump<\/p>\n<\/td> <td><p>0,5 - 0,9<\/p>\n<\/td><\/tr><tr><td><p>Internal gear pump<\/p>\n<\/td> <td><p>0,6 - 0,9<\/p>\n<\/td><\/tr><tr><td><p>Screw pump<\/p>\n<\/td> <td><p>0,6 - 0,8<\/p>\n<\/td><\/tr><tr><td><p><a href=\"https:\/\/www.bf-hydraulik.com\/en\/vane-pump\/\" target=\"_self\" title=\"Vane pump as a pressure and suction pump for pneumatics and hydraulicsThe vane pump (also known as a rotary vane pump) is a practical delivery device and pressure generator. Its&hellip;\" class=\"encyclopedia\">Vane pump<\/a><\/p>\n<\/td> <td><p>0,65 - 0,85<\/p>\n<\/td><\/tr><tr><td><p>Axial piston pump<\/p>\n<\/td> <td><p>0,8 - 0,9<\/p>\n<\/td><\/tr><tr><td><p><a href=\"https:\/\/www.bf-hydraulik.com\/en\/radial-piston-pump\/\" target=\"_self\" title=\"Radial piston pump ensures high pressuresA radial piston pump is a type of hydraulic delivery pump. It is characterized by its ability to reach very high pressures of up to&hellip;\" class=\"encyclopedia\">Radial piston pump<\/a><\/p>\n<\/td> <td><p>0,8 - 0,9<\/p>\n<\/td><\/tr><\/table>\t\t<script>\n\t\t\tjQuery(document).ready(function($){\n\t\t\t\tvar container_id = '#tablentor-bt-b562a16';\n\t\t\t\t$( container_id + \" .tablentor-bt-search-input\").on(\"keyup\", function() {\n\t\t\t\t\tvar value = $(this).val().toLowerCase();\n\t\t\t\t\t$( container_id + \" .ct-basic-table tr\").filter(function() {\n\t\t\t\t\t\t$(this).toggle($(this).text().toLowerCase().indexOf(value) > -1)\n\t\t\t\t\t\t});\n\t\t\t\t});\n\t\t\t});\n\t\t<\/script>\n\t\t<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-a454b01\" data-id=\"a454b01\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-57ae4fa elementor-widget elementor-widget-text-editor\" data-id=\"57ae4fa\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Radial <a href=\"https:\/\/www.bf-hydraulik.com\/en\/hydraulic-motor\/\" target=\"_self\" title='Hydraulic motor: linear and radial movementsGenerally speaking, a motor is a device that converts power into motion. In hydraulics, such a device is called a \"hydraulic motor\" in accordance with&hellip;' class=\"encyclopedia\">hydraulic motor<\/a>s<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3ca3c9e elementor-widget elementor-widget-basic-table\" data-id=\"3ca3c9e\" data-element_type=\"widget\" data-widget_type=\"basic-table.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"tablentor-bt-3ca3c9e\" class=\"ct-basic-table-container\"><table class=\"ct-basic-table\"><tr><td><p>Axial piston motor<\/p>\n<\/td> <td><p>0,90<\/p>\n<\/td><\/tr><tr><td><p>Radial piston motor<\/p>\n<\/td> <td><p>0,90<\/p>\n<\/td><\/tr><\/table>\t\t<script>\n\t\t\tjQuery(document).ready(function($){\n\t\t\t\tvar container_id = '#tablentor-bt-3ca3c9e';\n\t\t\t\t$( container_id + \" .tablentor-bt-search-input\").on(\"keyup\", function() {\n\t\t\t\t\tvar value = $(this).val().toLowerCase();\n\t\t\t\t\t$( container_id + \" .ct-basic-table tr\").filter(function() {\n\t\t\t\t\t\t$(this).toggle($(this).text().toLowerCase().indexOf(value) > -1)\n\t\t\t\t\t\t});\n\t\t\t\t});\n\t\t\t});\n\t\t<\/script>\n\t\t<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-4d0ecdd\" data-id=\"4d0ecdd\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-42276ce elementor-widget elementor-widget-text-editor\" data-id=\"42276ce\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><strong>Radial linear actuators<\/strong><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2898eb8 elementor-widget elementor-widget-basic-table\" data-id=\"2898eb8\" data-element_type=\"widget\" data-widget_type=\"basic-table.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"tablentor-bt-2898eb8\" class=\"ct-basic-table-container\"><table class=\"ct-basic-table\"><tr><td><p>Hydraulic cylinder<\/p>\n<\/td> <td><p>0,85 - 0,90<\/p>\n<\/td><\/tr><\/table>\t\t<script>\n\t\t\tjQuery(document).ready(function($){\n\t\t\t\tvar container_id = '#tablentor-bt-2898eb8';\n\t\t\t\t$( container_id + \" .tablentor-bt-search-input\").on(\"keyup\", function() {\n\t\t\t\t\tvar value = $(this).val().toLowerCase();\n\t\t\t\t\t$( container_id + \" .ct-basic-table tr\").filter(function() {\n\t\t\t\t\t\t$(this).toggle($(this).text().toLowerCase().indexOf(value) > -1)\n\t\t\t\t\t\t});\n\t\t\t\t});\n\t\t\t});\n\t\t<\/script>\n\t\t<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-2146943 elementor-widget elementor-widget-text-editor\" data-id=\"2146943\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<h3>Efficiency formulas in practice<\/h3><p>The theoretical pre-calculation of efficiency is an important basis for designing a <a href=\"https:\/\/www.bf-hydraulik.com\/en\/hydraulic-system\/\" target=\"_self\" title=\"Hydraulic system: design &amp; applications explained simplyA hydraulic system is used to apply large forces in a targeted manner over a defined distance with minimal effort. The underlying hydraulic principle&hellip;\" class=\"encyclopedia\">hydraulic system<\/a>. However, it is also known that the calculated value can only be approximated. Therefore, in complex <a href=\"https:\/\/www.bf-hydraulik.com\/en\/hydraulic-system\/\" target=\"_self\" title=\"Hydraulic system: design &amp; applications explained simplyA hydraulic system is used to apply large forces in a targeted manner over a defined distance with minimal effort. The underlying hydraulic principle&hellip;\" class=\"encyclopedia\">hydraulic system<\/a>s, efficiency is determined empirically after completion. To do so, pressure losses and temperature development are measured and compared with the calculated value.   <\/p><h3>Measures to increase overall efficiency<\/h3><p>One way to increase the overall efficiency of a <a href=\"https:\/\/www.bf-hydraulik.com\/en\/hydraulic-system\/\" target=\"_self\" title=\"Hydraulic system: design &amp; applications explained simplyA hydraulic system is used to apply large forces in a targeted manner over a defined distance with minimal effort. The underlying hydraulic principle&hellip;\" class=\"encyclopedia\">hydraulic system<\/a> is to make effective use of the waste heat generated. Another option is to use available kinetic energy to drive the <a href=\"https:\/\/www.bf-hydraulik.com\/en\/hydraulic-pump\/\" target=\"_self\" title=\"Hydraulic pump provides pressure and volume flowThe hydraulic pump is the core component of a hydraulic system. It ensures the circulation of the hydraulic fluid. In doing so, it generates&hellip;\" class=\"encyclopedia\">hydraulic pump<\/a>. For example, if steam pressure is generated in a system, it can be used via a turbine to rotate the pump.  <\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-17578f6\" data-id=\"17578f6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-18d5d30 elementor-widget elementor-widget-sidebar\" data-id=\"18d5d30\" data-element_type=\"widget\" data-widget_type=\"sidebar.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div style=\"display:none;\">Search<\/div><form role=\"search\" method=\"get\" class=\"encyclopedia search-form\" action=\"https:\/\/www.bf-hydraulik.com\/en\/encyclopedia\/\">\n    \n    \n    <label class=\"screen-reader-text\" for=\"encyclopedia-search-term\">Search<\/label>\n    <input type=\"text\" 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