{"id":1599,"date":"2026-03-05T17:28:08","date_gmt":"2026-03-05T16:28:08","guid":{"rendered":"https:\/\/eltra.bfenterprise.it\/encoder-pedia\/cose-lencoder-induttivo\/"},"modified":"2026-04-02T11:36:08","modified_gmt":"2026-04-02T09:36:08","slug":"what-is-an-inductive-encoder","status":"publish","type":"page","link":"https:\/\/eltra.bfenterprise.it\/en\/encoder-pedia\/what-is-an-inductive-encoder\/","title":{"rendered":"What is an inductive encoder?"},"content":{"rendered":"<p>Rotary encoders based on\u00a0<strong>inductive technology<\/strong>\u00a0with\u00a0<strong>sine\/cosine (Sin\/Cos)<\/strong>\u00a0analogue output interface represent an advanced solution in the field of angular position sensing. These devices have been developed to overcome the limitations of fragility and sensitivity to external agents typical of optical encoders.<\/p>\n<h4>Operating principle<\/h4>\n<p>The operation of an inductive encoder is based on the physical principle of eddy currents.<\/p>\n<ul>\n<li>Structure and components: the encoder mainly consists of two elements: the\u00a0<strong>stator<\/strong>\u00a0(fixed, called sensor board), which contains the excitation electronics for the\u00a0<strong>transmitting coil<\/strong>\u00a0(implemented as a copper track on a printed circuit board (PCB)) and the\u00a0<strong>receiving coils<\/strong>\u00a0(also implemented as tracks on a PCB), and the\u00a0<strong>rotor<\/strong>\u00a0(mobile, called target board), which is a disc (often made of copper or aluminium) with a geometric subdivision depending on the resolution of the product. There are no mechanical contacts or delicate optical discs.<\/li>\n<li>Field generation and position detection: the transmitting coil generates an alternating electromagnetic field, which in turn induces secondary voltages in the two receiving coils. The amplitude and phase of these induced voltages vary proportionally to the position of the target above the coils. By demodulating and processing these secondary voltages, the electronics on board the stator acquire a precise signal representing the exact position of the target.<\/li>\n<\/ul>\n<ul>\n<li>Output signal: position information is used by the electronics in the stator to produce output signals that vary sinusoidally\/cosinusoidally in relation to the angle.<\/li>\n<\/ul>\n<table class=\"mceItemTable\">\n<tbody>\n<tr>\n<td><img decoding=\"async\" class=\"aligncenter\" title=\"\" 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alt=\"\" \/><\/td>\n<td>\u00a0<img decoding=\"async\" class=\"aligncenter\" title=\"\" 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\" alt=\"\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">Stator example (sensor board)<\/td>\n<td style=\"text-align: center;\">Rotor example (target board)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Analogue sine\/cosine interface<\/strong><\/p>\n<p>The output of the inductive encoder consists of two phase-quadrature sinusoidal analogue signals: VSen and VCos.<\/p>\n<ul>\n<li>Quadrature: The two signals are phase-shifted by exactly 90\u00b0 electrical degrees. This phase shift is essential because it ensures that, for every angle \u03b8, one signal is at its maximum variation (slope), while the other is at zero or at its maximum value.\n<p class=\"math-block\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\">Sen<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">\u221d<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">A<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mop\">sin<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">P<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">\u03b8<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<p class=\"math-block\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\">Cos<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">\u221d<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">A<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mop\">cos<\/span><span class=\"mopen\">(<\/span><span class=\"mord mathnormal\">P<\/span><span class=\"mbin\">\u22c5<\/span><\/span><span class=\"base\"><span class=\"mord mathnormal\">\u03b8<\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<p>Where A is the amplitude, P is the number of electrical periods per revolution (determined by the rotor pattern), and \u03b8 is the mechanical angle.<\/li>\n<\/ul>\n<table class=\"mceItemTable\">\n<tbody>\n<tr>\n<td><img decoding=\"async\" class=\"aligncenter\" title=\"\" src=\"data:image\/png;base64,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\" alt=\"\" \/><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">Sine\/Cosine signals (differential)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>The use of analogue sinusoidal signals is a prerequisite for electronic interpolation. The receiving circuit (often an external ASIC interpolator or one integrated into the drive) samples the Sin and Cos signals and uses the arctangent function to calculate the angle with high precision within a single electrical period:<\/p>\n<ul>\n<li>\n<p class=\"math-block\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-html\"><span class=\"base\"><span class=\"mord\"><span class=\"mord mathnormal\">\u03b8<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\">electric<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mrel\">=<\/span><\/span><span class=\"base\"><span class=\"mop\">arctan<\/span><span class=\"mopen\">(<\/span><span class=\"mord\"><span class=\"mord mathnormal\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\">Sen<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mord\">\/<\/span><span class=\"mord\"><span class=\"mord mathnormal\">V<\/span><span class=\"msupsub\"><span class=\"vlist-t vlist-t2\"><span class=\"vlist-r\"><span class=\"vlist\"><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mtight\"><span class=\"mord text mtight\">Cos<\/span><\/span><\/span><\/span><span class=\"vlist-s\">\u200b<\/span><\/span><\/span><\/span><\/span><span class=\"mclose\">)<\/span><\/span><\/span><\/span><\/span><\/p>\n<\/li>\n<\/ul>\n<p>This process allows you to obtain the equivalent of thousands or hundreds of thousands of digital pulses per revolution starting from a low-frequency analogue signal, simulating an encoder with a number of lines much higher than what can be achieved digitally at the same speed. Unlike high-resolution digital encoders, which generate signal frequencies in the MHz range at high speeds (risking signal integrity issues over long distances), the base frequency of Sin\/Cos signals remains relatively low (usually in the kHz range), which facilitates signal transmission and processing.<\/p>\n<h4><strong>Advantages and applications<\/strong><\/h4>\n<p>Sin\/Cos inductive technology is preferred for its robustness and reliability in harsh environments. The main advantages are:<\/p>\n<ul>\n<li>Environmental immunity: The operating principle is not affected by common contaminants such as dust, dirt, grease, moisture, oils and condensation. The sensor board can be further protected (e.g. with conforma coating) while the metal disc (rotor) is inherently robust, making these encoders ideal for applications in heavy robotics, machine tools (CNC), offshore installations and the wind power sector.<\/li>\n<li>Mounting tolerances: the coupling between the stator and rotor can have wider tolerances in terms of axial and radial misalignment than optical encoders, simplifying installation and reducing precision assembly costs.<\/li>\n<li>Feedback for servo motors: these are the standard choice for position and speed feedback in modern servo motors. The quality and smoothness of the Sin\/Cos signals enable extremely precise torque and speed control, improving the dynamic performance of the motor.<\/li>\n<li>Continuous diagnostics: monitoring the trigonometric relationship VSen2 + VCos2 = constant (known as the Lissajous circle) enables real-time diagnostics of signal integrity, which is essential for safety applications.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Rotary encoders based on\u00a0inductive technology\u00a0with\u00a0sine\/cosine (Sin\/Cos)\u00a0analogue output interface represent an advanced solution in the field [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":721,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-1599","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/eltra.bfenterprise.it\/en\/wp-json\/wp\/v2\/pages\/1599","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/eltra.bfenterprise.it\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/eltra.bfenterprise.it\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/eltra.bfenterprise.it\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/eltra.bfenterprise.it\/en\/wp-json\/wp\/v2\/comments?post=1599"}],"version-history":[{"count":3,"href":"https:\/\/eltra.bfenterprise.it\/en\/wp-json\/wp\/v2\/pages\/1599\/revisions"}],"predecessor-version":[{"id":1612,"href":"https:\/\/eltra.bfenterprise.it\/en\/wp-json\/wp\/v2\/pages\/1599\/revisions\/1612"}],"up":[{"embeddable":true,"href":"https:\/\/eltra.bfenterprise.it\/en\/wp-json\/wp\/v2\/pages\/721"}],"wp:attachment":[{"href":"https:\/\/eltra.bfenterprise.it\/en\/wp-json\/wp\/v2\/media?parent=1599"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}