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LMT88 Datasheet(PDF) 11 Page - Texas Instruments |
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LMT88 Datasheet(HTML) 11 Page - Texas Instruments |
11 / 23 page 6 O 6 (1.8639 V 2.1962 10 3.88 10 ) T 1481.96 u u LMT88 www.ti.com SNIS175A – MARCH 2013 – REVISED JANUARY 2015 Typical Applications (continued) Solving for T: where • T is temperature, and VO is the measured output voltage of the LMT88. Equation 6 is the most accurate equation that can be used to calculate the temperature of the LMT88. (6) An alternative to the quadratic equation a second order transfer function can be determined using "least squares" method: T = ( −2.3654×VO 2) + (−78.154×V O ) + 153.857 where • T is temperature express in °C and VO is the output voltage expressed in volts. (7) A linear transfer function can be used over a limited temperature range by calculating a slope and offset that give best results over that range. A linear transfer function can be calculated from the parabolic transfer function of the LMT88. The slope of the linear transfer function can be calculated using the following equation: m = −7.76 × 10 −6× T − 0.0115, where • T is the middle of the temperature range of interest and m is in V/°C. For example for the temperature range of TMIN = −30 to TMAX = 100°C: (8) T = 35°C (9) and m = −11.77 mV/°C (10) The offset of the linear transfer function can be calculated using the following equation: b = (VOP(TMAX) + VOP(T) − m × (TMAX+T))/2 where • VOP(TMAX) is the calculated output voltage at TMAX using the parabolic transfer function for VO. • VOP(T) is the calculated output voltage at T using the parabolic transfer function for VO. (11) Using this procedure, the best fit linear transfer function for many popular temperature ranges was calculated in Table 3. As shown in Table 3, the error that is introduced by the linear transfer function increases with wider temperature ranges. Table 3. First Order Equations Optimized for Different Temperature Ranges TEMPERATURE RANGE MAXIMUM DEVIATION OF LINEAR EQUATION LINEAR EQUATION FROM PARABOLIC EQUATION (°C) Tmin (°C) Tmax (°C) −55 130 VO = −11.79 mV/°C × T + 1.8528 V ±1.41 −40 110 VO = −11.77 mV/°C × T + 1.8577 V ±0.93 −30 100 VO = −11.77 mV/°C × T + 1.8605 V ±0.70 -40 85 VO = −11.67 mV/°C × T + 1.8583 V ±0.65 −10 65 VO = −11.71 mV/°C × T + 1.8641 V ±0.23 35 45 VO = −11.81 mV/°C × T + 1.8701 V ±0.004 20 30 VO = –11.69 mV/°C × T + 1.8663 V ±0.004 Copyright © 2013–2015, Texas Instruments Incorporated Submit Documentation Feedback 11 Product Folder Links: LMT88 |
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