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ADP3186 Datasheet(PDF) 16 Page - Analog Devices |
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ADP3186 Datasheet(HTML) 16 Page - Analog Devices |
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16 / 24 page ![]() ADP3186 Rev. A | Page 16 of 24 () () Ω k 5 . 145 Ω k 100 mΩ 1 . 1 Ω m 6 . 1 = × = × = x PH CS O L x PH R R R R R Next, use Equation 6 to solve for CCS. nF 75 . 3 Ω k 100 Ω m 6 . 1 nH 600 = × = CS C It is best to have a dual location for CCS in the layout, so that standard values can be used in parallel to get as close as possible to the value desired. For best accuracy, CCS should be a 5% or 10% NPO capacitor. This example uses a 5% combination for CCS of 1.5 nF and 2.2 nF in parallel. Recalculating RPH(X) using this capacitor combination yields a 1% value of 147 kΩ. INDUCTOR DCR TEMPERATURE CORRECTION When the inductor’s DCR is used as the sense element and copper wire is the source of the DCR, one needs to compensate for temperature changes of the inductor’s winding. Fortunately, copper has a well-known temperature coefficient (TC) of 0.39%/°C. If RCS is designed to have an opposite and equal percentage change in resistance to that of the wire, it cancels the tempera- ture variation of the inductor’s DCR. Due to the nonlinear nature of NTC thermistors, resistors RCS1 and RCS2 are needed. See Figure 11 to linearize the NTC and produce the desired temperature tracking. CSSUM 18 CSCOMP PLACE AS CLOSE AS POSSIBLE TO NEAREST INDUCTOR OR LOW-SIDE MOSFET 17 CSREF 16 ADP3186 CCS1 CCS2 RCS1 RTH RCS2 KEEP THIS PATH AS SHORT AS POSSIBLE AND WELL AWAY FROM SWITCH NODE LINES TO SWITCH NODES TO VOUT SENSE RPH1 RPH3 RPH2 Figure 11. Temperature Compensation Circuit Values The following procedure and expressions yield values to use for RCS1, RCS2, and RTH (the thermistor value at 25°C) for a given RCS value: 1. Select an NTC based on type and value. Because the value has not yet been found, start with a thermistor with a value close to RCS. The NTC should also have an initial tolerance of better than 5%. 2. Based on the type of NTC, find its relative resistance value at two temperatures. The temperatures that work well are 50°C and 90°C. These resistance values are called A (RTH(50°C)/RTH(25°C)) and B (RTH(90°C)/RTH(25°C)). Note that the NTC’s relative value is always 1 at 25°C. 3. Find the relative value of RCS required for each of these temperatures. This is based on the percentage change needed, which in this example is initially 0.39%/°C. These are called r1 (1/(1 + TC × (T1 − 25))) and r2 (1/(1 + TC × (T2 − 25))), where TC = 0.0039 for copper. T1 = 50°C and T2 = 90°C are chosen. From this, one can calculate that r1 = 0.9112 and r2 = 0.7978. 4. Compute the relative values for RCS1, RCS2, and RTH using ( ) () ( ) () () ( ) B A r A B r B A r A B r B A r r B A r 2 1 1 2 2 1 CS2 − − × − × − × − × × − × + × − × − × × − = 1 1 1 1 ( ) CS2 1 CS2 CS1 r r A r A r − − − − = 1 1 1 CS1 CS2 TH r r r 1 1 1 1 − − = (8) 5. Calculate RTH = rTH × RCS, then select the closest value of thermistor available. Also compute a scaling factor k based on the ratio of the actual thermistor value used relative to the computed one: () () CALCULATED TH ACTUAL TH R R k = (9) 6. Calculate values for RCS1 and RCS2 using Equation 10: CS1 CS CS1 r k R R × × = ( ) ( ) ( ) CS2 CS CS2 r k k R R × + − × = 1 (10) For this example, RCS has been calculated to be 100 kΩ, so start with a thermistor value of 100 kΩ. Looking through available 0603 size thermistors, one finds a Vishay NTHS0603N01N1003JR NTC thermistor with A = 0.3602 and B = 0.09174. From these, one can compute rCS1 = 0.3796, rCS2 = 0.7195, and rTH = 1.0751. Solving for RTH yields 107.51 kΩ, so 100 kΩ is chosen, making k = 0.9302. Finally, one finds that RCS1 and RCS2 are 35.3 kΩ and 73.9 kΩ. Choosing the closest 1% resistor values yields a choice of 35.7 kΩ and 73.2 kΩ. OUTPUT OFFSET The AMD specification requires that at no load the nominal output voltage of the regulator be offset to a value higher than the nominal voltage corresponding to the VID code. |
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