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SC411 Scheda tecnica(PDF) 14 Page - Semtech Corporation |
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SC411 Scheda tecnica(HTML) 14 Page - Semtech Corporation |
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14 / 27 page ![]() 14 © 2007 Semtech Corp. www.semtech.com SC411 POWER MANAGEMENT Application Information (Cont.) For our example: ERR TR = 96mV and ERRDC = 26.4mV, therefore, R ESR_TR(MAX) = 9.8mΩ for a full 6A load transient We will select a value of 12.5mΩ maximum for our de- sign, which would be achieved by using two 25mΩ output capacitors in parallel. Note that for constant-on converters there is a minimum ESR requirement for stability which can be calculated as follows: This criteria should be checked once the output capacitance has been determined. Now that we know the output ESR we can calculate the output ripple voltage: and, For our example: V RIPPLE_VBAT(MAX) = 27mVP-P and VRIPPLE_VBAT(MIN) = 22mVP-P Note that in order for the device to regulate in a controlled manner, the ripple content at the feedback pin, V FB, should be approximately 15mV P-P at minimum VBAT, and worst case no smaller than 10mV P-P. If V RIPPLE_VBAT(MIN) is less than 15mV P-P the above component values should be revisited in order to improve this. Quite often a small capacitor, C TOP, is required in parallel with the top feedback resis- tor, R TOP, in order to ensure that VFB is large enough. CTOP should not be greater than 100pF. The value of C TOP can be calculated as follows, where R BOT is the bottom feed- back resistor. SW OUT ) MIN ( ESR f C 2 3 R • • π • = Firstly calculating the value of Z TOP required: ()Ohms 015 . 0 V 015 . 0 R Z ) MIN ( VBAT _ RIPPLE BOT TOP − • = Secondly calculating the value of C TOP required to achieve this: For our example we will use R TOP = 20.0kΩ and RBOT = 14.3kΩ, therefore, Z TOP = 6.67kΩ and CTOP = 60pF We will select a value of C TOP = 56pF. Calculating the value of VFB based upon the selected C TOP: P P TOP ) MIN ( VBAT _ SW TOP BOT BOT ) MIN ( VBAT _ RIPPLE ) MIN ( VBAT _ FB V C f 2 R 1 1 R R V V − ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎝ ⎛ • • π • + + • = For our example: V FB_VBAT(MIN) = 14.8mVP-P - good Next we need to calculate the minimum output capaci- tance required to ensure that the output voltage does not exceed the transient maximum limit, POSLIM TR, starting from the actual static maximum, V OUT_ST_POS, when a load release occurs: For our example: V OUT_ST_POS = 1.226V P P ) MAX ( VBAT _ RIPPLE ESR ) MAX ( VBAT _ RIPPLE V I R V − • = P P ) MIN ( VBAT _ RIPPLE ESR ) MIN ( VBAT _ RIPPLE V I R V − • = F f 2 R 1 Z 1 C ) MIN ( VBAT _ SW TOP TOP TOP • π • ⎟⎟ ⎠ ⎞ ⎜⎜ ⎝ ⎛ − = V ERR V V DC OUT POS _ ST _ OUT + = V TOL V POSLIM TR OUT TR • = |
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