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SC486 датащи(PDF) 16 Page - Semtech Corporation |
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SC486 датащи(HTML) 16 Page - Semtech Corporation |
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16 / 26 page ![]() 16 2006 Semtech Corp. www.semtech.com SC486 POWER MANAGEMENT Design Procedure (Cont.) For our DDR2 VDDQ example: I RIPPLE_VBAT(MIN) = 2.62AP-P and IRIPPLE_VBAT(MAX) = 3.28AP-P From this we can calculate the minimum inductor current rating for normal operation: ) MIN ( ) MAX ( VBAT _ RIPPLE ) MAX ( OUT ) MIN ( INDUCTOR A 2 I I I + = For our DDR2 VDDQ example: I INDUCTOR(MIN) = 11.6A(MIN) Next we will calculate the maximum output capacitor equivalent series resistance (ESR). This is determined by calculating the remaining static and transient tolerance allowances. Then the maximum ESR is the smaller of the calculated static ESR (R ESR_ST(MAX)) and transient ESR (R ESR_TR(MAX)): () Ohms I 2 ERR ERR R ) MAX ( VBAT _ RIPPLE DC ST ) MAX ( ST _ ESR • − = Where ERR ST is the static output tolerance and ERRDC is the DC error. The DC error will be 1% plus the tolerance of the feedback resistors, thus 2% total for 1% feedback resistors. For our DDR2 VDDQ example: ERR ST = 72mV and ERRDC = 36mV, therefore R ESR_ST(MAX) = 22mΩ () Ohms 2 I I ERR ERR R ) MAX ( VBAT _ RIPPLE OUT DC TR ) MAX ( TR _ ESR + − = Where ERR TR is the transient output tolerance. Note that this calculation assumes that the worst case load transient is full load. For half of full load, divide the I OUT term by 2. For our DDR2 VDDQ example: ERR TR = 100mV and ERRDC = 36mV, therefore R ESR_TR(MAX) = 5.5mΩ for a full 10A load transient We will select a value of 7.5m Ω maximum for our design, which would be achieved by using two 15m Ω output capacitors in parallel. Note that for constant-on converters there is a minimum ESR requirement for stability which can be calculated as follows: SW OUT ) MIN ( ESR f C 2 3 R • • π • = 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: P P ) MAX ( VBAT _ RIPPLE ESR ) MAX ( VBAT _ RIPPLE V I R V − • = and P P ) MIN ( VBAT _ RIPPLE ESR ) MIN ( VBAT _ RIPPLE V I R V − • = For our DDR2 VDDQ example: V RIPPLE_VBAT(MAX) = 25mVP-P and VRIPPLE_VBAT(MIN) = 20mVP-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 15mVP-P at minimum V BAT, and wo rst case no smaller than 10mVP-P. If V RIPPLE_VBAT(MIN) is less than 15mVP-P the above component values should be revisited in order to improve this. A small capacitor, C TOP, may be required in parallel with the top feedback resistor, R TOP, in order to ensure that VFB is large enough. C TOP should not be greater than 100pF. The value of C TOP can be calculated as follows, where RBOT is the bottom feedback resistor. Firstly calculating the value of Z TOP required: ()Ohms 015 . 0 V 015 . 0 R Z ) MIN ( VBAT _ RIPPLE BOT TOP − • = |
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