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SC488 Datenblatt(PDF) 15 Page - Semtech Corporation |
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SC488 Datenblatt(HTML) 15 Page - Semtech Corporation |
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15 / 24 page ![]() 15 © 2006 Semtech Corp. www.semtech.com SC488 POWER MANAGEMENT We will select an inductor value of 1.5μH to reduce the ripple current, which can be calculated as follows: P P A L ) MIN ( VBAT ON_ t OUT V ) MIN ( BAT V ) MIN ( BAT RIPPLE_V I and, P P A L ) MAX ( VBAT ON_ t OUT V ) MAX ( BAT V ) MAX ( BAT RIPPLE_V I For our example: I RIPPLE_VBAT(MIN) = 3.39AP-P and IRIPPLE_VBAT(MAX) = 4.34AP-P From this we can calculate the minimum inductor current rating for normal operation: (MIN) A 2 ) MAX ( T RIPPLE_VBA I ) MAX ( OUT I ) MIN ( INDUCTOR I For our example: I INDUCTOR(MIN) = 12.2A(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 ) MAX ( BAT V _ RIPPLE I 2 DC ERR ST ERR ) MAX ( ST _ ESR R 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 internal feedback. (Use 2% for external feedback which is 1% plus another 1% for the external resistors.) For our example: ERR ST = 36mV and, ERRDC = 18mV, therefore, R ESR_ST(MAX) = 8.3mΩ Ohms 2 ) MAX ( T RIPPLE_VBA I TRANS I DC ERR TR ERR ) MAX ( TR ESR_ R where ERR TR is the transient output tolerance. For this case, I TRANS is the load transient of 5A (10A - 5A). For our example: ERR TR = 144mV and ERRDC = 18mV, therefore, R ESR_TR(MAX) = 17.6mΩ for a full 5A load transient. We will select a value of 6mΩ maximum for our design, which would be achieved by using two 12mΩ output ca- pacitors in parallel. Now that we know the output ESR we can calculate the output ripple voltage: P P V ) MIN ( T RIPPLE_VBA I ESR R ) MIN ( T RIPPLE_VBA V and, P P V ) MAX ( T RIPPLE_VBA I ESR R ) MAX ( T RIPPLE_VBA V For our example: V RIPPLE_VBAT(MAX) = 20mVP-P and VRIPPLE_VBAT(MIN) = 26mVP-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. Note that the voltage ripple at FB is smaller than the voltage ripple at the output capaci- tor, due to the resistor divider. Also, when using internal feedback (FB pin tied to 5V or GND), the FB resistor di- vider is actually inside the IC. If V RIPPLE_VBAT(MIN) as seen at the FB point is less than 15mV P-P - whether internal or ex- ternal FB is used - the above component values should be revisited in order to improve this. For our example, since the internal divider reduces the ripple signal by a factor of (1.5V/1.8V), the internal FB ripple values are then 17mV and 22mV, which is above the 15mV minimum. Application Information (Cont.) |
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