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LTC3113 Datasheet(PDF) 17 Page - Linear Technology |
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LTC3113 Datasheet(HTML) 17 Page - Linear Technology |
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17 / 24 page ![]() LTC3113 17 3113f APPLICATIONS INFORMATION CLOSING THE FEEDBACK LOOP The LTC3113 incorporates voltage mode PWM control. The control-to-output gain varies with the operation region (buck, buck-boost, boost), but is usually no greater than 15. The output filter exhibits a double pole response, as given by: f FILTER _ POLE = 1 2 π LC OUT Hz () In Buck Region () f FILTER _ POLE = 1 2 π LC OUT V IN V OUT Hz () In Boost Region () where L is in Henries and COUT is in Farads. The output filter zero is given by: f FILTER _ ZERO = 1 2 πR ESRCOUT Hz () where RESR is the equivalent series resistance out the output capacitor in ohms. A troublesome feature in the boost and buck-boost region is the right-half plane (RHP) zero, given by: f RHPZ = V IN 2 2 πI OUTLVOUT Hz () The loop gain is typically rolled off before the RHP zero frequency. A simple Type I compensation network can be incorporated to stabilize the loop at the cost of reduced bandwidth and slower transient response. To ensure proper phase margin using Type I compensation, the loop must be crossed over a decade before the LC double pole. Referring to Figure 4, the unity-gain frequency of the error amplifier with the Type I compensation is given by: f UG = 1 2 πR2C P1 Hz () – + ERROR AMP 0.6V R1 R2 FB VOUT VC 3113 F04 CP1 Figure 4. Error Amplifier with Type I Compensation – + ERROR AMP 0.6V R1 R2 RP FB VOUT VC 3113 F05 CP2 CZ1 RZ CP1 Figure 5. Error Amplifier with Type III Compensation Most applications demand an improved transient response to allow a smaller output capacitor. To achieve a higher bandwidth, Type III compensation is required, providing two zeros to compensate for the double-pole response of the output filter. Referring to Figure 5, the location of the poles and zeros are given by: f POLE1 = 1 2 π10 5R2C P1 Hz () f ZERO1 = 1 2 πR Z CP1 Hz () f ZERO2 = 1 2 πR2C Z1 Hz () f POLE2 = 1 2 πR Z CP2 Hz () f POLE3 = 1 2 πR P CZ1 Hz () where resistance is in Ohms and capacitance is in Farads. |
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