LED5000 3 A monolithic step-down current source with dimming capability Datasheet - production data Applications High brightness LED driving Street lighting Signage Halogen bulb replacement HSOP8 HPSO8 General lighting Features Description 5.5 V to 48 V operating input voltage range The LED5000 device is an 850 kHz fixed switching frequency monolithic step-down DC-DC converter designed to operate as a precise constant current source with an adjustable current capability up to 3 A DC. The embedded PWM dimming circuitry features LED brightness control. The regulated output current level is set by connecting a sensing resistor to the feedback pin. The 200 mV typical RSENSE voltage drop enhances performance in terms of efficiency. The size of the overall application is minimized thanks to the high switching frequency and its compatibility with ceramic output capacitors. The device is fully protected against overheating, overcurrent and output short-circuit. The LED5000 is available in an HSOP8 package. 850 kHz fixed switching frequency 200 mV typ. current sense voltage drop Buck / buck-boost / floating boost topologies PWM dimming ± 3% output current accuracy overtemperature 200 m typical RDSON Peak current mode architecture Short-circuit protection Compliant with ceramic output capacitors Inhibit for zero current consumption Thermal shutdown Figure 1. Typical application circuit LED5000 2 DIM 3 VIN L SW 8 DIM INH COMP CIN U1 BOOT CFLT 4 FB GND 6 5 2 7 VIN 1 COUT 1 RS GND AM13485v1 September 2014 This is information on a product in full production. DocID023951 Rev 4 1/55 www.st.com Contents LED5000 Contents 1 2 Pin settings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.1 Pin connection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 Pin description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Maximum ratings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.1 Maximum ratings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.2 Thermal data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3 ESD protection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 3 Electrical characteristics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 4 Functional description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 5 4.1 Power supply and voltage reference . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11 4.2 Voltage monitor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11 4.3 Soft-start . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11 4.4 Dimming block . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 4.5 Inhibit block . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 4.6 Error amplifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 4.7 Thermal shutdown . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Application notes - buck conversion . . . . . . . . . . . . . . . . . . . . . . . . . . 14 5.1 Closing the loop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 5.2 GCO(s) control to output transfer function . . . . . . . . . . . . . . . . . . . . . . . . 14 5.3 Error amplifier compensation network . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 5.4 LED small signal model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 5.5 Total loop gain . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 5.6 Compensation network design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 5.7 Example of system design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 20 5.8 Dimming operation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 Dimming frequency vs. dimming depth . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 2/55 DocID023951 Rev 4 LED5000 Contents 5.9 6 Component selection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 5.9.1 Sensing resistor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 5.9.2 Inductor and output capacitor selection . . . . . . . . . . . . . . . . . . . . . . . . . 25 5.9.3 Input capacitor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 5.10 Layout considerations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 5.11 Thermal considerations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 5.12 Short-circuit protection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 5.13 Application circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 Application notes - alternative topologies . . . . . . . . . . . . . . . . . . . . . . 37 6.1 Inverting buck-boost . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 6.2 Positive buck-boost . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 6.3 Floating boost . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 6.4 Compensation network design for alternative topologies . . . . . . . . . . . . . 48 6.4.1 fp < BW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 6.4.2 fp > BW . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 7 Package information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 8 Ordering information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 9 Revision history . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 DocID023951 Rev 4 3/55 55 List of tables LED5000 List of tables Table 1. Table 2. Table 3. Table 4. Table 5. Table 6. Table 7. Table 8. Table 9. Table 10. Table 11. Table 12. Table 13. 4/55 Pin description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 Absolute maximum ratings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Thermal data. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 ESD protection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 Electrical characteristics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 Uncompensated error amplifier characteristics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 Inductor selection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 List of ceramic capacitors for the LED5000 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 Component list . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 BB and boost parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49 HSOP8 package mechanical data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 Order code . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 Document revision history . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 DocID023951 Rev 4 LED5000 List of figures List of figures Figure 1. Figure 2. Figure 3. Figure 4. Figure 5. Figure 6. Figure 7. Figure 8. Figure 9. Figure 10. Figure 11. Figure 12. Figure 13. Figure 14. Figure 15. Figure 16. Figure 17. Figure 18. Figure 19. Figure 20. Figure 21. Figure 22. Figure 23. Figure 24. Figure 25. Figure 26. Figure 27. Figure 28. Figure 29. Figure 30. Figure 31. Figure 32. Figure 33. Figure 34. Figure 35. Typical application circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Pin connection (top view) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 LED5000 block diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 Internal circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 Soft-start open . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 Block diagram of the loop . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 Transconductance embedded error amplifier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 Equivalent series resistor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 Load equivalent circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 Module plot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 Phase plot . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 dimming operation example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 LED rising edge operation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 LED rising edge operation (zoom) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 dimming signal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24 Equivalent circuit. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 Layout example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 Switching losses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 constant current protection triggering hiccup mode . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 Evaluation board application circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 PCB layout (component side) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 PCB layout (bottom side) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 Inverting buck-boost . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 LED current source based on inverting BB topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 Inverting BB dimming operation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 Inverting BB PCB layout (component side) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 Inverting BB PCB layout (bottom side) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41 Positive buck-boost. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 LED current source based on positive BB+ topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 Floating boost . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 LED current source based on floating boost topology . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 Floating BB dimming operation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Floating boost PCB layout (component side) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 Floating boost PCB layout (bottom side) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 HSOP8 package outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 DocID023951 Rev 4 5/55 55 Pin settings LED5000 1 Pin settings 1.1 Pin connection Figure 2. Pin connection (top view) HSOP8 1.2 AM13486v1 Pin description Table 1. Pin description Type 6/55 Description 1 BOOT Analog circuitry power supply connection 2 DIM Dimming control input. Logic low prevents the switching activity, logic high enables it. A square wave on this pin implements LEDs current PWM dimming. Connect to VIN if not used (see Section 5.8 on page 22). 3 INH Inhibit pin. Connect to GND if not used. 4 COMP 5 FB 6 GND Ground connection 7 VIN Power input voltage 8 SW Switching node - e.p. Exposed pad to be connected to GND to increase the package thermal performance and the device noise immunity. Analog circuitry Feedback input. Connect a proper sensing resistor to set the LED current. DocID023951 Rev 4 LED5000 Maximum ratings 2 Maximum ratings 2.1 Maximum ratings Table 2. Absolute maximum ratings Symbol Value Unit VIN Power supply input voltage -0.3 to 52 V VINH Inhibit input -0.3 to 7 V VDIM Dimming input -0.3 to (VIN + 0.3) V VCOMP Comp output -0.3 to 3 V BOOT Bootstrap pin -0.3 to 55 V -1 to (VIN + 0.3) V -0.3 to 3 V Operating junction temperature range -40 to 150 °C TSTG Storage temperature range -65 to 150 °C TLEAD Lead temperature (soldering 10 sec.) 260 °C Value Unit 40 C/W SW Switching node VFB Feedback voltage TJ 2.2 Parameter Thermal data Table 3. Thermal data Symbol Rth JA(1) Parameter Thermal resistance junction ambient 1. Device soldered to the STEVAL-ILL056V1 demonstration board. 2.3 ESD protection Table 4. ESD protection Symbol ESD Test condition Value Unit HBM 4 KV MM 500 V DocID023951 Rev 4 7/55 55 Electrical characteristics 3 LED5000 Electrical characteristics All tests performed at TJ = 25 °C, VCC = 12 V, VINH = 0 V unless otherwise specified. The specification is guaranteed from -40 to +125 °C - TJ temperature range by design, characterization and statistical correlation. Table 5. Electrical characteristics Symbol VIN RDS(on) ISW Parameter Test condition Min. Operating input voltage range 5.5 MOSFET on resistance ISW = 1 A Maximum limiting current 3.7 tHICCUP Hiccup time fSW Typ. Max. Unit 48 V 0.2 0.4 4.5 5.2 A 16 Switching frequency 600 850 ms 1000 kHz Duty cycle (1) 90 % TON MIN Minimum conduction time of the power element (1) 90 ns TOFF MIN Minimum conduction time of the external diode (1) 75 90 120 ns 194 200 206 mV DC characteristics VFB Voltage feedback IFB FB biasing current Iq Quiescent current Iqst-by Standby quiescent current 50 nA VDIM > 1.5 V 1.3 2 mA VDIM > 1.5 V, VIN = 48 V 1.7 2.4 mA 16 34 A 0.5 V VINH > 1.5 V 12 Inhibit VINH IINH Inhibit levels Inhibit biasing current Device ON VIN = 5.5 V to 48 V Device OFF VIN = 5.5 V to 48 V 1.5 VINH = 5 V 0.7 Switching activity VIN = 5.5 V to 48 V 2.2 V 1.6 2.5 A Dimming VDIM 8/55 Dimming levels Switching activity prevented VIN = 5.5 V to 48 V DocID023951 Rev 4 V 0.5 V LED5000 Electrical characteristics Table 5. Electrical characteristics (continued) Symbol Parameter Test condition Min. Typ. Max. Unit Error amplifier VOH High level output voltage VFB = 0 V VOL Low level output voltage VFB = 400 mV Io source Source output current V 150 mV VCOMP = 1.5 V; VFB = 0 V 16 23 30 A 16 23 30 A Io sink Sink output current VCOMP = 1.5 V; VFB = 0.4 V Ib Source bias current VFB = 250 mV DC open loop gain RL = Transconductance ICOMP = TBD; VCOMP = TBD gm 3 (1) 50 nA 90 dB 220 S Thermal shutdown (1) TSHDWN Thermal shutdown temperature THYS 1. (1) Thermal shutdown hysteresis 140 150 15 160 C C Parameter guaranteed by design. DocID023951 Rev 4 9/55 55 Functional description 4 LED5000 Functional description The LED5000 is based on a “peak current mode” architecture with fixed frequency control. As a consequence the intersection between the error amplifier output and the sensed inductor current generates the control signal to drive the power switch. The main internal blocks shown in the block diagram in Figure 3 are: A fully integrated sawtooth oscillator with a typical frequency of 850 kHz A transconductance error amplifier A high side current sense amplifier to track the inductor current A pulse width modulator (PWM) comparator and the circuitry necessary to drive the internal power element The soft-start circuitry to decrease the inrush current at power-up The dimming block to implement PWM dimming The inhibit block for standby operation The current limitation circuit based on the pulse-by-pulse current and the HICCUP protection The bootstrap circuitry to drive the embedded NMOS switch A circuit to implement the thermal protection function Figure 3. LED5000 block diagram %227 9,1 2&3 5() 26& 2&3 5(*8/$725 %2275(* ,B6(16( 026)(7 &21752/ /2*,& &203 '5,9(5 JP 6: '5,9(5 273 ',00,1* ,1+ ',0 ,1+ 62)767$57 )% &203 *1' $0 10/55 DocID023951 Rev 4 LED5000 4.1 Functional description Power supply and voltage reference The internal regulator circuit consists of a startup circuit, an internal voltage pre-regulator, the bandgap voltage reference and the bias block that provides current to all the blocks. The starter supplies the startup current to the entire device when the input voltage goes high and the device is enabled (inhibit pin connected to ground). The pre-regulator block supplies the bandgap cell with a pre-regulated voltage that has a very low supply voltage noise sensitivity. 4.2 Voltage monitor An internal block continuously senses the Vcc, Vref and Vbg. If the monitored voltages are good, the regulator begins operating. There is also a hysteresis on the Vcc(UVLO). Figure 4. Internal circuit AM13488v1 4.3 Soft-start The startup phase is implemented ramping the reference of the embedded error amplifier in 1 msec typ. time. It minimizes the inrush current and decreases the stress of the power components at power up. DocID023951 Rev 4 11/55 55 Functional description LED5000 Figure 5. Soft-start open AM13489v1 During normal operation a new soft-start cycle takes place in case of: thermal shutdown event UVLO event The soft-start is disabled during the dimming operation to maximize the dimming performance. 4.4 Dimming block The DIM input features the LED brightness control with the PWM dimming operation (see Section 5.8 on page 22). 4.5 Inhibit block The inhibit block features the standby mode accordingly with Table 5: Electrical characteristics on page 8. The INH pin high level disables the device so the power consumption is reduced to less than 40 µA. The INH pin is 5 V tolerant. 12/55 DocID023951 Rev 4 LED5000 4.6 Functional description Error amplifier The voltage error amplifier is the core of the loop regulation. It is a transconductance operational amplifier whose non inverting input is connected to the internal voltage reference (200 mV), while the inverting input (FB) is connected to the output current sensing resistor. Table 6. Uncompensated error amplifier characteristics Description Values Transconductance 220 µS Low frequency gain 90 dB The error amplifier output is compared with the inductor current sense information to perform PWM control. 4.7 Thermal shutdown The shutdown block generates a signal that disables the power stage if the temperature of the chip goes higher than a fixed internal threshold (150 ± 10 °C typical). The sensing element of the chip is close to the PDMOS area, ensuring fast and accurate temperature detection. A 15 °C typical hysteresis prevents the device from turning ON and OFF continuously during the protection operation. DocID023951 Rev 4 13/55 55 Application notes - buck conversion LED5000 5 Application notes - buck conversion 5.1 Closing the loop Figure 6. Block diagram of the loop GCO(s) VIN PWM control Current sense HS switch L VOUT LC filter LS switch COUT error PWM + amplifier VCONTROL + comparator RC FB VREF RS compensation network CC α LED AO(s) AM13490v1 5.2 GCO(s) control to output transfer function The accurate control to output transfer function for a buck peak current mode converter can be written as: Equation 1 s 1 + ---- R LOAD 1 z G CO s = ------------------ ---------------------------------------------------------------------------------------- ---------------------- F H s R 0 T SW R CS s 1 + ----------------------- m C 1 – D – 0.5 1 + ----- p L where RLOAD represents the load resistance (see Section 5.4 on page 18), RCS the equivalent sensing resistor of the current sense circuitry equal to 0.38, p the single pole introduced by the LC filter and z the zero given by the ESR of the output capacitor. FH(s) accounts the sampling effect performed by the PWM comparator on the output of the error amplifier that introduces a double pole at one half of the switching frequency. 14/55 DocID023951 Rev 4 LED5000 Application notes - buck conversion Equation 2 1 Z = ------------------------------ESR C OUT where ESR is the equivalent series resistor to the output capacitor. Equation 3 m C 1 – D – 0.5 1 P = -------------------------------------- + --------------------------------------------R LOAD C OUT L C OUT f SW where: Equation 4 Se m C = 1 + -----Sn S = V f pp SW e V IN – V OUT S = ----------------------------- R CS n L Sn represents the slope of the sensed inductor current, Se the slope of the external ramp (VPP peak to peak amplitude equal to 1.2 V) that implements the slope compensation to avoid sub-harmonic oscillations at duty cycle over 50%. The sampling effect contribution FH(s) is: Equation 5 1 F H s = -----------------------------------------2 s s 1 + ------------------- + ------2 n QP n where: Equation 6 n = f SW and Equation 7 1 Q P = --------------------------------------------------------- m C 1 – D – 0.5 DocID023951 Rev 4 15/55 55 Application notes - buck conversion 5.3 LED5000 Error amplifier compensation network The external compensation network connected at the output of the error amplifier is dimensioned to stabilize the system depending on the application conditions. Figure 7. Transconductance embedded error amplifier + E/A COMP - FB RC CP CC V+ R0 dV C0 RC CP CC Gm dV AM13491v1 RC and CC introduce a pole and a zero in the open loop gain. CP does not significantly affect system stability but it can be useful to reduce the noise at the output of the error amplifier. The transfer function of the error amplifier and its compensation network is: Equation 8 A V0 1 + s R c C c A 0 s = ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------2 s R0 C0 + Cp Rc Cc + s R0 Cc + R0 C0 + Cp + Rc Cc + 1 Where AV0 = Gm · R0 (RO = output resistor of OTA = 200 * 10 ^ 6 ). The poles of this transfer function are (if Cc >> C0 + CP): Equation 9 1 f P LF = ---------------------------------2 R0 Cc 16/55 DocID023951 Rev 4 LED5000 Application notes - buck conversion Equation 10 1 f P HF = ---------------------------------------------------2 Rc C0 + Cp whereas the zero is defined as: Equation 11 1 F Z = --------------------------------2 Rc Cc DocID023951 Rev 4 17/55 55 Application notes - buck conversion 5.4 LED5000 LED small signal model Once the system reaches the working condition the LEDs composing the row are biased and their equivalent circuit can be considered as a resistor for frequencies << 1 MHz. The LED manufacturer typically provides the equivalent dynamic resistance of the LED biased at a different DC current. This parameter is required to study the behavior of the system in the small signal analysis. For instance, the equivalent dynamic resistance of Luxeon III Star from Lumiled measured with different biasing current levels is reported below: 1.3 0.9 r LED I LED = 350mA I LED = 700mA In case the LED datasheet does not provide the equivalent resistor value, it can be easily derived as the tangent to the diode I - V characteristic in the present working point (see Figure 8). Figure 8. Equivalent series resistor [A] 1 working point 0.1 1 2 3 4 [V] Figure 9 shows the equivalent circuit of the LED constant current generator. The equivalent loading resistor in the LEDs working point is: Equation 12 R LOAD = n LED r LED + R S where RS is the resistor put in series to the LED string. 18/55 DocID023951 Rev 4 AM13492v1 LED5000 Application notes - buck conversion Figure 9. Load equivalent circuit L Dled1 VIN D COUT Dled2 Rs L Rd1 VIN D1 COUT Rd2 Rs AM13493v1 As a consequence the LED equivalent circuit gives the LED(s) term correlating the output voltage with the high impedance FB input: Equation 13 R SENSE LED n LED = ---------------------------------------------------------n LED r LED + R SENSE 5.5 Total loop gain In summary, the open loop gain can be expressed as: Equation 14 G s = G CO s A 0 s LED n LED 5.6 Compensation network design The maximum bandwidth of the system can be designed up to fSW/6 to guarantee a valid small signal model. Equation 15 P f SW ----------- BW BW MAX = --------2 6 where P (Equation 3) is the pole introduced by the power components. The following calculations are valid in the hypothesis that BW > P which is the typical condition. DocID023951 Rev 4 19/55 55 Application notes - buck conversion LED5000 With the power components selected in accordance with Section 5.9: Component selection on page 25 and given the BW specification, the components composing the compensation network can be calculated as: Equation 16 RC R LOAD T SW 1 + --------------------------------- m C 1 – D – 0.5 BW R L CS = -------------------------------------------------------------------------------------------------- ------------------------Gm RS fP where the term mC is represented in Equation 4 on page 15, RLOAD the equivalent loading resistor (Equation 12), RS the resistor put in series to the LED string, Gm the error amplifier transconductance and RCS the equivalent sensing resistor of the current sense circuitry equal to 0.38 (Table 5: Electrical characteristics on page 8). Equation 17 K C C = ---------------------R C BW where K represents the leading position of the FZ (Equation 11) with respect to the system bandwidth. In general, a value of 2 gives enough phase margin to the overall small loop transfer function. 5.7 Example of system design Design specification: VIN = 48 V, VFW_LED = 3.7 V, nLED = 10, rLED = 1.1 , ILED = 1 A, ILED RIPPLE = 2%. The inductor and capacitor value are dimensioned to meet the ILED RIPPLE specification (see Section 5.9.2 on page 25 for output capacitor and inductor selection guidelines): L = 22 H, COUT = 1.0 F mlcc (negligible ESR). In accordance with Section 5.9.1 on page 25 the sensing resistor value is: Equation 18 200 mV R S = -------------------- = 200 m 1A Assuming a system bandwidth of: Equation 19 BW = 70 kHz BW MAX The ideal values of the components making up the compensation network are: Equation 20 R C = 43 k C C = 650 pF Final component selection is based on commercial values and a small capacitor CP is added to reduce noise at the error amplifier output. CP slightly decreases the BW and phase margin. 20/55 DocID023951 Rev 4 LED5000 Application notes - buck conversion Equation 21 R C = 47 k C C = 680 pF C C = 12 pF The gain and phase margin bode diagrams are plotted, respectively, in Figure 10 and Figure 11. Figure 10. Module plot External loop module 100 87 74 61 Module [dB] 48 35 22 9 4 17 30 0.1 1 10 3 1 .10 100 4 1 .10 5 1 .10 Frequency [Hz] 6 1 .10 AM13494v1 Figure 11. Phase plot External loop gain phase 180 157.5 135 112.5 90 67.5 45 22.5 0 0.1 1 10 100 3 1 .10 4 1 .10 5 1 .10 6 1 .10 AM13495v1 DocID023951 Rev 4 21/55 55 Application notes - buck conversion LED5000 The cut-off frequency and the phase margin are: Equation 22 f C = 65 kHz 5.8 pm = 66 Dimming operation The dimming input disables the switching activity, masking the PWM comparator output. The inductor current dynamic performance when dimming input goes high depends on the designed system response. The best dimming performance is obtained by maximizing the bandwidth and phase margin, when possible. As a general rule, the output capacitor minimization improves dimming performance. Figure 12. dimming operation example AM13496v1 In fact, when dimming enables the switching activity, a small capacitor value is fast charged with low inductor value. As a consequence, the LEDs current rising edge time is improved and the inductor current oscillation reduced. An oversized output capacitor value requires extra current for fast charge so generating an inductor current overshoot and oscillations. The switching activity is prevented as soon as the dimming signal goes low. Nevertheless, the LED current drops to zero only when the voltage stored in the output capacitor goes below a minimum voltage determined by the selected LEDs. As a consequence, a big capacitor value makes the LED current falling time worse than a smaller one. The LED5000 device embeds dedicated circuitry to improve LED current rising edge time. 22/55 DocID023951 Rev 4 LED5000 Application notes - buck conversion Figure 13. LED rising edge operation AM13497v1 Figure 14. LED rising edge operation (zoom) AM13498v1 DocID023951 Rev 4 23/55 55 Application notes - buck conversion LED5000 Dimming frequency vs. dimming depth As seen in Section 5.8 the LEDs current rising and falling edge time mainly depends on the system bandwidth (TRISE) and the selected output capacitor value (TRISE and TFALL). The dimming performance depends on the minimum current pulse shape specification of the final application. The ideal minimum current pulse has rectangular shape, in any case it degenerates into a trapezoid or, at worst, into a triangle, depending on the ratio (TRISE + TFALL)/ TDIM. Equation 23 rec tan gle T +T RISE FALL --------------------------------------------- « 1 T DIM trapezoid T +T RISE FALL --------------------------------------------- 1 T DIM triangle T +T RISE FALL --------------------------------------------- = 1 T DIM The small signal response in Figure 14 is considered as an example. Equation 24 T RISE 5s T FALL 2s Assuming the minimum current pulse (TMIN_PULSE) shape specification as: Equation 25 T RISE + T FALL = 0.75 T MIN_PULSE = 0.75 D MIN T DIMMING where TDIMMING represents the dimming period and DMIN the minimum duty cycle which gives the TMIN_PULSE charge. In the given example TMIN_PULSE = 9 µs. Figure 15. dimming signal AM13499v1 Given TMIN_PULSE it is possible to calculate the maximum dimming depth given the dimming frequency or vice versa. For example, assuming a 10 KHz dimming frequency the maximum dimming depth is 9% or given a 5% dimming depth it follows a 5.5 KHz maximum fDIM. The LED5000 dimming performance is strictly dependent on the system small signal response. As a consequence, an optimized compensation network (good phase margin and bandwidth maximized) and minimized COUT value are crucial for best performance. Once 24/55 DocID023951 Rev 4 LED5000 Application notes - buck conversion the external power components and the compensation network are selected, a direct measurement to determine TRISE, TFALL (see Equation 24) is necessary to certify the achieved dimming performance. 5.9 Component selection 5.9.1 Sensing resistor In closed loop operation the LED5000 feedback pin voltage is 200 mV, so the sensing resistor calculation is expressed as: Equation 26 200 mV R S = --------------------I LED Since the main loop (see Section 5.1 on page 14) regulates the sensing resistor voltage drop, the average current is regulated into the LEDs. The integration period is at minimum 5 * TSW since the system bandwidth can be dimensioned up to fSW/5 at maximum. A system loop based on a peak current mode architecture features consistent advantages in comparison with simpler closed loop regulation schemes like the hysteretic or the constant ON/OFF control. The system performs the output current regulation over a period which is at least five times longer than the switching frequency. The output current regulation neglects the ripple current contribution and its reliance on external parameters like input voltage and output voltage variations (line transient and LED forward voltage spread). This performance cannot be achieved with simpler regulation loops like hysteretic control. For the same reason, the switching frequency is constant over the application conditions, that helps to tune the EMI filtering and to guarantee the maximum LED current ripple specification in the application range. This performance cannot be achieved using constant ON/OFF time architectures. Inductor and output capacitor selection The output capacitor filters the inductor current ripple that, given the application condition, depends on the inductor value. As a consequence the LED current ripple, that is the main specification for a switching current source, depends on the inductor and output capacitor selection. Figure 16. Equivalent circuit DCR L DCR L Dled1 Rd1 ESR VIN 2 2 ESR Dledn D VIN D Rdn 1 1 5.9.2 COUT COUT Rs Rs AM13500v1 DocID023951 Rev 4 25/55 55 Application notes - buck conversion LED5000 The LED ripple current can be calculated as the inductor ripple current ratio flowing into the output impedance using the Laplace transform (see Figure 11 on page 21): Equation 27 8 -----2- I L 1 + s ESR C OUT I RIPPLE s = ----------------------------------------------------------------------------------------------------------1 + s R S + ESR + n LED R LED C OUT where the term 8/2 represents the main harmonic of the inductor current ripple (which has a triangular shape) and IL is the inductor current ripple. Equation 28 V OUT n LED V FW_LED + 200mV I L = -------------- T OFF = ------------------------------------------------------------------ T OFF L L so L value can be calculated as: Equation 29 n LED V FW_LED + 200mV n LED V FW_LED + 200mV n LED V FW_LED + 200mV L = ------------------------------------------------------------------ T OFF = ------------------------------------------------------------------ 1 – ------------------------------------------------------------------ I L I L V IN where TOFF is the OFF time of the embedded high switch, given by 1 - D. As a consequence the lower is the inductor value (so higher the current ripple), the higher would be the COUT value to meet the specification. A general rule to dimension L value is: Equation 30 I L ----------- 0.5 I LED Finally the required output capacitor value can be calculated equalizing the LED current ripple specification with the module of the Fourier transformer (see Equation 27) calculated at fSW frequency. Equation 31 I RIPPLE s=j = I RIPPLE_SPEC Example 1(see Section 5.6 on page 19): VIN = 48 V, ILED = 700 mA, ILED/ILED = 2%, VFW_LED = 3.7 V, nLED = 10. A lower inductor value maximizes the inductor current slew rate for better dimming performance. Equation 30 becomes: Equation 32 I L ----------- = 0.5 I LED which is satisfied selecting a 10 H inductor value. The output capacitor value has to be dimensioned according to Equation 31. 26/55 DocID023951 Rev 4 LED5000 Application notes - buck conversion Finally, given the selected inductor value, a 1 F ceramic capacitor value keeps the LED current ripple ratio lower than the 2% of the nominal current. An output ceramic capacitor type (negligible ESR) is suggested to minimize the ripple contribution given a fixed capacitor value. Table 7. Inductor selection Manufacturer Wurth Elektronik Coilcraft 5.9.3 Series Inductor value (µH) Saturation current (A) WE-HCI 7040 1 to 4.7 20 to 7 WE-HCI 7050 4.9 to 10 20 to 4.0 XPL 7030 2.2 to 10 29 to 7.2 Input capacitor The input capacitor must be able to support the maximum input operating voltage and the maximum RMS input current. Since step-down converters draw current from the input in pulses, the input current is squared and the height of each pulse is equal to the output current. The input capacitor has to absorb all this switching current, whose RMS value can be up to the load current divided by two (worst case, with duty cycle of 50%). For this reason, the quality of these capacitors has to be very high to minimize the power dissipation generated by the internal ESR, thereby improving system reliability and efficiency. The critical parameter is usually the RMS current rating, which must be higher than the RMS current flowing through the capacitor. The maximum RMS input current (flowing through the input capacitor) is: Equation 33 2 2 2D D I RMS = I O D – --------------- + ------2 Where is the expected system efficiency, D is the duty cycle and IO is the output DC current. Considering = 1 this function reaches its maximum value at D = 0.5 and the equivalent RMS current is equal to IO divided by 2. The maximum and minimum duty cycles are: Equation 34 V OUT + V F D MAX = ------------------------------------V INMIN – V SW and Equation 35 V OUT + V F D MIN = -------------------------------------V INMAX – V SW Where VF is the freewheeling diode forward voltage and VSW the voltage drop across the internal PDMOS. Considering the range DMIN to DMAX, it is possible to determine the max. IRMS going through the input capacitor. DocID023951 Rev 4 27/55 55 Application notes - buck conversion LED5000 Capacitors that can be considered are: Electrolytic capacitors: These are widely used due to their low price and their availability in a wide range of RMS current ratings. The only drawback is that, considering ripple current rating requirements, they are physically larger than other capacitors. Ceramic capacitors: If available for the required value and voltage rating, these capacitors usually have a higher RMS current rating for a given physical dimension (due to very low ESR). The drawback is the considerably high cost. Tantalum capacitors: Small tantalum capacitors with very low ESR are becoming more available. However, they can occasionally burn if subjected to very high current during charge. Therefore, it is suggested to avoid this type of capacitor for the input filter of the device as they could be stressed by a high surge current when connected to the power supply. Table 8. List of ceramic capacitors for the LED5000 Manufacturer Series Capacitor value (µF) Rated voltage (V) Taiyo Yuden UMK325BJ106MM-T 10 50 Murata GRM42-2 X7R 475K 50 4.7 50 In case the selected capacitor is ceramic (so neglecting the ESR contribution), the input voltage ripple can be calculated as: Equation 36 IO D D V IN PP = ----------------------- 1 – ---- D + ---- 1 – D C IN f SW 5.10 Layout considerations The layout of switching DC-DC converters is very important to minimize noise and interference. Power-generating portions of the layout are the main cause of noise and so high switching current loop areas should be kept as small as possible and lead lengths as short as possible. High impedance paths (in particular the feedback connections) are susceptible to interference, so they should be as far as possible from the high current paths. A layout example is provided in Figure 17. The input and output loops are minimized to avoid radiation and high frequency resonance problems. The feedback pin to the sensing resistor path must be designed as short as possible to avoid pick-up noise. Another important issue is the ground plane of the board. Since the package has an exposed pad, it is very important to connect it to an extended ground plane in order to reduce the thermal resistance junction to ambient and increase the noise immunity during the switching operation. 28/55 DocID023951 Rev 4 LED5000 Application notes - buck conversion In addition, to increase the design noise immunity, different signal and power grounds should be designed in the layout (see Section 5.13: Application circuit on page 34). The signal ground serves the small signal components, the device analog ground pin, the exposed pad and a small filtering capacitor connected to the VCC pin. The power ground serves the device ground pin and the input filter. The different grounds are connected underneath the output capacitor. Neglecting the current ripple contribution, the current flowing through this component is constant during the switching activity and so this is the cleanest ground point of the buck application circuit. Figure 17. Layout example AM13501v1 5.11 Thermal considerations The dissipated power of the device is tied to three different sources: Conduction losses due to the RDSON, which are equal to: Equation 37 2 P ON = R RDSON_HS I OUT D Where D is the duty cycle of the application. Note that the duty cycle is theoretically given by the ratio between VOUT (nLED VLED + 200 mV) and VIN, but in practice it is substantially higher than this value to compensate for the losses in the overall application. For this reason, the conduction losses related to the RDSON increase compared to an ideal case. DocID023951 Rev 4 29/55 55 Application notes - buck conversion LED5000 Switching losses due to turning ON and OFF. These are derived using Equation 38: Equation 38 T RISE + T FALL P SW = V IN I OUT ----------------------------------------- F SW = V IN I OUT T SW_EQ F SW 2 Where TRISE and TFALL represent the switching times of the power element that cause the switching losses when driving an inductive load (see Figure 18). TSW is the equivalent switching time. Figure 18. Switching losses AM13502v1 Quiescent current losses. Equation 39 P Q = V IN I Q Example 2 (see Section 5.6 on page 19): VIN = 42 V, VFW_LED = 3.7 V, nLED = 8, ILED = 1500 mA. The typical output voltage is: Equation 40 V OUT = n LED V FW_LED + V FB = 29.4V RDSON_HS has a typical value of 200 at 25 °C. For the calculation we can estimate RDSON_HS = 300 m as a consequence of TJ increase during the operation. TSW_EQ is approximately 12 ns. IQ has a typical value of 2.4 mA at VIN = 48 V. 30/55 DocID023951 Rev 4 LED5000 Application notes - buck conversion The overall internal losses are: Equation 41 2 P TOT = R DSON_HS I OUT D + V IN I OUT f SW T SW EQ + V IN I Q where TSW_EQ = (TRISE + TFALL )/2 = 12 nS. Equation 42 2 P TOT = 0.3 1.5 0.7 + 42 1.5 12 10 –9 3 850 10 + 42 2.4 10 –3 1.2W The junction temperature of the device will be: Equation 43 T J = T A + Rth J – A P TOT Where TA is the ambient temperature and RthJ-A is the thermal resistance junction to ambient. The junction to ambient (RthJ-A) thermal resistance of the device assembled in the HSOP8 package and mounted on the evaluation is about 40 °C/W. Assuming the ambient temperature around 40 °C, the estimated junction temperature is: C T J = 40 + 1.2W 40 ------- 110C W 5.12 Short-circuit protection In overcurrent protection mode, when the peak current reaches the current limit threshold, the device disables the power element and it is able to reduce the conduction time down to the minimum value (approximately 100 nsec typical) to keep the inductor current limited. This is the pulse-by-pulse current limitation to implement constant current protection feature. In overcurrent condition, the duty cycle is strongly reduced and, in most applications, this is enough to limit the switch current to the current threshold. The inductor current ripple during ON and OFF phases can be written as: ON phase Equation 44 V IN – V OUT – DCR L + R DSON HS I I L TON = ----------------------------------------------------------------------------------------------- T ON L OFF phase Equation 45 – V OUT + DCR L I + V FW DIODE I L TON = ------------------------------------------------------------------------------------- T OFF L where DCRL is the series resistance of the inductor and VFWDIODE is the forward voltage drop across the external rectifying diode. DocID023951 Rev 4 31/55 55 Application notes - buck conversion LED5000 The pulse-by-pulse current limitation is effective to implement constant current protection when: Equation 46 I L TON = I L TOFF From Equation 44 and Equation 45 we can gather that the implementation of the constant current protection becomes more critical the lower is the VOUT and the higher is VIN. In fact, in short-circuit condition the voltage applied to the inductor during the OFF time becomes equal to the voltage drop across parasitic components (typically the DCR of the inductor and the forward voltage of the diode) since VOUT is negligible, while during TON the voltage applied the inductor is maximized and it is approximately equal to VIN. In general the worst case scenario is a heavy short-circuit at the output with maximum input voltage. Equation 44 and Equation 45 in overcurrent conditions can be simplified to: Equation 47 V IN – DCR L + R DSON HS I V IN I L TON = ------------------------------------------------------------------------ T ON MIN --------- 90ns L L considering TON that has been already reduced to its minimum. Equation 48 – DCR L I + V FW DIODE – DCR L I + V FW DIODE I L TOFF = ---------------------------------------------------------------- T SW – 90ns ---------------------------------------------------------------- 1.18s L L where TSW = 1/fSW considering the nominal fSW. At high input voltage IL TON could be higher than IL TOFF and so the inductor current could escalate. As a consequence, the system typically meets Equation 46 at a current level higher than the nominal value thanks to the increased voltage drop across stray components. In most application conditions the pulse-by-pulse current limitation is effective to limit the inductor current. Whenever the current escalates, a second level current protection called “hiccup mode” is enabled. The hiccup protection offers an additional protection against heavy short-circuit condition at very high input voltage even considering the spread of the minimum conduction time of the power element. In case the hiccup current level (6.2 A typical) is triggered the switching activity is prevented for 16 msec typ. (see hiccup time in Table 5: Electrical characteristics on page 8). 32/55 DocID023951 Rev 4 LED5000 Application notes - buck conversion Figure 19 shows the operation of the constant current protection when a short-circuit is applied at the output at the maximum input voltage. Figure 19. constant current protection triggering hiccup mode AM13503v1 DocID023951 Rev 4 33/55 55 Application notes - buck conversion 5.13 LED5000 Application circuit Figure 20. Evaluation board application circuit &Q) /+ -3 ',0 73 & 10 '%=;& 9,1 ,1+ /(' ,1+ 73 *1' & & & ) ) Q) 9 9 9 -3 '%=;&9 5 10 9/(' ',0 9,1 73 (3 9/(' )% 73 &203 (3 5 & S) '6736/8 73 6: %227 56 5 & ) 9 & S) 6PDOO VLJQDO 73 73 *1' 3RZ HUSODQH *1' $0 The network D3, R4, RS implements an inexpensive overvoltage protection. R4 effect can be neglected during normal operation since the FB biasing current is negligible (tens of nA, see Table 5: Electrical characteristics on page 8) but it limits the current flowing in the Zener diode D3. In case the load is disconnected or in case of open LED: Equation 49 V OUT = V FB + V ZENER_DIODE V FB I ZENER_DIODE = --------------------RS + R1 R1 must be dimensioned to limit the D1 rated power so it is an inexpensive small signal Zener diode. The overvoltage limits the output voltage in case of LED disconnection so protecting LEDs when the string is reconnected with the device enabled. In case the OVP is not implemented, a large amount of non-controlled current could flow through the LEDs during the output capacitor discharging phase, thereby damaging the devices. 34/55 DocID023951 Rev 4 LED5000 Application notes - buck conversion Table 9. Component list Reference Part number Description Manufacturer C1, C2 C3225X7S1H106M 10 F 50 V (size 1210) TDK C3, C6 100 nF 50 V (size 0805) C4 470 pF 50 V (size 00603) C5 22 pF 50 V (size 0603) C7 C3216X7R1H105K 1 F 50 V (size 1206) C8 TDK Not mounted D1 STPS3L60U D2 BZX384-C4V7 D3 BZX384-C39 3 A 60 V ST Coilcraft Panasonic L1 XFL6060-473ME 47 H ISAT = 1.8 A (10% drop) IRMS = 3.7 A (40 C rise) (size 7.3 x 7.3 x 4.1 mm) RS ERJ14BSFR27U 0.271% (size 1206) R1 10 k 1% (size 0603) R2 Not mounted R3 24.9 k 1% (size 0603) R4 47 k 1% (size 0603) DocID023951 Rev 4 35/55 55 Application notes - buck conversion LED5000 Figure 21. PCB layout (component side) AM13505v1 Figure 22. PCB layout (bottom side) AM13506v1 36/55 DocID023951 Rev 4 LED5000 6 Application notes - alternative topologies Application notes - alternative topologies Thanks to the wide input voltage range, the adjustable external compensation network and enhanced dimming capability, the LED5000 device is suitable to implement boost and buckboost topologies. 6.1 Inverting buck-boost The buck-boost topology fits the application with an input voltage range that overlaps the output voltage, which is the voltage drop across the LEDs and the sensing resistor. The inverting buck-boost (see Figure 23) requires the same component count as the buck conversion and it is more efficient than the positive buck-boost. A current generator based on this topology implies two main application constraints: the output voltage is negative so the LEDs must be reversed the device GND floats with the negative output voltage. The device is supplied between VIN and VOUT (< 0). As a consequence: Equation 50 V IN_MAX LED5000 = V IN – V OUT so: Equation 51 V IN = V IN_MAX LED5000 + V OUT = 48 + V OUT where VOUT < 0. Figure 23. Inverting buck-boost VIN ISW VREF AM13507v1 Example 3 VIN RANGE = 12 - 24 V, VFW_LED = 3.7 V, nLED = 5 so VOUT = 18.7 V. DocID023951 Rev 4 37/55 55 Application notes - alternative topologies LED5000 Since the maximum operating voltage of the LED5000 is 48 V, according to Equation 51 the maximum input voltage of the application is 48 - 18.7 = 29.3 V. The output voltage is given by: Equation 52 D IDEAL V OUT = – V IN ---------------------------1 – D IDEAL where the ideal duty cycle DIDEAL for the buck-boost converter is: Equation 53 – V OUT D IDEAL = -----------------------------V IN – V OUT However, due to power losses (mainly switching and conduction losses), the real duty cycle is always higher than this. The real value (which can be measured in the application) should be used in the following formulas. The peak current flowing in the embedded switch is: Equation 54 I LOAD I RIPPLE I LOAD V IN D I SW = --------------------------- + -------------------- = --------------------------- + ----------- --------1 – D REAL 2 1 – D REAL 2 L f SW while its average current level is equal to: Equation 55 I LOAD I SW = --------------------------1 – D REAL This is due to the fact that the current flowing through the internal power switch is delivered to the output only during the OFF phase. The switch peak current must be lower than the minimum current limit of the overcurrent protection (see Table 5: Electrical characteristics on page 8 for details) while the average current must be lower than the rated DC current of the device. As a consequence, the maximum output current is: Equation 56 I LOAD MAX I SW MAX 1 – D REAL where ISW MAX represents the rated current of the device. The current capability is reduced by the term (1 - DREAL) and so, for example, with a duty cycle of 0.5, and considering an average current through the switch of 3 A, the maximum output current deliverable to the load is 1.5 A. 38/55 DocID023951 Rev 4 LED5000 Application notes - alternative topologies Figure 24 shows the schematic circuit for an LED current source based on inverting buckboost topology. The input voltage ranges from 10 to 26 V and it can drive a string composed of 5 LEDs with1 A DC. Figure 24. LED current source based on inverting BB topology C1 100 nF 1 1 VIN 3 TP1 2 2 3 DIM 8 DIM T1 jumper 7 TP3 SW BOOT VIN LED5000 INH Q1 BC807-16 GND 6 EP TP2 5 VLED- FB COMP EP 4 C9 NM R3 R4 C4 C5 NM 330 nF 50 V R5 C7 15 pF C6 2.2 nF D2 STPS3L60U R2 D1 BZX384-C20 C2 C3 10 µF 10 µF 50 V 50 V L1 22 µH XAL5050 RS1 Small signal TP4 GND C8 3.3 µF 50 V Power plane VLED+ TP5 AM03647V1 DocID023951 Rev 4 39/55 55 Application notes - alternative topologies LED5000 The circuitry Q1, R2, R3, R4 implements a level shifter to convert the dimming signal voltage levels (referred to GND) to the device rails, since the LED5000 local ground is referred to the negative output voltage (given by the voltage drop across the LEDs and the sensing resistor). Figure 25 shows the dimming operation: the light blue trace represents the DIM pin, the yellow the SW (high level is VIN, low level is -VOUT), the green trace the inductor current (see Equation 54) and the purple is the output voltage. Figure 25. Inverting BB dimming operation AM13509v1 The network D1, R1, RS implements an inexpensive overvoltage protection. R1 effect can be neglected during normal operation since the FB biasing current is negligible (tens of nA, see Table 5: Electrical characteristics on page 8) but it limits the current flowing in the Zener diode D1. In case the load is disconnected or in case of an open LED: Equation 57 V OUT = V FB + V ZENER_DIODE V FB I ZENER_DIODE = --------------------RS + R1 R1 must be dimensioned to limit the D1 rated power so it is an inexpensive small signal Zener diode. The overvoltage protection plays an important role for the inverting buck-boost topology. In fact, in case of open row, the output voltage tends to diverge thus exceeding the input voltage absolute maximum rate and the device would be damaged (see Equation 50). The overvoltage protection limits VOUT and thereby it protects the device in case of load disconnection. To design the compensation network for the inverting buck-boost topology please refer to paragraph Chapter 6.4: Compensation network design for alternative topologies on page 48. 40/55 DocID023951 Rev 4 LED5000 Application notes - alternative topologies Figure 26. Inverting BB PCB layout (component side) AM13510v1 Figure 27. Inverting BB PCB layout (bottom side) AM13511v1 6.2 Positive buck-boost Positive buck-boost fits those applications that require a buck-boost topology (i.e.: the input voltage range crosses the output voltage value) and where the inverting buck-boost is not suitable because of the main constraints for the final application (refer to Section 6.1). As a consequence the inverting buck-boost is the preferred option because it requires less components and it has higher efficiency compared to the positive buck-boost topology. DocID023951 Rev 4 41/55 55 Application notes - alternative topologies LED5000 Figure 28. Positive buck-boost VIN ISW VREF AM13512v1 The positive buck-boost implementation (Figure 28) requires one more diode and an external power switch than inverting buck-boost. The device is not floating, referred to GND, and it is supplied with the input voltage of the application (the input voltage in inverting buckboost topology is instead VIN - VOUT, refer to Section 6.1 for details). The LED5000 device does not see the output voltage during the switching activity so VOUT can be higher than the maximum input voltage. The equations for the positive buck-boost are similar to those seen for the inverting. Equation 58 D IDEAL V OUT = V IN ---------------------------1 – D IDEAL where the ideal duty cycle DIDEAL for the buck-boost converter is: Equation 59 V OUT D IDEAL = -----------------------------V IN + V OUT However, due to power losses (mainly switching and conduction losses), the real duty cycle is always higher than this. The real value (which can be measured in the application) should be used in the following formulas. The peak current flowing in the embedded switch is: Equation 60 I LOAD I RIPPLE I LOAD V IN D I SW = --------------------------- + -------------------- = --------------------------- + ----------- --------1 – D REAL 2 1 – D REAL 2 L f SW while its average current level is equal to: Equation 61 I LOAD I SW = --------------------------1 – D REAL This is due to the fact that the current flowing through the internal power switch is delivered to the output only during the OFF phase. 42/55 DocID023951 Rev 4 LED5000 Application notes - alternative topologies The switch peak current must be lower than the minimum current limit of the overcurrent protection (see Table 5: Electrical characteristics on page 8 for details) while the average current must be lower than the rated DC current of the device. As a consequence, the maximum output current is: Equation 62 I LOAD MAX I SW MAX 1 – D REAL where ISW MAX represents the rated current of the device. The current capability is reduced by the term (1 - DREAL) and so, for example, with a duty cycle of 0.5, and considering an average current through the switch of 3 A, the maximum output current deliverable to the load is 1.5 A. Figure 29 shows the circuit schematic for an LED current source based on positive buckboost topology. The input voltage ranges from 18 to 30 V and it can drive a string composed of 7 LEDs with 0.7 A DC (VFW_LED = 3.75 V so VOUT = 26.4 V). The network D5, R4, RS implements an inexpensive overvoltage protection. R4 effect can be neglected during the normal operation since the FB biasing current is negligible (tens of nA, see Table 5: Electrical characteristics on page 8) but it limits the current flowing in the Zener diode D5. In case the load is disconnected or in case of open LED: Equation 63 V OUT = V FB + V ZENER_DIODE V FB I ZENER_DIODE = --------------------RS + R4 R4 must be dimensioned to limit the D5 rated power so it is an inexpensive small signal Zener diode. Figure 29. LED current source based on positive BB+ topology &Q) /$ ;$/ + 9,1 ,1+ 73 ',0 9,1 /(' ,1+ *1' & & & ) ) Q) 9 9 9 5 10 -3 '%=;&9 '%=;& 73 5 46711)/ 73 9/(' )% & 10 9/(' &203 (3 (3 5 & S) '%=;& ',0 '6736/8 '%$6- 73 6: %227 '6736/8 -3 & Q) 73 5 10 5 10 5 10 56 & 10 & 10 & ) 9 6PDOO VLJQDO 73 *1' 3RZ HUSODQH 73 *1' $0 DocID023951 Rev 4 43/55 55 Application notes - alternative topologies LED5000 In case of open row, the positive output voltage tends to diverge, exceeding the D3 maximum reverse voltage and so the diode would be damaged. The overvoltage protection limits VOUT and it protects the power components in case of load disconnection. The network D4, R8 implements a level shifter to drive the gate of the transistor Q1. The voltage at Q1 is: Equation 64 V Q1 GATE = V SW – V DZ4 = V SW – 15V Considering the VIN range 18 to 30 V: Equation 65 V Q1 GATE MIN = V SW – V DZ4 = 18V – 15V = 3V V Q1 GATE MAX = V SW – V DZ4 = 30V – 16V = 15V The gate is driven inside the component specification. R8 can be dimensioned to discharge the gate when VSW is low. In case the input voltage range of the application is not suitable to implement a level shifter to drive Q1, a dissipative clamping network (like R5, D6) must be used. To design the compensation network for the positive buck-boost topology please refer to Section 6.4: Compensation network design for alternative topologies on page 48. 6.3 Floating boost The floating boost topology (see Figure 30) serves those applications with an input voltage range narrower than the output voltage, that is the voltage drop across the LEDs and the sensing resistor (i.e.: VIN < VOUT). The topology is called floating since the output voltage is referred to VIN and not GND, but this is typically suitable for a floating load like a string of LEDs. Figure 30. Floating boost VCC VREF VIN LX GND AM13514v1 44/55 DocID023951 Rev 4 LED5000 Application notes - alternative topologies The device is supplied by the output voltage so the maximum voltage drop across the LEDs string is 48 V. The direct path of the boost conversion (COUT, VDIODE, L) guarantees the proper startup when the input voltage is: Equation 66 V IN_START = V OP_MIN + V DIODE = 5.5V + V DIODE where VOP_MIN is the minimum operating voltage. The equations for the floating boost are: Equation 67 V IN V OUT = ---------------------------1 – D IDEAL The ideal duty cycle DIDEAL for the boost converter is: Equation 68 V OUT – V IN D IDEAL = ----------------------------V OUT As seen for the buck-boost topologies (Section 6.1 on page 37 and Section 6.2 on page 41), due to power losses the real duty cycle is always higher than the ideal. The real value (that can be measured in the application) should be used in the following formulas to estimate the switch current. The peak current flowing in the embedded switch is: Equation 69 I LOAD I RIPPLE I LOAD V IN D I SW = --------------------------- + -------------------- = --------------------------- + ----------- --------1 – D REAL 2 1 – D REAL 2 L f SW while its average current level is equal to: Equation 70 I LOAD I SW = --------------------------1 – D REAL This is due to the fact that the current flowing through the internal power switch is delivered to the output only during the OFF phase. The switch peak current must be lower than the minimum current limit of the overcurrent protection (see Table 5: Electrical characteristics on page 8 for details) while the average current must be lower than the rated DC current of the device. As a consequence, the maximum output current depends on the application conditions: Equation 71 I LOAD MAX I SW MAX 1 – D REAL where ISW MAX represents the rated current of the device. DocID023951 Rev 4 45/55 55 Application notes - alternative topologies LED5000 The current capability is reduced by the term (1-DREAL) and so, for example, with a duty cycle of 0.5, and considering an average current through the switch of 3 A, the maximum output current deliverable to the load is 1.5 A. Figure 31 shows the circuit schematic for an LED current source based on the floating boost topology. The input voltage ranges from 12 to 36 V and it can drive a string composed of 11 LEDs with 0.7 A DC (VFW_LED = 3.74 V so VOUT = 41 V). Figure 31. LED current source based on floating boost topology 73 9/(' 73 9,1 '%=;& & 10 9,1 7 MXPSHU 4%& 73 /(' %227 6: ',0 73 9/(' )% ',0 &203 ,1+ (3 (3 *1' 56 5 5 5 5 & Q) & Q) & ) & Q) & S) 73 *1' /$;$/+ '6736/8 $0 The network D1, R1, RS implements an inexpensive overvoltage protection. R1 effect can be neglected during the normal operation since the FB biasing current is negligible (tens of nA, see Table 5: Electrical characteristics on page 8) but it limits the current flowing in the Zener diode D1. In case the load is disconnected or in case of open LED: Equation 72 V OUT = V FB + V ZENER_DIODE V FB I ZENER_DIODE = --------------------RS + R1 R1 must be dimensioned to limit the D1 rated power so it is an inexpensive small signal Zener diode. The circuitry Q1, R3, R4, R5 implements a level shifter to convert the dimming signal voltage levels (referred to GND) to the device rails, since the LED5000 local ground is floating. The LED5000 local GND level is: Equation 73 V LGND = V IN – V OUT where VLGND represent the local GND value. 46/55 DocID023951 Rev 4 LED5000 Application notes - alternative topologies Figure 25 on page 40 shows the dimming operation: the light blue trace represents the DIM pin, the yellow the SW (high level is VIN, low level is VIN - VOUT), the green trace the inductor current (see Equation 69) and the purple is the output voltage. Figure 32. Floating BB dimming operation AM13516v1 To design the compensation network for the boost topology please refer to Section 6.4: Compensation network design for alternative topologies. Figure 33. Floating boost PCB layout (component side) AM13517v1 DocID023951 Rev 4 47/55 55 Application notes - alternative topologies LED5000 Figure 34. Floating boost PCB layout (bottom side) AM13518v1 6.4 Compensation network design for alternative topologies The small signal analysis for the alternative topologies can be written as: Equation 74 s s 1 – ------------------ 1 + ------ z Z_RHP R LOAD 1 – D G CO s = ------------------ ------------------ ------------------------------------------------------------- F H s R CS K Dx s 1 + ----- p that shares similar terms with Equation 1 on page 14 which is valid for the buck (see Equation 1). In addition KDX depends on the topology (different for boost and buck-boost) and Z_RHP (Equation 75) is a zero in the right half plane: Equation 75 2 R OUT 1 – D Z_RHP = ----------------------------------------L The RHP (right half plane) zero has the same 20 dB/dec rising gain magnitude as a conventional zero, but with 90 degree phase drop instead of lead. This characteristic cannot be compensated with the error amplifier network so the loop gain is designed to roll off at lower frequency in order to keep its contribution outside the small signal analysis. Z_RHP (see Equation 75) depends on the equivalent output resistance, inductor value and the duty cycle. As a consequence the minimum Z_RHP over the input voltage range determines the maximum system bandwidth: Equation 76 1 Z_RHP_MIN f SW BW BW MAX = ---- ------------------------------ « --------K 2 6 the system phase margin depends on K. This paragraph provides the equations to calculate the components of the compensation network once selected the power components and given the BW specification. 48/55 DocID023951 Rev 4 LED5000 Application notes - alternative topologies Table 10 summarizes the KD, Km, K parameters useful for the next calculations of the compensation network. The DC gain of the total small loop is: Equation 77 RS 1 A 0 = G m R EA 1 – D ----------- ------R CS K D where Gm is the error amplifier transconductance, REA the equivalent output resistance of the error amplifier, RCS the internal current sense gain (for these parameters refer to Table 5 on page 8), RS the sensing resistor value, and KD can be calculated from Table 10. The calculation of the components composing the compensation network depends on the relative position of the pole fp (see Equation 3 on page 15) and the designed bandwidth BW. Equation 78 p KD 1 f p = ----------- = ----------- ------------------------------2 2 C O R LOAD Table 10. BB and boost parameters Boost KD Km Buck-boost 2 R LOAD R LOAD 1 – D 1 K 1 + ---------------------- + ------------------------------------------------ --------- + ------------------ V OUT Km 1 – D R CS ----------------I LED 1 --------------------------------------------------------------------------------------------------------------------------------------T SW V OUT – V IN T SW 0.5 – D R CS ------------- + ---------------------------------- R CS ------------L V L OUT 2 R LOAD D R LOAD 1 – D 1 K 1 + --------------------------------- + ------------------------------------------------ --------- + ------------------ K V OUT R CS m 1 – D ----------------I LED 1 ----------------------------------------------------------------------------------------------------------------------------------------V T T OUT SW SW ------------ 0.5 – D R CS ------------- + ------------------------------------ R CS L L V +V IN OUT 0.5 R k 6.4.1 CS T SW ------------- D 1 – D L T SW 0.5 R CS ------------- D 1 – D L fp < BW In case the pole fp is inside the system bandwidth BW, the component values composing the compensation network can be calculated as: DocID023951 Rev 4 49/55 55 Application notes - alternative topologies LED5000 Equation 79 R EA BW R C = ---------- --------A0 fp and Equation 80 K C C = ------------------------------------2 R C BW Where K represents the leading position of the FZ (Equation 11 on page 17) in respect to the system bandwidth. In general a decade (K = 10) gives enough phase margin to the overall small loop transfer function. 6.4.2 fp > BW In case the pole fp is outside the system bandwidth BW, the component values composing the compensation network can be calculated as: Equation 81 R EA BW R C = ---------- --------A0 fp and Equation 82 K C C = -------------------------------2 RC fp where K represents the leading position of the FZ (Equation 11 on page 17) in respect to the pole fp. 50/55 DocID023951 Rev 4 LED5000 7 Package information Package information In order to meet environmental requirements, ST offers these devices in different grades of ECOPACK® packages, depending on their level of environmental compliance. ECOPACK specifications, grade definitions and product status are available at: www.st.com. ECOPACK is an ST trademark. Figure 35. HSOP8 package outline 7195016_D DocID023951 Rev 4 51/55 55 Package information LED5000 Table 11. HSOP8 package mechanical data Dimensions (mm) Symbol Min. Max. A 1.75 A1 0.15 A2 1.25 b 0.38 0.51 c 0.17 0.25 D 4.80 4.90 5.00 D1 3.10 3.30 3.50 E 5.80 6.00 6.20 E1 3.80 3.90 4.00 E2 2.20 2.40 2.60 e 52/55 Typ. 1.27 h 0.30 0.50 L 0.45 0.80 k 0° 8° DocID023951 Rev 4 LED5000 8 Ordering information Ordering information Table 12. Order code Order code Package Packing LED5000PHR HSOP8 Tube DocID023951 Rev 4 53/55 55 Revision history 9 LED5000 Revision history Table 13. Document revision history Date Revision 31-Jan-2013 1 Initial release. 27-Feb-2014 2 Updated package name in package photo on page 1 (replaced “HPSO8” by “HSOP8”). Updated Section : Features on page 1 (replaced “200 mW” by “200 mΩ” in “typical RDSON”). Updated Table 3 on page 7 (added note 1 below Table 3). Updated Figure 3 on page 10 (replaced by a new block diagram). Updated Table 6 on page 13 (changed “transconductance“ from 2200 µS to 220 µS). Updated Section 5.2 on page 14 [updated text below Equation 1 - added “equal to 0.38”. Added “where: ESR is the equivalent series resistor to the output capacitor.” below Equation 2 on page 15. Added “equal to 1.2 V” below Equation 4 on page 15 to “(VPP peak to peak amplitude)” ]. Updated Section 5.3 (updated text below Equation 8 on page 16 - replaced “Where Avo = Gm · Ro” by “Where AV0 = Gm · R0 (RO = output resistor of OTA = 200 * 10 ^ 6 )”. Updated Section 5.4 (updated Equation 12 on page 18 - replaced “RSENSE” by “RS”, added “where RS is the resistor put in series to the LED string” below Equation 12). Updated Section 5.6 (updated text below Equation 16 on page 20 - replaced text “RS the sensing resistor value” by “RS the resistor put in series to the LED string” and “RCS the current sense gain” by “RCS the equivalent sensing resistor of the current sense circuitry equal to 0.38”). Updated Section 5.7 on page 20 (replaced “rLED= 1.1 W” by “rLED= 1.1 “ in “Design specification”) . Updated Equation 29 on page 26 (added equations). Updated Equation 41 on page 31 (replaced “TSW“ by “TSW_EQ“, added text “where: TSW_EQ = (TRISE + TFALL )/2 = 12 nS” below Equation 41). Updated text below Equation 43 on page 31 (updated package name - replaced “HPSO8” by “HSOP8”, replaced “60” of “the estimated junction temperature” by “40”). Updated Figure 20 on page 34 (replaced by a new application circuit - replaced “R56” by “R27”). Updated Table 9 on page 35 [replaced “MSS7341”-473MLD” by “XFL6060-473ME”, “ISAT = 1.0 A (30% drop)” by “ISAT = 1.8 A (10% drop)” and “IRMS = 1.85 A (40 C rise)” by “IRMS = 3.7 A (40 C rise)”. of “L1“ component ]. Updated Figure 24 on page 39, Figure 29 on page 43 and Figure 31 on page 46 (replaced by new figures). Updated Section 7 on page 51 (updated titles, reversed order of Figure 35 and Table 11, minor modifications). Updated package name in Table 12 on page 53 (replaced “HPSO8” by “HSOP8”). Updated cross-references throughout document. Minor modifications throughout document. 28-Apr-2014 3 Updated Section 6.1: Inverting buck-boost on page 37 (replaced 10 LEDs by 5 LEDs in text above Figure 24 on page 39). 30-Sep-2014 4 Updated Figure 24 on page 39 (replaced by new figure). 54/55 Changes DocID023951 Rev 4 LED5000 IMPORTANT NOTICE – PLEASE READ CAREFULLY STMicroelectronics NV and its subsidiaries (“ST”) reserve the right to make changes, corrections, enhancements, modifications, and improvements to ST products and/or to this document at any time without notice. Purchasers should obtain the latest relevant information on ST products before placing orders. ST products are sold pursuant to ST’s terms and conditions of sale in place at the time of order acknowledgement. Purchasers are solely responsible for the choice, selection, and use of ST products and ST assumes no liability for application assistance or the design of Purchasers’ products. No license, express or implied, to any intellectual property right is granted by ST herein. Resale of ST products with provisions different from the information set forth herein shall void any warranty granted by ST for such product. ST and the ST logo are trademarks of ST. All other product or service names are the property of their respective owners. Information in this document supersedes and replaces information previously supplied in any prior versions of this document. © 2014 STMicroelectronics – All rights reserved DocID023951 Rev 4 55/55 55