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UCC28070QPWRQ1

UCC28070QPWRQ1

  • 厂商:

    BURR-BROWN(德州仪器)

  • 封装:

    TSSOP20

  • 描述:

    PFC IC Continuous Conduction (CCM) Adjustable 20-TSSOP

  • 数据手册
  • 价格&库存
UCC28070QPWRQ1 数据手册
UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com INTERLEAVING CONTINUOUS CONDUCTION MODE PFC CONTROLLER Check for Samples: UCC28070-Q1 FEATURES 1 • • • • • • • • • • • • • • • DESCRIPTION Qualified for Automotive Applications Interleaved Average Current-Mode PWM Control with Inherent Current Matching Advanced Current Synthesizer Current Sensing for Superior Efficiency Highly-Linear Multiplier Output with Internal Quantized Voltage Feed-Forward Correction for Near-Unity PF Programmable Frequency (30 kHz to 300 kHz) Programmable Maximum Duty-Cycle Clamp Programmable Frequency Dithering Rate and Magnitude for Enhanced EMI Reduction – Magnitude: 3 kHz to 30 kHz – Rate: Up to 30 kHz External Clock Synchronization Capability Enhanced Load and Line Transient Response through Voltage Amplifier Output Slew-Rate Correction Programmable Peak Current Limiting Bias-Supply UVLO, Over-Voltage Protection, Open-Loop Detection, and PFC-Enable Monitoring External PFC-Disable Interface Open-Circuit Protection on VSENSE and VINAC pins Programmable Soft Start 20-Lead TSSOP Package The UCC28070 is an advanced power factor correction device that integrates two pulse-width modulators (PWMs) operating 180° out of phase. This interleaved PWM operation generates substantial reduction in the input and output ripple currents, and the conducted-EMI filtering becomes easier and less expensive. A significantly improved multiplier design provides a shared current reference to two independent current amplifiers that ensures matched average current mode control in both PWM outputs while maintaining a stable, low-distortion sinusoidal input line current. The UCC28070 contains multiple innovations including current synthesis and quantized voltage feed-forward to promote performance enhancements in PF, efficiency, THD, and transient response. Features including frequency dithering, clock synchronization, and slew rate enhancement further expand the potential performance enhancements. The UCC28070 also contains a variety of protection features including output over-voltage detection, programmable peak-current limit, under-voltage lockout, and open-loop protection. Simplified Application Diagram VIN L1 D1 + VOUT COUT – 12V to 21V To CSB CCDR RRDM RA RB 1 CDR DMAX 20 2 RDM RT 19 3 VAO SS 18 4 VSENSE GDB 17 5 VINAC GND 16 RIMO 6 IMO RSYN 7 RSYNTH T1 RS RDMX RRT CSS M1 VCC 15 GDA 14 L2 8 CSB VREF 13 9 CSA CAOA 12 D2 To CSA 10 PKLMT CAOB 11 RS From Ixfrms CZV RPK1 CZC CPC CPV T2 RA CZC CREF CPC M2 RPK2 RZV RZC RZC RB 1 Please be aware that an important notice concerning availability, standard warranty, and use in critical applications of Texas Instruments semiconductor products and disclaimers thereto appears at the end of this data sheet. PRODUCTION DATA information is current as of publication date. Products conform to specifications per the terms of the Texas Instruments standard warranty. Production processing does not necessarily include testing of all parameters. Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com ORDERING INFORMATION TA –40°C to 125°C PACKAGE TSSOP – PW ORDERABLE PART NUMBER Reel of 2000 ABSOLUTE MAXIMUM RATINGS (1) UCC28070QPWRQ1 TOP-SIDE MARKING 28070Q (2) (3) (4) over operating free-air temperature range (unless otherwise noted) PARAMETER LIMIT UNIT Supply voltage: VCC 22 V Supply current: IVCC 20 mA Voltage: GDA, GDB −0.5 to VCC+0.3 V Gate drive current – continuous: GDA, GDB +/− 0.25 A Gate drive current – pulsed: GDA, GDB +/− 0.75 A −0.5 to +7 V −0.5 mA 10 mA Operating junction temperature, TJ −40 to +140 °C Storage temperature, TSTG −65 to +150 °C Voltage: DMAX, RDM, RT, CDR, VINAC, VSENSE, SS, VAO, IMO, CSA, CSB, CAOA, CAOB, PKLMT, VREF Current: RT, DMAX, RDM, RSYNTH Current: VREF, VAO, CAOA, CAOB, IMO Lead temperature (10 seconds) (1) (2) (3) (4) 260 These are stress limits. Stress beyond these limits may cause permanent damage to the device. Functional operation of the device at these or any conditions beyond those indicated under RECOMMENDED OPERATING CONDITIONS is not implied. Exposure to absolute maximum rated conditions for extended periods of time may affect device reliability. All voltages are with respect to GND. All currents are positive into the terminal, negative out of the terminal. In normal use, terminals GDA and GDB are connected to an external gate driver and are internally limited in output current. DISSIPATION RATINGS THERMAL IMPEDANCE JUNCTION-TOAMBIENT PACKAGE 20-Pin TSSOP (PW) (1) (2) 125°C/W (1) and (2) TA = 25°C POWER RATING 800 mW (1) TA = 85°C POWER RATING 320 mW TA = 125°C POWER RATING (1) 120 mW (1) Thermal resistance is a strong function of board construction and layout. Air flow reduces thermal resistance. This number is only a general guide. Thermal resistance calculated with a low-K methodology. RECOMMENDED OPERATING CONDITIONS over operating free-air temperature range (unless otherwise noted) PARAMETER VCC Input Voltage (from a low-impedance source) MIN MAX VUVLO + 1 V VREF Load Current UNIT 21 V 2 mA VINAC Input Voltage Range 0 3 IMO Voltage Range 0 3.3 PKLMT, CSA, CSB Voltage Range 0 3.6 RSYNTH Resistance (RSYN) 15 750 RDM Resistance (RRDM) 30 330 2 V kΩ Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com ELECTRICAL CHARACTERISTICS over operating free-air temperature range −40°C < TA < 125°C, VCC = 12 V, GND = 0 V, RRT = 75 kΩ, RDMX = 68.1 kΩ, RRDM = RSYN = 100 kΩ, CCDR = 2.2 nF, CSS = CVREF = 0.1 µF, CVCC = 1 µF, IVREF = 0 mA (unless otherwise noted) SYMBOL PARAMETER TEST CONDITIONS MIN TYP MAX 23 25 27 UNIT Bias Supply VCCSHUNT VCC shunt voltage (1) VCC current, disabled VSENSE = 0 V 7 VCC current, enabled VSENSE = 3 V (switching) 9 VCC current, UVLO VUVLO IVCC = 10 mA VCC = 9 V Measured at VCC (rising) UVLO hysteresis Measured at VCC (falling) VREF enable threshold Measured at VCC (rising) 9.8 mA 200 µA 4 6 mA 10.2 10.6 VCC = 7 V UVLO turn-on threshold 12 V 1 V 7.5 8 8.5 5.82 6 6.18 Linear Regulator VREF voltage, no load IVREF = 0 mA VREF load rejection Measured as the change in VREF, (IVREF = 0 mA and −2 mA) VREF line rejection Measured as the change in VREF, TA = 25°C (VCC = 11V and 20 V, IVREF = 0 TA = -40°C to 125°C µA) Enable threshold Measured at VSENSE (rising) -12 12 -12 12 -16 16 V mV PFC Enable VEN 0.65 Enable hysteresis 0.75 0.85 0.15 V External PFC Disable Disable threshold Measured at SS (falling) Hysteresis VSENSE > 0.85 V 0.5 0.6 Output phase shift Measured between GDA and GDB 179 180 181 ° Measured at DMAX, RT, & RDM 2.91 3 3.09 V 94 100 105 270 290 330 92% 95% 98% 50 150 250 1 3 4.3 23 30 36 V 0.15 Oscillator VDMAX,VRT , and Timing regulation voltages VRDM fPWM PWM switching frequency RRT = 75 kΩ, RDMX = 68.1 kΩ, VRDM = 0 V, VCDR = 6 V RRT = 24.9 kΩ, RDMX = 22.6 kΩ, VRDM = 0 V, VCDR = 6 V Duty-cycle clamp RRT = 75 kΩ, RDMX = 68.1 kΩ, VRDM = 0 V, VCDR = 6 V Minimum programmable off-time RRT = 24.9 kΩ, RDMX = 22.6 kΩ, VRDM = 0 V, VCDR = 6 V fDM Frequency dithering magnitude change in fPWM RRDM = 316 kΩ, RRT = 75 kΩ fDR Frequency dithering rate rate of CCDR = 2.2 nF, RRDM = 100 kΩ change in fPWM CCDR = 0.3 nF, RRDM = 100 kΩ DMAX ICDR (1) RRDM = 31.6 kΩ, RRT = 24.9 kΩ Dither rate current Measure at CDR (sink and source) Dither disable threshold Measured at CCDR (rising) kHz 3 ns kHz 20 ±10 5 µA 5.25 V Excessive VCC input voltage and/or current damages the device. This clamp will not protect the device from an unregulated supply. If an unregulated supply is used, a series-connected fixed positive voltage regulator such as a UA78L15A is recommended. See the Absolute Maximum Ratings section for the limits on VCC voltage and current. Copyright © 2010–2011, Texas Instruments Incorporated 3 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com ELECTRICAL CHARACTERISTICS (continued) over operating free-air temperature range −40°C < TA < 125°C, VCC = 12 V, GND = 0 V, RRT = 75 kΩ, RDMX = 68.1 kΩ, RRDM = RSYN = 100 kΩ, CCDR = 2.2 nF, CSS = CVREF = 0.1 µF, CVCC = 1 µF, IVREF = 0 mA (unless otherwise noted) SYMBOL PARAMETER TEST CONDITIONS MIN TYP MAX UNIT 5 5.25 V ns Clock Synchronization VCDR SYNC enable threshold Measured at CDR (rising) SYNC propagation delay VCDR = 6 V, Measured from RDM (rising) to GDx (rising) 50 100 SYNC threshold (Rising) VCDR = 6 V, Measured at RDM 1.2 1.5 SYNC threshold (Falling) VCDR = 6 V, Measured at RDM 0.4 Positive pulse width 0.2 SYNC pulses Maximum duty cycle (2) 0.7 V μs 50 % Voltage Amplifier gMV VSENSE voltage In regulation, TA = 25°C 2.94 3 3.06 VSENSE voltage In regulation 2.84 3 3.10 VSENSE input bias current In regulation 250 500 VAO high voltage VSENSE = 2.9 V 5 5.2 VAO low voltage VSENSE = 3.1 V 0.05 0.50 VAO transconductance 2.8 V < VSENSE < 3.2 V, VAO = 3 V 70 VAO sink current, overdriven limit VSENSE = 3.5 V, VAO = 3 V 30 4.8 ISRC nA V μs −30 VAO source current, overdriven VSENSE = 2.5 V, VAO = 3 V, SS = 3 V V μA VAO source current, overdriven limit + ISRC VSENSE = 2.5 V, VAO = 3 V Slew-rate correction threshold Measured as VSENSE (falling) / VSENSE (regulation) Slew-rate correction hysteresis Measured at VSENSE (rising) Slew-rate correction current Measured at VAO, in addition to VAO source current. Slew-rate correction enable threshold Measured at SS (rising) VAO discharge current VSENSE = 0.5 V, VAO = 1 V SS source current VSENSE = 0.9 V, SS = 1 V −10 Adaptive source current VSENSE = 2.0 V, SS = 1 V −1.5 -2.5 mA Adaptive SS disable Measured as VSENSE – SS -30 0 30 mV SS sink current VSENSE = 0.5 V, SS = 0.2 V 0.5 0.9 −130 92 93 95 % 3 9 mV −100 μA 4 V 10 μA Soft Start ISS (2) 4 μA mA Due to the influence of the synchronization pulse width on the programmability of the maximum PWM switching duty cycle (DMAX) it is recommended to minimize the synchronization signal's duty cycle. Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com ELECTRICAL CHARACTERISTICS (continued) over operating free-air temperature range −40°C < TA < 125°C, VCC = 12 V, GND = 0 V, RRT = 75 kΩ, RDMX = 68.1 kΩ, RRDM = RSYN = 100 kΩ, CCDR = 2.2 nF, CSS = CVREF = 0.1 µF, CVCC = 1 µF, IVREF = 0 mA (unless otherwise noted) SYMBOL PARAMETER TEST CONDITIONS MIN TYP MAX UNIT 104 106 108 % Over Voltage VOVP OVP threshold Measured as VSENSE (rising) / VSENSE (regulation) OVP hysteresis Measured at VSENSE (falling) 100 OVP propagation delay Measured between VSENSE (rising) and GDx (falling) 0.2 Zero-power detect threshold Measured at VAO (falling) mV 0.3 μs Zero-Power VZPWR 0.65 Zero-power hysteresis 0.75 V 0.15 Multiplier kMULT IIMO Gain constant Output current: zero VAO ≥ 1.5 V, TA = 25°C 15.4 17 20 VAO = 1.2 V, TA = 25°C 20.5 13.5 17.0 VAO ≥ 1.5 V 14 17 22 VAO = 1.2 V 12 17 22.5 VINAC = 0.9 VPK, VAO = 0.8 V -0.2 0 0.2 VINAC = 0 V, VAO = 5 V -0.2 0 0.2 0.6 0.7 0.8 μA Quantized Voltage Feed Forward (3) VLVL1 Level 1 threshold VLVL2 Level 2 threshold 1 VLVL3 Level 3 threshold 1.2 VLVL4 Level 4 threshold VLVL5 Level 5 threshold VLVL6 Level 6 threshold 1.95 VLVL7 Level 7 threshold 2.25 VLVL8 Level 8 threshold 2.6 1.4 Measured at VINAC (rising) V 1.65 Current Amplifiers CAOx high voltage 5.75 6 CAOx low voltage gMC 0.1 CAOx transconductance 50 CAOx source current, overdriven 0 3.6 RSYNTH = 6 V, TA = 25°C -16 -8 0 RSYNTH = 6 V -50 -8 40 -50 −8 40 0 12 Input offset voltage (3) μA −50 Input common mode range Input offset Voltage μs 100 CAOx sink current, overdriven V TA = 25°C Phase mismatch Measured as Phase A's input offset minus Phase B's input offset TA = -40°C to 125°C -12 CAOx pulldown current VSENSE = 0.5 V, CAOx = 0.2 V 0.5 -20 V mV mV 14 0.9 mA The Level 1 threshold represents the "zero-crossing detection" threshold above which VINAC must rise to initiate a new input half-cycle, and below which VINAC must fall to terminate that half-cycle. Copyright © 2010–2011, Texas Instruments Incorporated 5 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com ELECTRICAL CHARACTERISTICS (continued) over operating free-air temperature range −40°C < TA < 125°C, VCC = 12 V, GND = 0 V, RRT = 75 kΩ, RDMX = 68.1 kΩ, RRDM = RSYN = 100 kΩ, CCDR = 2.2 nF, CSS = CVREF = 0.1 µF, CVCC = 1 µF, IVREF = 0 mA (unless otherwise noted) SYMBOL PARAMETER TEST CONDITIONS MIN TYP MAX UNIT VSENSE = 3 V, VINAC = 0 V 2.91 3 3.09 VSENSE = 3 V, VINAC = 2.85 V 0.10 0.15 0.20 5 5.25 0.250 0.500 μA 3.3 3.33 V 60 100 ns 3.8 4.0 4.2 0.55 0.7 Current Synthesizer VRSYNTH Regulation voltage Synthesizer disable threshold Measured at RSYNTH (rising) VINAC input bias current V Peak Current Limit Peak current limit threshold PKLMT = 3.30 V, measured at CSx (rising) Peak current limit propagation delay 3.27 Measured between CSx (rising) and GDx (falling) edges PWM Ramp VRMP PWM ramp amplitude PWM ramp offset voltage TA = 25°C, RRT = 75 kΩ PWM ramp offset temperature coefficient −2 V mV/°C Gate Drive GDA, GDB output voltage, high, clamped VCC = 20 V, CLOAD = 1 nF GDA, GDB output voltage, High CLOAD = 1 nF 11.5 13 10 10.5 15 V GDA, GDB output voltage, Low CLOAD = 1 nF 0.2 0.3 Rise time GDx 1 V to 9 V, CLOAD = 1 nF 18 30 Fall time GDx 9 V to 1 V, CLOAD = 1 nF 12 25 GDA, GDB output voltage, UVLO VCC = 0 V, IGDA, IGDB = 2.5 mA 0.7 2 ns V Thermal Shutdown 6 Thermal shutdown threshold 160 Thermal shutdown recovery 140 °C Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com DEVICE INFORMATION PW PACKAGE (TOP VIEW) CDR RDM VAO VSENSE VINAC IMO RSYNTH CSB CSA PKLMT 1 2 3 4 5 6 7 8 9 10 20 19 18 17 16 15 14 13 12 11 DMAX RT SS GDB GND VCC GDA VREF CAOA CAOB TERMINAL FUNCTIONS NAME CDR PIN # 1 I/O DESCRIPTION I Dither Rate Capacitor. Frequency-dithering timing pin. An external capacitor to GND programs the rate of oscillator dither. Connect the CDR pin to the VREF pin to disable dithering. RDM (SYNC) 2 I Dither Magnitude Resistor. Frequency-dithering magnitude and external synchronization pin. An external resistor to GND programs the magnitude of oscillator frequency dither. When frequency dithering is disabled (CDR > 5 V), the internal master clock will synchronize to positive edges presented on the RDM pin. Connect RDM to GND when dithering is disabled and synchronization is not desired. VAO 3 O Voltage Amplifier Output. Output of transconductance voltage error amplifier. Internally connected to Multiplier input and Zero-Power comparator. Connect the voltage regulation loop compensation components between this pin and GND. VSENSE 4 I Output Voltage Sense. Internally connected to the inverting input of the transconductance voltage error amplifier in addition to the positive terminal of the Current Synthesis difference amplifier. Also connected to the OVP, PFC Enable, and slew-rate comparators. Connect to PFC output with a resistor-divider network. VINAC 5 I Scaled AC Line Input Voltage. Internally connected to the Multiplier and negative terminal of the Current Synthesis difference amplifier. Connect a resistor-divider network between VIN, VINAC, and GND identical to the PFC output divider network connected at VSENSE. IMO 6 O Multiplier Current Output. Connect a resistor between this pin and GND to set the multiplier gain. RSYNTH 7 I Current Synthesis Down-Slope Programming. Connect a resistor between this pin and GND to set the magnitude of the current synthesizer down-slope. Connecting RSYNTH to VREF will disable current synthesis and connect CSA and CSB directly to their respective current amplifiers. CSB 8 I Phase B Current Sense Input. During the on-time of GDB, CSB is internally connected to the inverting input of Phase B's current amplifier through the current synthesis stage. CSA 9 I Phase A Current Sense Input. During the on-time of GDA, CSA is internally connected to the inverting input of Phase A's current amplifier through the current synthesis stage. PKLMT 10 I Peak Current Limit Programming. Connect a resistor-divider network between VREF and this pin to set the voltage threshold of the cycle-by-cycle peak current limiting comparators. Allows adjustment for desired ΔILB. CAOB 11 O Phase B Current Amplifier Output. Output of phase B's transconductance current amplifier. Internally connected to the inverting input of phase B's PWM comparator for trailing-edge modulation. Connect the current regulation loop compensation components between this pin and GND. CAOA 12 O Phase A Current Amplifier Output. Output of phase A's transconductance current amplifier. Internally connected to the inverting input of phase A's PWM comparator for trailing-edge modulation. Connect the current regulation loop compensation components between this pin and GND. VREF 13 O 6-V Reference Voltage and Internal Bias Voltage. Connect a 0.1-μF ceramic bypass capacitor as close as possible to this pin and GND. GDA 14 O Phase A's Gate Drive. This limited-current output is intended to connect to a separate gate-drive device suitable for driving the Phase A switching component(s). The output voltage is typically clamped to 13.5 V. VCC 15 I Bias Voltage Input. Connect a 0.1-μF ceramic bypass capacitor as close as possible to this pin and GND. Copyright © 2010–2011, Texas Instruments Incorporated 7 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com TERMINAL FUNCTIONS (continued) NAME 8 PIN # I/O DESCRIPTION GND 16 I/O Device Ground Reference. Connect all compensation and programming resistor and capacitor networks to this pin. Connect this pin to the system through a separate trace for high-current noise isolation. GDB 17 O Phase B's Gate Drive. This limited-current output is intended to connect to a separate gate-drivedevice suitable for driving the Phase B switching component(s). The output voltage is typically clamped to 13.5 V. SS 18 I Soft-Start and External Fault Interface. Connect a capacitor to GND on this pin to set the soft-start slew rate based on an internally-fixed 10-μA current source. The regulation reference voltage for VSENSE is clamped to VSS until VSS exceeds 3 V. Upon recovery from certain fault conditions a 1-mA current source is present at the SS pin until the SS voltage equals the VSENSE voltage. Pulling the SS pin below 0.6 V immediately disables both GDA and GDB outputs. RT 19 I Timing Resistor. Oscillator frequency programming pin. A resistor to GND sets the running frequency of the internal oscillator. DMAX 20 I Maximum Duty-Cycle Resistor. Maximum PWM duty-cycle programming pin. A resistor to GND sets the PWM maximum duty-cycle based on the ratio of RDMX/RRT. Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com Functional Block Diagram + OVP VCC 15 25V VREF 13 6V Linear EN Regulator 160 On o 140 Off C + ReStart ThermSD 0.75V 0.60V + R Q UVLO 10.2V 9.2V + S Q VSENSE GND 16 Ext.Disable SS 8V 0.75V 0.60V VSENSE 3.18V 3.08V Fault ZeroPwr + 0.90V 0.75V + VAO 6 IMO 5 VINAC DMAX 20 Voltage FeedForward CLKA Oscillator w/ Freq. Dither RT 19 CLKB IIMO = VVINAC * (VVAO – 1) KVFF OffA * 17uA 250nA KVFF x OffB Mult. / 3 VAO x RDM/ 2 SYNC SYNC Logic CDR 1 SYNC Dither Enable Disable + ReStart 100uA 5V + SS 4V Slew Rate Correction + 10uA 2.8V 5V GmAmp VA + + 4 VSENSE 3V 250nA Adaptive SS PKLMT 10 IpeakA 1mA ReStart ISS 10uA + + Control Logic ReStart Ext.Disable IpeakB CSA 9 + + 18 SS PWM1 CA1 GmAmp + S Q OutA CSB 8 Current Synthesizer RSYNTH 7 5V CLKA R Q + VINAC VSENSE CAOA 12 VCC S Q + OffB IpeakB Fault CAOB 11 Copyright © 2010–2011, Texas Instruments Incorporated 14 GDA PWM2 CA2 GmAmp Driver GND Fault Disable + OffA IpeakA OutB VCC (Clamped at 13.5V) CLKB R Q (Clamped at 13.5V) Driver 17 GDB GND 9 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com TYPICAL CHARACTERISTICS SUPPLY CURRENT vs TEMPERATURE REFERENCE VOLTAGE vs TEMPERATURE 12 6.18 6.12 IVCC, VCC = 12 V, enabled VREF - Reference Voltage - V IVCC - Supply Current - mA 10 8 IVCC, VCC = 12 V, disabled 6 4 2 6.06 VREF (IVREF = 0 mA) 6.00 5.94 5.88 0 5.82 -60 -40 -20 0 20 40 60 80 100 120 140 -60 -10 TJ - Temperature - 0C 40 90 140 TJ - Temperature - 0C Figure 1. Figure 2. IVSENSE BIAS CURRENT vs TEMPERATURE VSENSE REGULATION vs TEMPERATURE 0.50 3.06 0.45 0.40 IVSENSE - Bias Current - mA VSENSE Regulation - V 3.04 3.02 3.00 2.98 0.35 0.30 0.25 0.20 0.15 0.10 2.96 0.05 2.94 0 -60 -40 -20 0 20 40 60 80 100 TJ - Temperature - 0C Figure 3. 10 120 140 -60 -10 40 TJ - Temperature - 90 140 0C Figure 4. Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com TYPICAL CHARACTERISTICS (continued) MULTIPLIER OUTPUT CURRENT vs VOLTAGE AMPLIFIER OUTPUT MULTIPIER CONSTANT vs TEMPERATURE 180 20 QVFF Level Level 1 19 Level 2 140 Level 3 120 Multiplier Constant - mA IMO - Multiplier Output Current - mA 160 Level 4 Level 5 100 Level 6 80 Level 7 Level 8 60 18 VAO = 3.0 V VAO = 5.0 V 17 16 VAO = 1.5 V 40 15 VAO = 1.2 V 20 14 0 0 1 3 2 4 5 -60 -40 6 -20 0 VAO - Voltage Amplifier Output - V Figure 5. 40 60 80 100 120 140 Figure 6. IVINAC BIAS CURRENT vs TEMPERATURE SWITCHING FREQUENCY (normalized change) vs TEMPERATURE 1.0 Normalized Change in Switching Frequency - % 0.50 0.45 0.40 IVINAC - Bias Current - mA 20 TJ - Temperature - 0C VINAC = 2.85 V VINAC = 2.5 V 0.35 0.30 0.25 0.20 VINAC = 1.0 V 0.15 VINAC = 0.2 V Typical Frequency= 30 kHz RT = 249 k? 0.8 0.5 Typical Frequency= 100 kHz RT = 75 k? 0.3 0 -0.3 Typical Frequency= 290 kHz RT = 24.9 k? -0.5 -0.8 VINAC = 2.0 V 0.10 -1.0 -60 0.05 -40 -20 0 20 40 60 80 100 120 140 TJ - Temperature - 0C 0.00 -60 -10 40 90 140 TJ - Temperature - 0C Figure 7. Copyright © 2010–2011, Texas Instruments Incorporated Figure 8. 11 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com TYPICAL CHARACTERISTICS (continued) VOLTAGE AMPLIFIER TRANSFER FUNCTION vs VSENSE VOLTAGE AMPLIFIER TRANSCONDUCTANCE vs TEMPERATURE 40 IVAO - Voltage Amplifier Output Current - mA VAO - Voltage Amplifier Transconductance - mS 80 75 70 65 60 55 50 20 0 -20 -40 -60 -80 -100 -120 -140 -60 -40 -20 0 20 60 40 80 100 120 140 2.6 2.5 2.7 2.8 2.9 TJ - Temperature - 0C 3.0 3.1 3.2 3.3 3.4 3.5 VSENSE - V Figure 9. Figure 10. CURRENT AMPLIFIER TRANSCONDUCTANCE vs TEMPERATURE 110 CAOx Transconductance - mS 105 100 95 90 85 80 -60 -40 -20 0 20 40 60 80 100 120 140 TJ - Temperature - 0C Figure 11. 12 Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com TYPICAL CHARACTERISTICS (continued) CAx INPUT OFFSET VOLTAGE vs TEMPERATURE (at 0.8 V common mode) CA1 TO CA2 RELATIVE OFFSET vs TEMPERATURE (at 0.8 V common mode) 5 CAx +3s 0 CAx Input Offset - mV CA1 to CA2 Relative Offset Voltage - mV 15 -5 CAx AVG -10 CAx -3s -15 -20 10 A-B +3s 5 0 A-B AVG -5 A-B -3s -10 -15 -60 -40 -20 0 20 40 60 80 100 120 140 -60 -40 -20 TJ - Temperature - 0C 20 40 60 80 100 120 140 TJ - Temperature - 0C Figure 12. Figure 13. CAx INPUT OFFSET VOLTAGE vs TEMPERATURE (at 2.0 V common mode) CA1 TO CA2 RELATIVE OFFSET vs TEMPERATURE (at 2.0 V common mode) 5 CA1 to CA2 Relative Offset Voltage - mV 15 0 CAx Input Offset - mV 0 CAx +3s -5 CAx AVG -10 -15 CAx -3s -20 10 A-B +3s 5 0 A-B AVG -5 -10 A-B -3s -15 -60 -40 -20 0 20 40 60 TJ - Temperature - 80 100 0C Figure 14. Copyright © 2010–2011, Texas Instruments Incorporated 120 140 -60 -40 -20 0 20 40 60 TJ - Temperature - 80 100 120 140 0C Figure 15. 13 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com TYPICAL CHARACTERISTICS (continued) CAx INPUT OFFSET VOLTAGE vs TEMPERATURE (at 3.6 V common mode) CA1 TO CA2 RELATIVE OFFSET vs TEMPERATURE (at 3.6 V common mode) 5 CA1 to CA2 Relative Offset Voltage - mV 15 CAx Input Offset - mV 0 CAx +3s -5 CAx AVG -10 CAx -3s -15 -20 A-B +3s 5 0 -5 A-B AVG A-B -3s -10 -15 -60 -40 -20 0 20 40 60 80 100 TJ - Temperature - 0C Figure 16. 14 10 120 140 -60 -40 -20 0 20 40 60 80 100 120 140 TJ - Temperature - 0C Figure 17. Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com APPLICATION INFORMATION THEORY OF OPERATION Interleaving One of the main benefits from the 180° interleaving of phases is significant reductions in the high-frequency ripple components of both the input current and the current into the output capacitor of the PFC pre-regulator. Compared to that of a single-phase PFC stage of equal power, the reduced ripple on the input current eases the burden of filtering conducted-EMI noise and helps reduce the EMI filter and CIN sizes. Additionally, reduced high-frequency ripple current into the PFC output capacitor, COUT, helps to reduce its size and cost. Furthermore, with reduced ripple and average current in each phase, the boost inductor size can be smaller than in a single-phase design [1]. Ripple current reduction due to interleaving is often referred to as "ripple cancellation", but strictly speaking, the peak-to-peak ripple is completely cancelled only at 50% duty-cycle in a 2-phase system. At duty-cycles other than 50%, ripple reduction occurs in the form of partial cancellation due to the superposition of the individual phase currents. Nevertheless, compared to the ripple currents of an equivalent single-phase PFC pre-regulator, those of a 2-phase interleaved design are extraordinarily smaller [1]. Independent of ripple cancellation, the frequency of the interleaved ripple, at both the input and output, is 2 x fPWM. On the input, 180° interleaving reduces the peak-to-peak ripple amplitude to 1/2 or less of the ripple amplitude of the equivalent single-phase current. On the output, 180° interleaving reduces the rms value of the PFC-generated ripple current in the output capacitor by a factor of slightly more than √2, for PWM duty-cycles > 50%. This can be seen in the following derivations, adapting the method by Erickson [2]. In a single-phase PFC pre-regulator, the total rms capacitor current contributed by the PFC stage at all duty-cycles can be shown to be approximated by: æ I ö æ æ 16VO iCRMS 1j = ç O ÷ ç ç è h ø èç è 3p VM ö ö 2 ÷ - 1h ÷÷ ø ø (1) In a dual-phase interleaved PFC pre-regulator, the total rms capacitor current contributed by the PFC stage for D > 50% can be shown to be approximated by: æ I ö æ æ 16VO iCRMS 2j = ç O ÷ ç ç è h ø çè è 6p VM ö ö 2 ÷ - 1h ÷÷ ø ø (2) In these equations, IO = average PFC output load current, VO = average PFC output voltage, VM = peak of the input ac-line voltage, and η = efficiency of the PFC stage at these conditions. It can be seen that the quantity under the radical for iCrms2φ is slightly smaller than 1/2 of that under the radical for iCrms1φ. The rms currents shown contain both the low-frequency and the high-frequency components of the PFC output current. Interleaving reduces the high-frequency component, but not the low-frequency component. Copyright © 2010–2011, Texas Instruments Incorporated 15 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com Programming the PWM Frequency and Maximum Duty-Cycle Clamp The PWM frequency and maximum duty-cycle clamps for both GDx outputs of the UCC28070 are set through the selection of the resistors connected to the RT and DMAX pins, respectively. The selection of the RT resistor (RRT) directly sets the PWM frequency (fPWM). RRT (k W ) = 7500 f PWM (kHz ) (3) Once RRT has been determined, the DMAX resistor (RDMX) may be derived. RDMX = RRT ´ (2 ´ DMAX - 1) (4) where DMAX is the desired maximum PWM duty-cycle. Frequency Dithering (Magnitude and Rate) Frequency dithering refers to modulating the switching frequency to achieve a reduction in conducted-EMI noise beyond the capability of the line filter alone. The UCC28070 implements a triangular modulation method which results in equal time spent at every point along the switching frequency range. This total range from minimum to maximum frequency is defined as the dither magnitude, and is centered around the nominal switching frequency fPWM set with RRT. For example, a dither magnitude of 20 kHz on a nominal fPWM of 100 kHz results in a frequency range of 100 kHz ±10 kHz. Furthermore, the programmed duty-cycle clamp set by RDMX remains constant at the programmed value across the entire range of the frequency dithering. The rate at which fPWM traverses from one extreme to the other and back again is defined as the dither rate. For example, a dither rate of 1 kHz would linearly modulate the nominal frequency from 110 kHz to 90 kHz to 110 kHz once every millisecond. A good initial design target for dither magnitude is ±10% of fPWM. Most boost components can tolerate such a spread in fPWM. The designer can then iterate around there to find the best compromise between EMI reduction, component tolerances, and loop stability. The desired dither magnitude is set by a resistor from the RDM pin to GND, of value calculated by the following equation: RRDM (k W ) = 937.5 f DM (kHz ) (5) Once the value of RRDM is determined, the desired dither rate may be set by a capacitor from the CDR pin to GND, of value calculated by the following equation: æ R ( kW ) ö CCDR ( pF ) = 66.7 ´ ç RDM ÷ è f DR ( kHz ) ø (6) Frequency dithering may be fully disabled by forcing the CDR pin > 5 V or by connecting it to VREF (6 V) and connecting the RDM pin directly to GND. (If populated, the relatively high impedance of the RDM resistor may allow system switching noise to couple in and interfere with the controller timing functions if not bypassed with a low impedance path when dithering is disabled.) If an external frequency source is used to synchronize fPWM and frequency dithering is desired, the external frequency source must provide the dither magnitude and rate functions as the internal dither circuitry is disabled to prevent undesired performance during synchronization. (See following section for more details.) 16 Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com External Clock Synchronization The UCC28070 has also been designed to be easily synchronized to almost any external frequency source. By disabling frequency dithering (pulling CDR > 5 V), the UCC28070's SYNC circuitry is enabled permitting the internal oscillator to be synchronized with pulses presented on the RDM pin. In order to ensure a precise 180 degree phase shift is maintained between the GDA and GDB outputs, the frequency (fSYNC) of the pulses presented at the RDM pin needs to be at twice the desired fPWM. For example, if a 100-kHz switching frequency is desired, the fSYNC should be 200 kHz. f PWM = f SYNC 2 (7) In order to ensure the internal oscillator does not interfere with the SYNC function, RRT should be sized to set the internal oscillator frequency at least 10% below the fSYNC. RRT (k W ) = 15000 ´ 1 .1 f SYNC (kHz ) (8) It must be noted that the PWM modulator gain will be reduced by a factor equivalent to the scaled RRT due to a direct correlation between the PWM ramp current and RRT. Adjustments to the current loop gains should be made accordingly. It must also be noted that the maximum duty cycle clamp programmability is affected during external synchronization. The internal timing circuitry responsible for setting the maximum duty cycle is initiated on the falling edge of the synchronization pulse. Therefore, the selection of RDMX becomes dependent on the synchronization pulse width (tSYNC). DSYNC = tSYNC ´ f SYNC (9) For use in RDMX equation immediately below. æ 15000 ö RDMX (k W ) = ç ÷ ´ (2 ´ DMAX - 1 - DSYNC ) è f SYNC ( kHz ) ø (10) Consequently to minimize the impact of the tSYNC it is clearly advantageous to utilize the smallest synchronization pulse width feasible. NOTE When external synchronization is used, a propagation delay of approximately 50 ns to 100 ns exists between internal timing circuits and the SYNC signal's falling edge, which may result in reduced off-time at the highest of switching frequencies. Therefore, RDMX should be adjusted downward slightly by (TSYNC-0.1 μs)/TSYNC to compensate. At lower SYNC frequencies, this delay becomes an insignificant fraction of the PWM period, and can be neglected. Copyright © 2010–2011, Texas Instruments Incorporated 17 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com Multi-phase Operation External synchronization also facilitates using more than 2 phases for interleaving. Multiple UCC28070s can easily be paralleled to add an even number of additional phases for higher-power applications. With appropriate phase-shifting of the synchronization signals, even more input and output ripple current cancellation can be obtained. (An odd number of phases can be accommodated if desired, but the ripple cancellation would not be optimal.) For 4-, 6-, or any 2 x n-phases (where n = the number of UCC28070 controllers), each controller should receive a SYNC signal which is 360/n degrees out of phase with each other. For a 4-phase application interleaving with two controllers, SYNC1 should be 180° out of phase with SYNC2 for optimal ripple cancellation. Similarly for a 6-phase system, SYNC1, SYNC2, and SYNC3 should be 120° out of phase with each other for optimal ripple cancellation. In a multi-phase interleaved system, each current loop is independent and treated separately, however there is only one common voltage loop. To maintain a single control loop, all VSENSE, VINAC, SS, IMO and VAO signals are paralleled, respectively between the n controllers. Where current-source outputs are combined (SS, IMO, VAO), the calculated load impedances must be adjusted by 1/n to maintain the same performance as with a single controller. Figure 18 illustrates the paralleling of two controllers for a 4-phase 90°-interleaved PFC system. VSENSE and VINAC Resistor Configuration The primary purpose of the VSENSE input is to provide the voltage feedback from the output to the voltage control loop. Thus, a traditional resistor-divider network needs to be sized and connected between the output capacitor and the VSENSE pin to set the desired output voltage based on the 3-V regulation voltage on VSENSE. A unique aspect of the UCC28070 is the need to place the same resistor-divider network on the VIN side of the inductor to the VINAC pin. This provides the scaled input voltage monitoring needed for the linear multiplier and current synthesizer circuitry. It is not required that the actual resistance of the VINAC network be identical to the VSENSE network, but it is necessary that the attenuation (kR) of the two divider networks be equivalent for proper PFC operation. kR = RB (RA + RB ) (11) In noisy environments, it may be beneficial for small filter capacitors to be applied to the VSENSE and VINAC inputs to avoid the destabilizing effects of excessive noise on these inputs. If applied, the RC time-constant should not exceed 100μs on the VSENSE input to avoid significant delay in the output transient response. The RC time-constant should also not exceed 100 μs on the VINAC input to avoid degrading of the wave-shape zero-crossings. Usually, a time constant of 3/fPWM is adequate to filter out typical noise on VSENSE and VINAC. Some design and test iteration may be required to find the optimal amount of filtering required in a particular application. VSENSE and VINAC Open Circuit Protection Both the VSENSE and VINAC pins have been designed with an internal 250-nA current sink to ensure that in the event of an open circuit at either pin, the voltage is not left undefined, and the UCC28070 remains in a "safe" operating mode. 18 Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com V IN – L1 D1 + To CSB1 VREF1 RDMX1 1 CDR DMAX 20 2 RDM RT 19 3 VAO SS 18 T1 RS1 RRT1 RA 4 VSENSE GDB 17 5 VINAC GND 16 6 IMO VCC 15 7 RSYNTH GDA 14 M1 12V to 21V RB CSB1 8 CSB VREF 13 9 CSA CAOA 12 L2 VREF1 D2 From Ixfrms CSA1 To CSA1 10 PKLMT CAOB 11 T2 RSYN1 RS 2 M2 CZV CZC RPK1 CREF RIMO CPV CPC RPK2 CZC CPC CSS RZV RZC RZC VOUT RZC RZC RA COUT CPC CZC CPC CZC RB CREF Vin L3 D3 RSYN2 To CSA2 10 PKLMT T3 RS 3 CAOB 11 CSB2 9 CSA CAOA 12 8 CSB VREF 13 From Ixfrms VREF2 CSA2 M3 7 RSYNTH GDA 14 6 IMO VCC 15 5 VINAC GND 16 4 VSENSE GDB 17 3 VAO SS 18 2 RDM RT 19 1 CDR DMAX 20 12V to 21V L4 D4 RRT2 To CSB2 RDMX2 Synchronized Clocks w/ 180 o Phase Shift RS 4 T4 M4 Figure 18. Simplified Four-Phase Application Diagram Using Two UCC28070 Copyright © 2010–2011, Texas Instruments Incorporated 19 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com Current Synthesizer One of the most prominent innovations in the UCC28070 design is the current synthesizer circuitry that synchronously monitors the instantaneous inductor current through a combination of on-time sampling and off-time down-slope emulation. During the on-time of the GDA and GDB outputs, the inductor current is recorded at the CSA and CSB pins respectively via the current transformer network in each output phase. Meanwhile, the continuous monitoring of the input and output voltage via the VINAC and VSENSE pins permits the UCC28070 to internally recreate the inductor current's down-slope during each output's respective off-time. Through the selection of the RSYNTH resistor (RSYN), based on the equation below, the internal response may be adjusted to accommodate the wide range of inductances expected across the wide array of applications. During inrush surge events at power-up and ac drop-out recovery, VSENSE < VINAC, so the synthesized down slope becomes zero. In this case, the synthesized inductor current will remain above the IMO reference and the current loop drives the duty cycle to zero. This avoids excessive stress on the MOSFETS during the surge event. Once VINAC falls below VSENSE the duty cycle increases until steady-state operation resumes. Waveform at CSx input Synthesized down-slope Current Synthesizer output to CA Figure 19. Inductor Current's Down Slope RSYN (k W ) = (10 ´ N CT ´ LB (m H )´ k R ) RS (W ) (12) Variables • LB = Nominal Zero-Bias Boost Inductance (μH), • RS = Sense Resistor (Ω), • NCT = Current-sense Transformer turns ratio, • kR = RB/(RA+RB) = the resistor-divider attenuation at the VSENSE and VINAC pins. 20 Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com Programmable Peak Current Limit The UCC28070 has been designed with a programmable cycle-by-cycle peak current limit dedicated to disabling either GDA or GDB output whenever the corresponding current-sense input (CSA or CSB respectively) rises above the voltage established on the PKLMT pin. Once an output has been disabled via the detection of peak current limit, the output remains disabled until the next clock cycle initiates a new PWM period. The programming range of the PKLMT voltage extends to upwards of 4 V to permit the full utilization of the 3-V average current sense signal range, however it should be noted that the linearity of the current amplifiers begin to compress above 3.6 V. A resistor-divider network from VREF to GND can easily program the peak current limit voltage on PKLMT, provided the total current out of VREF is less than 2 mA to avoid drooping of the 6-V VREF voltage. A load of less than 0.5 mA is suggested, but if the resistance on PKLMT is very high, a small filter capacitor on PKLMT is recommended to avoid operational problems in high-noise environments. Externally Programmable Peak Current Limit level (PKLMT) PKLMT 10 IPEAKx + To Gate-Drive Shut-down CSx Current Synthesizer DI To Current Amplifier 3V Average Current-sense Signal Range, plus Ripple Figure 20. Externally Programmable Peak Current Limit Copyright © 2010–2011, Texas Instruments Incorporated 21 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com Linear Multiplier The multiplier of the UCC28070 generates a reference current which represents the desired wave shape and proportional amplitude of the ac input current. This current is converted to a reference voltage signal by the RIMO resistor, which is scaled in value to match the voltage of the current-sense signals. The instantaneous multiplier current is dependent upon the rectified, scaled input voltage VVINAC and the voltage-error amplifier output VVAO. The VVINAC signal conveys three pieces of information to the multiplier: 1. The overall wave-shape of the input voltage (typically sinusoidal), 2. The instantaneous input voltage magnitude at any point in the line cycle, 3. The rms level of the input voltage. The VVAO signal represents the total output power of the PFC pre-regulator. A major innovation in the UCC28070 multiplier architecture is the internal quantized VRMS feed-forward (QVFF) circuitry, which eliminates the requirement for external filtering of the VINAC signal and the subsequent slow response to transient line variations. A unique circuit algorithm detects the transition of the peak of VVINAC through seven thresholds and generates an equivalent VFF level centered within the eight QVFF ranges. The boundaries of the ranges expand with increasing VIN to maintain an approximately equal-percentage delta between levels. These eight QVFF levels are spaced to accommodate the full "universal" line range of 85 V-265 VRMS. A great benefit of the QVFF architecture is that the fixed kVFF factors eliminate any contribution to distortion of the multiplier output, unlike an externally-filtered VINAC signal which unavoidably contains 2nd-harmonic distortion components. Furthermore, the QVFF algorithm allows for rapid response to both increasing and decreasing changes in input rms voltage so that disturbances transmitted to the PFC output are minimized. 5% hysteresis in the level thresholds help avoid "chattering" between QVFF levels for VVINAC voltage peaks near a particular threshold or containing mild ringing or distortion. The QVFF architecture requires that the input voltage be largely sinusoidal, and relies on detecting zero-crossings to adjust QVFF downward on decreasing input voltage. Zero-crossings are defined as VVINAC falling below 0.7 V for at least 50 μs typically. Table 1 reflects the relationship between the various VINAC peak voltages and the corresponding kVFF terms for the multiplier equation. Table 1. VINAC Peak Voltages (1) 22 LEVEL VVINAC PEAK VOLTAGE kVFF (V2) 8 2.60 V ≤ VVINAC(pk) 3.857 > 345 V 7 2.25 V ≤ VVINAC(pk) < 2.60 V 2.922 300 V to 345 V 6 1.95 V ≤ VVINAC(pk) < 2.25 V 2.199 260 V to 300 V 5 1.65 V ≤ VVINAC(pk) < 1.95 V 1.604 220 V to 260 V 4 1.40 V ≤ VVINAC(pk) < 1.65 V 1.156 187 V to 220 V 3 1.20 V ≤ VVINAC(pk) < 1.40 V 0.839 160 V to 187 V 2 1.00 V ≤ VVINAC(pk) < 1.20 V 0.600 133 V to 160 V 1 VVINAC(pk) ≤ 1.00 V 0.398 < 133 V VIN PEAK VOLTAGE (1) The VIN peak voltage boundary values listed above are calculated based on a 400-V PFC output voltage and the use of a matched resistor-divider network (kR = 3 V/400 V = 0.0075) on VINAC and VSENSE (as required for current synthesis). When VOUT is designed to be higher or lower than 400 V, kR = 3 V/VOUT, and the VIN peak voltage boundary values for each QVFF level adjust to VVINAC(pk)/kR. Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com The multiplier output current IIMO for any line and load condition can thus be determined by the equation I IMO = 17 m A ´ (VVINAC )´ (VVAO - 1) kVFF (13) 2 Because the kVFF value represents the scaled VRMS at the center of a level, VVAO will adjust slightly upwards or downwards when VINACpk is either lower or higher than the center of the QVFF voltage range to compensate for the difference. This is automatically accomplished by the voltage loop control when VIN varies, both within a level and after a transition between levels. The output of the voltage-error amplifier VAO is clamped at 5.0 V, which represents the maximum PFC output power. This value is used to calculate the maximum reference current at the IMO pin, and sets a limit for the maximum input power allowed (and, as a consequence, limits maximum output power). Unlike a continuous VFF situation, where maximum input power is a fixed power at any VRMS input, the discrete QVFF levels permit a variation in maximum input power within limited boundaries as the input VRMS varies within each level. The lowest maximum power limit occurs at the VINAC voltage of 0.76 V, while the highest maximum power limit occurs at the increasing threshold from level-1 to level-2. This pattern repeats at every level transition threshold, keeping in mind that decreasing thresholds are 95% of the increasing threshold values. Below VINAC = 0.76 V, PIN is always less than PIN(max), falling linearly to zero with decreasing input voltage. For example, to design for the lowest maximum power allowable, determine the maximum steady-state (average) output power required of the PFC pre-regulator and add some additional percentage to account for line drop-out recovery power (to recharge COUT while full load power is drawn) such as 10% or 20% of POUT(max). Then apply the expected efficiency factor to find the lowest maximum input power allowable: PIN (max) = 1.10 ´ POUT (max) h (14) At the PIN(max) design threshold, VVINAC = 0.76 V, hence QVFF = 0.398 and input VAC = 73 VRMS (accounting for 2-V bridge-rectifier drop) for a nominal 400-V output system. Thus I IN ( rms ) = PIN (max) 73VRMS , and I IN ( pk ) = 1.414 ´ I IN ( rms ) Copyright © 2010–2011, Texas Instruments Incorporated (15) 23 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com This IIN(pk) value represents the combined average current through the boost inductors at the peak of the line voltage. Each inductor current is detected and scaled by a current-sense transformer (CT). Assuming equal currents through each interleaved phase, the signal voltage at each current sense input pin (CSA and CSB) is developed across a sense resistor selected to generate ~3 V based on (1/2) x IIN(pk) x RS/NCT, where RS is the current sense resistor and NCT is the CT turns-ratio. IIMO is then calculated at that same lowest maximum-power point, as I IMO(max) = 17 m A ´ (0.76V )(5V - 1V ) = 130m A 0.398 (16) RIMO is selected such that: R æ1ö RIMO ´ I IMO(max) = ç ÷ ´ I IN ( pk ) ´ S N CT è2ø (17) Therefore: RIMO ææ 1 ö ö ç ç 2 ÷ ´ I IN ( pk ) ´ RS ÷ è ø ø =è (NCT ´ I IMO(max) ) (18) At the increasing side of the level-1 to level-2 threshold, it should be noted that the IMO current would allow higher input currents at low-line: I IMO( L1- L 2 ) = 17 m A ´ (1.0V )(5V - 1V ) = 171m A 0.398 (19) However, this current may easily be limited by the programmable peak current limiting (PKLMT) feature of the UCC28070 if required by the power stage design. The same procedure can be used to find the lowest and highest input power limits at each of the QVFF level transition thresholds. At higher line voltages, where the average current with inductor ripple is traditionally below the PKLMT threshold, the full variation of maximum input power will be seen, but the input currents will inherently be below the maximum acceptable current levels of the power stage. The performance of the multiplier in the UCC28070 has been significantly enhanced when compared to previous generation PFC controllers, with high linearity and accuracy over most of the input ranges. The accuracy is at its worst as VVAO approaches 1 V because the error of the (VVAO-1) subtraction increases and begins to distort the IMO reference current to a greater degree. 24 Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 www.ti.com SLUSA71A – JULY 2010 – REVISED JUNE 2011 Enhanced Transient Response (VA Slew-Rate Correction) Due to the low voltage loop bandwidth required to maintain proper PFC and ignore the slight 120-Hz ripple on the output, the response of ordinary controllers to input voltage and load transients will also be slow. However, the QVFF function effectively handles the line transient response with the exception of any minor adjustments needed within a QVFF level. Load transients on the other hand can only be handled by the voltage loop, therefore, the UCC28070 has been designed to improve its transient response by pulling up on the output of the voltage amplifier (VAO) with an additional 100 μA of current in the event the VSENSE voltage drops below 93% of regulation (2.79 V). During a soft-start cycle, when VSENSE is ramping up from the 0.75-V PFC Enable threshold, the 100-μA correction current source is disabled to ensure the gradual and controlled ramping of output voltage and current during a soft start. Voltage Biasing (VCC and VREF) The UCC28070 operates within a VCC bias supply range of 10 V to 21 V. An Under-Voltage Lock-Out (UVLO) threshold prevents the PFC from activating until VCC > 10.2 V, and 1 V of hysteresis assures reliable start-up from a possibly low-compliance bias source. An internal 25-V zener-like clamp on VCC is intended only to protect the device from brief energy-limited surges from the bias supply, and should NOT be used as a regulator with a current-limited source. At minimum, a 0.1-μF ceramic bypass capacitor must be applied from VCC to GND close to the device pins to provide local filtering of the bias supply. Larger values may be required depending on ICC peak current magnitudes and durations to minimize ripple voltage on VCC. In order to provide a smooth transition out of UVLO and to make the 6-V voltage reference available as early as possible, the VREF output is enabled when VCC exceeds 8 V typically. The VREF circuitry is designed to provide the biasing of all internal control circuits and for limited use externally. At minimum, a 22-nF ceramic bypass capacitor must be applied from VREF to GND close to the device pins to ensure stability of the circuit. External load current on VREF should be limited to less than 2 mA, or degraded regulation may result. PFC Enable and Disable The UCC28070 contains two independent circuits dedicated to disabling the GDx outputs based on the biasing conditions of the VSENSE or SS pins. The first circuit which monitors the VVSENSE, is the traditional PFC Enable that holds off soft-start and the overall PFC function until the output has pre-charged to ~25%. Prior to VVSENSE reaching 0.75 V, almost all of the internal circuitry is disabled. Once VVSENSE reaches 0.75 V and VAO < 0.75 V, the oscillator, multiplier, and current synthesizer are enabled and the SS circuitry begins to ramp up the voltage on the SS pin. The second circuit provides an external interface to emulate an internal fault condition to disable the GDx output without fully disabling the voltage loop and multiplier. By externally pulling the SS pin below 0.6 V, the GDx outputs are immediately disabled and held low. Assuming no other fault conditions are present, normal PWM operation resumes when the external SS pulldown is released. It must be noted that the external pulldown needs to be sized large enough to override the internal 1.5-mA adaptive SS pullup once the SS voltage falls below the disable threshold. It is recommended that a MOSFET with less than 100-Ω RDS(on) resistance be used to ensure the SS pin is held adequately below the disable threshold. Copyright © 2010–2011, Texas Instruments Incorporated 25 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com Adaptive Soft Start In order to maintain a controlled power up, the UCC28070 has been designed with an adaptive soft-start function that overrides the internal reference voltage with a controlled voltage ramp during power up. On initial power up, once VVSENSE exceeds the 0.75-V enable threshold (VEN), the internal pull down on the SS pin is released, and the 1.5-mA adaptive soft-start current source is activated. This 1.5-mA pullup almost immediately pulls the SS pin to 0.75 V (VVSENSE) to bypass the initial 25% of dead time during a traditional 0 V to Vregulation SS ramp. Once the SS pin has reached the voltage on VSENSE, the 10-μA soft-start current (ISS) takes over. Thus, through the selection of the soft-start capacitor (CSS), the effective soft-start time (tSS) may be easily programmed based on the equation below. æ 2.25V ö tSS = CSS ´ ç ÷ è 10 m A ø (20) Often, a system restart is desired following a brief shut-down. In such a case, VSENSE may still have substantial voltage if VOUT has not fully discharged or if high line has peak charged COUT. To eliminate the delay caused by charging CSS from 0 V up to the pre-charged VVSENSE with only the 10-μA current source and minimize any further output voltage sag, the adaptive soft start uses a 1.5-mA current source to rapidly charge CSS to VVSENSE, after which time the 10-μA source controls the VSS accent to the desired soft-start ramp rate. In such a case, tSS is estimated as follows: æ 3V - VVSENSE 0 ö tSS = CSS ´ ç ÷ è 10 m A ø (21) where VVSENSE0 is the voltage at VSENSE at the moment a soft start or restart is initiated. NOTE For soft start to be effective and avoid overshoot on VOUT, the SS ramp must be slower than the voltage-loop control response. Choose CSS ≥ CVZ to ensure this. (V) VSS VVSENSE VSS if no adaptive current Time (s) PFC externally disabled due to AC-line drop-out Reduced delay to regulation AC-Line recovers and SS pin released Figure 21. Soft-Start Ramp Rate 26 Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 www.ti.com SLUSA71A – JULY 2010 – REVISED JUNE 2011 PFC Start-Up Hold Off An additional feature designed into the UCC28070 is the "Start-Up Hold Off" logic that prevents the device from initiating a soft-start cycle until the VAO is below the zero-power threshold (0.75 V). This feature ensures that the SS cycle will initiate from zero-power and zero duty-cycle while preventing the potential for any significant inrush currents due to stored charge in the VAO compensation network. Output Over-Voltage Protection (OVP) Because of the high voltage output and a limited design margin on the output capacitor, output over-voltage protection is essential for PFC circuits. The UCC28070 implements OVP through the continuous monitoring of the VSENSE voltage. In the event VVSENSE rises above 106% of regulation (3.18 V), the GDx outputs are immediately disabled to prevent the output voltage from reaching excessive levels. Meanwhile the CAOx outputs are pulled low in order to ensure a controlled recovery starting from 0% duty-cycle after an OVP fault is released. Once the VVSENSE voltage has dropped below 3.08 V, the PWM operation resumes normal operation. Zero-Power Detection In order to prevent undesired performance under no-load and near no-load conditions, the UCC28070 zero-power detection comparator is designed to disable both GDA and GDB output in the event the VAO voltage falls below 0.75 V. The 150 mV of hysteresis ensures that the output remains disabled until the VAO has nearly risen back into the linear range of the multiplier (VAO ≥ 0.9 V). Thermal Shutdown In order to protect the power supplies from silicon failures at excessive temperatures, the UCC28070 has an internal temperature-sensing comparator that shuts down nearly all of the internal circuitry, and disables the GDA and GDB outputs, if the die temperature rises above 160°C. Once the die temperature falls below 140°C, the device brings the outputs up through a typical soft start. Copyright © 2010–2011, Texas Instruments Incorporated 27 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com Current Loop Compensation The UCC28070 incorporates two identical and independent transconductance-type current-error amplifiers (one for each phase) with which to control the shaping of the PFC input current waveform. The current-error amplifier (CA) forms the heart of the embedded current control loop of the boost PFC pre-regulator, and is compensated for loop stability using familiar principles [4, 5]. The output of the CA for phase-A is CAOA, and that for phase-B is CAOB. Since the design considerations are the same for both, they are collectively referred to as CAOx, where the "x" may be "A" or "B". In a boost PFC pre-regulator, the current control loop comprises the boost power plant stage, the current sensing circuitry, the wave-shape reference, the PWM stage, and the CA with compensation components. The CA compares the average boost inductor current sensed with the wave-shape reference from the multiplier stage and generates an output current proportional to the difference. This CA output current flows through the impedance of the compensation network generating an output voltage, VCAO, which is then compared with a periodic voltage ramp to generate the PWM signal necessary to achieve PFC. IMO + CAOx CAx CSx Current Synthesizer CZC gmc = 100µS C PC R ZC Figure 22. Current Error Amplifier With Type II Compensation For frequencies above boost LC resonance and below fPWM, the small-signal model of the boost stage, which includes current sensing, can be simplified to: R Vout ´ S vRS N CT = vCA DVRMP ´ kSYNC ´ s ´ LB (22) where LB = mid-value boost inductance, RS = CT sense resistor, NCT = CT turns ratio, VOUT = average output voltage, ∆VRMP = 4Vpk-pk amplitude of the PWM voltage ramp, kSYNC = ramp reduction factor (if PWM frequency is synchronized to an external oscillator; kSYNC = 1 otherwise), s = Laplace complex variable An RZCCZC network is introduced on CAOx to obtain high gain for the low-frequency content of the inductor current signal, but reduced flat gain above the zero frequency out to fPWM to attenuate the high-frequency switching ripple content of the signal (thus averaging it). 28 Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com The switching ripple voltage should be attenuated to less than 1/10 of the ΔVRMP amplitude so as to be considered "negligible" ripple. Thus, CAOx gain at fPWM is: DVRMP ´ k SYNC g mc Rzc £ DI LB ´ RS 10 N CT (23) where ∆ILB is the maximum peak-to-peak ripple current in the boost inductor, and gmc is the transconductance of the CA, 100 μS. Rzc £ 4V ´ N CT 10 ´100 m S ´ DI LB ´ RS (24) The current-loop cross-over frequency is then found by equating the open loop gain to 1 and solving for fCXO: Vout ´ fCXO = RS N CT ´ g mc Rzc DVRMP ´ kSYNC ´ 2p ´ LB (25) CCZ is then determined by setting fZC = fCXO = 1/(2πxRZCxCZC) and solving for CZC. At fZC = fCXO, a phase margin of 45° is obtained at fCXO. Greater phase margin may be had by placing fZC < fCXO. An additional high-frequency pole is generally added at fPWM to further attenuate ripple and noise at fPWM and higher. This is done by adding a small-value capacitor, Cpc, across the RzcCzc network. Cpc = 1 2p ´ f PWM ´ Rzc (26) The procedure above is valid for fixed-value inductors. NOTE If a "swinging-choke" boost inductor (inductance decreases with increasing current) is used, fCXO varies with inductance, so CZC should be determined at maximum inductance. Copyright © 2010–2011, Texas Instruments Incorporated 29 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com Voltage Loop Compensation The outer voltage control loop of the dual-phase PFC controller functions the same as with a single-phase controller, and compensation techniques for loop stability are standard [4]. The bandwidth of the voltage-loop must be considerably lower than the twice-line ripple frequency (f2LF) on the output capacitor, to avoid distortion-causing correction to the output voltage. The output of the voltage-error amplifier (VA) is an input to the multiplier, to adjust the input current amplitude relative to the required output power. Variations on VAO within the bandwidth of the current loops will influence the wave-shape of the input current. Since the low-frequency ripple on COUT is a function of input power only, its peak-to-peak amplitude is the same at high-line as at low-line. Any response of the voltage-loop to this ripple will have a greater distorting effect on high-line current than on low-line current. Therefore, the allowable percentage of 3rd-harmonic distortion on the input current contributed by VAO should be determined using high-line conditions. Because the voltage-error amplifier (VA) is a transconductance type of amplifier, the impedance on its input has no bearing on the amplifier gain, which is determined solely by the product of its transconductance (gmv) with its output impedance (ZOV). Thus the VSENSE input divider-network values are determined separately, based on criteria discussed in the VINAC section. Its output is the VAO pin. 3V + VAO VA C ZV VSENSE gmv = 70µS CPV RZV Figure 23. Voltage Error Amplifier With Type II Compensation The twice-line ripple voltage component of VSENSE must be sufficiently attenuated and phase-shifted at VAO to achieve the desired level of 3rd-harmonic distortion of the input current wave-shape [4]. For every 1% of 3rd-harmonic input distortion allowable, the small-signal gain GVEA = VVAOpk / vSENSEpk = gmvxZOV at the twice-line frequency should allow no more than 2% ripple over the full VAO voltage range. In the UCC28070, VVAO can range from 1 V at zero load power to ~4.2 V(see note below) at full load power for a ΔVVAO = 3.2 V, so 2% of 3.2 V is 64-mV peak ripple. NOTE Although the maximum VAO voltage is clamped at 5 V, at full load VVAO may vary around an approximate center point of 4.2 V to compensate for the effects of the quantized feed-forward voltage in the multiplier stage (see Multiplier Section for details). Therefore, 4.2 V is the proper voltage to use to represent maximum output power when performing voltage-loop gain calculations. 30 Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com The output capacitor maximum low-frequency zero-to-peak ripple voltage is closely approximated by: v0 pk = Pinavg ´ X Cout Voutavg = Pinavg Voutavg ´ 2p ´ f 2 LF ´ Cout (27) where PIN(avg) is the total maximum input power of the interleaved-PFC pre-regulator, VOUT(avg) is the average output voltage and COUT is the output capacitance. VSENSEpk = vopkxkR, where kR is the gain of the resistor-divider network on VSENSE. Thus, for k3rd% of allowable 3rd-harmonic distortion on the input current attributable to the VAO ripple, Z OV ( f2 LF ) = k3rd ´ 64mV ´ Voutavg ´ 2p f 2 LF ´ Cout g mv ´ k R ´ Pinavg (28) This impedance on VAO is set by a capacitor (Cpv), where CPV = 1/( 2πf2LFxZOV(f2LF)) therefore, Cpv = g mv ´ k R ´ Pinavg k3rd ´ 64mV ´ Voutavg ´ ( 2p f 2 LF )2 ´ Cout (29) The voltage-loop unity-gain cross-over frequency (fVXO) may now be solved by setting the open-loop gain equal to 1: æ Pinavg ´ X Cout Tv( fVXO ) = GBST ´ GVEA ´ k R = ç ç DVVAO ´ Voutavg è fVXO 2 = so, ö ÷÷ ´ (g mv ´ X Cpv )´ k R = 1 ø (30) g mv ´ k R ´ Pinavg 2 DVVAO ´ Voutavg ´ (2p ) ´ Cpv ´ Cout (31) The "zero-resistor" (RZV) from the zero-placement network of the compensation may now be calculated. Together with CPV, RZV sets a pole right at fVXO to obtain 45° phase margin at the cross-over. Rzv = Thus, 1 2p fVXO ´ Cpv (32) Finally, a zero is placed at or below fVXO/6 with capacitor CZV to provide high gain at dc but with a breakpoint far enough below fVXO so as not to significantly reduce the phase margin. Choosing fVXO/10 allows one to approximate the parallel combination value of CZV and CPV as CZV, and solve for CZV simply as: Czv = 10 » 10 ´ Cpv 2p fVXO ´ Rzv (33) By using a spreadsheet or math program, CZV, RZV, and CPV may be manipulated to observe their effects on fVXO and phase margin and %-contribution to 3rd-harmonic distortion (see note below). Also, phase margin may be checked as PIN(avg) level and system parameter tolerances vary. NOTE The percent of 3rd-harmonic distortion calculated in this section represents the contribution from the f2LF voltage ripple on COUT only. Other sources of distortion, such as the current-sense transformer, the current synthesizer stage, even distorted VIN, etc., can contribute additional 3rd and higher harmonic distortion. Copyright © 2010–2011, Texas Instruments Incorporated 31 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com Advanced Design Techniques Current Loop Feedback Configuration (Sizing of the Current Transformer Turns Ratio and Sense Resistor (RS) A current-sense transformer (CT) is typically used in high-power applications to sense inductor current while avoiding significant losses in the sensing resistor. For average current-mode control, the entire inductor current waveform is required; however low-frequency CTs are obviously impracticable. Normally, two high-frequency CTs are used, one in the switching leg to obtain the up-slope current and one in the diode leg to obtain the down-slope current. These two current signals are summed together to form the entire inductor current, but this is not the case for the UCC28070. A major advantage of the UCC28070 design is the current synthesis function, which internally recreates the inductor current down-slope during the switching period off-time. This eliminates the need for the diode-leg CT in each phase, significantly reducing space, cost and complexity. A single resistor programs the synthesizer down slope, as previously discussed in the Current Synthesizer section. A number of trade-offs must be made in the selection of the CT. Various internal and external factors influence the size, cost, performance, and distortion contribution of the CT. These factors include, but are not limited to: • Turns-ratio (NCT) • Magnetizing inductance (LM) • Leakage inductance (LLK) • Volt-microsecond product (Vμs) • Distributed capacitance (Cd) • Series resistance (RSER) • External diode drop (VD) • External current sense resistor (RS) • External reset network Traditionally, the turns-ratio and the current sense resistor are selected first. Some iterations may be needed to refine the selection once the other considerations are included. 32 Copyright © 2010–2011, Texas Instruments Incorporated UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com In general, 50 ≤ NCT ≤ 200 is a reasonable range from which to choose. If NCT is too low, there may be high power loss in RS and insufficient LM. If too high, there could be excessive LLK and Cd. (A one-turn primary winding is assumed.) LLK IDS 1 NCT LM iM CSx RSER D Cd Reset Network RS Figure 24. Current Sense Transformer Equivalent Circuit A major contributor to distortion of the input current is the effect of magnetizing current on the CT output signal (iRS). A higher turns-ratio results in a higher LM for a given core size. LM should be high enough that the magnetizing current (iM) generated is a very small percentage of the total transformed current. This is an impossible criterion to maintain over the entire current range, because iM unavoidably becomes a larger fraction of iRS as the input current decreases toward zero. The effect of iM is to "steal" some of the signal current away from RS, reducing the CSx voltage and effectively understating the actual current being sensed. At low currents, this understatement can be significant and CAOx increases the current-loop duty-cycle in an attempt to correct the CSx input(s) to match the IMO reference voltage. This unwanted correction results in overstated current on the input wave shape in the regions where the CT understatement is significant, such as near the ac line zero crossings. It can affect the entire waveform to some degree under the high line, light-load conditions. The sense resistor RS is chosen, in conjunction with NCT, to establish the sense voltage at CSx to be about 3 V at the center of the reflected inductor ripple current under maximum load. The goal is to maximize the average signal within the common-mode input range VCMCAO of the CAOx current-error amplifiers, while leaving room for the peaks of the ripple current within VCMCAO. The design condition should be at the lowest maximum input power limit as determined in the Multiplier Section. If the inductor ripple current is so high as to cause VCSx to exceed VCMCAO, then RS or NCT or both must be adjusted to reduce peak VCSx, which could reduce the average sense voltage center below 3 V. There is nothing wrong with this situation; but be aware that the signal is more compressed between full- and no-load, with potentially more distortion at light loads. The matter of volt-second balancing is important, especially with the widely varying duty-cycles in the PFC stage. Ideally, the CT is reset once each switching period; that is, the off-time Vμs product equals the on-time Vμs product. (Because a switching period is usually measured in microseconds, it is convenient to convert the volt-second product to volt-microseconds to avoid sub-decimal numbers.) On-time Vμs is the time-integral of the voltage across LM generated by the series elements RSER, LLK, D, and RS. Off-time Vμs is the time-integral of the voltage across the reset network during the off-time. With passive reset, Vμs-off is unlikely to exceed Vμs-on. Sustained unbalance in the on or off Vμs products will lead to core saturation and a total loss of the current-sense signal. Loss of VCSx causes VCAOx to quickly rise to its maximum, programming a maximum duty-cycle at any line condition. This, in turn causes the boost inductor current to increase without control, until the system fuse or some component failure interrupts the input current. Copyright © 2010–2011, Texas Instruments Incorporated 33 UCC28070-Q1 SLUSA71A – JULY 2010 – REVISED JUNE 2011 www.ti.com It is vital that the CT has plenty of Vμs design-margin to accommodate various special situations where there to be several consecutive maximum duty-cycle periods at maximum input current, such as during peak current limiting. Maximum Vμs(on) can be estimated by: Vm (on )max = tON (max ) ´ (VRS + VD + VRSER + VLK ) (34) where all factors are maximized to account for worst-case transient conditions and tON(max) occurs during the lowest dither frequency when frequency dithering is enabled. For design margin, a CT rating of ~5*Vμs(on)max or higher is suggested. The contribution of VRS varies directly with the line current. However, VD may have a significant voltage even at near-zero current, so substantial Vμs(on) may accrue at the zero-crossings where the duty-cycle is maximum. VRSER is the least contributor, and often can be neglected if RSER
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