Power Management Systems,
System on Chip (SoC)
         Jyotirmoy Ghosh
         Advanced VLSI Design Laboratory,
         Indian Institute of Technology Kharagpur
         Email- jyotirmoy@iitkgp.ac.in
Contents
 What is power management
 How to decide
 DC-DC power converters
   ■ LDO
   ■ Inductor based switched mode converters
      ● Closed loop control
   ■ Switched capacitor converters
 Voltage regulator module
   ■ Dynamic voltage scaling
   ■ Current mode control
   ■ Pulse skip mode
 SOC implementation
            Power Management Group, AVLSI Design Lab, IIT-Kharagpur   2
What is Power Management ?
Supply                                                                  Load
            Vin            A direct connection
                        L, C, Power switches, etc.
                                                                Vout
                            is not desirable.
                          Converter - Power Stage
2.5V-5.5V                                                               1.2V
                                 Controller
         An Example of a Power Management System: DC-DC Converter
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Domains of Power Management
Voltage Conversion
         DC to DC – Cell phones
         DC to AC – Home inverter
         AC to DC – Rectifier as in a PC supply
         AC to AC - Transformer
Others
         Battery Charging – Cell phone chargers
         Drivers – CFL and LED Drivers
         Power Quality Improvement
         And many more…
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Typical applications
       Power Management Group, AVLSI Design Lab, IIT-Kharagpur   5
World wide Power Management
                                                      The market is
                                                     expected to grow at a
                                                     rate higher than most
                                                     of other areas in IC
                                                     design.
                                                      In many large analog
                                                     companies, half of the
                                                     business is in power
                                                     management.
      Power Management Group, AVLSI Design Lab, IIT-Kharagpur                6
Example: Power Management Unit for a Notebook
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How to choose?
 Input - Output Voltage Range
 Load current
 Voltage and Current Ripple
 Efficiency
 Nature of Application
 Transient Requirements
 Loop BW
 EMI
 Input – Output Isolation
 Board Area
 Cost
 …
               Power Management Group, AVLSI Design Lab, IIT-Kharagpur   8
DC-DC conversion techniques
 Low Drop-Out Regulators
 Inductor Based Switched Mode Power Converter
 Switched Capacitor Converters
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    Low Drop-Out Regulator
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  Resistor divider
            R1
Vout   =         Vin
         R1 + R2
                                  R1
                                              Vout      → V’out
                Vin
                                                      LOAD
                                 R2
                                             Can’t draw any current
                                            without causing extra drop!
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LDO – Low Drop Out regulator
 The idea is to control R1.
                               R1
                                         Vout       →V’
                                                    → Vout
                                                        out
              Vin
                                                 LOAD
                               R2
                                    Controller
    Drop R2.
    Use feedback control to adjust the value of R1.
 Consider Vin = 5.0 V; Vout = 1.0 V.                 Efficiency =
                              ?
           Power Management Group, AVLSI Design Lab, IIT-Kharagpur   12
R1 to a MOSFET
                                  Power MOSFET           (Acting as R1)
                                Vout            → Vout
    Vin
                                         LOAD
              Driver
                           Controller
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Inductor Based Switched Mode Converter
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Step down switching converter: Buck Converter
     Buck Converter Circuit                      ON-state                     OFF-state
Applying volt-sec balance for the inductor:
                Ts
              1
                ∫
             Ts 0
                   VL dt = 0
             DTs              Ts
        ⇒     ∫0
                   VL dt +    ∫
                              DTs
                                    VL dt = 0.
⇒ (Vg − Vo)DTs + ( − Vo)(1 − D)Ts = 0
                                                                        Inductor Voltage
                   ⇒ Vo = DVg
                                                          Vo
Conversion ratio of Buck Converter:                    D=
                                                          Vg
                     Thus, this is a step-down conversion
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Analysis of Buck Converter Cont..
Inductor current ripple:
                                           di                        (Vg − VO )DTs
Inductor voltage current relation: V = L               Thus ∆i L =
                                           dt                               L
During time interval dt = D.Ts,                                      (1 − D)VO Ts
                                                          or, ∆i L =
change in inductor current di is ∆iL ;                                     L
                                                                             V
and voltage across the inductor is (Vg − VO )              Since I L = IO = O
                                                                              R
                                         ∆iL (1 − D)RTs
                   Current ripple factor    =
                                         IL       L
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 Analysis of Buck Converter Cont..
 Output voltage ripple:
 Total charge transferred to capacitor that causes the voltage to swing from
 maximum to minimum:
        1 ∆i L TS ∆i L TS
     ∆q =         =
        2 2 2       8
      ∆q ∆i L TS VO (1 − D)TS2
∆VO =   =        =
      C    8C         8LC
     Voltage ripple factor
       ∆Vo (1 − D)Ts 2
          =
       Vo      8LC
                 Power Management Group, AVLSI Design Lab, IIT-Kharagpur       17
 Analysis of Boost Converter
   Boost Converter Circuit                       ON-state                    OFF-state
                                        Inductor Voltage
From inductor volt-sec balance:                  (Vg)DTs + (Vg − VO )(1 − D)Ts = 0
                                                                         Vg
                                                            or, VO =
                                                                       (1 − D)
                                                    VO   1
Conversion ratio of Boost Converter:                   =
                                                    Vg 1 − D
                                                 Thus, this is a step-up conversion
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Analysis of Boost Converter Cont..
Inductor current ripple:
                                           di
  Inductor voltage current relation: V=L                                    VgDTs
                                           dt                 Thus, ∆iL =
                                                                              L
  During tiem interval dt= D.Ts
                                                               Io     Vo       Vg
  change in inductor current di is ∆i L               IL =         =       =
                                                             (1− D) R(1− D) R(1− D)2
  and votlage across the inductor is Vg
                                                       2
                                          ∆iL D.(1 − D) RTs
                    Current ripple factor    =
                                          IL         L
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 Analysis of Boost Converter Cont..
 Output voltage ripple:
 Total charge transferred to capacitor that causes the voltage to swing from
 maximum to minimum:
             ∆q = IO DTs
            ∆q I O DTs VO DTs
Thus, ∆VO =   =       =
            C      C    RC
                           ∆VO DTs
Voltage ripple factor         =
                           VO   RC
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Non inverting Buck-Boost Converter
Cascading of Buck Converter and Boost Converter
                                VO   D              (VO ≥ Vg) when, ( D ≥ 0.5)
 Voltage conversion ratio:         =
                                Vg 1 − D
                                                    (VO < Vg) when, ( D < 0.5)
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Switched Mode Converter in Closed Loop
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Classical PWM Voltage mode control
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Small signal model
           T(s) = Gvd(s) . H(s) . Gc(s) . 1/VM
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Switched Capacitor Converter
 Power Management Group, AVLSI Design Lab, IIT-Kharagpur   25
Step-up Conversion
                                       From capacitor - charge balance :
                                           (Vout − VDD )C = VDD C
                                                  or, Vout = 2VDD
  Simple voltage doubler circuit
                    Voltage multiplier circuit – Dickson charge pump
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Step-down Conversion
                      VIN
             VOUT =
                       2                                            VIN
                                                           VOUT   =
                                                                     3
  On-chip scalable voltage generation
  Good choice for very low power battery operated system
  Voltage scaling below 1V
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Comparison of three classes
This is a basic comparison for typical members from each class and is only meant
to give a rough idea. Depending on actual circumstances, exceptions may arise.
Criteria             LDO                  Inductor Based Charge Pumps
                                          Switcher
Voltage Conversion   Only Buck1           All (buck, boost,      All (in discrete
Range                                     inversion)             steps)2
Efficiency           Low                  High                   High
Max Output Current   Moderate3            High3                  Low4
Vout ripple          Negligible           High                   High
Design Complexity    Moderate             High                   High
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     An application of Switching Converter:
Voltage Regulator Module (VRM) for Processors
         Power Management Group, AVLSI Design Lab, IIT-Kharagpur   29
Power Management Group, AVLSI Design Lab, IIT-Kharagpur   30
Technology Challenges
 Stringent transient specifications
 Low voltage and current ripple
                                               Typical load transient waveform
 Tight line and load regulations
 High efficiency throughout the
  operation periods
                                      Typical efficiency vs. load current waveform
            Power Management Group, AVLSI Design Lab, IIT-Kharagpur              31
Dynamic voltage scaling
   Typical processor voltage and dynamically scaled processor voltage
                  CPU power loss = CVCC
                                     2
                                        f + PLEAK
            Power Management Group, AVLSI Design Lab, IIT-Kharagpur     32
PWM Current Mode Converter
Dead                                 Vout
              Driver                                   Faster dynamic response
band                                       L
                                           O           Better stability
                                           A
                                           D
                                                       Better line regulation
          PWM                PID
        Comparator                     Vf
                             EA
Latch                 Ve
                 Ri                 Vref
                                               IL
             Advanced VLSI Design Lab, IIT-Kharagpur                             33
Difference between VMC and CMC
              Voltage Mode Control
       Vref
                           vcontrol
               EA                                          d
                                         PWM
       V0
                                  ramp
               Current Mode Control
      Vref
                       vcontrol               clk           S       d
              EA                                                Q
                                   Comp.                    R
      V0
                                                        iL(t)
                           Inductor current         vcontrol
              Advanced VLSI Design Lab, IIT-Kharagpur                       34
 Low load efficiency
  Pulse skip mode
Boost converter with pulse skip mode
                Power Management Group, AVLSI Design Lab, IIT-Kharagpur   35
        SOC Implementation
Power Management Group, AVLSI Design Lab, IIT-Kharagpur   36
Block diagram of buck converter & its different
flavors
                                                Converter IC
                                                                        Fully
  Ramp Osc.         Controller IC                                    Integrated
                                                                    Converter IC
 PWM                          Dead
                Latch                        Driver
 Comp                         band
                                                                                   L
                                                                                   O
                                                                                   A
                                                                                   D
                       VREF
        Error Amp
           Compensator
              Power Management Group, AVLSI Design Lab, IIT-Kharagpur              37
Commercially where we are now?
 Controller IC: (Commercially most popular)
    ■ As power circuits and compensator are external, it has lot of flexibility to
      change the power circuits for various applications, value of L & C etc.
    ■ But, it takes lot of area.
 Converter IC: (Commercially moderately popular)
    ■ As, fixed power circuit are integrated in-side the chip, it can be used for
      specific type of applications.
    ■ As, compensator is also integrated, only specific value of L & C should be
      connected as off-chip.
    ■ It takes much lesser area than the previous solution.
 Fully integrated converter IC: (Commercially less popular/ mostly in
  research phase)
    ■ Can be used for very specific applications.
    ■ It is most area efficient solution.
    ■ But, it has lesser power efficiency due to the limitation of on-chip L & C.
               Power Management Group, AVLSI Design Lab, IIT-Kharagpur               38
Selection of switching frequency
Advantages and Disadvantages of Higher Switching Frequency
 Advantages:
   ■ Enable smaller solution size
      ● Smaller inductor can be used with higher switching frequency to
        maintain the same current ripple
      ● Improve dynamic performance because of higher bandwidth of control
        loop
 Disadvantages:
   ■ Increase AC losses
       ● Gate drive loss
       ● Switching loss
       ● Dead time loss
       ● AC loss of inductor
   ■ EMI impact
             Power Management Group, AVLSI Design Lab, IIT-Kharagpur         39
Selection of MOSFETs
• For a given die size, N-MOSFET offers low on-resistance and lower gate charge
  compared to P-MOSFET but requires “bootstrapped” drive circuit
• Tradeoff in selection: power loss, cost and package type (for discrete MOSFETs)
• MOSFETs are characterized by its Figure of Merit (FOM) = Qg * RDS(on)
Vertical MOSFETs:
    High voltage blocking capability
    Higher packing density
   Lateral MOSFETs:
    Lower gate charge
    Higher current carrying capacity per unit cross
                                                               Cross-section of vertical MOS
     sectional area at low voltage
    Suitable for low voltage, high current applications
    Terminals are readily available for connection with
     metal layers: suitable for on-chip implementation of
     DC-DC converters                                          Cross-section of lateral MOS
                Power Management Group, AVLSI Design Lab, IIT-Kharagpur                       40
Different losses in converter circuit
 Conduction loss:
   ■ Losses due to drain-source resistance of big power MOS
   ■ Conduction loss ∞ RDS_on of the power MOS∞ 1/ Die size.
                                       2 ∆I 2 
          Pcond = RDS _ on     * D *  Iout +    
                                              12 
 Gate drive loss:
   ■ Losses due to charging/discharging the highly capacitive gate
     node of the power MOS.
   ■ Gate driver loss ∞ Gate charge (Qg=Cg*Vin) ∞ Die size.
           PGateDrive = (CGS + CGD ) * Vin * Fsw
            Power Management Group, AVLSI Design Lab, IIT-Kharagpur   41
Different losses in converter circuit
 Transition loss:
   ■ Losses across the power switch at the edge of transition.
   ■ tr and tf are the rise and fall time of the switch node
     respectively.
   ■ Ipm and Ipp are the minimum and maximum peak value of
     inductor current.
           Ptran = 0.5 * Vin * Fsw * (t r * I pm + t f * I pp )
 Drain-bulk capacitive switching loss:
   ■ Losses due to the parasitic drain-bulk capacitance of the
     power MOS in the switch node.
                    1          2
            PDB = CDB * Vin
                    2
             Power Management Group, AVLSI Design Lab, IIT-Kharagpur   42
Different losses in converter circuit
 Dead time loss:
    ■ Losses due to the conduction of body diode of power MOS
      during dead-time.
    ■ VF is the diode forward voltage.
    ■ tD_rise and tD_fall are the dead time at rising and falling edge
      respectively.
          PDiode = VF * Iout * Fsw * (t D _ rise + t D _ fall )
 Body diode reverse recovery loss:
   ■ Losses due to reverse recovery in the body diode of the low-
     side power MOS .
   ■ Qrr is the reverse recover charge.
            Prr = Vin * Fsw * Qrr
               Power Management Group, AVLSI Design Lab, IIT-Kharagpur   43
Different losses in converter circuit
 Inductor loss:
   ■ Loss due to the DC and AC resistance of the inductor.
                                 2           ∆I 2
         PInductor = Rdc * Iout + Rac      *
                                             12
 Capacitor loss:
   ■ Loss due to the ESR of the capacitor.
                             ∆I 2
          PESR = RESR      *
                             12
 Controller loss:
   ■ Loss due to the quiescent current consumption in the
     controller.
           PController = Vin * Iq
            Power Management Group, AVLSI Design Lab, IIT-Kharagpur   44
Trade-off in optimizing different losses
  How to fix the size of power MOS in a particular technology?
     ■ Total power loss is minimum at the point where gate driver
       loss and conduction loss is equal.
     ■ This sizing maximizes the power efficiency.
                                        Optimal die size
Power dissipation (W)
                                                                         Total loss
                                                                         Gate driver loss
                                                                         Conduction loss
                                      Die size (mm2)
               Power Management Group, AVLSI Design Lab, IIT-Kharagpur                45
Packaging issues
                                                                                 PVDD
 Typical value of bond-wire                  Package                    +
                                                          LBONDWIRE*(di/dt)
  inductance is 1.5 nH – 4.8 nH.                Wafer
                                                                         -
                                                                                 PMOS
 For high speed converter (not                         Gate Driver
                                                                                 LBONDWIRE
                                                                                             L       Vout
  necessarily high frequency                                                     NMOS
                                                                                                      RLOAD
  converter), di/dt=1A/1nS.                               LBONDWIRE*(di/dt)
                                                                             +
                                                                                                 C
                                                                             -
 So, assuming 2 nH bond-wire                                                    PGND
  inductance, supply bounce is 2 V!
 Solution: Use of lead-less
  package which eliminates the
  supply bounce.
               Power Management Group, AVLSI Design Lab, IIT-Kharagpur                                        46
Example of layout
                                                                   NMOS
      PMOS                                                        NMOS Driver
PMOS Driver
                                                                  Controller
    Layout of a 20MHz dc-dc buck converter in a 0.5 µm process.
              Power Management Group, AVLSI Design Lab, IIT-Kharagpur           47
20 MHz DC-DC converter developed by IIT-
Kharagpur- An example
                AVDD      PVDD     L       VOUT
                VFS1       SW
    VIN   CIN   VFS2       VFB
+
−               VTS1   VTEST,ANA
                VTS2   VTEST,DIG       C     CBYPASS
                AGND      PGND
Typical application circuit
                                                            Die photograph
                       Power Management Group, AVLSI Design Lab, IIT-Kharagpur   48
20 MHz DC-DC converter developed by IIT-
Kharagpur- An example
      PCB layout                               Evaluation board
          Power Management Group, AVLSI Design Lab, IIT-Kharagpur   49
Acknowledgement
Prof. Amit Patra, Department of Electrical Engineering, IIT Kharagpur
                    Power Management Group, AVDL
                                Rakesh Babu
                                 Asif Eqbal
                               Pradipta Patra
                                Ashis Maity
                               Srikanth Pam
                             Rupam Mukherjee
             Power Management Group, AVLSI Design Lab, IIT-Kharagpur    50
         Thank You
Power Management Group, AVLSI Design Lab, IIT-Kharagpur   51
References
 Robert W. Erickson and Dragan Maksimovic, “Fundamentals of Power
  Electronics,” Springer International Edition, 2006.
 B. Lynch and K. Hesse, “Under the hood of low-voltage dc/dc converters,” in
  Proc. Power Supply Design Seminar (SEM 1500), 2002.
 Jens Ejury,“How to Compare the Figure Of Merit (FOM) of MOSFETs,” Infineon
  Technologies Application Notes.
 Donald Schelle, Jorge Castorena, “Buck Converter Design Demystified,”
  Maxim Integrated Products.
 Everett Rogers, “Understanding Buck-Boost Power Stages in Switch Mode
  Power Supplies,” Application Report, Texas Instruments.
 Power Management technique for multimedia mobile phones. , no. 1, April
  2006, Available at www.edn.com.
 J.M. Rivas, D. Jackson, O. Leitermann, A.D. Sagneri, Yehui Han, and D.J.
  Perreault, .Design Considerations for Very High Frequency dc-dc Converters,.
  Power Electronics Specialists Conference, 2006. PESC '06. 37th IEEE, pp. 1.11,
  18-22 June 2006.
               Power Management Group, AVLSI Design Lab, IIT-Kharagpur          52
References
   MIC2285 Datasheet, Micrel Inc., 8MHz PWM Synchronous Buck Regulator
    with LDO Standby Mode, Available at ww.micrel.com/\_PDF/mic2285.pdf.
 EP5362Q Datasheet, Enpirion, Inc., 600mA Synchronous Buck Regulators
  with Integrated Inductor, Available at www.enpirion.com.
 MIC2245 Datasheet, Micrel Inc., 4MHz PWM Synchronous Buck Regulator
  with LDO Standby Mode, Available at www.micrel.com/PDF/mic2245.pdf.
 MAX8460 Datasheet, Maxim Inc., 4MHz, 500mA Synchronous Step-Down
  DC-DC Converters in Thin SOT and TDFN, Available at www.maxim-ic.com
 TPS623XX Datasheet, Texas Instruments, 500-mA, 3MHz Synchronous
  Step-Down Converters in chip scale package, Available at
  www.focus.ti.com/lit/ds/symlink/tps62315.pdf.
 S. Abedinpour, B. Bakkaloglu, and S. Kiaei, .A Multi-Stage Interleaved
  Synchronous Buck Converter with Integrated Output Filter in a 0.18/spl mu/
  SiGe process,. Solid-State Circuits, 2006 IEEE International Conference
  Digest of Technical Papers, pp. 1398.1407, Feb. 6-9, 2006.
               Power Management Group, AVLSI Design Lab, IIT-Kharagpur         53
References
 B.J. Patella, A. Prodic, A. Zirger, and D. Maksimovic, .High-frequency digital
  PWM controller IC for DC-DC converters,. Power Electronics, IEEE
  Transactions on, vol. 18, no. 1, pp. 438.446, Jan 2003.
 Haifei Deng, A.Q. Huang, and Yan Ma, .Design of a monolithic high
  frequency fast transient buck for portable application,. Power Electronics
  Specialists Conference, 2004. PESC 04. 2004 IEEE 35th Annual, vol. 6, pp.
  4448.4452 Vol.6, 20-25 June 2004.
 Yeong-Tsair Lin, Wen-Yaw Chung, Dong-Shiu Wu, Hung-Chan Wang, Hung-
  Yih Lin, and Jiann-Jong Chen, .A monolithic CMOS step-down DC-DC
  converter,. Circuits and Systems, 2005. 48th Midwest Symposium on, pp.
  448.451 Vol. 1, 7-10 Aug. 2005.
 http://www.national.com/AU/design/courses/253/index.htm?start_file=swx0
  7/01swx07.htm
               Power Management Group, AVLSI Design Lab, IIT-Kharagpur             54