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Improve PCB Quality and Cost with
Concurrent Power Integrity Analysis
Ralf Brüning, Product Manager High-Speed Design
Solutions/Senior Partner
Humair Mandavia, Senior Technical Marketing Manager
Agenda

•   Increasing challenges with power
    distribution systems on modern
    high-speed PCBs
•   The problem:
     – IC input impedance behavior
     – Resonance behavior of PDS
     – Role of decoupling capacitors
•   EDA methodology for concurrent
    power integrity simulation
    throughout PCB design process
•   Summary/Outlook
                                       PCB Design
                                        Problems



                                         PCB Design
                                          Problems
2
                                                 © Zuken
Traditional Verification Disciplines




3
                                       © Zuken
Power Distribution Systems

DC Voltages are not equally distributed and not considered ideal over
  copper planes




                                            3.27V




                             3.3V
                                                    3.25V
                                                                 Loads
                  Voltage
                  Source




                              Example: 3.3V Power Distribution System



“Voltage drops” occur on the copper area and within the vias

4
                                                                         © Zuken
Basic Electrical Concepts
                                                                       I
                                                                V
•   Resistors dissipate energy
     – Resistance = Voltage / Current (R = V / I)                                  R
     – Voltage = Current  Resistance (V = I  R)

                                                                           I
•   Capacitors store energy in an electric field                                               VV
                                                                                               V
     – Charge = Capacitance  Voltage (q = CV)                                 +
                                                                                           C
     – Current (q / time) = C  (V / t) (I = C  V / t)
     – Power plane over ground plane is a great capacitor!

                                                                    I / t    V
•   Inductors store energy in a magnetic field                                     +

     – Voltage = Inductance  (I / t)     (V = L  I / t)
                                                                                       L
     – Oppose current changes with a voltage
     – Inductive kick: pull the plug on a vacuum cleaner
       when it’s running!



5
                                                                                                   © Zuken
Voltage Supply for ICs:
Power Distribution System (PDS)

•   The power distribution system (PDS) will provide voltages and charge to the ICs
    on a PCB
•   Charge on the board must be supplied over a broad frequency range:
     - Low frequency activities (we still have them)
     - In MHz range for CPU-peripheral interfaces
     - At the clock frequency (several hundreds of MHz)
     - Provide a low impedance path for parasitic voltages at various
        harmonics of the clock




6
                                                                                © Zuken
Power Plane Resonances Impedance
Behavior

• Power Plane Pair input impedance vs. frequency shows varied behavior
  in different ranges:




                Capacitive
                 behavior
                  (“DC”)
                 Z=1/jC
                                                                      2D-Resonances
                                                                        Continue to
                                                                         infinity…
               LC-Series
           resonance of the                           Inductive
            plate capacitor                         behavior of the
            with the plane’s                            plane
              inductance
                             Local dependency of Plane Impedance

7
                                                                                      © Zuken
Power Plane Pairs Concerns

•   Power plane pairs are used to provide the switching current to the ICs in a
    higher frequency range where decoupling capacitors cannot work effectively
    (f>20-50 MHz).
•   A constant low impedance is required in a wide frequency range between the
    fundamental clock frequency f0 of the ICs and several 10x harmonics of f0
•   Resonances cause significantly higher impedances!
      If one or more harmonics of f0 coincide with a plane’s resonance frequency, the IC’s
       function may fail!




                             f0
         Local dependency of Plane Impedance

8
                                                                                          © Zuken
When Integrated Circuits Switch ….

                                            TTL Inverter      VCC



                                                             R1           R2



                                                                                    Q1

                                                        Q4            Q
                                                                          3    D1

                                         V(t)
                                                                                    Q
                                                                                        2
                                     +
                                     -                                                               Last
                                                                          R3




                                   GND

                                                Input        Intern                         Output




    •   They need charge.                                                                                   1.8V

    •   Voltage has to be delivered (for reaching logic levels).                                            VH


    •   A switching current will occur!                                                                       VL

                                                                                                            GND

    Relation between voltage & current?  Ohm’s law
9
                                                                                                                   © Zuken
Power Integrity in Reality
 Proper Power Supply of a Large FPGA

 A Xilinx FPGA with 456 pins:
 •    Controls a video grabber card
 •    64 bits can switch in parallel (worst case, with
      a rise time of 750ps)
 •    Output pin drives into a load of 15pf


 The maximum switching current can be
    determined by:

               Vcc              2.5V
I  n * C *        64 *15 pf         3.2 A
                t              0.75ns
 Based on this maximum current, the
    impedance limit to guarantee a ripple of
    less than 125 mV (5% of 2.5 V) :

                  U 125mV
            Z              0.039
                  I   3.2 A
 10
                                                         © Zuken
Power Integrity: Switching Current

• IC Switching current depends on:
     - Number of active outputs
     - Activity state
     - Driver rise and fall times
                                             TTL Inverter      VCC
     - Clock frequencies
     - Load conditions                                        R1           R2



                                                                                     Q1

                                                         Q4            Q
                                                                           3    D1

                                          V(t)
                                                                                     Q
                                                                                         2
                                      +
                                      -                                                               Last
                                                                           R3




                                    GND

                                                 Input        Intern                         Output




11
                                                                                                             © Zuken
Example: Ztarget of a Freescale Power-PC



                                 Area to be determined by PCB design




Picture © Freescale




                                       Table © Freescale
12
                                                                 © Zuken
PCB Design Process Changing


                    Traditional design flow to address power integrity issues




       Conceptual                                                                            Test
                       Schematic       Placement              Layout     Prototyping
        Design                                                                           Measurements




                    Design flow with power integrity analysis during layout

                                            Concurrent PI Simulation


     Conceptual                                                                            Test
                     Schematic       Placement             Layout      Prototyping
      Design                                                                           Measurements




13
                                                                                                        © Zuken
Common Management of Power Integrity

Decoupling Capacitors (DeCaps):
•    Often used on “per default” basis (eg.; each IC)
•    Values are based on past experience or design guidelines (eg.; 47nF, 100nF,…)
•    Decision drivers are typically “rules of thumb” or “fear-decouplers”
•    Connection between ICs and power-planes using discrete components and long traces
     usually result in:
      –   Parasitic inductances
      –   Parallel connection in series to GND  very high impedance and parallel capacitor circuit
      –   Outcome:
            ‒ Efficiency is reduced (can be narrowed down to zero)
            ‒ Low-pass filters with low resonance frequencies (LC-Resonance)
            ‒ Current loops  EMC antennas
                                                                               Vdd
                                                                               Ground




14
                                                                                                      © Zuken
Parasitic Inductance of DeCaps

The following inductance should be taken into account for PI consideration:

      •   Connecting traces (rule of thumb: ~1nH per mm)
      •   ESL of the DeCap (Package)
      •   Inductance of the PDS (eg,; Vcc/GND)
      •   2 x Via-Inductance, which can be calculated by hand as follows:

                                                 With:
                   4h  
     LVia    2h ln    1                                h = PCB-thickness resp. Via-length

                  d  
                                                 and:
                                                             d = Via-diameter


                                    IC                                       Decap


                                                                                     Vcc

                                                                                     GND
15
                    Source: Johnson & Graham’s : A Handbook of Black Magic                  © Zuken
Real Capacitors
                                                  Equivalent Circuit
                                                  C        L           ESR
                Capacitor

                                    Z



     Resonance frequency of a
            capacitor

       fres  1 / 2 L  C
                                 ESR

                                                          fres1        fres2   log f

         C=10nF, L= 25nH (including trace)  f res  10 MHz

                        C=10nF, L= 2.5nH (SMD-Pads)  f res  33 MHz
16
                                                                                       © Zuken
Decoupling Capacitors and Resonances




17
                                       © Zuken
Decoupling Capacitors: Design Rules

Distance of decoupling capacitor to IC pin:
     - Investigation of the influence of distance d between IC (source) and a
       decoupling capacitor




                     DeCap
             d

            Source


18
                                                                                © Zuken
Decoupling Capacitors: Design Rules

Distance of DeCaps to IC Pin:
 Distance d has significant influence on efficiency and resonance behavior, but not in the
    high frequency range (where DeCaps are not effective at all).




       Pure Plane
       d=2mm
       d=5cm
       d=10cm
                                                     d




19
                                                                                          © Zuken
Decoupling Capacitors: Design Rules

• Does more DeCaps result in improved resonance behavior?
     - Distance = 2cm, up to 4 DeCaps at 10nF




                                                Port2




                    DeCaps


           Source




20
                                                            © Zuken
Decoupling Capacitors: Design Rules

• Variation of the number of the DeCaps
       – Identical DeCaps with identical connection
• Consequence: Number of DeCaps have limited impact in quality and
  quantity (resonance in frequency point and magnitude) but there is no
  general rule  more does not always mean better




     Pure Plane
     1 Decap
     2 Decaps
     3 Decaps
     4 Decaps



21
                                                                      © Zuken
Application: Decoupling Analysis & What If

DeCap potentially not effective ?




Change Value within Lightning from 470p to 100N  Quick What-If




22
                                                                  © Zuken
Application: Effectiveness of Decoupling

•    Impedance distribution at target
     frequencies show impact of
     decoupling capacitors

•    Indicate quality of placement
     location, value and connection
     inductance

•    Placement or connection can be
     changed on the fly in Lightning
     for what if capabilities




23
                                           © Zuken
Application: DDR2 Power Supply
Symetrical modules, with different Power/GND connection


                                                               35Ohm @550MHz


                                                                     D1

                      V1                    D1                            D2




                                                                  11Ohm @650MHz

                                                                    V1


                 V2                        D2
                                                          V2
                                  better



24
                                                                                  © Zuken
Application: Plate Capacitance of PDS




     Plate capacitance should be considered for
     power and ground plane overlaps




25
                                                  © Zuken
Application: Decoupling Capacitor
Connection  Inductance Effect




• Automotive Motor Control Unit
     – Changed connection strategy reduces inductance from
       16nH to 7.5nH

26
                                                             © Zuken
Application: Changing PWR/GND Shapes
to Improve PDN Behavior




Motor Control Unit
     –   Increased PDS shapes and better connection of decoupling capacitors allows reduction in the
         number of decoupling capacitors by 40%  saving PCB and manufacturing costs.




27
                                                                                                       © Zuken
Power Integrity in Reality:
2.5 V PDS Impedance for the Xilinx Spartan3

Target impedance: 0.039
Ohm (=limit voltage ripple
to +/- 5 %)

 Computation time to
get these figures?



Minimum at
66 MHz – intended,
or at least known?




                             Resonances at 33MhZ and 990 MHz  a problem?
                             Is a modification of the decoupling scheme or a shift of these
28
                             resonances needed?
                                                                                              © Zuken
There are more voltages to supply…
12 Layer Design  Task: Optimization of PDS                           Capacitance between the layer
                                                                                                       +2.5V
                                                                      + 2.5 V and GND 0.47 nF
Capacitance between the layer + 1.2 V and GND 0.48 nF

                                              +1.2V




                                                                      Impact of Decaps
     Impact of Decaps




                                                         plane area
                                                                                                               plane area
                                       decaps
                                                                                                      decaps
29
                                                                                                                    © Zuken
Results: Different Power Trace Length



                                     28 mm                          28 mm      165 mm
             28 mm

                                                86 mm




                             35 mm




                                                            35 mm
                     25 mm
     35 mm




                     track
                                     plane
             plane                                                  plane
                                                    track


                                                                                track




30   Length 25 mm                    Length 86 mm                      Length 165 mm
                                                                                        © Zuken
DC Case:
+1.8V-GND on Virtex5 Design – DC Voltages




                                            Voltage Distribution
                                            Max. Voltage Drop: 32mV




31
                                                             © Zuken
Summary

Power integrity analysis early in the design flow can save cost and
improve quality

• Early detection of issues in power distribution systems

• Verify effectiveness of decoupling capacitors

• Confirm quality of voltage and current distribution to avoid voltage
  drops




32
                                                                      © Zuken
The Partner for Success




                          © Zuken

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Improve PCB Quality and Cost with Concurrent Power Integrity Analysis

  • 1. Improve PCB Quality and Cost with Concurrent Power Integrity Analysis Ralf Brüning, Product Manager High-Speed Design Solutions/Senior Partner Humair Mandavia, Senior Technical Marketing Manager
  • 2. Agenda • Increasing challenges with power distribution systems on modern high-speed PCBs • The problem: – IC input impedance behavior – Resonance behavior of PDS – Role of decoupling capacitors • EDA methodology for concurrent power integrity simulation throughout PCB design process • Summary/Outlook PCB Design Problems PCB Design Problems 2 © Zuken
  • 4. Power Distribution Systems DC Voltages are not equally distributed and not considered ideal over copper planes 3.27V 3.3V 3.25V Loads Voltage Source Example: 3.3V Power Distribution System “Voltage drops” occur on the copper area and within the vias 4 © Zuken
  • 5. Basic Electrical Concepts I V • Resistors dissipate energy – Resistance = Voltage / Current (R = V / I) R – Voltage = Current  Resistance (V = I  R) I • Capacitors store energy in an electric field VV V – Charge = Capacitance  Voltage (q = CV) + C – Current (q / time) = C  (V / t) (I = C  V / t) – Power plane over ground plane is a great capacitor! I / t V • Inductors store energy in a magnetic field + – Voltage = Inductance  (I / t) (V = L  I / t) L – Oppose current changes with a voltage – Inductive kick: pull the plug on a vacuum cleaner when it’s running! 5 © Zuken
  • 6. Voltage Supply for ICs: Power Distribution System (PDS) • The power distribution system (PDS) will provide voltages and charge to the ICs on a PCB • Charge on the board must be supplied over a broad frequency range: - Low frequency activities (we still have them) - In MHz range for CPU-peripheral interfaces - At the clock frequency (several hundreds of MHz) - Provide a low impedance path for parasitic voltages at various harmonics of the clock 6 © Zuken
  • 7. Power Plane Resonances Impedance Behavior • Power Plane Pair input impedance vs. frequency shows varied behavior in different ranges: Capacitive behavior (“DC”) Z=1/jC 2D-Resonances Continue to infinity… LC-Series resonance of the Inductive plate capacitor behavior of the with the plane’s plane inductance Local dependency of Plane Impedance 7 © Zuken
  • 8. Power Plane Pairs Concerns • Power plane pairs are used to provide the switching current to the ICs in a higher frequency range where decoupling capacitors cannot work effectively (f>20-50 MHz). • A constant low impedance is required in a wide frequency range between the fundamental clock frequency f0 of the ICs and several 10x harmonics of f0 • Resonances cause significantly higher impedances!  If one or more harmonics of f0 coincide with a plane’s resonance frequency, the IC’s function may fail! f0 Local dependency of Plane Impedance 8 © Zuken
  • 9. When Integrated Circuits Switch …. TTL Inverter VCC R1 R2 Q1 Q4 Q 3 D1 V(t) Q 2 + - Last R3 GND Input Intern Output • They need charge. 1.8V • Voltage has to be delivered (for reaching logic levels). VH • A switching current will occur! VL GND Relation between voltage & current?  Ohm’s law 9 © Zuken
  • 10. Power Integrity in Reality Proper Power Supply of a Large FPGA A Xilinx FPGA with 456 pins: • Controls a video grabber card • 64 bits can switch in parallel (worst case, with a rise time of 750ps) • Output pin drives into a load of 15pf The maximum switching current can be determined by: Vcc 2.5V I  n * C *  64 *15 pf  3.2 A t 0.75ns Based on this maximum current, the impedance limit to guarantee a ripple of less than 125 mV (5% of 2.5 V) : U 125mV Z   0.039 I 3.2 A 10 © Zuken
  • 11. Power Integrity: Switching Current • IC Switching current depends on: - Number of active outputs - Activity state - Driver rise and fall times TTL Inverter VCC - Clock frequencies - Load conditions R1 R2 Q1 Q4 Q 3 D1 V(t) Q 2 + - Last R3 GND Input Intern Output 11 © Zuken
  • 12. Example: Ztarget of a Freescale Power-PC Area to be determined by PCB design Picture © Freescale Table © Freescale 12 © Zuken
  • 13. PCB Design Process Changing Traditional design flow to address power integrity issues Conceptual Test Schematic Placement Layout Prototyping Design Measurements Design flow with power integrity analysis during layout Concurrent PI Simulation Conceptual Test Schematic Placement Layout Prototyping Design Measurements 13 © Zuken
  • 14. Common Management of Power Integrity Decoupling Capacitors (DeCaps): • Often used on “per default” basis (eg.; each IC) • Values are based on past experience or design guidelines (eg.; 47nF, 100nF,…) • Decision drivers are typically “rules of thumb” or “fear-decouplers” • Connection between ICs and power-planes using discrete components and long traces usually result in: – Parasitic inductances – Parallel connection in series to GND  very high impedance and parallel capacitor circuit – Outcome: ‒ Efficiency is reduced (can be narrowed down to zero) ‒ Low-pass filters with low resonance frequencies (LC-Resonance) ‒ Current loops  EMC antennas Vdd Ground 14 © Zuken
  • 15. Parasitic Inductance of DeCaps The following inductance should be taken into account for PI consideration: • Connecting traces (rule of thumb: ~1nH per mm) • ESL of the DeCap (Package) • Inductance of the PDS (eg,; Vcc/GND) • 2 x Via-Inductance, which can be calculated by hand as follows: With:   4h   LVia  2h ln    1 h = PCB-thickness resp. Via-length  d   and: d = Via-diameter IC Decap Vcc GND 15 Source: Johnson & Graham’s : A Handbook of Black Magic © Zuken
  • 16. Real Capacitors Equivalent Circuit C L ESR Capacitor Z Resonance frequency of a capacitor fres  1 / 2 L  C ESR fres1 fres2 log f C=10nF, L= 25nH (including trace)  f res  10 MHz C=10nF, L= 2.5nH (SMD-Pads)  f res  33 MHz 16 © Zuken
  • 17. Decoupling Capacitors and Resonances 17 © Zuken
  • 18. Decoupling Capacitors: Design Rules Distance of decoupling capacitor to IC pin: - Investigation of the influence of distance d between IC (source) and a decoupling capacitor DeCap d Source 18 © Zuken
  • 19. Decoupling Capacitors: Design Rules Distance of DeCaps to IC Pin:  Distance d has significant influence on efficiency and resonance behavior, but not in the high frequency range (where DeCaps are not effective at all). Pure Plane d=2mm d=5cm d=10cm d 19 © Zuken
  • 20. Decoupling Capacitors: Design Rules • Does more DeCaps result in improved resonance behavior? - Distance = 2cm, up to 4 DeCaps at 10nF Port2 DeCaps Source 20 © Zuken
  • 21. Decoupling Capacitors: Design Rules • Variation of the number of the DeCaps – Identical DeCaps with identical connection • Consequence: Number of DeCaps have limited impact in quality and quantity (resonance in frequency point and magnitude) but there is no general rule  more does not always mean better Pure Plane 1 Decap 2 Decaps 3 Decaps 4 Decaps 21 © Zuken
  • 22. Application: Decoupling Analysis & What If DeCap potentially not effective ? Change Value within Lightning from 470p to 100N  Quick What-If 22 © Zuken
  • 23. Application: Effectiveness of Decoupling • Impedance distribution at target frequencies show impact of decoupling capacitors • Indicate quality of placement location, value and connection inductance • Placement or connection can be changed on the fly in Lightning for what if capabilities 23 © Zuken
  • 24. Application: DDR2 Power Supply Symetrical modules, with different Power/GND connection 35Ohm @550MHz D1 V1 D1 D2 11Ohm @650MHz V1 V2 D2 V2 better 24 © Zuken
  • 25. Application: Plate Capacitance of PDS Plate capacitance should be considered for power and ground plane overlaps 25 © Zuken
  • 26. Application: Decoupling Capacitor Connection  Inductance Effect • Automotive Motor Control Unit – Changed connection strategy reduces inductance from 16nH to 7.5nH 26 © Zuken
  • 27. Application: Changing PWR/GND Shapes to Improve PDN Behavior Motor Control Unit – Increased PDS shapes and better connection of decoupling capacitors allows reduction in the number of decoupling capacitors by 40%  saving PCB and manufacturing costs. 27 © Zuken
  • 28. Power Integrity in Reality: 2.5 V PDS Impedance for the Xilinx Spartan3 Target impedance: 0.039 Ohm (=limit voltage ripple to +/- 5 %)  Computation time to get these figures? Minimum at 66 MHz – intended, or at least known? Resonances at 33MhZ and 990 MHz  a problem? Is a modification of the decoupling scheme or a shift of these 28 resonances needed? © Zuken
  • 29. There are more voltages to supply… 12 Layer Design  Task: Optimization of PDS Capacitance between the layer +2.5V + 2.5 V and GND 0.47 nF Capacitance between the layer + 1.2 V and GND 0.48 nF +1.2V Impact of Decaps Impact of Decaps plane area plane area decaps decaps 29 © Zuken
  • 30. Results: Different Power Trace Length 28 mm 28 mm 165 mm 28 mm 86 mm 35 mm 35 mm 25 mm 35 mm track plane plane plane track track 30 Length 25 mm Length 86 mm Length 165 mm © Zuken
  • 31. DC Case: +1.8V-GND on Virtex5 Design – DC Voltages Voltage Distribution Max. Voltage Drop: 32mV 31 © Zuken
  • 32. Summary Power integrity analysis early in the design flow can save cost and improve quality • Early detection of issues in power distribution systems • Verify effectiveness of decoupling capacitors • Confirm quality of voltage and current distribution to avoid voltage drops 32 © Zuken
  • 33. The Partner for Success © Zuken