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Towards Uniformity of DC
Voltage Metrology within SIM
                                        Yi-hua Tang
              Quantum Electrical Metrology Division
     National Institute of Standards and Technology
                             Gaithersburg, MD 20899




                                                      VIII SEMETRO
Outline
DC voltage metrology status within SIM
JVS Comparison
  MAP
  Indirect comparison
  Direct comparison
Summary
Future perspective



                                     VIII SEMETRO
Lab / Country   No. of JVS
NIST / USA            4 (20)
NRC / Canada            1
CENAM / Mexico          1
INMETRO / Brazil        1
INTI / Argentina        1




                                 VIII SEMETRO
Principle of JVS

                V = nf / KJ-90
f: frequency
KJ-90 = 2e/h = 483 597.9 GHz/V Josephson constant
n: integer

        BIPM.EM-K10.a       JVS at 1.018V
        BIPM.EM-K10.b       JVS at 10 V
        BIPM.EM-K11.b       Zener at 10 V
        SIM.EM.BIPM-K11.a   Zener at 1.018 V
        SIM.EM.BIPM-K11.b   Zener at 10 V
        SIM.EM.BIPM-K10.b   JVS at 10V


                                                    VIII SEMETRO
MAP Example 1: NIST-BIPM JVS comparison at 10 V

                                  3 system comparison:
                                  BIPM
                                  NIST-Gaithersburg
                                  NIST-Boulder
                                  Oct. 1998 – Jan. 1999
                                  BIPM.EM-K11.b




  Pressure corrections applied.

                                                          VIII SEMETRO
Results of BIPM.EM-K11.b


                        d (μV)           uc (μV)
                                         (k = 1)
NIST(G) - BIPM           0.26             0.14

NIST(B) - BIPM           0.22             0.17

NIST(G) – NIST(B)        0.04             0.13


       Uncertainty: 1 - 2 parts in 108




                                                   VIII SEMETRO
INMETRO JVS system
  Established in 1998




                        VIII SEMETRO
INMETRO-NIST JVS Comparison at 1.018V
                                          Sept. to Oct. 1999
                                          Protocol: MAP
                                                                                          SIM.EM.BIPM-K11.a
                                                                                                                                                                                   Z6
                                           Z3                                          INMETRO                                                                        92.6
                            97.6
                                                                                       NIST
                                                                                       Linear (INMETRO)                                                               92.5




                                                                                                                                            Offset from 1.018V (μV)
                            97.5
  Offset from 1.018V (μV)




                                                                                                                                                                      92.4
                            97.4
                                                                                                                                                                                                                           INMETRO
                                                                                                                                                                      92.3                                                 NIST
                            97.3
                                                                                                                                                                                                                           Linear (INMETRO)
                                                                                                                                                                      92.2
                            97.2
                                                        y = -0.00565391x + 295.00550325                                                                                                                                 y = 0.01066458x - 280.46730707
                                                                                                                                                                      92.1
                            97.1
                                                                                                                                                                             9/3    9/8    9/13    9/18   9/23   9/28        10/3      10/8      10/13
                                   9/3     9/8   9/13       9/18      9/23     9/28       10/3   10/8     10/13
                                                                                                                                                                                                          Date
                                                                     Date




                                          Z5                                           INMETRO
                                                                                                                                                                                     Z7
                            126.6                                                                                                           114.5                                                                         INMETRO
                                                                                       NIST                                                                                                                               NIST
                                                                                       Linear (INMETRO)                                                                                                                   Linear (INMETRO)
                            126.4                                                                                                           114.4
                                                                                                                  Offset from 1.018V (μV)
Offset from 1.018V (μV)




                            126.2                                                                                                           114.3



                            126.0                                                                                                           114.2



                            125.8                                                                                                           114.1

                                                            y = -0.02007355x + 827.94375914                                                                                                                               y = 0.00224443x + 35.74730979
                            125.6                                                                                                           114.0
                                    9/3    9/8   9/13        9/18     9/23      9/28      10/3    10/8    10/13                                                         9/3        9/8    9/13    9/18    9/23   9/28        10/3      10/8      10/13
                                                                      Date                                                                                                                                Date




                                                                                                                                                                                                                                                          VIII SEMETRO
∑ [(Vi (predict) − Vi (NIST )]
Δ(INMETRO − NIST ) =             13
                                                    13
                               Z3             Z5         Z6             Z7

INMETRO - NIST               0.023       0.052         0.001         0.013


         Mean( INMETRO − NIST ) = 0.022 μV

                                          INMETRO − NIST 2
  uc = 2 (uINMETRO ) + (u NIST ) + ( 3.18 u            ) + (u INMETRO, NIST )
                    2           2                                               2
           A              A           2 B                     B



  Source                                               Uncertainty (μV)
  Pooled Type A of INMETRO, uAINMETRO                          0.003
  Pooled Type A of NIST, uANIST                                0.006
  Standard deviation of mean of four                           0.011
  Zener differences uBINMETRO -NIST
  Type B uncertainty from INMETRO and NIST JVS                  0.016
  systems, uBINMETRO, NIST
  Expanded uncertainty (k = 2)                                  0.049

                                                                                    VIII SEMETRO
Question: Is MAP good enough for JVS comparison?
Answer: No
Why?
1. JVS uncertainty: few parts in 1010
   MAP uncertainty: few parts in 108
2. Uncertainty using MAP limited by Zener characteristics
     Environmental effects
      • Pressure
      • Temperature
      • Relative humidity
     Zener intrinsic noise
     Shipping impact



                                                      VIII SEMETRO
Question: How can we improve the situation?
Answer: Develop a transportable JVS




                                              8.5”
   Net weight: 50 lb
   Gross weight: 120 lb


                                              VIII SEMETRO
NIST-CENAM SIM.EM.BIPM-K11.b
NIST CJVS in CEMETRO, March 2006




                                   VIII SEMETRO
Yi-hua Tang   Enrique Navarrete   Dionisio Hernández   David Avilés


                                                                      VIII SEMETRO
Results of NIST-CENAM SIM.EM.BIPM-K11.b




No pressure correction needed.

                                          VIII SEMETRO
To establish a link between CENAM and BIPM


     DCENAM-BIPM = (dNIST-BIPM + dCENAM-NIST)

   UCENAM-BIPM = (UNIST-BIPM2 + UCENAM-NIST 2)1/2


                       d (μV)         uc (μV)

  CENAM - NIST         -0.035         0.043

  NIST - BIPM           0.26           0.28

  CENAM - BIPM          0.23           0.28



                                                    VIII SEMETRO
VIII SEMETRO
Question: Is indirect JVS comparison good enough?
Answer: No
Why?
JVS uncertainty: few parts in 1010
Indirect JVS comparison uncertainty: few parts in 109
Uncertainty limited by Zener noise

  Environmental effects
 • Pressure
 • Temperature
 • Relative humidity
  Zener intrinsic noise
  Shipping impact


                                                        VIII SEMETRO
Question: How can we improve the situation?
Answer: Do not use Zener as transfer standards.
        Make direct JVS comparison.
Protocol: BIPM JVS comparison Option a;
          BIPM JVS comparison Option b;
          Alternative protocols




                                                  VIII SEMETRO
An alternative protocol




Step 1            Step 2




Step 3             Step 4
                                   VIII SEMETRO
NIST-NRC SIM.EM.BIPM-K10.b
          NIST CJVS at NRC August 2007




Barry Wood of NRC
                                         VIII SEMETRO
VIII SEMETRO
Link between NIST and BIPM via NRC




                                     VIII SEMETRO
NIST-BIPM JVS comparison BIPM.EM-K10.b

                                      BIPM protocol Option B
                          11


                           9


                           7


                           5


                           3                                                       #1 to #5
U (NIST) - U (BIPM) /nV




                                                                                   #6 to #8
                           1                                                       #9 to #10
                                                                                   #11 to #15
                                                                                   #16 to #25
                           -1 0   5   10   15        20        25   30   35   40
                                                                                   #26 to #30
                                                                                   #31
                           -3                                                      #32 to #37


                           -5


                           -7


                           -9


                          -11
                                                Meas. number




                                                                                                VIII SEMETRO
Histogram of the JVS comparison
       BIPM protocol Option B




                                  VIII SEMETRO
NIST-BIPM JVS comparison BIPM.EM-K10.b

                                     BIPM protocol Option A
                           12


                           10


                            8


                            6


                            4
U (NIST) - U (BIPM) / nV




                            2


                            0
                                 0    5        10                  15                20

                            -2


                            -4


                            -6


                            -8


                           -10
                                                                        #1 to #11
                                                    Measurements
                                                                        #12 to #22




                                                                                          VIII SEMETRO
U (NIST) – U (BIPM) / nV

                               Option B            Option A
                            Measured by NIST   Measured by BIPM

Difference (nV)                  -0.074             -1.53

Type A (nV)                       0.68               0.75

Type B (nV)                       0.93               0.77

Combined uncertainty (nV)         1.15               1.07




                                                                  VIII SEMETRO
Direct link between NIST and BIPM




                                    VIII SEMETRO
BIPM JVS in NIST March 2009




                              VIII SEMETRO
Yi-hua Tang   Stephane Solve   Regis Chayramy



                                                VIII SEMETRO
Automatic JVS direct comparison

Model of NIST protocol

Vd = Va1 – Va2 = (N1 f1 – N2 f2) / KJ-90

Vd - Vm = Vo + mt + Vn + δ

δ = Vd – Vm – Vo – mt – Vn




                                           VIII SEMETRO
Automatic JVS direct comparison




                                  VIII SEMETRO
Example: automatic comparison
             nominal voltage: 9.997 V




217 points in 14 h.        U (NIST) – U (BIPM) / nV   ua / nV
                                    0.02               0.24


                                                                VIII SEMETRO
BIPM.EM-K10.a             Summary
BIPM.EM-K10.b
BIPM.EM-K11.b
SIM.EM.BIPM-K11.b
SIM.EM.BIPM-K10.b
Not listed in BIPM KCDB




                                    VIII SEMETRO
Comparison of various protocols

                     MAP         CJVS        JVS vs. JVS     PJVS vs. PJVS
                  (Indirect)   (Indirect)      (Direct)         (Future)
Voltage range     Up to 10 V   Up to 10 V     Up to 10 V       Up to 10 V

 Uncertainty       2 x 10-8     2 x 10-9     1 - 7 x 10-10    parts x 10-11

Limiting factor     Zener        Zener       Null detector   Null detector
                               (1/f noise)
Time needed        Weeks         Days           Hours            Hours

   Expense          Low          High            High        Potentially low




                                                                         VIII SEMETRO
Future perspective


      Coming soon: new 10 V PJVS
Expected uncertainty: few parts in 1011 at 10 V

 Detection of small system error is possible




                                            VIII SEMETRO

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Towards Uniformity of DC Voltage Metrology within SIM

  • 1. Towards Uniformity of DC Voltage Metrology within SIM Yi-hua Tang Quantum Electrical Metrology Division National Institute of Standards and Technology Gaithersburg, MD 20899 VIII SEMETRO
  • 2. Outline DC voltage metrology status within SIM JVS Comparison MAP Indirect comparison Direct comparison Summary Future perspective VIII SEMETRO
  • 3. Lab / Country No. of JVS NIST / USA 4 (20) NRC / Canada 1 CENAM / Mexico 1 INMETRO / Brazil 1 INTI / Argentina 1 VIII SEMETRO
  • 4. Principle of JVS V = nf / KJ-90 f: frequency KJ-90 = 2e/h = 483 597.9 GHz/V Josephson constant n: integer BIPM.EM-K10.a JVS at 1.018V BIPM.EM-K10.b JVS at 10 V BIPM.EM-K11.b Zener at 10 V SIM.EM.BIPM-K11.a Zener at 1.018 V SIM.EM.BIPM-K11.b Zener at 10 V SIM.EM.BIPM-K10.b JVS at 10V VIII SEMETRO
  • 5. MAP Example 1: NIST-BIPM JVS comparison at 10 V 3 system comparison: BIPM NIST-Gaithersburg NIST-Boulder Oct. 1998 – Jan. 1999 BIPM.EM-K11.b Pressure corrections applied. VIII SEMETRO
  • 6. Results of BIPM.EM-K11.b d (μV) uc (μV) (k = 1) NIST(G) - BIPM 0.26 0.14 NIST(B) - BIPM 0.22 0.17 NIST(G) – NIST(B) 0.04 0.13 Uncertainty: 1 - 2 parts in 108 VIII SEMETRO
  • 7. INMETRO JVS system Established in 1998 VIII SEMETRO
  • 8. INMETRO-NIST JVS Comparison at 1.018V Sept. to Oct. 1999 Protocol: MAP SIM.EM.BIPM-K11.a Z6 Z3 INMETRO 92.6 97.6 NIST Linear (INMETRO) 92.5 Offset from 1.018V (μV) 97.5 Offset from 1.018V (μV) 92.4 97.4 INMETRO 92.3 NIST 97.3 Linear (INMETRO) 92.2 97.2 y = -0.00565391x + 295.00550325 y = 0.01066458x - 280.46730707 92.1 97.1 9/3 9/8 9/13 9/18 9/23 9/28 10/3 10/8 10/13 9/3 9/8 9/13 9/18 9/23 9/28 10/3 10/8 10/13 Date Date Z5 INMETRO Z7 126.6 114.5 INMETRO NIST NIST Linear (INMETRO) Linear (INMETRO) 126.4 114.4 Offset from 1.018V (μV) Offset from 1.018V (μV) 126.2 114.3 126.0 114.2 125.8 114.1 y = -0.02007355x + 827.94375914 y = 0.00224443x + 35.74730979 125.6 114.0 9/3 9/8 9/13 9/18 9/23 9/28 10/3 10/8 10/13 9/3 9/8 9/13 9/18 9/23 9/28 10/3 10/8 10/13 Date Date VIII SEMETRO
  • 9. ∑ [(Vi (predict) − Vi (NIST )] Δ(INMETRO − NIST ) = 13 13 Z3 Z5 Z6 Z7 INMETRO - NIST 0.023 0.052 0.001 0.013 Mean( INMETRO − NIST ) = 0.022 μV INMETRO − NIST 2 uc = 2 (uINMETRO ) + (u NIST ) + ( 3.18 u ) + (u INMETRO, NIST ) 2 2 2 A A 2 B B Source Uncertainty (μV) Pooled Type A of INMETRO, uAINMETRO 0.003 Pooled Type A of NIST, uANIST 0.006 Standard deviation of mean of four 0.011 Zener differences uBINMETRO -NIST Type B uncertainty from INMETRO and NIST JVS 0.016 systems, uBINMETRO, NIST Expanded uncertainty (k = 2) 0.049 VIII SEMETRO
  • 10. Question: Is MAP good enough for JVS comparison? Answer: No Why? 1. JVS uncertainty: few parts in 1010 MAP uncertainty: few parts in 108 2. Uncertainty using MAP limited by Zener characteristics Environmental effects • Pressure • Temperature • Relative humidity Zener intrinsic noise Shipping impact VIII SEMETRO
  • 11. Question: How can we improve the situation? Answer: Develop a transportable JVS 8.5” Net weight: 50 lb Gross weight: 120 lb VIII SEMETRO
  • 12. NIST-CENAM SIM.EM.BIPM-K11.b NIST CJVS in CEMETRO, March 2006 VIII SEMETRO
  • 13. Yi-hua Tang Enrique Navarrete Dionisio Hernández David Avilés VIII SEMETRO
  • 14. Results of NIST-CENAM SIM.EM.BIPM-K11.b No pressure correction needed. VIII SEMETRO
  • 15. To establish a link between CENAM and BIPM DCENAM-BIPM = (dNIST-BIPM + dCENAM-NIST) UCENAM-BIPM = (UNIST-BIPM2 + UCENAM-NIST 2)1/2 d (μV) uc (μV) CENAM - NIST -0.035 0.043 NIST - BIPM 0.26 0.28 CENAM - BIPM 0.23 0.28 VIII SEMETRO
  • 17. Question: Is indirect JVS comparison good enough? Answer: No Why? JVS uncertainty: few parts in 1010 Indirect JVS comparison uncertainty: few parts in 109 Uncertainty limited by Zener noise Environmental effects • Pressure • Temperature • Relative humidity Zener intrinsic noise Shipping impact VIII SEMETRO
  • 18. Question: How can we improve the situation? Answer: Do not use Zener as transfer standards. Make direct JVS comparison. Protocol: BIPM JVS comparison Option a; BIPM JVS comparison Option b; Alternative protocols VIII SEMETRO
  • 19. An alternative protocol Step 1 Step 2 Step 3 Step 4 VIII SEMETRO
  • 20. NIST-NRC SIM.EM.BIPM-K10.b NIST CJVS at NRC August 2007 Barry Wood of NRC VIII SEMETRO
  • 22. Link between NIST and BIPM via NRC VIII SEMETRO
  • 23. NIST-BIPM JVS comparison BIPM.EM-K10.b BIPM protocol Option B 11 9 7 5 3 #1 to #5 U (NIST) - U (BIPM) /nV #6 to #8 1 #9 to #10 #11 to #15 #16 to #25 -1 0 5 10 15 20 25 30 35 40 #26 to #30 #31 -3 #32 to #37 -5 -7 -9 -11 Meas. number VIII SEMETRO
  • 24. Histogram of the JVS comparison BIPM protocol Option B VIII SEMETRO
  • 25. NIST-BIPM JVS comparison BIPM.EM-K10.b BIPM protocol Option A 12 10 8 6 4 U (NIST) - U (BIPM) / nV 2 0 0 5 10 15 20 -2 -4 -6 -8 -10 #1 to #11 Measurements #12 to #22 VIII SEMETRO
  • 26. U (NIST) – U (BIPM) / nV Option B Option A Measured by NIST Measured by BIPM Difference (nV) -0.074 -1.53 Type A (nV) 0.68 0.75 Type B (nV) 0.93 0.77 Combined uncertainty (nV) 1.15 1.07 VIII SEMETRO
  • 27. Direct link between NIST and BIPM VIII SEMETRO
  • 28. BIPM JVS in NIST March 2009 VIII SEMETRO
  • 29. Yi-hua Tang Stephane Solve Regis Chayramy VIII SEMETRO
  • 30. Automatic JVS direct comparison Model of NIST protocol Vd = Va1 – Va2 = (N1 f1 – N2 f2) / KJ-90 Vd - Vm = Vo + mt + Vn + δ δ = Vd – Vm – Vo – mt – Vn VIII SEMETRO
  • 31. Automatic JVS direct comparison VIII SEMETRO
  • 32. Example: automatic comparison nominal voltage: 9.997 V 217 points in 14 h. U (NIST) – U (BIPM) / nV ua / nV 0.02 0.24 VIII SEMETRO
  • 33. BIPM.EM-K10.a Summary BIPM.EM-K10.b BIPM.EM-K11.b SIM.EM.BIPM-K11.b SIM.EM.BIPM-K10.b Not listed in BIPM KCDB VIII SEMETRO
  • 34. Comparison of various protocols MAP CJVS JVS vs. JVS PJVS vs. PJVS (Indirect) (Indirect) (Direct) (Future) Voltage range Up to 10 V Up to 10 V Up to 10 V Up to 10 V Uncertainty 2 x 10-8 2 x 10-9 1 - 7 x 10-10 parts x 10-11 Limiting factor Zener Zener Null detector Null detector (1/f noise) Time needed Weeks Days Hours Hours Expense Low High High Potentially low VIII SEMETRO
  • 35. Future perspective Coming soon: new 10 V PJVS Expected uncertainty: few parts in 1011 at 10 V Detection of small system error is possible VIII SEMETRO