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Rogowski Design Sensitivity Tests. Stefan Gerhardt, Larry Guttadora. Formulas For the Ideal Rogowski. Basic Formula. For Sinusoidal Variation. Figure of Merit should be: Independent of Frequency Purely Determined by Geometry. As Built. a=30 turns/inch=1181turns/m
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Rogowski Design Sensitivity Tests Stefan Gerhardt, Larry Guttadora
Formulas For the Ideal Rogowski Basic Formula For Sinusoidal Variation Figure of Merit should be: Independent of Frequency Purely Determined by Geometry As Built a=30 turns/inch=1181turns/m A=(/4)(5/16”+.033)2= (/4)(.0087)2=5.9x10-5 m2 Figure of Merit: 5.6x10-7 V/A/Hz nA0=8.8x10-8 (Vsec/A)
Test Jig #1 Ends close to closed, but not perfect here 10 Turns Linked By Rogowski Current Measured by Pearson Coil
Test Jig #2 100 Turns Linked By Rogowski Current Measured by Pearson Coil
Figure of Merit: Jig #1 Error Bars Large Due to Small Output Voltage at low frequency, Consistent with flat response. Blue and Black for two different scans Ideal value Rolls off above 10kHz
Combined Results • Good agreement with expected sensitivity • Flat response from 40 to 10000 Hz • Vacuum vessel cuts off above 1kHz. (?)
Example of Signal Levels in NCSX 200kA plasma, want to accurately measure 1% of that Need to accurately resolve 2000 Amps Assume (for concreteness) the same hardware as NSTX Rogowskis * Integrator: selectable RC values of 1 to 100 msec (7 increments) * Digitizer: 12 bits, 5V, 2.5mV bit noise Pick RC so that 300kA5V How Big is 1 Bit?
Conclusion Design is Sound From the “Physics” Perspective