From: Paul
Date: Mon, 28 Aug 2000 01:50:33 +0100
Subject: [TSSP] New results shed light on input impedance discrepancies
Results on: BIG LTR Coil 45 Inch High Toroid http://63.225.104.218/test/TeslaCoils/MyCoils/BigCoil/BigCoil.htm Many thanks to Terry Fritz for providing a set of measurements on a coil set up in a well defined environment. Using the Nagaoka inductance 76.45mH to normalise Mpt: Measured Model Error 97.87 95.9 -2.0% 321.40 314.7 -1.9% 490.16 479.2 -2.2% which, as expected, are a little low. Terry thoughtfully mentioned an inductance shift due to ground plane proximity, and using measured in-situ 74.1mH instead of Nagaoka, the model predicts: Measured Model Error 97.87 97.36 -0.5% 321.40 319.7 -0.5% 490.16 486.7 -0.7% Input impedance (fiddle factor W set at 0.5): Measured Model Error f1 408 ohms 180 ohms -56% interestingly, compare with other coils: my large coil: Measured Model Error f1 120 ohms 68 ohms -43% my 30kW CW coil f1 130 ohms 52 ohms -60% my small coil suggests that W should be doubled, ie set to one, ie removed, ie one less fiddle factor. (W was set to 0.5 to calibrate the model to Thor's Q factor. Maybe there is something wrong with Marco's Q measurement? I hope there's a mistake in the stored energy calculation, if its under-calculated by a factor of 2, then everybodys measurements are compatible.) Definately need more input impedance and Q factor measurements. With a score of 3:1 in favour of unity W, I'll prepare v0.2d software with W=1 and recompute all the coils. A final recompute, with W=1 and using Terry's measured 74.1mH, Frequencies remain as above, now input impedance is Measured Model Error f1 408 ohms 368 ohms -10% but the Q estimated is a miserable 57. I suspect it should be about double this. Terry, can you measure your Q factor? Discrepancies: A couple of glitches in the external cap matrix, laplace solver aliasing problem. Medhurst tables give 15.6pF, cap matrix says it should be 11.7pF, 25% out - its usually nearer than that. However, our figure 11.7pF + top load 25.4pF gives correct f1 in the lumped LC model. Data (based on final run with W=1, Lcoil=74.1mH): See http://www.abelian.demon.co.uk/tssp-data/tfltr45/ Files are (in CSV format for Terry running windows): tfltr45.internal-caps.csv: internal caps matrix, pF, 32 segments tfltr45.external-caps.csv: external caps matrix, pF, 32 segments tfltr45.vi97360.csv: VI records at f1. tfltr45.vi97360.gif: VI plot at f1. General info: simulator version: v0.2d, 28th August 2000 system: tfltr45 LCR Sections 1000, Capacitance segments 32 Coil turns: 1000, resistance: 69.87 Coil radius: 0.130, length: 0.762 Conductor radius: 0.255 mm Spacing ratio: 0.670 Top loading capacitance: 25.42pF Weighted internal toroid cap to coil: 5.74pF Weighted external coil cap to gnd: 8.49pF Weighted internal coil cap: 3.16pF Medhurst C should be: 11.65pF Standard Ln: 1.075uH Quoted inductance: 74.10mH Lundin inductance: 76.45mH using quoted inductance chose sigma for Mpt: 1345.91 mid coil turn: 79.86uH end coil turn: 41.10uH Regards All. -- Paul Nicholson, Manchester, UK. --
Maintainer Paul Nicholson, paul@abelian.demon.co.uk.