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Audio Engineering

by: Cassidy Effertz
Cassidy Effertz

GPA 3.64

William Leach

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About this Document

William Leach
Class Notes
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This 0 page Class Notes was uploaded by Cassidy Effertz on Monday November 2, 2015. The Class Notes belongs to ECE 4445 at Georgia Institute of Technology - Main Campus taught by William Leach in Fall. Since its upload, it has received 11 views. For similar materials see /class/233861/ece-4445-georgia-institute-of-technology-main-campus in ELECTRICAL AND COMPUTER ENGINEERING at Georgia Institute of Technology - Main Campus.



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Date Created: 11/02/15
Example Mathcad sheet for extracting the parameters of the lossy voicecoil inductance Data READPRNquotem10resppmquot Reads the text file em10respprn Datan 0 is the frequency Datan 1 is the real part 3f the series impedance Datan2 is the imaginary 378788427218ilerdzfgii tzm 145691 1447484 to 61 2387734 1559986 3550693 67749 3410189 989821 2317333 1643802 1551733 1539501 971677 1093851 855592 935664 744207 727267 667066 559601 636234 419354 629414 345341 678455 162272 787926 837344 RE5078 fsz35178 RES32034 QMsz2796 1 V j vf Z excx is the impedance of RE plus the QMS fs impedance due to Blu It is to be ZexcfRERES39 D f 2 1 J Vf subtracted from the measured impedance 1 39 to obtain only the impedance of the lossy fS Q MS fS voicecoil inductance R axed ReltZ mm X axed Imz mm Now forthe plots ofthe real and imaginary parts ofthe measured impedance and the impedance t after Z axed is subtracted ou 11 10 61 Data 1 R exc Dawn 0 20 Data 2 X exc Dawn 0 Data 1 R E Data 2 0 10 100 1551793 0 1104 1105 7 Note that the subtraction is not perfect in the region about 5 We will only use the data above 1 kHz to calculate the lossy inductance parameters n 35 61 These are the values of n to use the data from 1 kHz to 20 kHz Rsn 1 is the real part ofthe series impedance and Xsn 2 is the imaginary part of the series impedance Rs Data R n1 n 1 excltData yo Xsm2 Datany X 2 exc Datany 0 an 1 is the real part ofthe parallel impedance and Xpn 2 is the imaginary part of the parallel impedance Xp Xs an1RSn1 RS n2 n2 XS Now for loglog plots to see ifthese fall on a straight line The lines look straight except for a glitch in the real part Next we perform a linear regression analysis for the curve fits to the real and imaginary parts of the series and parallel impedances Rpm is for the real part ofthe parallel impedance Xpm is for the imaginary part ofthe parallel impedance m 20 26 Note that m35 goes from 35 to 61 The start value of m must be 0 forthe linear regression analysis to work fm logDatam3570 Am logRpm35yl Bm logXpm3572 nr1slopef A nr 065264 nX1slopefB nX 069688 interA intercept f A interA 061713 interB intercept f B interB 105847 1OinterA 1OinterB R e X e l1 n r X 21 21 The following are the approximating functions Rpar approximates the resistive part ofthe parallel impedance Xpar approximates the reactive part of the parallel impedance x is the frequency in Hertz RpaIX Rev2vnvxnr Xparx Xev2vrvxnx Now for a plot ofthe approximating functions and the measured data on the same graph 2 5 I I I I I I log Rpm 1 Note that the measured and the approximating functions fall on top of each other The circles are the measured values The real part approximating function goes smoothly through the glitch Now to check to see how well the overall impedance is approximated To do this we must add the excess impedance to that of the lossy voicecoil inductance n 0 61 Zma Data 2 Data 2 gn39 lt n71 n72 Magnitude of measured impedance 180 Dt 39Dta Ph f d39 d measn Tvarglt aan71J v a 72 aseo measure Impe ance The approximating impedance with the excess impedance added back Zappn Z eXCltDatanyogt 1 A 1 Revlt2vnijatan70gtnr I j Xevlt2v1IDatan70gtnx


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