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 KLIPPEL ANALYZER SYSTEM Detailed Report Large Signal Identification (LSI)

Driver Name: 10" foster woofer

Driver Comment: 11-083-1

Measurement: LSI large signal 1.0

Measurement Comment:

## Power Series Expansion

Symbol   Number   Unit   Comment
Displacement Limits           thresholds can be changed in Processing property page
X Bl @ Bl min=82%   >10.1   mm   Displacement limit due to force factor variation
X C @ C min=75%   2.5   mm   Displacement limit due to compliance variation
X L @ Z max=10 %   2.9   mm   Displacement limit due to inductance variation
X d @ d2=10%   85.1   mm   Displacement limit due to IM distortion (Doppler)

f0       N/A^2   flux modulation f0
f1       N/(A^2m)   flux modulation f1
Bl0 = Bl (X=0)   17.039   N/A   constant part in force factor
Bl1   0.15460   N/Amm   1st order coefficient in force factor expansion
Bl2   0.00085048   N/Amm^2   2nd order coefficient in force factor expansion
Bl3   -0.0021545   N/Amm^3   3rd order coefficient in force factor expansion
Bl4   -0.00026740   N/Amm^4   4th order coefficient in force factor expansion
Bl5   -2.9767e-006   N/Amm^5   5th order coefficient in force factor expansion
Bl6   3.8184e-007   N/Amm^6   6th order coefficient in force factor expansion
Bl7   4.6858e-008   N/Amm^7   7th order coefficient in force factor expansion
Bl8   1.9195e-009   N/Amm^8   8th order coefficient in force factor expansion

L0 = Le (X=0)   7.8313   mH   constant part in inductance
L1   -0.56873   mH/mm   1st order coefficient in inductance expansion
L2   -0.00010098   mH/mm^2   2nd order coefficient in inductance expansion
L3   0.0061289   mH/mm^3   3rd order coefficient in inductance expansion
L4   0.00011745   mH/mm^4   4th order coefficient in inductance expansion
L5   -7.6144e-005   mH/mm^5   5th order coefficient in inductance expansion
L6   -2.8318e-006   mH/mm^6   6th order coefficient in inductance expansion
L7   3.7964e-007   mH/mm^7   7th order coefficient in inductance expansion
L8   1.9035e-008   mH/mm^8   8th order coefficient in inductance expansion

C0 = Cms (X=0)   1.1063   mm/N   constant part in compliance
C1   0.10942   1/N   1st order coefficient in compliance expansion
C2   -0.0076179   1/Nmm   2nd order coefficient in compliance expansion
C3   -0.0029976   1/Nmm^2   3rd order coefficient in compliance expansion
C4   -0.00012786   1/Nmm^3   4th order coefficient in compliance expansion
C5   3.3739e-005   1/Nmm^4   5th order coefficient in compliance expansion
C6   2.7139e-006   1/Nmm^5   6th order coefficient in compliance expansion
C7   -1.4440e-007   1/Nmm^6   7th order coefficient in compliance expansion
C8   -1.4024e-008   1/Nmm^7   8th order coefficient in compliance expansion

Xpse   10.1   mm   -Xpse < X < Xpse, range where power series is fitted

## Linear Parameters

Symbol   Large + Warm   Large + Cold   Small Signal   Unit   Comment
Delta Tv = Tv-Ta   37   0   -0   K   increase of voice coil temperature during the measurement
Xprot   14.9   14.9   2.0   mm   maximal voice coil excursion (limited by protection system)

Re (Tv)   10.90   9.55   9.55   Ohm   voice coil resistance considering increase of voice coil temperature Tv
Le (X=0)   7.83   7.83   5.25   mH   voice coil inductance at the rest position of the voice coil
L2 (X=0)   2.16   2.16   1.45   mH   para-inductance at the rest position due to the effect of eddy current
R2 (X=0)   25.04   25.04   16.80   Ohm   resistance at the rest position due to eddy currents
Cmes (X=0)   797   797   765   �F   electrical capacitance representing moving mass
Lces (X=0)   280.96   280.96   133.80   mH   electrical inductance at the rest position representing driver compliance
Res (X=0)   587.45   587.45   81.89   Ohm   resistance at the rest position due to mechanical losses

Qms (X=0, Tv)   31.28   31.28   6.19       mechanical Q-factor considering Rms only
Qes (Tv)   0.51   0.45   0.72       electrical Q-factor considering Re (Tv) only
Qts (X=0, Tv)   0.50   0.44   0.65       total Q-factor considering Re (Tv) and Rms only
fs   10.6   10.6   15.7   Hz   driver resonance frequency

Mms   202.658   202.658       g   mechanical mass of driver diaphragm assembly including voice-coil and air load
Rms (X=0)   0.433   0.433       kg/s   mechanical resistance of total-driver losses
Cms (X=0)   1.10   1.10   0.79   mm/N   mechanical compliance of driver suspension at the rest position
Bl (X=0)   17.04   17.04       N/A   force factor at the rest position (Bl product)
Vas   205.2299   205.2299   146.9453   l   equivalent air volume of suspension
N0   0.047   0.053   0.076   %   reference efficiency (2Pi-sr radiation using Re)
Lm   78.8   79.4   80.9   dB   characteristic sound pressure level

Sd   363.05   363.05   363.05   cm�   diaphragm area

Temporal Variations of the Stiffness KMS(t, x=0)

Temporal Variations of the Voice Coil Resistance RE(t)

## Transducer State

Symbol   Value   Unit   Comment
Date    2007-05-29
Time   14:53:55
Serial number   0
Mode   Nonlinear Mode 5(7)
Record   205/205
Laser   signal reliable
t   00:11:58   h:min:s   measurement time

Ei (t)   25.4   %   error current measurement
Ex (t)   7.2   %   error laser measurement
Eu (t)   6.3   %   error amplifier check

Delta Tv (Delta Tlim)   37.1 (60.0)   K   increase of voice coil temperature (limit)
Blmin (Bllim)   53.8 (50.0)   %   minimal force factor ratio (limit)
Cmin (Clim)   18.8 (20.0)   %   minimal compliance ratio (limit)
P (Plim)   20.53 (75.00)   W   real electrical input power (limit)
Lmin   47.2   %   minimal inductance ratio
Pn   32.24   W   nominal electrical input power
P Re   15.91   W   Power heating voice coil
P con       W   deducted power due to convection cooling
Glarge (Gmax)   19.3 (26.0)   dB   gain of the excitation amplitude increased in the large signal domain (maximum)

Mech. system       abs.   laser used to identify mechanical system in absolute quantities

Xdc   0.6   mm   dc component of voice coil excursion measured in the last update intervall
Xpeak   13.0   mm   positive peak value of voice coil excursion measured in the last update intervall
Xbottom   -11.7   mm   negative peak value (bottom) of voice coil excursion measured in the last update intervall
Xp+   11.4   mm   upper limit of displacement range (99% probability)
Xp-   -10.1   mm   lower limit of displacement range (99% probability)
Xprot   14.9   mm   maximal voice coil excursion allowed by protection system
v rms   0.39   m/s   voice coil velocity
Irms   1.208   A   rms value of the electrical input current
Urms   19.668   V   rms value of the electrical voltage at the transducer terminals
Ipeak   4.946   A   peak value of the electrical input current
Upeak   70.998   V   peak value of the electrical voltage at the transducer terminals
PC   1.15   dB   thermal power compression factor

Db   12.5   %   distortion factors representing contribution of nonlinear force factor
Dl   21.9   %   distortion factor representing contribution of nonlinear inductance
Dc   31.7   %   distortion factor representing contribution of nonlinear compliance

R tc (v)       K/W
R th total   2.33   K/W   Delta Tv / P Re

## Voltage Probability Density Function pdf(u)

Voice Coil Temperature D TV(t) and Power P(t)

Displacement x(t)

Displacement Probability Density Function pdf(x)

## Remedies for Transducer Nonlinearities

 Report generated: Date: 05/30/07 Time: 15:46:27 Username: lab1

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