alma international 2007 china symposium - redrock …...thiele / small parameters (t/s), frequency...

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“Simulation of T/S Parameter Production Tolerances” ALMA International 2007 China Symposium By Patrick Turnmire Redrock Acoustics

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Page 1: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

ALMA International 2007 China Symposium

By Patrick Turnmire Redrock Acoustics

Page 2: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker performance.

For production testing, both frequency response and power handling have clear standards and a good engineering basis for those standards.

Thiele / Small parameter standards, however are typically assigned arbitrarily with no consideration of their relationship to the parts’ tolerance specifications that actually cause the parameter variance

- or to the real performance variations!

( System F3 , Tuning, SPL )

Page 3: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

A typical Tolerance Specification for T/S parameters might look like this:

• How these relate to the Parts Specifications is not considered!

( How do parameters change when part values change? )

Parameter Value Unit ToleranceRe 6 Ohms +/- 5%

Fo 60.3 Hz. +/- 10%

Qts .575 +/- 10%

Qms 6.0 +/- 10%

Vas 27.27 Liters +/- 10%

• How these relate to the Performance of the speaker is not considered!

( What parameters are important for the performance? )

Page 4: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

What we need to do is:

• Identify how part changes affect parameters

(especially the important ones)

• Set parameter tolerances that are based on reasonable parts tolerances.

• Identify which parameters are important for performance.

Page 5: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Which parameters are important for performance?

These are not defined by single parameters, rather by ratios of parameters:

Fo / Qts ratio

BL2 / Re ratio

Performance is typically defined by:

System F3

Tuning ( Qtc for sealed and infinite baffle, Fb for vented )

Sensitivity

Good control over these ratios, means good control over the performance of the system.

Page 6: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

How do part changes affect parameters?

Changes in parts values typically change more than one parameter.

Speaker parts specifications are typically a combination of dimensions with tolerance values, and part-specific specifications such as DCR (coils), deflection (spiders) Fo (cones), etc.

For example:

Coil DCR affects every parameter

Cone Fo affects Fo, Qts Qes, Vas

Motor Dimensions affect Qe, Qts, BL, SPL

Page 7: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Then calculate how these variables affect every parameter through the full range of their tolerances.

To accurately calculate parameter variations based on the tolerances of individual parts you need to create a complex matrix of all of the important variables and their tolerances.

Easy Right?

In fact all of the speaker parts tolerances interact to produce a wide range of variance in the speaker parameters

Fortunately….

Page 8: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Page 9: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Input values

Page 10: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Tolerance Calculations

Page 11: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Coil DCR Change of +/- 5 %

Page 12: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Cone Fo +/- 10% & Spider Deflection +/- 15%

Page 13: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Typical Magnet Part Tolerances

Page 14: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Complete set of Typical Tolerances

Page 15: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Complete set of Typical Tolerances – Better Coil

Page 16: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Summary using Tolerance Worksheet:

Large Changes in Cone Fo and Spider Deflection have little affect on important parameters.

Coil Re has a large affect on important parameters and improving tolerance can greatly improve total speaker tolerances.

Using Qts , Qes and Vas for QC parameters can be misleading and cause unnecessary failures.

Page 17: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Performance – Based T/S Tolerance Model based on Part Tolerances

Parameter Value Unit ToleranceRe 6 Ohms +/- 2%

Fo 60.3 Hz. +/- 10%

Fo/Qts Ratio 105 +/- 10%

BL2/ Re Ratio 10.13 +/- 10%

These values can easily be achieved with reasonable part tolerances

( Coil tolerances have to be improved from the +/- 5% DCR standard )

Page 18: ALMA International 2007 China Symposium - Redrock …...Thiele / Small parameters (T/S), Frequency Response and Power Handling, are the primary evaluation standards for loudspeaker

“Simulation of T/S Parameter Production Tolerances”

Questions, Comments?