Nonlinear Loudspeaker Modeling for Smart Thermal Limiting

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Solution Overview

Problem

Existing loudspeaker protection systems lack accurate real-time prediction of voice coil temperature and nonlinear behavior, leading to overly cautious limiting and reduced performance, as they fail to account for complete thermal and excursion models.

Innovation Solution

A system that includes a thermal modeling system for linear compensation and a nonlinear modeling system to accurately predict voice coil temperature and cone excursion in real-time, using parametric equalization to maintain sound quality and prevent thermal overload, while constraining functions to ensure stable operation across all drive levels.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Reliability

If existing speaker limiters limit peak or RMS voltages without complete thermal and excursion models, then the loudspeaker is protected from damage, but the loudspeaker cannot perform at maximum output capability

Engineering Contradiction:
Improvespeaker protectionVSAvoidmaximum output capability
Core Design Contradiction:
ReliabilityVSProductivity

Solution Approach 1:

The system performs preliminary thermal and excursion modeling to predict future speaker states before damage occurs. By calculating voice coil temperature and cone excursion in advance using thermal models and mechanical models, the limiter can make informed decisions about maximum output capability without being overly cautious, thus resolving the contradiction between protection and performance.

Inventive Principle:
Principle #10Preliminary action

2Device complexity

If conventional limiting systems are used without accurate thermal modeling, then the system is simpler to implement, but the limiting is overly cautious and prevents maximum performance

Engineering Contradiction:
Improvelimiting system complexityVSAvoidspeaker performance
Core Design Contradiction:
Device complexityVSProductivity

Solution Approach 1:

The system implements feedback by continuously monitoring actual speaker performance and comparing it with thermal model predictions and excursion model predictions. This feedback loop allows the system to accurately determine maximum output capability without excessive complexity, as the feedback provides real-time information about actual thermal and mechanical states, enabling precise limiting decisions.

Inventive Principle:
Principle #23Feedback

3Measurement precision

If accurate nonlinear parameter estimation is implemented, then voice coil temperature and cone excursion can be predicted accurately, but the system complexity increases

Engineering Contradiction:
Improvetemperature prediction accuracyVSAvoidmodeling system complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The system segments the complex nonlinear modeling problem into distinct components: thermal modeling for voice coil temperature prediction, excursion modeling for cone displacement prediction, and electrical modeling for current and voltage relationships. This segmentation allows each subsystem to be modeled independently with appropriate precision, reducing overall system complexity while maintaining high measurement precision for temperature and excursion predictions.

Inventive Principle:
Principle #1Segmentation

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

The system effectively prevents thermal overload and power compression, allowing the loudspeaker to operate at maximum capacity while maintaining sound quality and extending its lifespan by accurately predicting voice coil temperature and nonlinear behavior.

Implementation Method 1

The main sources of these nonlinearities are Force Factor B l (x), stiffness K ms (x), and Inductance L e (x)... a thermal modeling system for linear compensation... accurately predict voice coil temperature... prevent thermal overload

Methodology Applied
Scientific EffectJoule heating: Joule Heating

Implementation Method 2

A loudspeaker parameter prediction system includes the features as defined in claim 1... nonlinear modeling system to accurately predict voice coil temperature and cone excursion... transform electrical signal to sound waves

Methodology Applied
Scientific EffectElectromagnetic force: Lorentz Force

Data Source

PatentEP3503582B1Constrained nonlinear parameter estimation for robust nonlinear loudspeaker modeling for the purpose of smart limiting
Publication Date: 2021.12.29 HARMAN INT IND INC
  • EP3503582B1 patent drawingFigure 1~2
  • EP3503582B1 patent drawingFigure 3A
  • EP3503582B1 patent drawingFigure 3B

AI summary

A loudspeaker real-time state variable prediction system may include a loudspeaker having a voice coil and a magnet, and a non-linear excursion model configured to estimate non-linear excursion of the loudspeaker. The system may further include a thermal model configured to utilize thermal parameters and frequency based on at least one thermal property of the loudspeaker, and a gain adjustment thermal limiter configured to apply a gain reduction an incoming audio signal to protect the loudspeaker from thermal overload.