Heating Device Simulation with Nonlinear Thermal Radiation Cooling

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Solution Overview

Problem

Existing simulation models for controlled devices, such as those with heating components, fail to accurately reproduce non-linear cooling characteristics due to linear approximation methods, leading to significant divergence between real and simulated cooling behaviors, especially when natural thermal radiation is involved.

Innovation Solution

A simulation method that includes a controlled-device model with components for heating, radiation, and heat capacity, where the radiation component accounts for natural thermal radiation and its impact on the process value, allowing for the determination of gains, exponents, and time constants based on process-value time variance, enabling more accurate simulation of cooling characteristics across varying temperatures.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Ease of manufacture

If linear approximation is used to model cooling characteristics, then the simulation model is simple to implement, but the accuracy of reproducing non-linear cooling behavior deteriorates significantly

Engineering Contradiction:

Improvesimplicity of simulation modelVSAvoidaccuracy of cooling characteristic reproduction

Core Design Contradiction:

Ease of manufactureVSMeasurement precision

Solution Approach 1:

The patent changes the mathematical parameters of the simulation model from linear to non-linear by incorporating natural thermal radiation effects. The cooling power is modeled as proportional to the fourth power of absolute temperature (T^4), which accurately reproduces non-linear cooling characteristics while maintaining reasonable computational complexity through established physical laws.

Inventive Principle:

Principle #35Parameter changes

2Ease of operation

If linear approximation is used for cooling characteristics, then the model can be implemented easily, but significant divergence appears between real-life cooling characteristic and approximated characteristic

Engineering Contradiction:

Improveease of model implementationVSAvoidaccuracy of simulation results

Core Design Contradiction:

Ease of operationVSReliability

Solution Approach 1:

The patent modifies the cooling model parameters from linear relationships to non-linear relationships based on thermal radiation physics. The cooling power parameter is defined as proportional to T^4, which accurately captures the non-linear behavior observed in real-life cooling processes while remaining implementable through standard computational methods.

Inventive Principle:

Principle #35Parameter changes

Solution Approach 2:

The patent replaces the simplified linear mechanical approximation with a physics-based non-linear model that incorporates natural thermal radiation effects. This substitution uses established thermodynamic principles to achieve higher reliability in simulation results without requiring complex experimental calibration.

Inventive Principle:

Principle #28Mechanics substitution (Replace mechanical system)

3Adaptability or versatility

If linear approximation is used, then highly accurate simulation can only occur in the vicinity of a temperature identified in advance, but the simulation cannot be carried out accurately across a broad temperature range

Engineering Contradiction:

Improvetemperature range coverageVSAvoidsimulation accuracy

Core Design Contradiction:

Adaptability or versatilityVSMeasurement precision

Solution Approach 1:

The patent changes the temperature-dependent parameters from constant linear values to non-linear functions of temperature. The cooling power is modeled as proportional to T^4, which naturally adapts to different temperature ranges and maintains accuracy across broad temperature variations without requiring separate linear approximations for different operating conditions.

Inventive Principle:

Principle #35Parameter changes

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

This approach allows for a more accurate simulation of cooling characteristics in controlled devices, reducing the divergence between real and simulated behaviors and enabling precise control across a broader temperature range.

Implementation Method 1

a radiation component corresponding to natural thermal radiation occurring in the real controlled device for decreasing the process value in accordance with the size of the process value

Methodology Applied

Scientific EffectThermal radiation: Thermal Radiation

Data Source

PatentUS11003150B2Simulation method, recording medium wherein simulation program is stored, simulation device, and system

Publication Date: 2021.05.11 OMRON CORP

AI summary

A simulation method run on a computer simulating the characteristics of a real controlled device including a heating apparatus that changes a heating value in accordance with a first manipulated value, includes creating a controlled-device model representing the real controlled device where a first manipulated value is an input and a process value for the real controlled device is an output, acquiring a first time-related characteristic as input to the controlled-device model, and calculating a second time-related characteristic from the output from the controlled device model with respect to the input of the first time-related characteristic. The controlled-device model includes a heating component corresponding to the heating apparatus for increasing the process value in accordance with the size of a first manipulated value.