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CLASSROOM. TODAY’S LESSON: SPEEDBOOST. Faster Start-up. Conventional Control. 8 hr. Direct Control of Heater Surfaces and Product Temperature Reduces Adjustments Required. IR Control. 1 hr. Reduced Scrap. Conventional Control. $1000 per set-up.
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CLASSROOM TODAY’S LESSON: SPEEDBOOST www.exergen.com
Faster Start-up Conventional Control 8 hr • Direct Control of Heater Surfaces and Product Temperature Reduces Adjustments Required IR Control 1 hr www.exergen.com
Reduced Scrap Conventional Control $1000 per set-up • Less Product is Scrapped for Adjustments IR Control $100 per set-up www.exergen.com
Increasing Speeds via Non-Invasive IR-Monitored Heat Balance www.exergen.com
Frontiers • Principles of the Heat Balance in Time and Space • The Speed Boost Equation • Balanced Heat Input via IR Control • Applications • Laminating, Drying, Printing, Heat Sealing, Color Copying • High Speed Event Detection www.exergen.com
Principles of the IRt/c: With Heat Balance • Automatically Computes Heat Balance, Using Material Properties Alone • Can be Configured for Unpowered or Powered Configurations www.exergen.com
T T T T f w s a q Radiation + R R R f t o Convection Heat Transfer R R R f t o T T T T f s a a R o Non-Invasive Fluid Temperature in Tubing via IRt/c Heat Balance www.exergen.com
Thermal Energy Balance in Space and Time:The Time Domain www.exergen.com
Jean Baptiste Joseph Fourier1768-1830 • Fourier’s Equation of Heat Conduction • Unsteady State Heat Conduction for Moving Materials www.exergen.com
Pierre Simon Marquis de LaPlace1749 -1827 • Laplace Transform Method of Solution • Converts Partial Differential Equation to Ordinary Differential Equation www.exergen.com
Francesco Pompei1948 - • New Method of Solution Leads to a General Equation for Non-Contact Temperature Monitoring of Internal Temperatures of Moving Materials www.exergen.com
Which simplifies to www.exergen.com
Deriving The Speed Boost Equation • Set the surface temperature equal to the center temperature, then the equation reduces to • Since K2/K1 is a function only of material properties and speed: www.exergen.com
The Speed Boost Equation The ratio can be formed, which then becomes: • General Equation for Non-Contact IR Temperature Monitoring of Internal Temperatures of Moving Materials is Combined with Surface Temperature • Leads to Uniform Material Temperature When Controlled via the Speed Boost Equation • Which Forces the Control System to Apply Heat at an Optimally Balanced Rate www.exergen.com
Applying The Speed Boost Equation www.exergen.com
Speed Boost Equation is Generally Linear for Most Applications 50 % Increase 25 25 50 Speed % Increase www.exergen.com
Implementing Speed Boost to Include Non-Linearities • Apply step-wise speed increases in accordance with speed boost equation, and renormalize at new operating condition to account for property changes. • For variable speed systems, program to follow the characteristic curve. Speed Changes Followed by Renormalization % Increase 50 25 25 50 Speed % Increase www.exergen.com
Too To Ts Example Speed Boost: Laminating • Existing Set-up: Too = 105 C Ts = 85 C To = 25C • New Set-up: Too = 120 C Ts = 85 C To = 25C • Potential Speed Increase*: • 25% *Assuming all other factors are permitting www.exergen.com
Too Ts To Example Speed Boost: Drying • Existing Set-up: • Too = 260 C • Ts = 85 C • To = 25 C • New Set-up: • Too = 260 C • Ts = 85 C • To = 40 C (with preheat) • Potential Speed Increase*: • 33% *Assuming all other factors are permitting www.exergen.com
Precision Drying Control for Maximum Production Speed Relative Temperatures at IRt/c Locations Dry-Out Point (Phase Change) www.exergen.com
To Too Ts Example Speed Boost: Heat Sealing • Existing Set-up: Too = 150 C Ts = 120 C To = 25 C • New Set-up: Too = 150 C Ts = 120 C To = 45 C (with preheat added) • Potential Speed Increase: • 27% www.exergen.com
Too Ts To Example: High Speed Color Copy Process Paper Flow Energy Flow www.exergen.com
To IRt/c. SV Ts Ts Tw Overcoming Thermal Delays due to Mass of Rollers www.exergen.com
Speed Boost Equation • Above Can Be a Simplified Control Algorithm • Keep Equation Balanced to Within a Few % to Avoid Non-Uniformity in Material Temperature Product Surface - setpoint Heat Source Temperature Product Input Control Loop Gain www.exergen.com
Too To Ts Example Speed Boost: Laminating • Existing Set-up: Too = 105 C Ts = 85 C To = 25C • New Set-up: Too = 120 C Ts = 85 C To = 25C • Potential Speed Increase*: • 25% *Assuming all other factors are permitting www.exergen.com
Too Ts To Example Speed Boost: Drying • Existing Set-up: • Too = 260 C • Ts = 85 C • To = 25 C • New Set-up: • Too = 260 C • Ts = 85 C • To = 40 C (with preheat) • Potential Speed Increase*: • 33% *Assuming all other factors are permitting www.exergen.com
To Too Ts Example Speed Boost: Heat Sealing • Existing Set-up: Too = 150 C Ts = 120 C To = 25 C • New Set-up: Too = 150 C Ts = 120 C To = 45 C (with preheat added) • Potential Speed Increase: • 27% www.exergen.com
You Cannot Know For Sure That the Product is Right Unless You Look...WithEXERGENIRSensors www.exergen.com