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Round LED Module Thermal Management - Universal Lighting ...

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Application Note: EVM04<br />

<strong>LED</strong> <strong>Module</strong> without Heat Sink:<br />

Network Model:<br />

T a avg<br />

∆T hu<br />

T la<br />

T s<br />

R s-la<br />

P d<br />

Model Equation:<br />

T s rel design, no hs<br />

= T a avg<br />

+ ∆T hu<br />

+ P d · R s-la<br />

Figure 3: System Design Phase - Network and Equation for <strong>Module</strong> without Heat Sink<br />

where:<br />

T s rel design, no hs<br />

is the design without heat sink solder temperature for reliability<br />

conditions (⁰C)<br />

T a avg<br />

is the average system ambient temperature (⁰C)<br />

∆T hu<br />

is the air heat up within the system between T a avg<br />

and T la<br />

(⁰C)<br />

T la<br />

is the temperature of the air near the heat sink (⁰C)<br />

T s<br />

is the solder measurement point temperature (⁰C)<br />

P d<br />

is the heat dissipated (W)<br />

R s-la<br />

is the thermal resistance from T s to T la (⁰C/W)<br />

T a avg in the reliability calculation is the average ambient temperature of the <strong>LED</strong> environment to<br />

which the <strong>LED</strong> heat is ultimately dissipated. For example, if the <strong>LED</strong> module is assembled within a<br />

housing, the ambient temperature is that which is external to the housing. This average system<br />

ambient temperature rather than the maximum ambient temperature affects <strong>LED</strong> lifetime.<br />

Both networks include a variable that provides for the air temperature heat up (∆T hu ). Air heat up<br />

can be caused by power supplies, other <strong>LED</strong>’s, or any other heat dissipating devices that affect the<br />

air temperature near the module of interest and cause a temperature rise from the system ambient<br />

air temperature to the module local ambient air temperature. In some cases where no other<br />

devices are present to affect the air temperature this variable contributes 0⁰C to increase in the<br />

solder temperature.<br />

The T la is the temperature of the air near the heat sink at a position that is not affected by heat<br />

convecting from the <strong>LED</strong> or from cooling hardware.<br />

For further assistance or ordering information please contact <strong>Universal</strong> lighting technologies @ 1-800-BALLAST or visit our website at http://www.unvlt.com/<br />

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