Steady State to Transient Response correlations?

[cymeryss]

I have worked out a thermal model to predict steady state (SS) temperature distribution for a TEFC machine based on already existing models created for example by P.H.Mellor. I would like to estimate the transient response, or at least the max winding temperature under a higher transient load, without the complexity of transient thermal models that involve cappacitances, etc. Basically, I am looking for an approximate estimation method of the transient temp resonse, based on a steady state response. I don't even know if such a model exists, but if there are such correlations out there I would greatly appreciate your guys pointing me to the right source. In particular, I would like to be able to approximate the following scenario.
From the steady state model I can see how the temp rises with increasing heat loss, and I would like to predict how that temp change correlates to the same increase to heat loss during a transient mode. For example at SS, 20kW load, temp = 100C, at SS, 30kW load, temp = 120C. Now my questions is, using same temp diff, will the load increase under transient response be the same? I hope this is somewhat clear and understandable. Any help would be appreciated.

Best Regards to all,

Cymeryss

 

[IRstuff]

I think you're asking for the impossible. The thermal capacitances are what make transient problem transient.




TTFN

 

[MortenA]

There are some diagrams developed for special geometries such as rods slabs etc for trancient heat conduction.

These are as far as i know most suited for subjects with a uniform temperature distrubtion suddenly subjected to temperature change e.g. a red-hot metal rod beeing quenched.

Many theory books on the subject of heat transmission will get around to this subject - allthouh i couldnt find it in Perry.

Best regards

Morten