Waste heat with both high and low temperatures

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Recovering waste heat from both low and high temperatures can be beneficial for heating applications. Utilizing the peaks of high temperature may allow for the generation of mechanical or electrical energy, potentially powering a heat pump. However, the effectiveness of this approach depends on the temperature differential, which should be significant to justify the effort. Clarifying what constitutes "low" and "high" temperatures, as well as the duration of high peaks, is essential for determining the feasibility of the project. Overall, optimizing the use of fluctuating waste heat can enhance energy efficiency in heating spare rooms.
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Hi, I'm new to posting. I am working on a current project where I'm suppose to recover heat waste that has for the most part low temperatures but every now and then the temperature peaks so that the temperature is high for a while. The heat waste is going to be used for heating spare rooms. My question is: Is it possible to use (take advantage of) the peaks of high temperature? How does one go about when doing so?
 
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It is hard to tell if the description is so vague.
The temperature of what? What is "low" and "high" temperature? How long is "a while"?

It might be possible to get some mechanical or electrical energy out of it and drive a heat pump with that, but the temperature difference should be high to be worth the effort.
 

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