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A fan needs energy to work. Suppose we use a dynamo, driven by the fan. The output of the dynamo is supposed to drive the fan. In this loop, some energy leaks away, into moving air not captured by the arrangement set up to drive the dynamo. More energy is lost in the working of the fan, and of the dynamo, appearing as heat and wear. If we provide this system with 100 joules to start it off, soon all that energy will have leaked away and pretty quickly the thing will stop working. On the other hand, if your fan is a windmill driven by external sources (wind), then the wind energy can be converted to useful energy. But not to drive the windmill.

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