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Deva,
Thanks for the clarification. I've asked the original designers of this circuit to provide feedback on your questions. I'll pass them along as soon as I receive them.
Thanks,
Brian
Document describing the triac based ac controlled fan using drv10983: http://www.ti.com/lit/an/sloa203/sloa203.pdf, section 2
Please read description. If you have any specific questions, let us know.