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Since the transmission line has some real impedence (resistance) it will produce some voltage drop over a distance. During the peak hours the current going through the line is greater than non peak hours so the voltage drop increases proportunately (V=IR) and so you see a slightly lower voltage. This effect is best seen in remote areas at the end of the transmission line.

For a more extreme version that involves insufficient generation capabilities see brown out.

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Q: Cause of decrease in grid voltage in peak hours?
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