The Ukrainian state electricity company also warned of cutting all supplies if the quotas were breached, reports Reuters.
Though Crimea was annexed by Russia in March, it continues to rely on Ukraine for about 80% of the power supply.
Reuters cited Ukrinterenergo as saying in a statement: "If the limits are not adhered by the consumers of Crimea, the company will be forced to completely turn off supply lines to the peninsula.
"Fuel shortages and the resulting lack of power generation is leading … to possible rolling blackouts in power supply to the population on Ukrainian territory at peak times.
Ukraine Prime Minister Arseny Yatseniuk said that the nation is likely to undergo extremely difficult winter due to power crisis as well as shortfall in gas supplies from Russia.
"The priority for Ukrinterenergo is the interests of Ukrainian citizens for whom conserving power is becoming an urgent issue."
The company would restrict the power flow to 500 MW during the day and 600MW at night to Crimea, which usually has an average consumption of 1,000 MW, according to Ukrinterenergo.
The thermal coal mines are located in Ukraine’s industrialised eastern regions. However, due to fighting between pro-Russian rebels and Ukrainian forces, the infrastructure has been destroyed, resulting in disruption of power supply.