Customers of BSES discoms were the worst affected lot as their areas faced maximum power cuts.
There was no power in some areas of East Delhi for over seven hours while localities in South and West Delhi also reeled under four to five hours of outages.
Almost all major power transmission lines were severely damaged in the devastating storm that had struck the city on May 30. The network is yet to be restored.
Union Power Minister Piyush Goyal last night visited Maharani Bagh area to take stock of progress of repair work of the Maharani Bagh-Gazipur 220KV line.
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A number of top officials of Power Ministry and Delhi's power department accompanied him.
Power department officials said long power cuts are taking place in some areas due to local faults in the distribution network of the private distribution companies.
"When the power demand goes up, the local network at times trips as it fails to hold the pressure. Some areas are facing power cuts due to local faults," they said.
The officials said the situation today is much better as power demand has come down marginally due to drop in temperature following light rains in the afternoon.
The maximum load has come down to 4,561 MW at 4 pm compared to 5,327 MW yesterday.
Meanwhile, Congress held a protest at Khanpur area of South Delhi demanding immediate improvement in power supply. They blocked traffic in the area which caused traffic jams in roads around the area.
"If the Union Power Minister cannot handle the power situation in Delhi, then how can he manage the whole country," DPCC Chief Spokesperson Mukesh Sharma said.