It comes as the Energy Network Association (ENA) said 3,190 homes were still waiting to be reconnected as of 2pm on Sunday. This is down from 4,025 homes on Sunday morning.
The majority of affected homes are in the northeast of England, the ENA added.
Mr. Kwarteng visited Northeast on Sunday to survey storm damage.
During a visit to the Northern Powergrid call center in Penshaw near Sunderland, Mr Kwarteng told the PA news agency: “I think we can make the system a lot more durable.
“I had an experience on August 9, 2019 when a million people in the Southeast were going to work when the power went out.
“Soon we went through and reviewed the system and we held off the rail and transport companies and we got a more durable system.
“That’s exactly what I wanted to happen this time.
“We will have an assessment, we will see if the distribution companies have enough infrastructure, we can even take enforcement action if necessary.”
Speaking at the call center, Mr Kwarteng said: “I don’t accept that (the power cuts should have been resolved faster in the South).
“The physical infrastructure, the layout and the landscape are very different.
“One of the specific reasons we don’t have people back on is the weather conditions, and they’re very challenging (to) people in sparsely populated rural areas, and that’s a challenge.”
It comes as Cyclone Barra will hit the UK on Tuesday, bringing strong winds and rain.
As a result, a yellow wind warning is in place across England, Wales and Northern Ireland, with a yellow snow warning in place for southern and western Scotland.
A spokesman for the Energy Networks Association said operators were “working together” to prepare for the storm.
On Saturday, gusts of 35 to 50 mph hit the country overnight, with temperatures plummeting below zero in parts of Scotland.
As well as weather warnings, the Met Office predicts more wet and windy weather to come next week, with continued bad weather conditions in areas already affected by Cyclone Arwen. .
Met Office meteorologist Rachel Ayers said: “It’s going to be a relatively nice day, but it’s going to be windy tonight.
“Temperature, accompanied by wind and cloud cover, should stay up tonight.
“That should help things a little bit, but we are expecting some more changeable and unsettled weather.
“This unsettled weather will not help areas that have been impacted too much by Hurricane Arwen.”
The Department of Defense told PA that 297 personnel from the British Army and Royal Marines were still assisting civilian agencies and conducting door-to-door checks of vulnerable people on Sunday morning.
On Saturday, Boris Johnson said he had held calls with those leading the response to Hurricane Arwen and that the Government was ready to further support the recovery “in any way possible”.
The prolonged delay prompted the power regulator Ofgem to warn that it will take enforcement action against network companies that don’t restore power to customers quickly enough.
It has also agreed with companies to lift the £700 limit on compensation that can be offered to people stranded without electricity.
The change will allow affected people to claim £70 for every 12-hour period in which they are without power, after the initial £70 for the first 48 hours of any outages.
https://www.independent.co.uk/news/uk/kwasi-kwarteng-storm-arwen-north-east-government-ofgem-b1970165.html The Energy Minister reviews the performance of power companies after the outage caused by Hurricane Arwen