Power companies are being forced to pay compensation to Victorians affected by last month's blackouts, with payments up to $180 depending on how long a household went without electricity.
As part of the $5 million package, announced on Sunday, around 50,000 households who lost power on January 28 will receive a one-off payments.
About 40,000 more customers are set to receive payments than required under regulatory obligations.
"We know how frustrating this was for many Victorians – affected customers deserve to be compensated for the inconvenience," Ms D'Ambrosio said in a statement. "We've worked with the private power distribution companies to deliver this for thousands of customers affected by this extreme weather event."
The unprecedented demand for a Sunday exposed the distributors as unprepared when fuses blew at local power substations, leaving tens of thousands without cooling on one of the hottest January nights on record.