The Electricity Retailers Association chief executive Cameron Burrows said the move "will stop many low-income households subsidising the electricity of better-off families".
Typically the plans help smaller households with good insulation and efficient heating.
"While the low fixed charge regulations were intended to help some struggling households, they can put more of a financial burden on those who don't qualify for low fixed charges, particularly larger families and those living in poorly insulated homes who have higher electricity needs and have to pay the much higher standard fixed charge," Woods said in a statement.
The plans will not go quickly, however. The plans will be phased out over five years, starting from April 2022. The changes needed to be well signalled to give the industry time to adjust to the changes.