it's very rare that when u change ur analog meter over to the smart meter ur bill will increase
if it does happen though, it probably means that ur old analog meter wasn't accurately reading ur consumption. therefor, with the new and more accurate smart meter, ur bill will increase as a result of that
it might be a little difficult but if u want to see if what ur analog reading is accurate or not, do an energy audit of ur home for a 24hr period and see if it adds up to what increase in kwh shows on ur meter
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