Income-based energy poverty metrics miss people's behavior (i.e., reducing energy consumption to limit financial stress). We introduce a novel method for calculating energy-limiting behavior in low-income households using a residential electricity consumption dataset. We first determine the outdoor temperature at which households start using cooling systems, the inflection temperature. Our energy poverty metric, the energy equity gap, is defined as the difference in the inflection temperatures between low and high-income groups. In our study region, we estimate the energy equity gap to be between 4.7°F and 7.5°F. In 2015–2016, within our sample of 4,577 households, we found 86 energy-poor and 214 energy-insecure households. In contrast, the income-based energy burden metric identified 141 households as energy insecure when the threshold was set to 10%. Only three households overlapped between the energy equity gap and energy burden measures. Thus, the energy equity gap reveals a hidden but complementary aspect of energy poverty.