Integration of Eq. 2 over time provides the cumulative amount of CO2 captured, as expressed in Eq. S23. When the sorbent is not replaced each cycle but is instead replaced en-masse (i.e., all at once), Eq. 2 can be simplified accordingly (Eq. S22). As the sorbent degrades, the necessary energy consumption changes in addition to the amount of CO2 captured. To account for this, the electrical and thermal energy are fitted separately to four-term polynomial expressions for convenience (Eq. S60, S65). The polynomial expressions are then integrated over time to find the cumulative energy consumption (Eq. S61, S66).