How much is a home battery worth on a time-of-use tariff if it is dispatched optimally?
research/energy-tou-lp
How much is a home battery worth on a time-of-use tariff with optimal dispatch? An LP breaks even at $867/kWh for 10 kWh behind 6 kW PV, against $674 for the best fixed rule ($742 with a 4,000-cycle life); a rolling 36 h plan matches the year optimum (energy-tou with an optimiser).
What it found
Replaces the fixed dispatch rule of energy-tou with a linear program (HiGHS) over 10 seeded synthetic weather years and the same assumed three-band tariff. A 10 kWh battery behind 6 kW of PV breaks even at $867/kWh installed under optimal dispatch with perfect foresight, against $674 for the best fixed rule and $444 on a flat tariff; with life limited to 4,000 full cycles it is $742, 10% above the rule and still under the assumed $800. A rolling 36 h plan with a perfect forecast matches the whole-year optimum to $1. The optimiser adds $33 to $108/kWh across 2.5–20 kWh, and a wear-aware optimiser adds $43–58 when cycle life binds. Stylised: perfect foresight, assumed tariff, synthetic weather, crude cycle-count degradation.
A figure from its own output
Paper, code and results
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Produced with AI assistance (Claude). Results are from the code in this repository and are simulated or stylised unless the abstract says otherwise; nothing here implies affiliation with or endorsement by any lab, researcher or company cited. MIT licensed.