Home Battery Dispatch under a Tiered Peak Power Tariff
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866914503799603200 |
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| author | Pérez-Piñeiro, David Skogestad, Sigurd Boyd, Stephen |
| author_facet | Pérez-Piñeiro, David Skogestad, Sigurd Boyd, Stephen |
| contents | We consider the problem of operating a battery in a home connected to the grid to minimize electricity cost, which combines an energy charge and a tiered peak power charge based on the average of the $N$ largest daily peak powers in each billing month. With perfect foresight of loads and prices, the minimum cost is the solution of a mixed-integer linear program (MILP), which provides a lower bound on the cost of any implementable policy. We propose a model predictive control (MPC) policy that uses simple forecasts of loads and prices and solves a small MILP at each time step. Numerical experiments on one year of data from a home in Trondheim, Norway, show that the MPC policy attains a cost within $1.7\%$ of the prescient bound, and saves close to three times as much as the best rule-based policy we consider. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_07580 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Home Battery Dispatch under a Tiered Peak Power Tariff Pérez-Piñeiro, David Skogestad, Sigurd Boyd, Stephen Optimization and Control Systems and Control We consider the problem of operating a battery in a home connected to the grid to minimize electricity cost, which combines an energy charge and a tiered peak power charge based on the average of the $N$ largest daily peak powers in each billing month. With perfect foresight of loads and prices, the minimum cost is the solution of a mixed-integer linear program (MILP), which provides a lower bound on the cost of any implementable policy. We propose a model predictive control (MPC) policy that uses simple forecasts of loads and prices and solves a small MILP at each time step. Numerical experiments on one year of data from a home in Trondheim, Norway, show that the MPC policy attains a cost within $1.7\%$ of the prescient bound, and saves close to three times as much as the best rule-based policy we consider. |
| title | Home Battery Dispatch under a Tiered Peak Power Tariff |
| topic | Optimization and Control Systems and Control |
| url | https://arxiv.org/abs/2307.07580 |