This paper investigates the use of a collection of dispatchable heating, ventilation and air conditioning (HVAC) systems to absorb low-frequency fluctuations in renewable energy sources, especially in solar photo-voltaic (PV) generation. Given the uncertain and time-varying nature of solar PV generation, its probability distribution is difficult to be estimated perfectly, which poses a challenging problem of how to optimally schedule a fleet of HVAC loads to consume as much as local PV generation. We formulate a distributionally robust chance-constrained (DRCC) model to ensure that PV generation is consumed with a desired probability for a family of probability distributions, termed as an ambiguity set, built upon mean and covariance information. We benchmark the DRCC model with a deterministic optimization model and a stochastic programming model in a one-day simulation. We show that the DRCC model achieves constantly good performance to consume most PV generation even in the case with the presence of probability distribution ambiguity.
|Original language||English (US)|
|Title of host publication||2019 American Control Conference, ACC 2019|
|Publisher||Institute of Electrical and Electronics Engineers Inc.|
|Number of pages||7|
|State||Published - Jul 2019|
|Event||2019 American Control Conference, ACC 2019 - Philadelphia, United States|
Duration: Jul 10 2019 → Jul 12 2019
|Name||Proceedings of the American Control Conference|
|Conference||2019 American Control Conference, ACC 2019|
|Period||7/10/19 → 7/12/19|
Bibliographical notePublisher Copyright:
© 2019 American Automatic Control Council.