3,014 research outputs found
Using Battery Storage for Peak Shaving and Frequency Regulation: Joint Optimization for Superlinear Gains
We consider using a battery storage system simultaneously for peak shaving
and frequency regulation through a joint optimization framework which captures
battery degradation, operational constraints and uncertainties in customer load
and regulation signals. Under this framework, using real data we show the
electricity bill of users can be reduced by up to 15\%. Furthermore, we
demonstrate that the saving from joint optimization is often larger than the
sum of the optimal savings when the battery is used for the two individual
applications. A simple threshold real-time algorithm is proposed and achieves
this super-linear gain. Compared to prior works that focused on using battery
storage systems for single applications, our results suggest that batteries can
achieve much larger economic benefits than previously thought if they jointly
provide multiple services.Comment: To Appear in IEEE Transaction on Power System
Optimal Regulation Response of Batteries Under Cycle Aging Mechanisms
When providing frequency regulation in a pay-for-performance market,
batteries need to carefully balance the trade-off between following regulation
signals and their degradation costs in real-time. Existing battery control
strategies either do not consider mismatch penalties in pay-for-performance
markets, or cannot accurately account for battery cycle aging mechanism during
operation. This paper derives an online control policy that minimizes a battery
owner's operating cost for providing frequency regulation in a
pay-for-performance market. The proposed policy considers an accurate
electrochemical battery cycle aging model, and is applicable to most types of
battery cells. It has a threshold structure, and achieves near-optimal
performance with respect to an offline controller that has complete future
information. We explicitly characterize this gap and show it is independent of
the duration of operation. Simulation results with both synthetic and real
regulation traces are conducted to illustrate the theoretical results
On fluctuations of global and mesoscopic linear eigenvalue statistics of generalized Wigner matrices
We consider an by real or complex generalized Wigner matrix ,
whose entries are independent centered random variables with uniformly bounded
moments. We assume that the variance profile, ,
satisfies , for all and for all with some constant . We
establish Gaussian fluctuations for the linear eigenvalue statistics of
on global scales, as well as on all mesoscopic scales up to the spectral edges,
with the expectation and variance formulated in terms of the variance profile.
We subsequently obtain the universal mesoscopic central limit theorems for the
linear eigenvalue statistics inside the bulk and at the edges respectively.Comment: Shortened the statement with refined proof. Updated the references
and corrected some typo
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