A Stochastic Power Network Calculus for Integrating Renewable Energy Sources into the Power Grid

Abstract

Renewable energy such as solar and wind generation will constitute an important part of the future grid. As the availability of renewable sources may not match the load, energy storage is essential for grid stability. In this paper we investigate the feasibility of integrating solar photovoltaic (PV) panels and wind turbines into the grid by also accounting for energy storage. To deal with the fluctuation in both the power supply and demand, we extend and apply stochastic network calculus to analyze the power supply reliability with various renewable energy configurations. To illustrate the validity of the model, we conduct a case study for the integration of renewable energy sources into the power system of an island off the coast of Southern California. In particular, we asses the power supply reliability in terms of the average Fraction of Time that energy is Not-Served (FTNS).

Solar Power Shaping: An Analytical Approach

“…(4), if we know a lower bound on max 0≤s≤t S(s, t), then we can compute a lower bound (envelope) on the SoC. Several recent papers [26], [27], [28], use the well-known statistical sample path envelopes [18] for this matter; solar power S is characterized by a statistical sample path lower envelope G and a bounding function ε such that at any time t ≥ 0 and for any σ Pr max…”

“…The existing analytical methods [11], [26], [27], [28] are more efficient than repeated simulations, but have two drawbacks. First, they are based on strong assumptions, throwing into question the validity of the obtained results.…”

Modelling of Distributed Energy Resources in Industrial Context Using Service Curves of Network Calculus

“…There exist other research papers on modelling of storage systems. For instance, in [6] and [14], the authors used stochastic network calculus to model energy storage systems.…”

Evaluation of the Fluid Model Approach for the Sizing of Energy Storage in Wave-Wind Energy Systems

“…Among these continuous time Markov chain models, authors apply the fluid model to a battery for simulating the operation in [27], and Ghiassi-Farrokhfal et al and Wang et al [28,29] model the non-ideal storage system as an ideal storage system similar to a teletraffic buffer. Besides, they use network calculus approach to analyze this storage system model.…”