An integrated energy system (IES) is a promising energy-saving technology. With the advancement of technology and deregulation of the energy market, numerous distributed energy systems (DESs) will be accessed in the IES with various trading modes in the future. This makes it even more challenging to evaluate the fair energy selling price of IES, which is of great concern to market regulators and participants. To address this issue, this study proposes a risk-neutral pricing method for IES based on geometric Brownian motions. First, geometric Brownian motions are introduced to characterize the uncertainty feature of the energy price of the DESs. Then, we propose a stochastic partial differential equation (SPDE) for the energy price of an IES by utilizing the Ito lemma and the properties of the martingale under the risk-neutral measure. Finally, sensitivity analyses of the proposed SPDE on the volatilities and two types of correlation coefficients are conducted by implementing the proposed model in the given scenario.
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http://dx.doi.org/10.1016/j.heliyon.2024.e38140 | DOI Listing |
J Environ Manage
February 2025
Graduate School of Media and Governance, Keio University, 5322 Endo, Fujisawa City, Kanagawa Prefecture, 252-0882, Japan. Electronic address:
The adoption of residential renewable energy is pivotal for achieving the 'Net Zero' goal, yet financial assessments of household investments in this area remain complex due to dynamic market conditions. This study introduces a novel closed-form financial valuation framework for residential solar photovoltaic (PV) systems, explicitly addressing the uncertainties of electricity market price fluctuations (market risk) and energy policy changes (policy risk) using Geometric Brownian Motion (GBM). A case study in France demonstrates the framework's application, revealing that the discount rate is the most influential factor in solar PV valuation, followed by system lifespan and policy-driven Feed-in Tariff (FiT) rates.
View Article and Find Full Text PDFJ Neural Eng
January 2025
Center for Complex Systems & Brain Sciences (CEMSC3), Escuela de Ciencia y Tecnología, Universidad Nacional de San Martín, Buenos Aires, Argentina.
. Magnetic resonance imaging (MRI), functional MRI (fMRI) and other neuroimaging techniques are routinely used in medical diagnosis, cognitive neuroscience or recently in brain decoding. They produce three- or four-dimensional scans reflecting the geometry of brain tissue or activity, which is highly correlated temporally and spatially.
View Article and Find Full Text PDFSci Rep
November 2024
Institute of Physics, Faculty of Science and Technology, Jan Długosz University in Częstochowa, 13/15 Armii Krajowej Ave., Czestochowa, 42200, Poland.
The geometric Brownian motion (GBM) is widely used for modeling stochastic processes, particularly in finance. However, its solutions are constrained by the assumption that the underlying distribution of returns follows a log-normal distribution. This assumption limits the predictive power of GBM, especially in capturing the complexities of real-world data, where deviations from log-normality are common.
View Article and Find Full Text PDFMolecules
October 2024
CNRS - Université de Montréal CRM-CNRS, 6128 Succ Centre-Ville, Montréal, QC H3C 3J7, Canada.
How many times can a diffusing molecule permeate across a membrane or be adsorbed on a substrate? We employ an encounter-based approach to find the statistics of adsorption or permeation events for molecular diffusion in a general confining medium. Various features of these statistics are illustrated for two practically relevant cases: a flat boundary and a spherical confinement. Some applications of these fundamental results are discussed.
View Article and Find Full Text PDFAn integrated energy system (IES) is a promising energy-saving technology. With the advancement of technology and deregulation of the energy market, numerous distributed energy systems (DESs) will be accessed in the IES with various trading modes in the future. This makes it even more challenging to evaluate the fair energy selling price of IES, which is of great concern to market regulators and participants.
View Article and Find Full Text PDFEnter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!