Model Reduction of Multiscale Chemical Langevin Equations: A Numerical Case Study

2009 ◽  
Vol 6 (3) ◽  
pp. 470-482 ◽  
Author(s):  
V. Sotiropoulos ◽  
M.-N. Contou-Carrere ◽  
P. Daoutidis ◽  
Y.N. Kaznessis
Keyword(s):  
Model Reduction ◽  
Langevin Equations ◽  
Numerical Case Study

Model reduction of multi-scale chemical Langevin equations

2011 ◽  
Vol 60 (1) ◽  
pp. 75-86 ◽  
Author(s):  
Marie-Nathalie Contou-Carrere ◽  
Vassilios Sotiropoulos ◽  
Yiannis N. Kaznessis ◽  
Prodromos Daoutidis
Keyword(s):  
Model Reduction ◽  
Langevin Equations ◽  
Multi Scale

scholarly journals A time-of-use based electricity price package mechanism in retail market considering consumers’ diversity

2020 ◽  
Vol 182 ◽  
pp. 02009
Author(s):  
Gang Luo ◽  
Yujun He ◽  
Chen Zhao ◽  
Xuan Zhang ◽  
Shaohua Lin ◽  
...  
Keyword(s):  
Energy Demand ◽  
Electricity Price ◽  
Demand Elasticity ◽  
Energy Price ◽  
Retail Market ◽  
Specific Time ◽  
Optimal Price ◽  
Numerical Case Study

In the deregulated retail market, consumers should have more right of choice for paying for their energy demand. This paper focuses on the design of electricity price package mechanism in retail market considering the demand elasticity of consumers. An optimal price package mechanism is proposed to incentivize consumers for peak-clipping/valley-filling. Consumers are able to choose the appropriate one from a set of price packages, each of which consists of specific time-of-use energy price and maximum-demand price. A numerical case study has shown the usefulness and effectiveness of the proposed mechanism.

scholarly journals Spectral analysis of multiple cracked beam subjected to moving load

2014 ◽  
Vol 36 (4) ◽  
pp. 245-254
Author(s):  
N. T. Khiem ◽  
P. T. Hang
Keyword(s):  
Dynamic Response ◽  
Moving Load ◽  
Time History ◽  
Theoretical Development ◽  
Multiple Cracks ◽  
Spectral Approach ◽  
Cracked Beam ◽  
Time History Response ◽  
Numerical Case Study

In present paper, the spectral approach is proposed for analysis of multiple cracked beam subjected to general moving load that allows us to obtain explicitly dynamic response of the beam in frequency domain. The obtained frequency response is straightforward to calculate time history response by using the FFT algorithm and provides a novel tool to investigate effect of position and depth of multiple cracks on the dynamic response. The analysis is important to develop the spectral method for identification of multiple cracked beam by using its response to moving load. The theoretical development is illustrated and validated by numerical case study.

scholarly journals Multidispatch for Microgrid including Renewable Energy and Electric Vehicles with Robust Optimization Algorithm

Energies ◽  
2020 ◽  
Vol 13 (11) ◽  
pp. 2813 ◽  
Author(s):  
Ruifeng Shi ◽  
Penghui Zhang ◽  
Jie Zhang ◽  
Li Niu ◽  
Xiaoting Han
Keyword(s):  
Renewable Energy ◽  
Robust Optimization ◽  
Electric Vehicles ◽  
Optimization Algorithm ◽  
Environmental Cost ◽  
Uncertain Variables ◽  
System A ◽  
Ev Charging ◽  
Numerical Case Study

With the deterioration of the environment and the depletion of fossil fuel energy, renewable energy has attracted worldwide attention because of its continuous availability from nature. Despite this continuous availability, the uncertainty of intermittent power is a problem for grid dispatching. This paper reports on a study of the scheduling and optimization of microgrid systems for photovoltaic (PV) power and electric vehicles (EVs). We propose a mathematical model to address the uncertainty of PV output and EV charging behavior, and model scheduling optimization that minimizes the economic and environmental cost of a microgrid system. A semi-infinite dual optimization model is then used to deal with the uncertain variables, which can be solved with a robust optimization algorithm. A numerical case study shows that the security and stability of the solution obtained by robust optimization outperformed that of stochastic optimization.

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