scholarly journals Nonlinear Systems of Volterra Equations with Piecewise Smooth Kernels: Numerical Solution and Application for Power Systems Operation

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1257 ◽  
Author(s):  
Denis Sidorov ◽  
Aleksandr Tynda ◽  
Ildar Muftahov ◽  
Aliona Dreglea ◽  
Fang Liu

The evolutionary integral dynamical models of storage systems are addressed. Such models are based on systems of weakly regular nonlinear Volterra integral equations with piecewise smooth kernels. These equations can have non-unique solutions that depend on free parameters. The objective of this paper was two-fold. First, the iterative numerical method based on the modified Newton–Kantorovich iterative process is proposed for a solution of the nonlinear systems of such weakly regular Volterra equations. Second, the proposed numerical method was tested both on synthetic examples and real world problems related to the dynamic analysis of microgrids with energy storage systems.


2021 ◽  
Vol 197 ◽  
pp. 107328
Author(s):  
Vassilis C. Nikolaidis ◽  
Kostantinos Z. Ioannidis ◽  
John M. Prousalidis


Energies ◽  
2021 ◽  
Vol 14 (5) ◽  
pp. 1379
Author(s):  
Md Ruhul Amin ◽  
Michael Negnevitsky ◽  
Evan Franklin ◽  
Kazi Saiful Alam ◽  
Seyed Behzad Naderi

In power systems, high renewable energy penetration generally results in conventional synchronous generators being displaced. Hence, the power system inertia reduces, thus causing a larger frequency deviation when an imbalance between load and generation occurs, and thus potential system instability. The problem associated with this increase in the system’s dynamic response can be addressed by various means, for example, flywheels, supercapacitors, and battery energy storage systems (BESSs). This paper investigates the application of BESSs for primary frequency control in power systems with very high penetration of renewable energy, and consequently, low levels of synchronous generation. By re-creating a major Australian power system separation event and then subsequently simulating the event under low inertia conditions but with BESSs providing frequency support, it has been demonstrated that a droop-controlled BESS can greatly improve frequency response, producing both faster reaction and smaller frequency deviation. Furthermore, it is shown via detailed investigation how factors such as available battery capacity and droop coefficient impact the system frequency response characteristics, providing guidance on how best to mitigate the impact of future synchronous generator retirements. It is intended that this analysis could be beneficial in determining the optimal BESS capacity and droop value to manage the potential frequency stability risks for a future power system with high renewable energy penetrations.





2005 ◽  
Vol 93 (11) ◽  
pp. 2013-2025 ◽  
Author(s):  
M. Shahidehpour ◽  
F. Tinney ◽  
Yong Fu


This paper provides the management methods of AC & DC smart grids. AC smart grids square measure a convenient approach to integration distributed energy systems with utility power systems. Smart grid may be a arrangement of smart generators, fuel cell, storage systems and masses. DC micro grids will cause additional economical integration of distributed generation. The methods of smart grids measure completely by the management of converters. In solar panel maximum cost utilized in storage systems like battery. In this paper a latest method has been recommended to replace the battery with fuel cell. Stored hydrogen used as a fuel which generate electricity. In this type of hydrogen storage system efficiency is not more than 55 percentages. This paper explaining about the scheme of the management methods of converter and the management methods of smart grids in each AC & DC conditions



Sign in / Sign up

Export Citation Format

Share Document