Free vibration of a nanogrid based on Eringen’s stress gradient model

Hozhabrossadati, Seyed Mojtaba; Challamel, Noël; Rezaiee‐Pajand, Mohammad; Sani, Ali Mohamadi

doi:10.1080/15397734.2020.1720720

Cited by 9 publications

(6 citation statements)

References 47 publications

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“…Several control topologies can be used to implement SSM and DSM with various levels of success. Using μG control topologies, the implementation of supply-side management has been presented [9].…”

Section: Literature Reviewmentioning

confidence: 99%

Analysis and simulation of optimized micro-grid

Ali¹,

Usman²,

Aziz³

et al. 2022

murjet

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The centralized power grid bears a heavy burden in a time when consumers expect an uninterrupted reliable power supply, a reduction in carbon emissions, increased efficiency within the national grid, and power supplied to remote communities. One such structure is used to implement this type of control that is based on small- scale Distributed Generation (DGs), at a single house or a small building level: micro-grid (μG). A μG is an autonomous, sustainable hybrid framework that uses renewable and non-renewable energy resources to supply continuous electricity to the load. Taking this scenario into account, the three sources of generation that have been utilized in the proposed μG are Photovoltaic (PV) array, Fuel Cell (FC), and Wind Turbine (WT) in this research paper. The active and reactive power of all three generation resources has been controlled using various controllers, i.e., integral, proportional-integral, proportional derivative, proportional integral derivative, fractional-order proportional-integral, Fractional Order Proportional Integral Derivative (FOPID), and Sliding Mode Controller (SMC). An advanced optimization technique based on a Genetic Algorithm (GA) and Particle Swarm Optimization (PSO) algorithm has been utilized to optimize all these controllers. The integral square error has been taken as the objective function for both optimization algorithms. Finally, a graphical and tabular comparative analysis of all optimized controllers along with their control parameters and performance indexes has been evaluated to find the best optimal solution using MATLAB/Simulink. The performance of SMC has been surpassed the performance of all other optimized controllers for the power stability analysis. Moreover, a smart switching algorithm has been introduced for switching between the generation resources following the load demand and cost of the system to operate the μG more economically. Finally, a case study has been performed in which the smart switching algorithm has been utilized to switch to the best available generation resource in case of any fault at the generation side to provide uninterrupted power to the attached loads.

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Section: Literature Reviewmentioning

confidence: 99%

Analysis and simulation of optimized micro-grid

Ali¹,

Usman²,

Aziz³

et al. 2022

murjet

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“…Here, the assumption is that the nonlocality introduces a coupling between the responses at different points that belong to the same frame/truss member, to an extent depending on the internal length . Recognize that this assumption is made also in the previous works on small-size frames/trusses (Numanoğlu and Civalek, 2019;Hozhabrossadati et al, 2020), where Eringen's differential model ( 1983) was used to build stiffness and mass matrices of a two-node nonlocal finite element. Remark 6.…”

Section: = ( mentioning

confidence: 99%

“…However, the studies by Numanoğlu and Civalek (2019) and Hozhabrossadati et al (2020), dealing with dynamics of nanostructural systems via nonlocal finite elements, are based on Eringen's differential formulation which leads to mechanical paradoxes and unviable elastic responses (Peddieson et al, 2003), a conclusion acknowledged by the community of Engineering Science (Fernández-Sáez et al, 2016). Lack of alternative technically significant contributions on the matter may also be attributed to the fact that not all size-dependent theories allow for formulating stiffness, mass matrices and nodal forces to be assembled in 2D and 3D frames/trusses.…”

Section: Introductionmentioning

confidence: 98%

“…Typical shape functions of a two-node local element have been exploited, with bending modelled by Bernoulli-Euler kinematic theory. A further recent contribution in this field has been given by Hozhabrossadati et al (2020), who developed a two-node six-degree-offreedom beam element for free-vibrations of 3D nano-grids. Separate stiffness and mass matrices have been derived treating axial, bending and torsional responses by Eringen's differential law and weighted residual method.…”

Section: Introductionmentioning

confidence: 99%

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On the dynamics of nano-frames

Russillo

Failla

Alotta

et al. 2021

International Journal of Engineering Science

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In this paper, size-dependent dynamic responses of small-size frames are modelled by stressdriven nonlocal elasticity and assessed by a consistent finite-element methodology. Starting from uncoupled axial and bending differential equations, the exact dynamic stiffness matrix of a two-node stress-driven nonlocal beam element is evaluated in a closed form. The relevant global dynamic stiffness matrix of an arbitrarily-shaped small-size frame, where every member is made of a single element, is built by a standard finite-element assembly procedure. The Wittrick-Williams algorithm is applied to calculate natural frequencies and modes. The developed methodology, exploiting the one conceived for straight beams in [International Journal of Engineering Science 115, 14-27 (2017)], is suitable for investigating size-dependent free vibrations of small-size systems of current applicative interest in Nano-Engineering, such as carbon nanotube networks and polymer-metal micro-trusses.

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“…Mechanical structure models such as rod [1][2][3][4][5][6][7][8][9][10][11] and beam [12][13][14][15][16][17][18][19][20][21][22][23][24][25] form the basis of studies in the nonlocal mechanics of nanostructures. Also, recently, studies that mention mechanical analyses with nonlocal elasticity of discrete structures such as truss and frame [26][27][28] have entered the scientific literature.…”

Section: Introductionmentioning

confidence: 99%

Examination of How Size-Effect Modifies the Stiffness and Mass Matrices of Nanotrusses/Nanoframes

Numanoğlu

2021

International Journal of Engineering and Applied Sciences

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The effect of the nonlocal parameter on the free vibration analysis of nano scaled trusses and frames is examined. Accordingly, firstly, the axial and bending vibrations of the nano scaled longitudinal element are formulated. Simple rod and Euler-Bernoulli assumptions are considered for axial and bending vibrations, respectively. Finite element matrices are obtained by applying the average weighted residue to the nonlocal equation of motion for free vibration. These matrices are combined according to the freedoms of longitudinal element and the matrix displacement method is explained for structures consisting of discrete longitudinal elements. It is discussed how the classical stiffness and mass matrices are modified by the atomic parameter.

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Free vibration of a nanogrid based on Eringen’s stress gradient model

Cited by 9 publications

References 47 publications

Analysis and simulation of optimized micro-grid

Analysis and simulation of optimized micro-grid

On the dynamics of nano-frames

Examination of How Size-Effect Modifies the Stiffness and Mass Matrices of Nanotrusses/Nanoframes

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