Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations

Co-simulation is an emerging method for cyber-physical energy system (CPES) assessment and validation. Combining simulators of different domains into a joint experiment, co-simulation provides a holistic framework to consider the whole CPES at system level. In this paper, we present a systematic structuration of co-simulation based on a conceptual point of view. A co-simulation framework is then considered in its conceptual, semantic, syntactic, dynamic and technical layers. Coupling methods are investigated and classified according to these layers. This paper would serve as a solid theoretical base for specification of future applications of co-simulation and selection of coupling methods in CPES assessment and validation.

show abstract

“…Discretized WRM and applications of WRM to discrete systems [67,68] is still a new research subject.…”

Section: Waveform Relaxation Methodsmentioning

confidence: 99%

On Conceptual Structuration and Coupling Methods of Co-Simulation Frameworks in Cyber-Physical Energy System Validation

et al. 2017

View full text Add to dashboard Cite

show abstract

“…In recent years, some numerical methods have been proposed for solving FDAEs. Researchers investigated the numerical solutions of FDAEs by using various methods [15][16][17][18][19][20][21][22]. However, most of the methods cannot be used directly for solving the FDAEs modelled for mechanical systems or established with an engineering background.…”

Section: Introductionmentioning

confidence: 99%

A Numerical Method for a System of Fractional Differential-Algebraic Equations Based on Sliding Mode Control

et al. 2020

View full text Add to dashboard Cite

Fractional calculus is widely used in engineering fields. In complex mechanical systems, multi-body dynamics can be modelled by fractional differential-algebraic equations when considering the fractional constitutive relations of some materials. In recent years, there have been a few works about the numerical method of the fractional differential-algebraic equations. However, most of the methods cannot be directly applied in the equations of dynamic systems. This paper presents a numerical algorithm of fractional differential-algebraic equations based on the theory of sliding mode control and the fractional calculus definition of Grünwald–Letnikov. The algebraic equation is considered as the sliding mode surface. The validity of the present method is verified by comparing with an example with exact solutions. The accuracy and efficiency of the present method are studied. It is found that the present method has very high accuracy and low time consumption. The effect of violation corrections on the accuracy is investigated for different time steps.

show abstract

Solving variable-order fractional differential algebraic equations via generalized fuzzy hyperbolic model with application in electric circuit modeling

2020

View full text Add to dashboard Cite

Discrete Waveform Relaxation Method for Linear Fractional Delay Differential-Algebraic Equations

Cited by 4 publications

References 34 publications

On Conceptual Structuration and Coupling Methods of Co-Simulation Frameworks in Cyber-Physical Energy System Validation

On Conceptual Structuration and Coupling Methods of Co-Simulation Frameworks in Cyber-Physical Energy System Validation

A Numerical Method for a System of Fractional Differential-Algebraic Equations Based on Sliding Mode Control

Solving variable-order fractional differential algebraic equations via generalized fuzzy hyperbolic model with application in electric circuit modeling

Contact Info

Product

Resources

About