GPU Based Modelling and Analysis for Parallel Fractional Order Derivative Model of the Spiral-Plate Heat Exchanger

Dong, Guan-Qiang; Deng, Mingcong

doi:10.3390/axioms10040344

Cited by 7 publications

(3 citation statements)

References 22 publications

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“…Thus, due to the disturbances, control performance is poor in conventional control methods. According to the law of heat energy balance of two fluids, the fractional-order derivative model for the spiral-plate counter-flow heat exchanger (See Appendix A) is derived as follows [31].…”

Section: Statement Problemmentioning

confidence: 99%

Operator-Based Fractional-Order Nonlinear Robust Control for the Spiral Heat Exchanger Identified by Particle Swarm Optimization

Dong

Deng

2022

Electronics

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Fractional-order calculus and derivative is extended from integral-order calculus and derivative. This paper investigates a nonlinear robust control problem using fractional order and operator theory. In order to improve the tracking performance and antidisturbance ability, operator- and fractional-order-based nonlinear robust control for the spiral counter-flow heat exchanger described by the parallel fractional-order model (PFOM) is proposed. The parallel fractional-order model for the spiral counter-flow heat exchanger was identified by particle swarm optimization (PSO) and the parameters of a fractional-order PID (FOPID) controller were optimized by the PSO. First, the parallel fractional-order mathematical model for a spiral counter-flow heat exchanger plant was identified by PSO. Second, a fractional-order PID controller and operator controller for the spiral heat exchanger were designed under the identified parallel fractional-order mathematical model. Third, the parameters of the operator and fractional-order PID were optimized by PSO. Then, tracking and antidisturbance performance of the control system were analyzed. Finally, comparisons of two control schemes were performed, and the effectiveness illustrated.

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Section: Statement Problemmentioning

confidence: 99%

Operator-Based Fractional-Order Nonlinear Robust Control for the Spiral Heat Exchanger Identified by Particle Swarm Optimization

Dong

Deng

2022

Electronics

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“…For example, Nauman and co-authors investigated a fractional-order system of malaria pestilence with the stability of the model at equilibrium points in [10]. GPU-based modeling is considered with a parallel fractional-order derivative in [11]. The boundary-value problems containing fractional derivatives and fractional integral boundary conditions were considered in [12].…”

Section: Introductionmentioning

confidence: 99%

A capable numerical meshless scheme for solving distributed order time-fractional reaction-diffusion equation

Hesameddini

Habibirad

Azin

2022

Preprint

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Distributed order fractional differential equations are efficient in describing physical phenomena because of the differential order distribution. In this paper, the distributed order time-fractional reaction-diffusion equation is considered in the sense of Caputo fractional derivative. A hybrid method is developed based on the Moving Kriging (MK) interpolation and finite difference method for solving this distributed order equation. First, the distributed integral is discretized by the $M$-point Gauss Legendre quadrature rule. Then, the $L2-1_{\sigma}$ method is applied to approximate the solution of the fractional derivative discretization. Also, the unconditionally stability and rate of convergence $O(\tau^{2})$ of the time-discrete technique are illustrated. Furthermore, the MK interpolation is applied in the space variables discretization. Finally, some examples are presented to indicate the efficiency of this method and endorsement the theoretical results.

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“…The article [2] is devoted to studying GPU-based modeling for a parallel fractionalorder derivative model of the spiral-plate heat exchanger. As pointed out by the authors, a spiral-plate heat exchanger with two fluids is a compact plant that only requires a small space and is excellent in high heat-transfer efficiency.…”

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confidence: 99%

Fractional Calculus—Theory and Applications

Macías‐Díaz

2022

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GPU Based Modelling and Analysis for Parallel Fractional Order Derivative Model of the Spiral-Plate Heat Exchanger

Cited by 7 publications

References 22 publications

Operator-Based Fractional-Order Nonlinear Robust Control for the Spiral Heat Exchanger Identified by Particle Swarm Optimization

Operator-Based Fractional-Order Nonlinear Robust Control for the Spiral Heat Exchanger Identified by Particle Swarm Optimization

A capable numerical meshless scheme for solving distributed order time-fractional reaction-diffusion equation

Fractional Calculus—Theory and Applications

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