Fractional-order model predictive frequency control of an islanded microgrid

Min-Rong CHEN; Guo-Qiang ZENG; Yu-Xing DAI; Kang-Di LU; Da-Qiang BI

doi:10.3390/en12010084

Fractional-order model predictive frequency control of an islanded microgrid

Min-Rong CHEN
, Guo-Qiang ZENG
, Yu-Xing DAI
, Kang-Di LU^*
, Da-Qiang BI

^*Corresponding author for this work

Research output: Journal Publications › Journal Article (refereed) › peer-review

63 Citations (Scopus)

Abstract

Optimal frequency control of an islanded microgrid has been a challenging issue in the research field of microgrids. Recently, fractional-order calculus theory and some related control methods have attempted to handle this issue. In this paper, a novel fractional-order model predictive control (FOMPC) method is proposed to achieve the optimal frequency control of an islanded microgrid by introducing a fractional-order integral cost function into model predictive control (MPC) algorithm. Firstly, a discrete state-space model is derived for the optimal frequency control problem of an islanded microgrid. Afterward, a fractional-order integral cost function is designed to guide the FOMPC algorithm to obtain optimal control law by borrowing the Grünwald-Letnikov (GL) definition of fractional order calculus. Six simulation studies have been carried out to illustrate the superiority of FOMPC to conventional MPC under dynamical load disturbances, perturbed system parameters and random dynamical power fluctuation of wind turbines.

Original language	English
Article number	84
Number of pages	21
Journal	Energies
Volume	12
Issue number	1
Early online date	28 Dec 2019
DOIs	https://doi.org/10.3390/en12010084
Publication status	Published - 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2018 by the authors.

Funding

This work was funded by National Natural Science Foundation of China (No. 61872153), Natural Science Foundation of Guangdong Province (No. 2018A030313318), and Zhejiang Provincial Natural Science Foundation of China (Grant Nos. LY16F030011 and LZ16E050002).

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 7 Affordable and Clean Energy

Keywords

Cost function
Fractional-order calculus
Islanded microgrid
Model predictive control
Optimal frequency control

Access to Document

10.3390/en12010084Licence: CC BY

Cite this

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title = "Fractional-order model predictive frequency control of an islanded microgrid",

abstract = "Optimal frequency control of an islanded microgrid has been a challenging issue in the research field of microgrids. Recently, fractional-order calculus theory and some related control methods have attempted to handle this issue. In this paper, a novel fractional-order model predictive control (FOMPC) method is proposed to achieve the optimal frequency control of an islanded microgrid by introducing a fractional-order integral cost function into model predictive control (MPC) algorithm. Firstly, a discrete state-space model is derived for the optimal frequency control problem of an islanded microgrid. Afterward, a fractional-order integral cost function is designed to guide the FOMPC algorithm to obtain optimal control law by borrowing the Gr{\"u}nwald-Letnikov (GL) definition of fractional order calculus. Six simulation studies have been carried out to illustrate the superiority of FOMPC to conventional MPC under dynamical load disturbances, perturbed system parameters and random dynamical power fluctuation of wind turbines.",

keywords = "Cost function, Fractional-order calculus, Islanded microgrid, Model predictive control, Optimal frequency control",

author = "Min-Rong CHEN and Guo-Qiang ZENG and Yu-Xing DAI and Kang-Di LU and Da-Qiang BI",

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year = "2019",

doi = "10.3390/en12010084",

language = "English",

volume = "12",

journal = "Energies",

issn = "1996-1073",

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AU - CHEN, Min-Rong

AU - ZENG, Guo-Qiang

AU - DAI, Yu-Xing

AU - LU, Kang-Di

AU - BI, Da-Qiang

PY - 2019

Y1 - 2019

N2 - Optimal frequency control of an islanded microgrid has been a challenging issue in the research field of microgrids. Recently, fractional-order calculus theory and some related control methods have attempted to handle this issue. In this paper, a novel fractional-order model predictive control (FOMPC) method is proposed to achieve the optimal frequency control of an islanded microgrid by introducing a fractional-order integral cost function into model predictive control (MPC) algorithm. Firstly, a discrete state-space model is derived for the optimal frequency control problem of an islanded microgrid. Afterward, a fractional-order integral cost function is designed to guide the FOMPC algorithm to obtain optimal control law by borrowing the Grünwald-Letnikov (GL) definition of fractional order calculus. Six simulation studies have been carried out to illustrate the superiority of FOMPC to conventional MPC under dynamical load disturbances, perturbed system parameters and random dynamical power fluctuation of wind turbines.

AB - Optimal frequency control of an islanded microgrid has been a challenging issue in the research field of microgrids. Recently, fractional-order calculus theory and some related control methods have attempted to handle this issue. In this paper, a novel fractional-order model predictive control (FOMPC) method is proposed to achieve the optimal frequency control of an islanded microgrid by introducing a fractional-order integral cost function into model predictive control (MPC) algorithm. Firstly, a discrete state-space model is derived for the optimal frequency control problem of an islanded microgrid. Afterward, a fractional-order integral cost function is designed to guide the FOMPC algorithm to obtain optimal control law by borrowing the Grünwald-Letnikov (GL) definition of fractional order calculus. Six simulation studies have been carried out to illustrate the superiority of FOMPC to conventional MPC under dynamical load disturbances, perturbed system parameters and random dynamical power fluctuation of wind turbines.

KW - Cost function

KW - Fractional-order calculus

KW - Islanded microgrid

KW - Model predictive control

KW - Optimal frequency control

UR - https://www.scopus.com/pages/publications/85060018212

U2 - 10.3390/en12010084

DO - 10.3390/en12010084

M3 - Journal Article (refereed)

AN - SCOPUS:85060018212

SN - 1996-1073

VL - 12

JO - Energies

JF - Energies

IS - 1

M1 - 84

ER -

Fractional-order model predictive frequency control of an islanded microgrid

Abstract

Bibliographical note

Funding

UN SDGs

Keywords

Access to Document

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