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Distributed robust control of frequency and active power-sharing ratio regulation in islanded AC microgrids

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Abstract

This paper proposes a distributed robust frequency control (DRFC) scheme for industrial applications that can effectively adjust the frequency and regulate the active power-sharing ratio of islanded microgrids (MGs). The proposed method also enhances the H∞ performance and the transient response of the MGs by imposing pole placement constraints in the linear matrix inequality (LMI) framework. The proposed scheme utilizes the information on active power and frequency deviations of each distributed generator (DG) and its neighboring DGs to generate an auxiliary control signal implemented by the secondary control layer. The auxiliary control signal improves the input of the droop controller block at the primary control layer, ensuring both frequency regulation and proportional active power-sharing among the DGs. To show the robustness of this novel feature, an AC-islanded MG is simulated under various load and fault scenarios. The simulation results demonstrate the effectiveness and efficiency of the proposed scheme in stabilizing the frequency and damping ratio of the MG while maintaining an active power-sharing balance.

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Abbreviations

ω i :

The angular frequency of DGi

ω ni :

The nominal angular frequency

m Pi , n Qi :

The droop slopes

P i(Q i):

The active (reactive) power of DGi

v * odi , v * oqi :

The dq components of reference voltage

v ni :

The nominal voltage

ω ci :

The cutoff frequency of low-pass filter

v odi , v oqi (i odi , i oqi):

The dq components of the point of common coupling voltage (current)

φ di, φ qi, γ di , γ qi :

The axillary state variables

Fi:

The constant coefficient

ω b :

The nominal angular value

C fi , L fi , R fi :

The parameter of low-pass filter (µF, mH, Ω)

i ldi , i lqi(v * idi , v * iqi):

The dq component of the current (voltage) controller output

R ci , L ci :

The parameter of the output connector (Ω, mH)

R li , L li :

The parameter of the line (Ω, µH)

i ldi , i lqi :

The dq component of the output current of the inverter bridge

K PVi , K IVi :

The PI gains of the voltage controller

K PCi , K ICi :

The PI gains of the current controller

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Authors and Affiliations

  1. Department of Electrical Engineering, Shahed University, Tehran, Iran

    Fatemeh Zare-Mirakabad, Mohammad-Hosein Kazemi & Aref Doroudi

Authors
  1. Fatemeh Zare-Mirakabad
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  2. Mohammad-Hosein Kazemi
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  3. Aref Doroudi
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Contributions

Please be informed that Mrs. Fatemeh Zare-Mirakabad is a PhD student in the course of Mohammad-Hosein Kazemi, who is about to graduate. This article is the result of her work in PhD thesis under my supervision. Mr. Dr. Aref Daroudi, who is an expert in the field of power and microgrids, is a consulting professor who has edited the power parts of the article, and I have also edited the control parts, and Mrs. Zare has been responsible for the implementation of the work and preparation of the structure of the article.

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Correspondence to Mohammad-Hosein Kazemi.

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Zare-Mirakabad, F., Kazemi, MH. & Doroudi, A. Distributed robust control of frequency and active power-sharing ratio regulation in islanded AC microgrids. Electr Eng (2024). https://doi.org/10.1007/s00202-024-02307-w

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