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Maximum sensitivity-constrained coefficient diagram method-based PIDA controller design: application for load frequency control of an isolated microgrid

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Abstract

This paper proposes an improved coefficient diagram method (CDM) for proportional integral derivative acceleration (PIDA) controller design. In the improved CDM, stability indices are obtained using a graphical approach based on the maximum sensitivity constraints. The stability indices play an important role in the designing of the controller and stability of the closed-loop control system. Further, the improved CDM is utilized to compute the analytical expressions for the coefficients gain of PIDA controller. From the application point of view, the proposed control approach is designed for load frequency control (LFC) of an isolated microgrid (IMG). In IMG, the generators cannot supply constant electrical power and sometimes cause an imbalance between power generation and demand. Thus, LFC scheme is applied to maintain the balance between power generation and demand. The effectiveness and robustness of proposed control approach are analyzed for IMG system under \(\pm 50\)% parametric uncertainty, random load demand, random solar and wind power deviation profile. The efficacy and performance of proposed control approach are examined in comparison with the published PID, 2DOF-PID and PIDA control schemes.

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  1. Electrical Engineering Department, Indian Institute of Technology Roorkee, Roorkee, India

    Mahendra Kumar & Yogesh V. Hote

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  1. Mahendra Kumar
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  2. Yogesh V. Hote
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Correspondence to Mahendra Kumar.

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Kumar, M., Hote, Y.V. Maximum sensitivity-constrained coefficient diagram method-based PIDA controller design: application for load frequency control of an isolated microgrid. Electr Eng 103, 2415–2429 (2021). https://doi.org/10.1007/s00202-021-01226-4

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  • DOI: https://doi.org/10.1007/s00202-021-01226-4

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