Optimal Control of Droop Controlled Inverters in Islanded Microgrids

Sahyoun, Samir; Djouadi, Seddik M.; Shankar, Mallikarjun

doi:10.1016/j.ifacol.2015.12.405

Cited by 10 publications

(6 citation statements)

References 15 publications

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“…However, this method causes system instability when the slop of the droop characteristics is too small [44]. Also, the deviation in system voltage and frequency from their specified values and hence, it cannot perform a proper power‐sharing in MG. A secondary controller is required as it cannot make a zero change in system frequency and voltage [45].…”

Section: Droop Control Methodsmentioning

confidence: 99%

Robust adaptive H‐infinity based controller for islanded microgrid supplying non‐linear and unbalanced loads

et al. 2019

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This study introduces a proposed control method for microgrids (MGs) in islanded (off-grid) mode. The proposed control method is developed by modifying the droop control method using H-infinity controller. In this control method, the droop control loop, current and voltage control loops are adjusted to respond to system load variation. The proposed method is an adaptive control one as it regulates the system voltage and frequency to their nominal values after system load variations. Also, it is a repetitive control method as it depends on the internal model principle that provides good performance for voltage and current error tracking. To prove the applicability and effectiveness of the proposed method, it is applied to a test system using MATLAB/Simulink under three different loading conditions. The results are compared with those of droop control and they prove the effectiveness of the proposed method in adjusting MGs under the off-grid mode of operation. Also, a system stability analysis is performed based on root locus and system step response. Robustness analysis is performed to prove the ability of the proposed controller to restore the system performance after the fault clearance.

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Section: Droop Control Methodsmentioning

confidence: 99%

Robust adaptive H‐infinity based controller for islanded microgrid supplying non‐linear and unbalanced loads

et al. 2019

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“…whose solution recovers the optimal decision variables (ρ opt , u opt ) for problem (9) via the mapping ρopt (ξ, t) = φ(ξ, t)ϕ(ξ, t), u opt (ξ, t) = ∇ ξ log ϕ(ξ, t). (11) We refer to the function pair (ϕ, φ) as the Schrödinger factors, so named since their product gives ρopt at all times, i.e., (ϕ, φ) comprise a factorization of ρopt . The optimally controlled joint state PDF ρ opt for (5) is then obtained as ρ opt (θ, t) = ρopt S −1 θ, t / ( n i=1 σ i ).…”

Section: Optimal Solutions and Schr öDinger Factors A First Order Casementioning

confidence: 99%

Schrödinger Meets Kuramoto via Feynman-Kac: Minimum Effort Distribution Steering for Noisy Nonuniform Kuramoto Oscillators

Nodozi¹,

Halder²

2022

Preprint

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We formulate and solve the problem of finite horizon minimum control effort steering of the state probability distribution between prescribed endpoint joints for a finite population of networked noisy nonuniform Kuramoto oscillators. We consider both the first and second order stochastic Kuramoto models. For numerical solution of the associated stochastic optimal control, we propose combining certain measure-valued proximal recursions and the Feynman-Kac path integral computation. We illustrate the proposed framework via numerical examples.

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“…In this paper, 12 the controller concept is a derivative term plus adaptive droop control. In Reference 13, a new model is proposed to define the droop constants and the drawback is difficulty in implementation of the controller and poor power sharing.…”

Section: Introductionmentioning

confidence: 99%

Implementation and comparison of droop control, virtual synchronous machine, and virtual oscillator control for parallel inverters in standalone microgrid

Gurugubelli

Ghosh

Panda

et al. 2021

Int Trans Electr Energ Syst

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Summary In recent times, renewable energy sources (RESs) have been potential alternatives over the conventional generation systems connected to the grid. The power electronic inverters are the principal media of interface for connecting the RESs to the utility grid system. This work is primarily focused on the comparative analysis of Droop, virtual synchronous machine (VSM), and virtual oscillator control (VOC) techniques for the parallel operated inverters in a standalone Microgrid (MG). Droop control emulates only the droop characteristics of synchronous machines such that the transient response of this controller is not significant. VSM imitates not only the droop characteristics of synchronous machines but also the swing equation. Therefore, VSM has a remarkable difference in the dynamic performance of the system. In droop and VSM, the feedback signals such as voltage and current are measured to calculate the averaged real and reactive powers. However, the VOC works on instantaneous feedback signals such that it achieves much faster synchronization and good power‐sharing. The philosophy of the proposed VOC is to control an inverter such that it emulates the behavior of a nonlinear dead‐zone oscillator. The performance analysis of the system with the aforementioned controllers has been studied based on MATLAB/Simulink and Opal‐RT digital simulation. From the comparative analysis, it is observed that the VOC gives a better performance compared to droop and VSM control. The experimental results show the efficacy of the proposed VOC control method.

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Optimal Control of Droop Controlled Inverters in Islanded Microgrids

Cited by 10 publications

References 15 publications

Robust adaptive H‐infinity based controller for islanded microgrid supplying non‐linear and unbalanced loads

Robust adaptive H‐infinity based controller for islanded microgrid supplying non‐linear and unbalanced loads

Schrödinger Meets Kuramoto via Feynman-Kac: Minimum Effort Distribution Steering for Noisy Nonuniform Kuramoto Oscillators

Implementation and comparison of droop control, virtual synchronous machine, and virtual oscillator control for parallel inverters in standalone microgrid

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