Current injection‐based Newton–Raphson power‐flow algorithm for droop‐based islanded microgrids

Kumar, Abhishek; Jha, Bablesh Kumar; Singh, Devender; Misra, Rakesh R.

doi:10.1049/iet-gtd.2019.0575

Cited by 22 publications

(9 citation statements)

References 38 publications

(77 reference statements)

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“…Numerical results demonstrate the computational efficiency of the proposed power flow method for different reactance/resistance ratios. Authors of [20] presented a three-phase power flow approach for islanded microgrids that is based on the Newton-Raphson current injection method in order to deal with the lack of a slack node. The proposed algorithm selects system frequency and voltage magnitude of the reference bus as additional variables in power-flow formulation.…”

Section: Literature Reviewmentioning

confidence: 99%

Accurate and Efficient Derivative-Free Three-Phase Power Flow Method for Unbalanced Distribution Networks

et al. 2021

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The power flow problem in three-phase unbalanced distribution networks is addressed in this research using a derivative-free numerical method based on the upper-triangular matrix. The upper-triangular matrix is obtained from the topological connection among nodes of the network (i.e., through a graph-based method). The main advantage of the proposed three-phase power flow method is the possibility of working with single-, two-, and three-phase loads, including Δ- and Y-connections. The Banach fixed-point theorem for loads with Y-connection helps ensure the convergence of the upper-triangular power flow method based an impedance-like equivalent matrix. Numerical results in three-phase systems with 8, 25, and 37 nodes demonstrate the effectiveness and computational efficiency of the proposed three-phase power flow formulation compared to the classical three-phase backward/forward method and the implementation of the power flow problem in the DigSILENT software. Comparisons with the backward/forward method demonstrate that the proposed approach is 47.01%, 47.98%, and 36.96% faster in terms of processing times by employing the same number of iterations as when evaluated in the 8-, 25-, and 37-bus systems, respectively. An application of the Chu-Beasley genetic algorithm using a leader–follower optimization approach is applied to the phase-balancing problem utilizing the proposed power flow in the follower stage. Numerical results present optimal solutions with processing times lower than 5 s, which confirms its applicability in large-scale optimization problems employing embedding master–slave optimization structures.

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Section: Literature Reviewmentioning

confidence: 99%

Accurate and Efficient Derivative-Free Three-Phase Power Flow Method for Unbalanced Distribution Networks

et al. 2021

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“…Voltage and frequency-based active and reactive loads can be represented using (18) and ( 19) respectively as reported in [14], [61].…”

Section: A Modeling Of the Dcimg And It's Components 1) Static Load Modelmentioning

confidence: 99%

“…However, MNR fails to converge for the system having a high R/X ratio due to the ill-conditioning of the PF model proposed in [16]. To resolve this issue, Kumar et al [17], [18] proposed a nested iterative framework for the NR-based algorithm to improve the convergence over the PF problem of DCIMGs.…”

Section: Introductionmentioning

confidence: 99%

Power Flow Analysis of Islanded Microgrids: A Differential Evolution Approach

et al. 2021

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Power flow (PF) analysis of microgrids (MGs) has been gaining a lot of attention due to the evolution of islanded MGs. To calculate islanded MGs' PF solution, a globally convergent technique is proposed using Differential Evolution (DE)-a popular optimization algorithm for global non-convex optimization. This paper formulates the PF problem as a constrained optimization problem (COP) considering all the operating conditions of the Droop Controlled Islanded MGs (DCIMGs). To solve the proposed COP, DE-NGM, (Epsilon based Differential Evolution with Newton-Gauss-based mutation) is proposed. The proposed algorithm, DE-NGM, is a novel variant of DE since it comprises a novel mutation operator, Newton-Gauss-based mutation (NGM). NGM includes all the important features of DE's mutation strategies as well as reduces the constraint violation by utilizing the information of constraint-space. Numerical experiments validate that the global convergence ability of proposed algorithms in solving COPs than existing state-of-the-art algorithms. Furthermore, the proposed algorithm as a PF tool has better robustness than existing tools on ill-and well-conditioned systems with heavy loads, different limit violations, and inappropriate final solutions (far from the flat start). The performed comparative analysis confirms good agreement of accuracy and efficacy with the existing method for islanded MG's PF.

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“…Karimi et al 16 reviewed Newtonbased LF methods, state space search schemes, and distribution LF techniques in addition to discussing various issues of the existing LF techniques. Kumar et al 17 developed a current injection-based NR LF for droop-based islanded microgrid. The method involves linear and nonlinear equations for covering droop characteristics of DGs and LF equations respectively, besides considering frequency and voltage magnitude of reference bus as additional LF variables.…”

mentioning

confidence: 99%

Soccer league optimization for load flow analysis of power systems

Srilakshmi¹,

Babu²,

Venkatesan

et al. 2021

Int J Numerical Modelling

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This paper proposes a generalized soccer league optimization (SLO) based load flow (LF) method suitable for both transmission and distribution systems. The LF problem is formulated as an optimization problem of lowering the sum of squares of active and reactive power mismatches at all busses, while taking the net corrections of bus voltage angles and magnitudes as unknown decision variables. The formulated problem is then solved using SLO, a population-based algorithm imitated from the behavior of team players of soccer league competition. The performances in respect of accuracy, robustness to different line r/x ratios, and computational efficiency are studied on six standard IEEE transmission and distribution systems and the results are presented.

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Current injection‐based Newton–Raphson power‐flow algorithm for droop‐based islanded microgrids

Cited by 22 publications

References 38 publications

Accurate and Efficient Derivative-Free Three-Phase Power Flow Method for Unbalanced Distribution Networks

Accurate and Efficient Derivative-Free Three-Phase Power Flow Method for Unbalanced Distribution Networks

Power Flow Analysis of Islanded Microgrids: A Differential Evolution Approach

Soccer league optimization for load flow analysis of power systems

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