Application of linearised load flow method for droop‐controlled DCMGs

Maulik, Avirup; Das, Debapriya

doi:10.1049/iet-gtd.2018.7113

Cited by 13 publications

(5 citation statements)

References 30 publications

(88 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We assume that the initial point is (0) x . When step k is iterated, the steps are as follows: 1) Calculate the function value 7) Assume ( 1) ( ) , 1…”

Section: Power Flow Calculation Based On the Direct Tensor Methods In...mentioning

confidence: 99%

See 1 more Smart Citation

Power Flow Calculation in Smart Distribution Network Based on Power Machine Learning Based on Fractional Differential Equations

Yuan

Qian

et al. 2022

Applied Mathematics and Nonlinear Sciences

View full text Add to dashboard Cite

Based on the theory of fractional differential equations, this paper proposes a simple recursive, iterative scheme for power flow calculation in pure radial networks. The paper determines the network hierarchy formed by the ADT stack through breadth theory. This helps us define the branch sequence of the forward and backward generation in the power flow calculation of the smart distribution network. We ensure that the Jacobian matrix remains unchanged in the smart distribution grid power flow calculation. The interval model is more practical and computationally simpler than the point model. The research results show that the power flow calculation method is efficient based on the fractional differential equation.

show abstract

“…We assume that the initial point is (0) x . When step k is iterated, the steps are as follows: 1) Calculate the function value 7) Assume ( 1) ( ) , 1…”

Section: Power Flow Calculation Based On the Direct Tensor Methods In...mentioning

confidence: 99%

“…Newton's method is a common method for performing power flow calculations. The convergence and robustness of Newton's method have been unsatisfactory when the system load is heavy [1]. The optimal multiplier method is considered a relatively successful algorithm for solving illconditioned power flow problems.…”

Section: Introductionmentioning

confidence: 99%

Power Flow Calculation in Smart Distribution Network Based on Power Machine Learning Based on Fractional Differential Equations

Yuan

Qian

et al. 2022

Applied Mathematics and Nonlinear Sciences

View full text Add to dashboard Cite

show abstract

“…The active players of the winner team attempt to imitate the TC and Star player for improving their performances by Equations ( 19) and (20).…”

Section: Imitation Operatormentioning

confidence: 99%

“…The active player AP k,j performs big movements by Equation ( 19) and is accepted, if the performance is better than the old one. Otherwise, the player performs medium movements by Equation (20) and is accepted, if the performance is better than old one. If there is no performance improvement by both big and medium movements, the player is retained in old position.…”

Section: Imitation Operatormentioning

confidence: 99%

Soccer league optimization for load flow analysis of power systems

Srilakshmi¹,

Babu²,

Venkatesan

et al. 2021

Int J Numerical Modelling

View full text Add to dashboard Cite

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.

show abstract

“…• Jacobian-based methods-these include NR methods and their variants to solve the nonlinear system related to power flow through Jacobian matrix calculation [18,21,27]; • Backward/forward methods-these use the Kirchhoff law [28,29] and radial topology to attractively solve the power flow equations based on the fixed-point method; • Gauss-Zbus methods-these use an iterative process to obtain the solution of a power network through nodal matrix analysis [30,31]; • Approximations-these utilize the first order Taylor expression to obtain the Jacobian matrix through nodal matrix analysis using the current injection [32,33].…”

Section: Introductionmentioning

confidence: 99%

A Homotopy-Based Approach to Solve the Power Flow Problem in Islanded Microgrid with Droop-Controlled Distributed Generation Units

2023

View full text Add to dashboard Cite

This paper proposes a homotopy-based approach to solve the power flow problem (PFP) in islanded microgrid networks with droop-controlled distributed generation (DG) units. The technique is based on modifying an “easy” problem solution that evolves with the computation of intermediate results to the PFP solution of interest. These intermediate results require the solution of nonlinear equations through Newton–Raphson (NR) method. In favor of convergence, the intermediate solutions are close to each other, strengthening the convergence qualities of the technique for the solution of interest. The DG units are modeled with operational power limits and three types of droop-control strategies, while the loads are both magnitude voltage- and frequency-dependent. To evaluate the method performance, simulations are performed considering the proposed and classical NR methods, both departing from a flat start estimation. Tests are carried out in three test systems. Different load and DG unit scenarios are implemented for a 6-, 38-, and 69-bus test system. A base case is studied for all systems, while for the two larger models, a loading factor is used to simulate the load augmenting up to the maximum value. The results demonstrated that for the largest-size model system, only the homotopy-based approach could solve the PFP for stringent requirements such as the diversification of the load profile and hard loading operation point.

show abstract

Application of linearised load flow method for droop‐controlled DCMGs

Cited by 13 publications

References 30 publications

Power Flow Calculation in Smart Distribution Network Based on Power Machine Learning Based on Fractional Differential Equations

Power Flow Calculation in Smart Distribution Network Based on Power Machine Learning Based on Fractional Differential Equations

Soccer league optimization for load flow analysis of power systems

A Homotopy-Based Approach to Solve the Power Flow Problem in Islanded Microgrid with Droop-Controlled Distributed Generation Units

Contact Info

Product

Resources

About