A novel linearized power flow approach for transmission and distribution networks

Sereeter, Baljinnyam; Markensteijn, A.S.; Kootte, M.E.; Vuik, C.

doi:10.1016/j.cam.2021.113572

Cited by 8 publications

(5 citation statements)

References 15 publications

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“…Table 1 summarizes some references concerning power flow solutions in distribution grids in the last decades. [20] Graph-based power flow using an incidence matrix 2018 DF [21] Graph-based power flow using an upper-triangular matrix 2019 DF [22] Successive approximations power flow method that guarantees convergence 2020 DF [23] Hyperbolic recursive linearization power flow method 2020 DB [24] Matricial backward/forward power flow method that guarantees convergence and includes voltagecontrolled nodes 2020 DF [25] Triangular-based power flow method that guarantees convergence 2021 DF [26,27] Product linearization power flow method 2021 DB [28] Linearized power flow approach for transmission and distribution networks 2021 DB [29] DB: Derivative-based; DF: Derivative-free.…”

Section: Introductionmentioning

confidence: 99%

A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation

2021

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This paper presents a comparative analysis of six different iterative power flow methods applied to AC distribution networks, which have been recently reported in the scientific literature. These power flow methods are (i) successive approximations, (ii) matricial backward/forward method, (iii) triangular-based approach, (iv) product linearization method, (v) hyperbolic linearization method, and (vi) diagonal approximation method. The first three methods and the last one are formulated without recurring derivatives, and they can be directly formulated in the complex domain; the fourth and fifth methods are based on the linear approximation of the power balance equations that are also formulated in the complex domain. The numerical comparison involves three main aspects: the convergence rate, processing time, and the number of iterations calculated using the classical Newton–Raphson method as the reference case. Numerical results from two test feeders composed of 34 and 85 nodes demonstrate that the derivative-free methods have linear convergence, and the methods that use derivatives in their formulation have quadratic convergence.

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Section: Introductionmentioning

confidence: 99%

A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation

2021

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“…The equations for power equality in each bus are expressed by ( 13) to (14). In order to facilitate the linearization, the fractional part of voltage magnitude is separated by (15), the voltage boundaries are given by ( 16), the network active and reactive losses are expressed by (17) to (18), and active-reactive power flow and losses between buses i and j are defined by ( 19) to (22). Equations (23) to (30) The line capacity is limited by (39).…”

Section: Power Flow Formulationmentioning

confidence: 99%

“…A linear iterative power flow based on ZI load model is introduced in 16 in order to reduce the computational time. Authors in 17 present a novel linearized power flow, which is implementable on PQ and PV buses in both the transmission and distribution systems. The authors in 18 propose an approximate linear power flow method that considers active and reactive power and energy losses at the same time.…”

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confidence: 99%

Hybrid renewable/nonrenewable/storage resources in electrical grid considering active‐reactive losses and depth of discharge

Hemmati

Mahdavi

2021

Int J Energy Res

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This paper presents a linear model for optimal operation of distributed generations (DGs) including renewable and nonrenewable DGs in the electrical grids.The accurate model of active-reactive losses is formed by two quadratic terms that are linearized by piecewise linear approximation of the quadratic curves.The DGs' technical/economic formulations are also presented based on the linear model. The proposed linear models are combined to implement linear optimal power flow (OPF) in the electrical grid integrated with hybrid diesel/wind/ solar/battery. The model is associated with uncertainties and expressed as stochastic mixed integer linear programming. Both the active and reactive powers of the grid and resources are incorporated. The model optimizes the following design variables: sitting and sizing of energy storage systems and DGs, depth of discharge, energy of battery, operation pattern of battery, operation pattern of non-renewables units, and investment/operational costs. The proposed model is tested on 69-bus distribution grid. The simulation results show that the depth of discharge is optimized on 30% to 95%. Active and reactive losses achieved by the proposed model are 72% and 47% more accurate compared to the other existing models. The voltage profile is improved by about 8%. The network losses are reduced by 24%. The peak shaving is performed at hours 18 to 24.

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“…Power flow is often separated into two categories. The first category, which suggests recursive solutions without recurring derivatives in their formulations, comprises power flow strategies that incorporate the distribution network graph simply by rearranging the power flow equations to obtain a recursive formula [4][5][6][7][8][9]. Iterative solutions based on linear approximations belong to the second class of approaches that use Taylor's series expansion of power flow equations in real and complex domains.…”

Section: Introductionmentioning

confidence: 99%

Load Flow Analysis and the Impact of a Solar PV Generator in a Radial Distribution Network

Zdiri

Dhouib

Alaas

et al. 2023

Eng. Technol. Appl. Sci. Res.

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The distribution system acts as a conduit between the consumer and the bulk power grid. Due to characteristics such as a high resistance/reactance ratio, distribution networks cannot be solved using conventional methods, such as the Gauss-Seidel and Newton–Raphson. This research proposes a method for the calculation of the power flow in radial networks that considers their wide range of resistance and reactance values, PV generator characteristics, and radial structure. An iterative methodology is employed, with each iteration beginning with the branch that has the highest accurate power flow solution. The procedure is reliable and effective over various workloads and network configurations. To confirm the effectiveness of the suggested technique on the simple and IEEE 33-bus radial distribution system, simulations were carried out in MATLAB. The implications of including a renewable energy source, such as a PV generator, in the network under consideration are investigated by simulation result comparison. The optimal location of the PV generator was also determined using an Artificial Neural Network (ANN) controller. The results of the identification process improve the already exceptional efficacy and performance of the ANN controller.

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A novel linearized power flow approach for transmission and distribution networks

Cited by 8 publications

References 15 publications

A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation

A Comparative Study on Power Flow Methods Applied to AC Distribution Networks with Single-Phase Representation

Hybrid renewable/nonrenewable/storage resources in electrical grid considering active‐reactive losses and depth of discharge

Load Flow Analysis and the Impact of a Solar PV Generator in a Radial Distribution Network

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