A Linear Branch Flow Model for Radial Distribution Networks and Its Application to Reactive Power Optimization and Network Reconfiguration

Yang, Tianjun; Guo, Ye; Deng, Lin; Sun, Hongbin; Wu, Wenchuan

doi:10.1109/tsg.2020.3039984

Cited by 49 publications

(22 citation statements)

References 28 publications

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“…where bus i is considered as the phase angle reference. The Modified DistFlow method in this paper is developed using assumptions as follows [5].…”

Section: A Two-bus Systemmentioning

confidence: 99%

“…However, due to the nonlinear standard power flow (PF) model, iterative techniques such as Newton-Raphson, Power Summation and Current Summation [2], [3] have been used to find the solution. In addition, optimization problems integrating the standard power flow model such as network reconfiguration [4] and economic dispatch [5] become non-convex and challenging to solve. Researchers have put forward various methodologies to overcome these drawbacks, classifying them into two groups: linearization of the power flow expressions and convex relaxation of power flow equations [4].…”

Section: Introductionmentioning

confidence: 99%

“…This second model is based on the bus injection approach and does not consider network losses when deriving the power flow formulas. A novel linear model is recently suggested in [5] and [10], called Modified DistFlow (MD). This model considers P/U and Q/U as state variables and does not neglect directly grid loss terms.…”

Section: Introductionmentioning

confidence: 99%

“…• Rigorously present a step-by-step procedure proposed in [5] to calculate power flow using a six-bus distribution system;…”

Section: Introductionmentioning

confidence: 99%

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Different Linear Power Flow Models for Radial Power Distribution Grids: A Comparison

Văn¹,

Duy²

2021

TNUJST

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Trong bài báo này, các phương pháp tính trào lưu công suất lưới điện phân phối được tóm tắt và so sánh. Các phương pháp được xem xét bao gồm cộng công suất, trào lưu công suất đơn giản hóa, trào lưu công suất cải biên và trào lưu công suất tuyến tính hóa. Trong đó, phương pháp cộng công suất có dạng phi tuyến và các phương pháp trào lưu công suất còn lại có dạng tuyến tính. Kết quả tính toán sử dụng các mô hình tuyến tính có sai số nhất định so với mô hình phi tuyến. Các phương pháp tính trào lưu công suất lưới phân phối được áp dụng cho lưới điện phân phối 6 nút để tính toán mô-đun điện áp nút và dòng công suất trên các nhánh. Các kết quả tính toán cho thấy mô hình trào lưu công suất cải biên có sai số nhỏ nhất so với các mô hình tuyến tính khác. Ngoài ra, các tác giả cũng chứng minh được rằng các công thức toán học của mô hình trào lưu công suất đơn giản hóa và trào lưu công suất tuyến tính hóa hoàn toàn giống nhau.

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“…where bus i is considered as the phase angle reference. The Modified DistFlow method in this paper is developed using assumptions as follows [5].…”

Section: A Two-bus Systemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…• Rigorously present a step-by-step procedure proposed in [5] to calculate power flow using a six-bus distribution system;…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Different Linear Power Flow Models for Radial Power Distribution Grids: A Comparison

Văn¹,

Duy²

2021

TNUJST

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“…In addition, installing capacitor banks with an appropriate capacity in a distribution network and adopting appropriate control and scheduling strategies can reduce the active power losses, eliminate overloads, and improve the bus voltage 7 . A reactive power optimization that considers the voltage stability index using a novel hybrid optimization approach was proposed by Mostafa et al 8 In addition, Yang et al 9 presented a cold‐start linear branch flow model for reactive power optimization. These studies consider the optimal reactive power dispatch and allocation of DG separately and do not combine them.…”

Section: Introductionmentioning

confidence: 99%

Optimal reactive power dispatch and distributed generation placement based on a hybrid co‐evolution algorithm and bi‐level programming

Chen

Wang

2021

Int Trans Electr Energ Syst

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To improve the economy and stability of distribution networks with a high penetration of distributed generation (DG), active management strategies should be considered during the planning stages and operating stage. This article presents a bi-level model of DG placement and an optimal reactive power dispatch, where the total investment and operation cost are minimized through an optimal allocation of the DG at the upper planning level, and the active power loss and voltage deviation are optimized based on the optimal reactive power output of the DG, static var compensator (SVC), and shunt capacitor bank (SCB). In this study, a period division strategy based on the Grey relation analysis was determined to reduce the switching time of the SCB. The co-evolution algorithm based on the List of Symbols and Abbreviations: α t c and β t c , shape parameters of the distribution functions; δ s , demand curves of load type s; ε, smallest constant used to avoid a zero-division error; ε t,t+1 , Grey absolute correlation degree; Γ, gamma function; λ 1 , penalty function of the node voltage crossing line; ρ, air density; ρ t,t+1 , Grey comprehensive correlation degree; θ nq , voltage phase angle difference of the branch between nodes n and q; θ si , ratio of load type s in the total load of node i; Β, step size control parameter; B nq , susceptance difference of the branch between nodes n and q; C c , carbon dioxide emission cost; C CO2 , carbon emission penalty cost; C q , load cost; C inv , unit investment cost of DG; C inv+ope , investment and operation cost of DG; C ope , unit operating cost of DG; cosθ, power factor; C p , active power loss cost; C p , wind energy utilization coefficient; c t , the Weibull scale parameter; C uep , unit electricity price; D 0 , starting point of zero operator; D 1 , initial valued operator; E f , a fixed-point; E m , greenhouse gas emission intensity; E max , maximum value of solar radiation; f g , current global best fitness values; f i , fitness values of the present sparrow; f w , current global worst fitness values; G nq , conductance difference of the branch between nodes n and q; iter max , maximum number of iterations; J, total number of branches; k c

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Reviews, Challenges, and Insights on Computational Methods for Network Reconfigurations in Smart Electricity Distribution Networks

El-Fergany

2023

Arch Computat Methods Eng

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Power losses and voltage profiles in electricity distribution networks are a problem, particularly in developing nations. Many techniques have reportedly been used in the previous ten years to address this issue. Among other solutions, network reconfigurations (NRs) are regarded as one of the most practical. It is important to conduct a periodic update survey on this subject because the electricity radial distribution networks (RDNs) are continually evolving. Therefore, a thorough evaluation of the various techniques to address the issues with NRs along distribution networks is provided in this manuscript. There is discussion of several mathematical, traditional, heuristic-based, and machine-learning strategies. It is important to understand how the radiality is achieved as well as methods for resolving distribution load flow, particularly with greater R/X ratios. The most typical test cases used in the literature are listed. In order to enrich this review and make it useful to others, more than 200 articles (the majority of which were published in the last five years) are referenced inside the body of this text. The final conclusions and related future insights are presented. At last, this work is an invaluable resource for anyone involved in this field of study because it offers a comprehensive literary framework that can serve as the foundation for any future research on NRs and its prospective difficulties. Therefore, academics can use this framework to enhance previous formulations and approaches as well as suggest more effective models.

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A Linear Branch Flow Model for Radial Distribution Networks and Its Application to Reactive Power Optimization and Network Reconfiguration

Cited by 49 publications

References 28 publications

Different Linear Power Flow Models for Radial Power Distribution Grids: A Comparison

Different Linear Power Flow Models for Radial Power Distribution Grids: A Comparison

Optimal reactive power dispatch and distributed generation placement based on a hybrid co‐evolution algorithm and bi‐level programming

Reviews, Challenges, and Insights on Computational Methods for Network Reconfigurations in Smart Electricity Distribution Networks

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