Matrix decompositions-based approach to Z-bus matrix building process for radial distribution systems

Hsieh, Ting-Yen; Chen, Tsai-Hsiang; Yang, Nien-Che

doi:10.1016/j.ijepes.2017.01.004

Cited by 21 publications

(22 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Although graph theory has been used for power systems in many aspects [10][11][12], there are a few in power flow calculation. The most relevant is the work published more recently [13], where graph theory is used for building the Z-bus matrix, and the results obtained are only for radial distribution systems. The other contribution of this paper is that the convergence of the graph-based method is addressed by using the Banach fixed-point theorem, associated with the convergence rate of a clear physical meaning.…”

Section: Introductionmentioning

confidence: 99%

A Graph-Based Power Flow Method for Balanced Distribution Systems

Shen

Xiang

2018

Energies

View full text Add to dashboard Cite

Abstract:A power flow method based on graph theory is presented for three-phase balanced distribution systems. The graph theory is used to describe the power network and facilitate the derivation of the relationship between bus Currents and the bus Voltage Bias from the feeder bus (the CVB equation). A distinctive feature of the CVB equation is its unified form for both radial and meshed networks. The method requires neither a tricky numbering and layering of nodes nor breaking meshes and loop-analysis, which are both necessary in previous works for meshed networks. The convergence of the proposed method is proven using the Banach fixed-point theorem.

show abstract

Section: Introductionmentioning

confidence: 99%

A Graph-Based Power Flow Method for Balanced Distribution Systems

Shen

Xiang

2018

Energies

View full text Add to dashboard Cite

show abstract

“…• Unlike the existing approaches, the proposed approach considers the weather and magnetic effects, which have a great influence on the impedance of overhead conductors [21] [22], thus significantly affecting the power flow results and the switching state of LVCs. The matrix decomposition technique [23] is applied to avoid continuous re-factorization of YBUS matrix, due to the impedance variation, thereby reducing the computational burden of the power flow.…”

Section: Technical Contribution Of This Papermentioning

confidence: 99%

“…The algorithm utilizes the nonlinear thermal equations of IEEE Std 738-2012 [24] for calculating the conductor temperature and the nonlinear impedance-temperature-current relation proposed in [21] for calculating the conductor impedance. The power flow is solved using the implicit ZBUS method [21] and matrix decomposition [23].…”

Section: Weather and Magnetic Dependent Power Flowmentioning

confidence: 99%

See 1 more Smart Citation

A Sensitivity-Based Three-Phase Weather-Dependent Power Flow Algorithm for Networks with Local Controllers—Part I: Algorithm Development

Pompodakis¹,

Ahmed²,

Alexiadis³

2021

Preprint

View full text Add to dashboard Cite

<b>Local voltage controllers (LVCs) are important components of a modern distribution system for regulating the voltage within permissible limits. This manuscript presents a sensitivity-based three-phase weather-dependent power flow algorithm for distribution networks with LVCs. This Part I presents the theoretical development of the proposed algorithm, which has four distinct characteristics: a) it considers the three-phase unbalanced nature of distribution systems, b) the operating state of LVCs is calculated using sensitivity parameters, which accelerates the convergence speed of the algorithm, c) it considers the precise switching sequence of LVCs based on their reaction time delays, and d) the nonlinear influence of weather variations in the power flow is also taken into consideration. Simulations and validation results presented in Part II indicate that the proposed approach outperforms other existing algorithms with respect to the accuracy and speed of convergence, thus making it a promising power flow tool for accurate distribution system analysis. </b><div><b><br></b></div>

show abstract

“…To overcome these critical problems, the proposed decomposed quasi‐NR (DQNR)‐based method is designed for unbalanced three‐phase distribution networks. In previous studies [28–35], the matrix decomposition‐based approach was successfully applied for three‐phase power‐flow solutions and three‐phase harmonic power‐flow solutions. The coupling‐free component models can be integrated into the proposed method via individual phase representation.…”

Section: Introductionmentioning

confidence: 99%