On Extending and Comparing Newton–Raphson Variants for Solving Power-Flow Equations

Dutto, Simone; Masetti, Giulio; Chiaradonna, Silvano; Giandomenico, Felicita Di

doi:10.1109/tpwrs.2019.2897640

Cited by 15 publications

(6 citation statements)

References 16 publications

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“…The PF model can be solved accurately on the premise that the topology and parameters of MVDS are known and correct, and the proposed model of MVDS is composed of the slack bus, distribution lines, distribution transformers, as well as the equivalent power supply and load. The PF results of the improved PF model can be obtained by means of the original Newton's method [23].…”

Section: Solution Methods For Pf Model Of Mvdsmentioning

confidence: 99%

Power Flow Model for Medium-voltage Distribution Systems Considering Measurement and Structure Characteristics

Lu,

Yan,

Huang

et al. 2024

Journal of Modern Power Systems and Clean Energy

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Medium-voltage distribution systems (MVDSs) mainly consist of a feeder head, lines, distribution transformers, and the equivalent load or power supply interfaced with the distribution transformers. The information of such load or power supply can be measured via the three-wattmeter method (THM) and the two-wattmeter method (TWM). The measurements can be used to perform the control of the power supply and simulate the characteristics of the load, so the models of the load and the power supply need to consider the measurement characteristics. Existing research works on three-phase power flow (PF) just consider the measurement characteristics of THM. Hence, the PF equation of the bus measured via TWM is firstly built. Based on conventional measurements, an accurate and general model of the grounded and ungrounded slack bus is proposed. Furthermore, the influence arising from the connection type and angle shift of distribution transformers on the admittance matrix is considered, and thus a general three-phase transformer model is summarized, which is applicable for all the transformers mentioned herein. Finally, Newton' s method is adopted to solve the PF calculation, and the performance of the proposed PF model is demonstrated through designed tests.

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Section: Solution Methods For Pf Model Of Mvdsmentioning

confidence: 99%

Power Flow Model for Medium-voltage Distribution Systems Considering Measurement and Structure Characteristics

Lu,

Yan,

Huang

et al. 2024

Journal of Modern Power Systems and Clean Energy

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“…Recent papers in the research literature have presented a method for calculating the Jacobian matrix that is concise, elegant, and simple to program [7], [8], [9]. Those papers use [ V ] to denote a square matrix with vector V along the diagonal and zeros elsewhere.…”

Section: Concise Derivation Of the Jacobian Matrixmentioning

confidence: 99%

“…Current textbook formulations of the Jacobian matrix for power flow solutions are cumbersome, inelegant, and laborious to program [1], [2], [3], [4], [5], [6]. Recent papers have introduced a method for calculating the Jacobian matrix that is concise, elegant, and simple to program [7], [8], [9]. The concise formulation of the Jacobian matrix makes writing a power flow program more accessible to students.…”

Section: Introductionmentioning

confidence: 99%

Introducing a Concise Formulation of the Jacobian Matrix for Newton-Raphson Power Flow Solution in the Engineering Curriculum

Conlin¹,

Dahal

Rovnyak

et al. 2021

2021 IEEE Power and Energy Conference at Illinois (PECI)

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The power flow computer program is fundamentally important for power system analysis and design. Many textbooks teach the Newton-Raphson method of power flow solution. The typical formulation of the Jacobian matrix in the NR method is cumbersome, inelegant, and laborious to program. Recent papers have introduced a method for calculating the Jacobian matrix that is concise, elegant, and simple to program.The concise formulation of the Jacobian matrix makes writing a power flow program more accessible to students. However, its derivation in the research literature involves advanced manipulations using higher dimensional derivatives, which are challenging for dual level students. This paper presents alternative derivations of the concise formulation that are suitable for undergraduate students, where some cases can be presented in lecture while other cases are assigned as exercises. These derivations have been successfully taught in a dual level course on computational methods for power systems for about ten years.

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“…In Chappa and Thakur (2018), a PMU measurementbased method proposed by Lim and DeMarco (2016) is used to generate a Jacobian matrix and identify weak nodes in power systems. A complete comparison study of existing power flow solution strategies and methods for obtaining Jacobian matrices in these solutions is described in Dutto et al (2019). In Varwandkar (2019), the realification of PF is studied, and the disadvantages of the conventional PF method that needs to estimate the Jacobian matrix are investigated.…”

Section: Introductionmentioning

confidence: 99%

A Method for Directly Extracting the Jacobian Matrix of the Power Flow Equations of a Power System in Polar Coordinates

Lyu

Wei

2022

Front. Energy Res.

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This paper presents a method to directly extract the Jacobian matrix of a power system’s power flow (PF) equations in polar coordinates (termed as DEJMP method). This method is designed to reduce the computational complexity of the extraction process and improve the computational efficiency of the relevant PF algorithm. Direct extraction of the Jacobian matrix from the complex power equation in polar coordinates precludes an increase in both the number of procedural steps and the computational expense, which is a problem associated with the conventional PF (C-PF) algorithm due to its requirement that the derivatives of the active and reactive bus power equations be taken in separate steps. The DEJMP method avoids the trigonometric calculations used in the conventional method for computing the Jacobian matrix, resulting in a significant increase in computational efficiency. In addition, simulation results obtained for IEEE-300, S-1047, S-2383, and S-9241 bus systems validate the efficiency of the DEJMP-based PF algorithm. The DEJMP-based PF algorithm requires more than 20% less time to calculate the PF than the C-PF algorithm. This decrease in computing time is more pronounced for large systems.

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On Extending and Comparing Newton–Raphson Variants for Solving Power-Flow Equations

Cited by 15 publications

References 16 publications

Power Flow Model for Medium-voltage Distribution Systems Considering Measurement and Structure Characteristics

Power Flow Model for Medium-voltage Distribution Systems Considering Measurement and Structure Characteristics

Introducing a Concise Formulation of the Jacobian Matrix for Newton-Raphson Power Flow Solution in the Engineering Curriculum

A Method for Directly Extracting the Jacobian Matrix of the Power Flow Equations of a Power System in Polar Coordinates

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