Extended holomorphic embedded load-flow method and voltage stability assessment of power systems

Singh, Pradeep; Tiwari, Rajive

doi:10.1016/j.epsr.2020.106381

Cited by 12 publications

(6 citation statements)

References 12 publications

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“…There are some other methods to detect SNBP and weak buses such as V-Q curve [70] and HEM-based sigma method [71][72][73][74][75] . In patent [71] , the sigma method is introduced to identify weak buses and estimate the distance from the operational state to the SNBP based on the HEM but later in Ref.…”

Section: Applications For Stability and Dynamic Problems 31 Voltage S...mentioning

confidence: 99%

A Review on Applications of Holomorphic Embedding Methods

Huang,

Sun

2023

iEnergy

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The holomorphic embedding method (HEM) stands as a mathematical technique renowned for its favorable convergence properties when resolving algebraic systems involving complex variables. The key idea behind the HEM is to convert the task of solving complex algebraic equations into a series expansion involving one or multiple embedded complex variables. This transformation empowers the utilization of complex analysis tools to tackle the original problem effectively. Since the 2010s, the HEM has been applied to steady-state and dynamic problems in power systems and has shown superior convergence and robustness compared to traditional numerical methods. This paper provides a comprehensive review on the diverse applications of the HEM and its variants reported by the literature in the past decade. The paper discusses both the strengths and limitations of these HEMs and provides guidelines for practical applications. It also outlines the challenges and potential directions for future research in this field.

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Section: Applications For Stability and Dynamic Problems 31 Voltage S...mentioning

confidence: 99%

A Review on Applications of Holomorphic Embedding Methods

Huang,

Sun

2023

iEnergy

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“…Recently, the HEM has been gradually attached to scholars and applied to the field of power system voltage stability analysis (Singh and Tiwari, 2020;Gao et al, 2021;Lai et al, 2022). The calculation of voltage collapse points using HEM has a significant advantage over the continuous power flow since the method requires only one calculation to obtain the results (Yang, 2015;Du et al, 2021).…”

Section: Introductionmentioning

confidence: 99%

Hosting capacity of distributed generation based on holomorphic embedding method in distribution networks

Xie

Tang²,

Qi³

et al. 2023

Front. Energy Res.

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Considering the voltage rise problem caused by integrating large-scale distributed generation into the distribution networks, a distributed generation hosting capacity assessment method based on the improved holomorphic embedding method is proposed. First, the relationship between distributed generator penetration and voltage at the access point is explored and voltage violation is used as a constraint to solve the hosting capacity. Secondly, a self-defined directional holomorphic embedding method is proposed based on the classical model, further, the safety region under voltage constraints is derived. The intersection of the bus trajectory with the boundary of the voltage constraint region is used as the criterion for judging the maximum hosting capacity of distributed generation under a single access scenario. Then, a sufficient number of distributed generation access scenarios are generated using Monte Carlo, and the proposed criterion is used to solve the hosting capacity under each scenario. The cumulative distribution curve is obtained by statistically solving admission capacity data, which can represent the relationship between the level of voltage violation risk and the hosting capacity of distributed generation. The validity and correctness of the proposed method are verified on the IEEE 22-bus distribution network.

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“…Also, in Reference 14, the author has presented a new index to evaluate the voltage stability of radial distribution networks using the Catastrophe theory. In References 15‐17, based on power flow equations, a new index is presented to evaluate the voltage stability of the transmission network, but the presented procedures need solving a major number of power flow equations. In Reference 18, according to changes in active and reactive power, a new stability index is presented to calculate the network stability level in the presence of photovoltaic sources.…”

Section: Introductionmentioning

confidence: 99%

A general index for voltage stability assessment of power system

Sadeghi

Foroud

2021

Int Trans Electr Energ Syst

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Nowadays, due to the expansion and increase of loads in transmission and distribution (T&D) networks of power systems, the importance of voltage stability has increased. Also, by increasing the penetration of distributed generation (DG) resources, the interaction between these two networks cannot be ignored. So far, several indicators have been proposed to evaluate the voltage stability of power systems. However, these indices have shortcomings, including the following: Most of them are not able to be used at both the distribution and transmission levels, and they are also unable to consider the interaction between the transmission and distribution network. Most of these indices do not model the effect of line length on voltage stability. In this article, a general index is presented to evaluate the voltage stability in power systems, which can accurately evaluate the voltage stability by considering the effect of line length. In the equation provided for this index, some parameters are determined according to the line length (long line, medium line, and short line).The proposed index can assess the voltage stability of the T&D networks, both separately and together. As a result, it can consider the effect of the T&D networks on each other. Also, it is expanded to consider the effect of DGs and tap-changers. Evaluation of this index in different case studies shows its better performance compared to other well-known indices. So, this index alone can be a good alternative to the multiplicity of indices that the operator must use in different cases.

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Extended holomorphic embedded load-flow method and voltage stability assessment of power systems

Cited by 12 publications

References 12 publications

A Review on Applications of Holomorphic Embedding Methods

A Review on Applications of Holomorphic Embedding Methods

Hosting capacity of distributed generation based on holomorphic embedding method in distribution networks

A general index for voltage stability assessment of power system

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