Holomorphic embedding load flow for unbalanced radial distribution networks with DFIG and tap‐changer modelling

Asl, Dariush Keihan; Mohammadi, Mohammad; Seifi, Ali Reza

doi:10.1049/iet-gtd.2018.6239

Cited by 13 publications

(6 citation statements)

References 25 publications

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“…Assume the system bus impedance matrix 𝐙 bus , with w buses and ground 0, as shown in Figure 8. The performance equations for the partial network are given by (21).…”

Section: Building Algorithm For Shunt Componentsmentioning

confidence: 99%

“…In previous studies [15][16][17][18][19], matrix decomposition-based approaches have been successfully used to analyse large-scale distribution network problems. A holomorphic embedded PF method based on complex analysis was proposed [20][21][22]. The PF equations are embedded into a holomorphic function and applied to the Padé approximation.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive convergence enhancement strategies for Newton–Raphson power flow solutions in distribution networks

Yang,

Tseng

2024

IET Generation Trans & Dist

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This study introduces a series of strategies to enhance convergence in the Newton–Raphson power flow method for unbalanced distribution networks. The proposed approach incorporates graph theory, Kron reduction, and current injection techniques. The network components, including transmission conductors, power transformers, power conductors, shunt capacitors/reactors, and demand loads, were merged into the bus impedance matrix. Using two identification processes (based on mismatches for bus voltages and bus power injections) and optimal multipliers (μ), the proposed approach estimates the initial bus voltages by approximating the converged solutions. To verify the effectiveness of the proposed approach, the authors performed a comparative analysis of five IEEE test feeders in various scenarios. The results confirmed the effectiveness of the proposed approach, particularly for unbalanced distribution systems with diverse transformer connections.

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“…Assume the system bus impedance matrix 𝐙 bus , with w buses and ground 0, as shown in Figure 8. The performance equations for the partial network are given by (21).…”

Section: Building Algorithm For Shunt Componentsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Adaptive convergence enhancement strategies for Newton–Raphson power flow solutions in distribution networks

Yang,

Tseng

2024

IET Generation Trans & Dist

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“…Various HEM-based power flow models introduced before mainly focusing on AC transmission networks. There are papers extending the HEM to other types of power systems such as DC systems [33] , AC/DC systems [55][56][57][58][59] , three-phase distribution networks [60][61][62][63][64] , integrated systems [35,42,65,66] and isolated systems [58,67] . It is important to note that unlike the AC power flow, in which one has to take particular attention to deal with the complex conjugation operation by considering additional independent variables , all voltages variables involved in DC systems [33] are real instead of complex, so is required and satisfied, ensuring that physical solutions are real when is real.…”

Section: Hems For Hybrid Ac/dc Systemsmentioning

confidence: 99%

“…[63] that the holomorphy assumption for solution functions might not be met for that derived embedded system in Ref. [60].…”

Section: Hems For Distribution Systemsmentioning

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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“…From the analytic point of view, the holomorphic embedding (HE) load-flow method provides a novel non-iterative tool and alternative solution for power flow problems [19]. Since its introduction to the power system community in 2012 [19], HE methods have been extended to a wide range of applications in power systems [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35] over the past few years, including device and network modelling [20][21][22][23][24], voltage stability analysis and control [25][26][27][28][29], power-flow solution identification [30,31], enforcement of control limits [32], unit commitment [33], dynamic simulation [34] and optimal energy flow [35]. In addition, based on its constructive nature, improvements have been made to HE for enhanced computational efficiency [36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Holomorphic embedding approach for VSC‐based AC/DC power flow

Huang

Yao

et al. 2020

IET Generation Trans & Dist

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With the rapid development of voltage source converter based high‐voltage direct current, power flow analysis becomes increasingly important for AC/DC hybrid systems. This study extends the holomorphic embedding (HE) method to the VSC‐based AC/DC power flow problem. With an appropriate embedding technique, a general embedded model is established for AC/DC power flow with VSCs, which can not only preserve the deterministic property of HE that enables it to derive the desired solution in an explicit manner but also flexibly accommodate various bus types, VSC configurations, control strategies and operating conditions. Moreover, the sparsity of the recursive matrix in power series calculations and the introduction of the iterative calculation of the inverse matrix (ICIM) to rational approximants contribute to the high computational efficiency of the model. The proposed method is shown to be feasible and efficient by illustrative cases and is further extended to multi‐terminal (VSC‐MTDC) configurations to verify its flexibility.

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Holomorphic embedding load flow for unbalanced radial distribution networks with DFIG and tap‐changer modelling

Cited by 13 publications

References 25 publications

Adaptive convergence enhancement strategies for Newton–Raphson power flow solutions in distribution networks

Adaptive convergence enhancement strategies for Newton–Raphson power flow solutions in distribution networks

A Review on Applications of Holomorphic Embedding Methods

Holomorphic embedding approach for VSC‐based AC/DC power flow

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