A Holomorphic embedding approach for finding the Type-1 power-flow solutions

Yang, Feng; Tylavsky, Daniel

doi:10.1016/j.ijepes.2018.04.029

Cited by 13 publications

(7 citation statements)

References 23 publications

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“…This issue has limited the applicability of this kind of techniques. Homotopic and holomorphic principles have been also applied for solving PF problem [26,27]. This kind of methodologies solve the PF equations by posing a continuous version of them by which their solution is reaching by progressively increasing a well-known homotopic parameter.…”

Section: Literature Reviewmentioning

confidence: 99%

On the Applicability of Two Families of Cubic Techniques for Power Flow Analysis

2021

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This work presents a comprehensive analysis of two cubic techniques for Power Flow (PF) studies. In this regard, the families of Weerakoon-like and Darvishi-like techniques are considered. Several theoretical findings are presented and posteriorly confirmed by multiple numerical results. Based on the obtained results, the Weerakoon’s technique is considered more reliable than the Newton-Raphson and Darvishi’s methods. As counterpart, it presents a high computational burden. Regarding this point, the Darvishi’s technique has turned out to be quite efficient and fully competitive with the Newton’s scheme.

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Section: Literature Reviewmentioning

confidence: 99%

On the Applicability of Two Families of Cubic Techniques for Power Flow Analysis

2021

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“…In this regard, Tylavsky et al have profusely studied holomorphic algorithms for estimating the limit loading levels of power systems 30 and calculating all the type-1 (low voltage) PF solutions. 31 On the other hand, Chiang, et al have developed novel methodologies 32 and derived theoretical studies. 33 One of the main disadvantages of holomorphic-based methods is the possibility of calculating non-physical solutions, which lacks importance in industry tools.…”

Section: Literature Reviewmentioning

confidence: 99%

Solving realistic large‐scale ill‐conditioned power flow cases based on combination of numerical solvers

Tostado‐Véliz

Hasanien

Turky

et al. 2021

Int Trans Electr Energ Syst

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With the increasing electricity consumption and difficulty in upgrading existing infrastructures, ill-conditioned power flow (PF) cases are becoming more frequent nowadays. In this context, classical robust solvers may be unsuitable for realistic networks, which typically encompass thousands of buses, because of their high computational burden or low convergence rate. This article tackles this issue by proposing a novel PF solver, which presents acceptable robustness and efficiency in solving large-scale ill-conditioned systems. The proposed algorithm collects the advantage of various numerical solvers, which by separate present different weaknesses, but actuating in coordination their strengths can be jointly exploited. More precisely, the robust Forward-Euler and Trapezoidal rules are combined with the efficient Darvishi cubic technique. Thereby, an original predictor-corrector algorithm is developed to effectively coordinate the different numerical algorithms involved, obtaining a robust but efficient yet solution procedure. Various large-scale illconditioned benchmark systems are studied under different stressing conditions. The results obtained with the developed technique are promising, outperforming other robust and standard PF solvers. K E Y W O R D S computational efficiency, ill-conditioned cases, large-scale systems, power flowList of Symbols and Abbreviations: t, time instant; (.) sch , scheduled value; i, denotes the ith bus of the system; k, Denotes the kth iteration of an iterative algorithm; n l , total number of PQ buses; n g , total number of PV buses; n, size of the power flow state vector (n = 2n l + n g in polar coordinates); N, number of iterative loops; ω, state vector of a dynamic system; Δt, time step; P, nodal active power injection; Q, nodal reactive power injection; V∠δ, nodal voltage; Y∠θ, element of the admittance matrix; h, step size; ε, convergence tolerance; k max , maximum number of iterations allowed; g, power flow equations; [Á] T , transpose operator; [Á] À1 , inverse operator; kÁk ∞ , infinity norm; r x , vector/matrix gradient (first derivative) with respect to x; max{a,b}, returns b if b > a and a otherwise; min{a,b}, returns b if b < a and a otherwise; x, y, z, power flow state vector; δ PV , voltage angles at PV buses; δ PQ , voltage angles at PQ buses; V PQ , voltage magnitudes at PQ buses; g x , Jacobian matrix formed by the first partial derivatives of g with respect x; I, identity matrix; BEM, Backward-Euler method; HKW, Heun-King Werner approach; HOLM, high order Levenberg-Marquardt solver; LU, lower-upper; NR, Newton-Raphson technique; OMP, optimal multiplier method in polar coordinates; PF, power flow; TR, trapezoidal rule applied to PF analysis; 3OD, darvishi's cubic method applied to PF analysis.

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“…Under the scenario where a contingency as defined at above has already happened, the system may be subjected to one of the following subsequent contingencies (called 'N-1-1' condition [8]):…”

Section: Criteria For Second Contingency ('N-1-1')mentioning

confidence: 99%

Modern Analysis of Power Flow and Network Stability of Transmission Lines for Nuclear Power Dispatch

Swamynathan¹,

Sivakumar²

2019

IJSTS

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This article presents an general approach to improve the power system planning, load flow pattern and stability of transmission lines using modern analysis concept. The objective is to categorize and characterize the existing system reliability concerns inherited from the adopted deterministic criteria, so that power utilities can accordingly adjust their reliability criteria to manage with real-life system uncertainties and hence to improve the overall system reliability. In the past many wide spread blackouts had occurred in interconnected power systems. Therefore it is necessary to ensure that grid should be operated economically and reliably. Contingency analysis is a well-known function in modern power system management. The aim of this analysis is to give the operator information about the static security, power flow pattern and stability. In general an outage largest capacity of one transmission line or transformer may lead to disturb the vital parameters in other lines. Modern analysis is used to calculate the violation on the network and improvement. Nuclear power plant is a base unit and best way to dispatch the power to the grid with minimum disturbance. This paper also shows the network stability, power flow management for 500MW Nuclear power plant transmission lines and connected to southern region network of India.

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A Holomorphic embedding approach for finding the Type-1 power-flow solutions

Cited by 13 publications

References 23 publications

On the Applicability of Two Families of Cubic Techniques for Power Flow Analysis

On the Applicability of Two Families of Cubic Techniques for Power Flow Analysis

Solving realistic large‐scale ill‐conditioned power flow cases based on combination of numerical solvers

Modern Analysis of Power Flow and Network Stability of Transmission Lines for Nuclear Power Dispatch

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