On the Convergence of the Sequential Power Flow for Multiterminal VSC AC/DC Systems

Fernandez-Perez, Jose-Carlos; Echavarren, F.M.; Rodríguez, Luis Rouco

doi:10.1109/tpwrs.2017.2720740

Cited by 34 publications

(20 citation statements)

References 20 publications

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“…The guidelines of type-1 steady-state models for power-flow calculation have been describedin different publications for point-to-point [28], [30], [31] and multi-terminal [4], [32]- [43] VSC-HVDC systems. The same modelling philosophy has been used for OPF calculation of hybrid VSC-based AC/DC systems [4]- [14].…”

Section: A Type-1 Modelsmentioning

confidence: 99%

A simplified algorithm to solve optimal power flows in hybrid VSC-based AC/DC systems

Renedo

Ibrahim

Kazemtabrizi

et al. 2019

International Journal of Electrical Power & Energy Systems

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2019) 'A simplied algorithm to solve optimal power ows in hybrid VSC-based AC/DC systems.', International journal of electrical power and energy systems, 110 . pp. 781-794.The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. AbstractHigh Voltage Direct Current systems based on Voltage Source Converters (VSC-HVDC) are increasingly being considered as a viable technology with advantages, above all when using underground or submarine cables for bulk power transmission. In order to fully understand how VSC-HVDC systems can be best used within existing power systems, it is necessary to adapt conventional tools to carry out system-wide studies including this technology. Along this line, this paper proposes a simplified algorithm to solve optimal power flows (OPFs) in hybrid VSCbased Alternating Current / Direct Current (AC/DC) grids with multi-terminal VSC-HVDC systems. The proposed algorithm makes it possible to seamlessly extend a previous large-scale AC case to which several multi-terminal VSC-HVDC systems must be added. The proposed approach combines two ideas used previously in two different modelling approaches: each VSC is modelled as two generators with a coupling constraint; and DC grids are modelled as notional AC grids, since, in per unit, the equations for the former are a particular case of the latter with resistive lines and no reactive-power injections. In the proposed approach, the hybrid VSC-based AC/DC system is transformed into an equivalent only-AC system. Therefore, the OPF solution of the AC/DC system can be found with the same tool used for the previous AC problem and a simple extension of the original case.Index Terms VSC HVDC, HVDC transmission, multi-terminal, optimal power flow, power systems. NOMENCLATUREA G , A bus , A branch , A slacks : Sets of the generators, buses, branches and slack buses of the AC grids, respectively. A vsc , A dcbus , A dcbranch : Sets of the VSC stations, buses and branches of the multi-terminal VSC-HVDC systems. V i = V i ∠θ i : Voltage at AC bus ī S G,i = P G,i + jQ G,i : Active-(P) and reactive-power (Q) generation (bus i) S D,i = P D,i + jQ D,i : P/Q consumed by the loads (bus i) S i = P i + jQ i : P/Q injections into the AC grid at bus ī Y bus,ik = G ik + jB ik : Admittance matrix of AC line (i, k) I ik : Current through AC branch (i, k) (leaving bus i) (magnitude) S ik = P ac,ik + jQ ac,ik : P and Q flows through AC branch (i, k) (leaving AC bus i) Z ac,ik = R ac,ik + jX ac,ik : Series impedance of AC branch (i, k) B ac,sh,ik : Shunt susceptance of AC branch (i, k) V s,i = V s,i ∠δ s,i ...

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Section: A Type-1 Modelsmentioning

confidence: 99%

A simplified algorithm to solve optimal power flows in hybrid VSC-based AC/DC systems

Renedo

Ibrahim

Kazemtabrizi

et al. 2019

International Journal of Electrical Power & Energy Systems

View full text Add to dashboard Cite

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“…The direction of the DC current is reversed when the power flow injection of VSC reverses, while the DC voltage polarity is not changed. This feature is conducive to the formation of multi‐terminal DC systems [14, 15]. The traditional multi‐terminal HVDC system is not convenient to control power flow in parallel and impacts reliability in series [16, 17].…”

Section: Influence Of Vsc‐hvdc On the Ac/dc Hybrid Gridmentioning

confidence: 99%

Novel correction control approach for an AC/DC hybrid network considering the PQ decoupling property

Lin¹,

Li²,

et al. 2018

J. eng.

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“…In [16], a Levenberg-Marquardt method with the line search technique was proposed to investigate the influence of the HVDC line on the convergence property of the AC/DC power flow. Based on a two-building-block network decomposition, a convergence factor was elaborated in the calculation to promote the convergence properties in [17]. For heavy load situations, Feng et al [18] presented virtual buses and optimal multipliers to improve the AC/DC power flow convergence without compromising precision.…”

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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On the Convergence of the Sequential Power Flow for Multiterminal VSC AC/DC Systems

Cited by 34 publications

References 20 publications

A simplified algorithm to solve optimal power flows in hybrid VSC-based AC/DC systems

A simplified algorithm to solve optimal power flows in hybrid VSC-based AC/DC systems

Novel correction control approach for an AC/DC hybrid network considering the PQ decoupling property

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

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