AC-DC power system analysis [Book Review]

Arrillaga, J.; Smith, B.E.; Wollenberg, B.F.

doi:10.1109/mcap.1999.773814

Cited by 4 publications

(7 citation statements)

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“…The other formulations can be used depending on the harmonic voltage level because all of them assume that harmonic voltage influence can be neglected in some part of the formulation equations. Another available HLF formulation is the unified harmonic load flow formulation [48,49]. It is a modification of the complete harmonic load flow formulation which takes into account the approach used in the simplified harmonic load flow formulation.…”

Section:  Formulation Of the Harmonic Problemmentioning

confidence: 99%

“…The proposed HLF formulation, known as improved unified harmonic load flow (IUHLF) [51], derives from the unified harmonic load flow (UHLF) [48,49]. Both formulations are a modification of the CHLF (CHLF m ) which takes into account the Thévenin equivalent circuit approach used in SHLF to avoid considering the harmonic voltages at the Slack and PQ buses as unknowns.…”

Section: An Improved Harmonic Load Flow Formulation 41 Formulation Of...mentioning

confidence: 99%

“…UHLF formulation [48,49] is based on the simultaneous resolution of the power equations at the PQ buses, Kirchhoff's second law applied to the fundamental and harmonic Thévenin equivalent circuits, and the NLL equations defining HVDC converter behaviour, i.e., where Y 1 ij are the ij th elements of the network fundamental admittance matrix Y 1 B , I k i is defined as and hvdc r i (•) = 0 represents the HVDC converter equations. HVDC converters are the only sort of nonlinear load analysed and considered in [48,49] for the UHLF formulation, probably because the authors only knew the model of this nonlinear load and they did not know how to include others.…”

Section: Vn (43)mentioning

confidence: 99%

“…The use of a constant Jacobian matrix is proposed in [48] to carry out the numerical resolution of (4.1) by the Newton-Raphson method. Holding the Jacobian matrix constant leads to a larger number of faster iterations to obtain the overall solution, [49]. However, if voltages are highly distorted, this number of iterations may still be larger or convergence to the solution might even not be achieved.…”

Section: Vn (43)mentioning

confidence: 99%

“…While these two features could be good enough for electrical networks with the presence of HVDC converters and in a context of scarcely distorted voltages, [48,49], they could not be convenient for electrical networks with the presence of any sort of nonlinear load or in scenarios of highly distorted voltages.…”

Section: B B B Y V Imentioning

confidence: 99%

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Harmonic load flow formulation and numerical resolution

Rashid¹

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As a continuation of the work done by the QSE (Electrical Supply Quality) research group at the UPC (Polytechnic University of Catalonia) on harmonic load flow in electric power networks, this thesis aims to study existing harmonic load flow formulations, as well as the numerical resolution of the nonlinear equation systems derived from these formulations, in order to propose improvements for the former and compare performances of numerical methods for the latter. The improvements in the harmonic load flow formulations are related to a reduction in the number of iterations, for which an improved formulation is proposed. The comparison of numerical resolution methods is focused on analysing harmonic load flow formulation convergences and accuracies. The specific goals of the thesis are: (1) To propose an improved formulation for the harmonic load flow problem. This formulation should be applicable to electrical networks with highly distorted voltages. (2) To analyse the numerical resolution of all the considered harmonic load flow formulations (existing and improved) in terms of convergence and accuracy, by using a well-known numerical method (Newton-Raphson) and an alternative numerical method (Levenberg-Marquardt).

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Section:  Formulation Of the Harmonic Problemmentioning

confidence: 99%