Modal Transformation Analyses for Double Three-Phase Transmission Lines

Prado, Angelo Pires do; Filho, José Pissolato; Kurokawa, Sérgio; Bovolato, L.F.

doi:10.1109/tpwrd.2007.899769

Cited by 10 publications

(8 citation statements)

References 14 publications

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“…Phase-mode transformation is widely used in AC transmission systems [13,14]. However, the solution of the eigenvalue matrix and the eigenvector matrix is complicated, and it is hard to program.…”

Section: Transmission Line Model Based On Phase-mode Transformationmentioning

confidence: 99%

“…Since the resistance and inductance parameters of the transmission line are frequency-dependent, the characteristics of a coupled multi-phase transmission line at a certain harmonic frequency are described in the frequency domain by two matrix equations [13]:…”

Section: Line Nodal Admittance Matrix Y Lmentioning

confidence: 99%

“…In addition, the nodal voltage analysis method [10,11] is widely used in the power system analysis. Based on the phase-mode transformation, the coupled multi-phase transmission line model proposed in this paper aims to derive the nodal admittance matrix form of the transmission line according to the matrix differential equation theory [12][13][14]. Then, the entire HVDC system can be easily solved by taking full advantage of the nodal voltage analysis method.…”

Section: Introductionmentioning

confidence: 99%

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Research on transmission line model based on phase‐mode transformation in HVDC system

Lai

et al. 2019

IEEJ Transactions Elec Engng

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For a high-voltage DC (HVDC) transmission system, this paper describes an improved algorithm for the coupled multi-phase transmission line model and complete procedures for the calculation of the DC-side harmonic currents. First, based on the phasemode transformation, an improved coupled multi-phase transmission line model is proposed. In other words, the transmission line is represented as a nodal admittance matrix form, considering computational accuracy and efficiency. In addition, when calculating the DC-side harmonic currents, the line-commutated converters at the rectifier side and the inverter side are equivalent to the three-pulse harmonic voltage source models. Second, based on the DC-side equivalent models mentioned previously and the nodal voltage analysis method, an analytical method and complete procedures for the calculation of the DC-side harmonic currents in the HVDC systems, namely, the equivalent disturbing current, are described. Finally, a case study is carried out on a 4000 MW/±800 kV HVDC system. In the same condition, the analytical results are basically consistent with the simulation results of PSCAD/EMTDC, thus proving the accuracy of the proposed model.

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Section: Transmission Line Model Based On Phase-mode Transformationmentioning

confidence: 99%

Section: Line Nodal Admittance Matrix Y Lmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Research on transmission line model based on phase‐mode transformation in HVDC system

Lai

et al. 2019

IEEJ Transactions Elec Engng

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“…Assuming that the self and mutual admittance matrices of the line section of length l p are already known as Y s,p and Y m,p , then the nodal equation of the line section of length l p + 1 can be represented as follows [21]: (14) where U NS , U NM , and U NR are the nodal voltage vectors at the corresponding node; I NS , I NM , and I NR are the current injection vectors. Equation (14) can be rearranged in a partitioned matrix form by considering the nodes NS and NR together as the retained nodes: (15) where Y 11,p , Y 12,p , Y 22,p , and Y 21,p correspond to the admittance matrix partitions of Equation (14);…”

Section: Recursive Approach For the Long Transmission Linementioning

confidence: 99%

“…However, this model is based on the assumption that the transformation matrix can be approximated by a real constant matrix. In fact, the asymmetrical degree of the multiple conductors and the frequency dependence of the line parameters undermine the validity of the assumption [2,[10][11][12][13][14][15]. For the latter, the transmission line is represented by its coupled model in the phase domain.…”

Section: Introductionmentioning

confidence: 99%

Numerical harmonic modeling of long coupled transmission lines using matrix series theory and recursive approach

Weng

2012

Int J Numerical Modelling

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SUMMARY To improve the efficiency of the harmonic analysis, this paper presents a direct phase‐domain harmonic model for long coupled transmission lines, which can take the parameter frequency dependence, the configuration asymmetry, and the untransposition of the line into consideration. The steps of the proposed modeling method are as follows. First, in the direct phase domain and on the basis of the travelling wave equation, the coupled transmission line model was derived in a nodal admittance matrix form. Then the matrix series theory was adopted to realize the numerical calculation of the nodal admittance matrix without relying on the eigenvalue and eigenvector calculations of the propagation matrix. Finally, a recursive approach was proposed to handle the nodal equation of the network containing long transmission lines. Both the accuracy and the efficiency of the proposed approach were verified by comparing with the exact method in which it is necessary to calculate the eigenvalues and eigenvectors of the propagation matrix. The computation time and memory consumption analysis indicates that the proposed approach excels the exact method in saving computation time and memory. It should be emphasized that, by utilizing the recursive approach, the proposed approach is always numerically stable and can also be applied to DC transmission lines. Copyright © 2012 John Wiley & Sons, Ltd.

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Single real transformation matrices applied to double three-phase transmission lines

Campos

Filho

Prado

et al. 2008

Electric Power Systems Research

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Modal Transformation Analyses for Double Three-Phase Transmission Lines

Cited by 10 publications

References 14 publications

Research on transmission line model based on phase‐mode transformation in HVDC system

Research on transmission line model based on phase‐mode transformation in HVDC system

Numerical harmonic modeling of long coupled transmission lines using matrix series theory and recursive approach

Single real transformation matrices applied to double three-phase transmission lines

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