1997
DOI: 10.1109/61.568228
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Protective relaying considerations for transmission lines with high voltage AC cables

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Cited by 21 publications
(4 citation statements)
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“…The eigenvalues k 1 and k 2 are given from the characteristic equation: det (kI À ZY) = 0. The solution (18) can be expressed by hyperbolic functions as (19) V c ðxÞ ¼ C 1 coshðk 1 xÞ þ C 2 sinhðk 1 xÞ þ C 3 coshðk 2 xÞ þ C 4 sinhðk 2 xÞ V s ðxÞ ¼ C s 1 coshðk 1 xÞ þ C s 2 sinhðk 1 xÞ þ C s 3 coshðk 2 xÞ þ C s 4 sinhðk 2 xÞ ð19Þ The coefficients C i and C s i for i ¼ ð1 À 4Þ depend on voltages and currents available in source substation at the incident moment and the various boundary conditions. Then: @V c ðxÞ @x ¼ k 1 C 1 sinhðk 1 xÞþk 1 C 2 coshðk 1 xÞþk 2 C 3 sinhðk 2 xÞþk 2 C 4 coshðk 2 xÞ @V s ðxÞ @x ¼ k 1 C s 1 sinhðk 1 xÞþk 1 C s 2 coshðk 1 xÞþk 2 C s 3 sinhðk 2 xÞþk 2 C s 4 coshðk 2 xÞ ð20Þ…”
Section: Model Equations Of the Cablementioning
confidence: 99%
See 2 more Smart Citations
“…The eigenvalues k 1 and k 2 are given from the characteristic equation: det (kI À ZY) = 0. The solution (18) can be expressed by hyperbolic functions as (19) V c ðxÞ ¼ C 1 coshðk 1 xÞ þ C 2 sinhðk 1 xÞ þ C 3 coshðk 2 xÞ þ C 4 sinhðk 2 xÞ V s ðxÞ ¼ C s 1 coshðk 1 xÞ þ C s 2 sinhðk 1 xÞ þ C s 3 coshðk 2 xÞ þ C s 4 sinhðk 2 xÞ ð19Þ The coefficients C i and C s i for i ¼ ð1 À 4Þ depend on voltages and currents available in source substation at the incident moment and the various boundary conditions. Then: @V c ðxÞ @x ¼ k 1 C 1 sinhðk 1 xÞþk 1 C 2 coshðk 1 xÞþk 2 C 3 sinhðk 2 xÞþk 2 C 4 coshðk 2 xÞ @V s ðxÞ @x ¼ k 1 C s 1 sinhðk 1 xÞþk 1 C s 2 coshðk 1 xÞþk 2 C s 3 sinhðk 2 xÞþk 2 C s 4 coshðk 2 xÞ ð20Þ…”
Section: Model Equations Of the Cablementioning
confidence: 99%
“…(14), we calculate the second order differential equation @ 2 V @x 2 and @ 2 I @x 2 ; what gives a solution as (18).…”
Section: Model Equations Of the Cablementioning
confidence: 99%
See 1 more Smart Citation
“…Thus, combining double circuit lines with single circuit segment or combining overhead line with cable segments together can influence the performance of the distance functions letting the fault be more distant from its actual point. These effects may consequently lead to unnecessary tripping of the local relay or to undesirable acceleration of the remote one (Zipp et al, 1997). Protective relaying unfortunately, the utilized protective functions with such hybrid lines are typically similar to those used for uniform lines.…”
Section: Introductionmentioning
confidence: 99%