Statistical Estimation of Phase-to-Phase Risk of Failure
Estimation of the phase-to-phase risk of failure, Rpp, as a bivariate function of the phase-to-phase over- voltage amplitude U and the ratio α= V- /( V+ + V-) of the phase-to-ground components may be obtained by convolution of the bivariate overvoltage probability frequency density p( U, α) and the...
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Published in | IEEE transactions on power apparatus and systems Vol. PAS-100; no. 2; pp. 812 - 821 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
IEEE
01.02.1981
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Subjects | |
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Abstract | Estimation of the phase-to-phase risk of failure, Rpp, as a bivariate function of the phase-to-phase over- voltage amplitude U and the ratio α= V- /( V+ + V-) of the phase-to-ground components may be obtained by convolution of the bivariate overvoltage probability frequency density p( U, α) and the bivariate breakdown probability of the insulation Pb( U, α). This paper shows, however, that the ratio ax of overvoltages liable to cause breakdown varies within only a narrow range (~0.4 to 0.5) for which the phase-to-phase 50% breakdown voltage undergoes only a minor variation. This allows a simplified estimation of Rpp for a properly selected central value of a and not a variable one. It is shown that ≃0.40 constitutes a reasonable value for this purpose. Under this assumption,α Rpp may be expressed as a function of a phase-to-phase safety factor γpp = UblO/ U2 where UblO is the phase-to-phase voltage causing a 10% breakdown probability and U2 the phase-to- phase overvoltage that might be exceeded with a 2% probability. |
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AbstractList | Estimation of the phase-to-phase risk of failure, Rpp, as a bivariate function of the phase-to-phase over- voltage amplitude U and the ratio α= V- /( V+ + V-) of the phase-to-ground components may be obtained by convolution of the bivariate overvoltage probability frequency density p( U, α) and the bivariate breakdown probability of the insulation Pb( U, α). This paper shows, however, that the ratio ax of overvoltages liable to cause breakdown varies within only a narrow range (~0.4 to 0.5) for which the phase-to-phase 50% breakdown voltage undergoes only a minor variation. This allows a simplified estimation of Rpp for a properly selected central value of a and not a variable one. It is shown that ≃0.40 constitutes a reasonable value for this purpose. Under this assumption,α Rpp may be expressed as a function of a phase-to-phase safety factor γpp = UblO/ U2 where UblO is the phase-to-phase voltage causing a 10% breakdown probability and U2 the phase-to- phase overvoltage that might be exceeded with a 2% probability. |
Author | Menemenlis, C. |
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Cites_doi | 10.1109/TPAS.1978.354509 10.1109/T-PAS.1976.32146 10.1109/TPAS.1978.354744 |
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References | taschini (ref15) 0 (ref10) 1978 (ref7) 1972 ref1 (ref14) 1975 riu (ref5) 1978 anis (ref8) 1978 (ref11) 1980 (ref13) 1979 ref4 studinger (ref6) 1978 thione (ref2) 1977; 33 ref3 menemenlis (ref12) 1980 (ref9) 1980 |
References_xml | – year: 1980 ident: ref11 publication-title: Phase-Phase Switching Surge Design Data – year: 1978 ident: ref6 article-title: phase-to-phase insulation: the influence of time shift between the crests of the positive and negative impulse publication-title: Interlaken Meeting contributor: fullname: studinger – year: 1975 ident: ref14 publication-title: Transmission line reference book 345 kV and above – ident: ref4 doi: 10.1109/TPAS.1978.354509 – year: 1978 ident: ref10 publication-title: Transmission Line Reference Book 115-138 kV Compact Line Designs – ident: ref3 doi: 10.1109/T-PAS.1976.32146 – volume: 33 year: 1977 ident: ref2 article-title: criteria for the evaluation of the parameters defining switching overvoltages based on the dielectric strength publication-title: Colloquium of CIGRE Study Committee contributor: fullname: thione – start-page: 158 year: 1979 ident: ref13 article-title: switching impulse strength of phase to phase external insulation publication-title: Electra – year: 0 ident: ref15 publication-title: Phase to Phase Switching Overvoltages contributor: fullname: taschini – year: 1978 ident: ref8 article-title: coordination of random phase-to-ground and inter-phase overvoltages publication-title: proceedings of the Mid-west Power Symposium contributor: fullname: anis – year: 1972 ident: ref7 publication-title: Insulation Coordination – year: 1980 ident: ref9 publication-title: Overhead Conductor Support System – year: 1978 ident: ref5 article-title: phase-to-phase tests with long time shift between impulses publication-title: Interlaken Meeting contributor: fullname: riu – ident: ref1 doi: 10.1109/TPAS.1978.354744 – year: 1980 ident: ref12 publication-title: Phase to Phase Insulation Coordination contributor: fullname: menemenlis |
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Snippet | Estimation of the phase-to-phase risk of failure, Rpp, as a bivariate function of the phase-to-phase over- voltage amplitude U and the ratio α= V- /( V+ + V-)... |
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SubjectTerms | Amplitude estimation Breakdown voltage Convolution Frequency estimation Insulation Phase estimation Shape Stress Substations Voltage control |
Title | Statistical Estimation of Phase-to-Phase Risk of Failure |
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