Details
| Original language | English |
|---|---|
| Pages (from-to) | 564-570 |
| Number of pages | 7 |
| Journal | IEEE Transactions on Power Delivery |
| Volume | 18 |
| Issue number | 2 |
| Publication status | Published - 1 Apr 2003 |
Abstract
Keywords
- electric impedance, electric resistance, magnetic permeability, permittivity, air, overhead line conductors, inductance, magnetic flux, line series impedances, series expansions, specific resistances, magnetic permeabilities, dielectric permittivities, conductors, ground, asymptotic series expansion, mutual line impedances, self line impedances, power series, infinite series expansions, limiting values, frequency curves, inductances, magnetic ground permeabilities, current displacement, lossy ground, Impedance, Permeability, Permittivity, Conductors, Frequency, Conducting materials, Magnetic materials, Magnetic flux, Dielectric materials, Equations
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In: IEEE Transactions on Power Delivery, Vol. 18, No. 2, 01.04.2003, p. 564-570.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Series expansions for line series impedances considering different specific resistances, magnetic permeabilities, and dielectric permittivities of conductors, air, and ground
AU - Hofmann, L.
PY - 2003/4/1
Y1 - 2003/4/1
N2 - A power series and for very high frequencies, an asymptotic series expansion for the calculation of the self and mutual line impedances are derived and verified. The different specific resistances, magnetic permeabilities, and dielectric permittivities of the three relevant materials, namely, conductor, air, and ground, are completely taken into account, which is not completely considered in the available literature. Breaking up the power series after the first terms results in simplified expressions near power frequency. The defining equations for the coefficients of the power series expansion are given by infinite series expansions. Their limiting values, as well as the frequency curves of the self and mutual resistances and inductances, are calculated for different magnetic ground permeabilities. Due to the current displacement in the lossy ground, the resistances increase with frequency whereas the inductances decrease. With increasing permeability of the ground, the resistances and inductances increase due to the higher magnetic flux in the ground.
AB - A power series and for very high frequencies, an asymptotic series expansion for the calculation of the self and mutual line impedances are derived and verified. The different specific resistances, magnetic permeabilities, and dielectric permittivities of the three relevant materials, namely, conductor, air, and ground, are completely taken into account, which is not completely considered in the available literature. Breaking up the power series after the first terms results in simplified expressions near power frequency. The defining equations for the coefficients of the power series expansion are given by infinite series expansions. Their limiting values, as well as the frequency curves of the self and mutual resistances and inductances, are calculated for different magnetic ground permeabilities. Due to the current displacement in the lossy ground, the resistances increase with frequency whereas the inductances decrease. With increasing permeability of the ground, the resistances and inductances increase due to the higher magnetic flux in the ground.
KW - electric impedance
KW - electric resistance
KW - magnetic permeability
KW - permittivity
KW - air
KW - overhead line conductors
KW - inductance
KW - magnetic flux
KW - line series impedances
KW - series expansions
KW - specific resistances
KW - magnetic permeabilities
KW - dielectric permittivities
KW - conductors
KW - ground
KW - asymptotic series expansion
KW - mutual line impedances
KW - self line impedances
KW - power series
KW - infinite series expansions
KW - limiting values
KW - frequency curves
KW - inductances
KW - magnetic ground permeabilities
KW - current displacement
KW - lossy ground
KW - Impedance
KW - Permeability
KW - Permittivity
KW - Conductors
KW - Frequency
KW - Conducting materials
KW - Magnetic materials
KW - Magnetic flux
KW - Dielectric materials
KW - Equations
U2 - 10.1109/TPWRD.2003.810493
DO - 10.1109/TPWRD.2003.810493
M3 - Article
VL - 18
SP - 564
EP - 570
JO - IEEE Transactions on Power Delivery
JF - IEEE Transactions on Power Delivery
SN - 1937-4208
IS - 2
ER -