## Modeling of Frequency Dependence in Untransposed Transmission Lines |

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### Contents

WAVE PROPAGATION IN TRANSMISSION LINES | 5 |

MODELING OF FREQUENCY DEPENDENCE | 27 |

PROPOSED FORMULATION IN TERMS OF PHASE QUANTITIES | 54 |

7 other sections not shown

### Common terms and phrases

A(co Al-Bahrani approximating rational function approximating the components asymptotic approximation backward traveling bk(t bm(t Budner cable characteristic admittance matrix characteristic impedance column vector conductance matrix constant parameters convolution integrals corresponding DAMPING COEFFICEINT differential equations domain form Dommel electromagnetic transients EMTP equivalent network exact solution fm(t formulation FREOUENCT frequency domain Frequency response given by equation I I I I I I I I I ik(t ikc(t integral of equation inverse Fourier transform line characteristic admittance line equations line parameters line shunt magnitude functions method of characteristics modal quantities Model simulation MSEC node numerical obtained phase angle phase quantities phase voltages proposed model QUADRATIC TERMS PARAMETERS rational functions approximating receiving end recursive convolution REFERENCE LEVEL response of phase s-plane shown in Figure simultaneous energization single phase skin effect Snelson's step responses sum of exponentials transfer matrix transformation matrices transmission line values vk(t vm(t weighting functions weighting matrix a(t yc(t ZEP.O