Dabbobi a Lami na Tsakiyar Tashin Karamin Rikicin Kula

Abubuwan da ke Inductance a Transmission Line

Yanzu, karamin kai yana shirya kan transmission line tare da AC voltage da current na tsayi. Wannan current na tsayi mai zafi ta yi hanyar conductor yana taka magnetic flux na tsayi da nature mai zafi. Wannan magnetic flux na tsayi yake gina linkage da wasu conductors masu maza ta hanyar conductor na farko. Flux linkage a conductor yana faru cikin da kafuwa. Cikin ciki flux linkage shine saboda self-current, kuma kafuwar ciki shine saboda external flux. Yanzu, sunan inductance yana da alaka da flux linkage, ya bayyana da λ. Idan akwai coil da N number of turn yana linka da flux Φ saboda current I, maka,

Amma a transmission line N = 1. Muna samun ranar flux Φ, kuma saboda haka, za a iya samun inductance na transmission line.

Samun Inductance na Conductor Daya

Samun Internal Inductance Saboda Magnetic Flux Cikin Conductor

Idan akwai conductor da ya shiga current I har zuwa l, x shine radius na bincike na conductor, kuma r shine radius na conductor. Yanzu area na cross-sectional saboda radius x shine πx2 square – unit, kuma current Ix yana shiga wannan area na cross-sectional. Saboda haka, ranar Ix yana iya bayyana saboda current na original I da area na cross-sectional πr2 square – unit

Yanzu a fada thickness dx na 1m length na conductor, inda Hx shine magnetizing force saboda current Ix a are na πx2.

Kuma magnetic flux density Bx = μHx, inda μ shine permeability na conductor. Sauran, µ = µ0µr. Idan an yi amfani da relative permeability na conductor µr = 1, maka µ = µ0. Saboda haka, a nan Bx = μ0 Hx.

dφ for small strip dx is expressed by

A nan area na cross-sectional na duka conductor ba take enclose wannan flux ba. Ratio na area na cross sectional cikin circle na radius x zuwa total area na cross section na conductor yana iya fi sanar da fractional turn da take link flux. Saboda haka, flux linkage shine

Yanzu, total flux linkage na conductor na 1m length da radius r yana bayyana da

Saboda haka, internal inductance shine

External Inductance Saboda External Magnetic Flux na Conductor

Sallama, saboda skin effect, current I na conductor yana juye ne a wurin surface na conductor. Sallama, distance y yana ci gaba daga center na conductor wanda yake take external radius na conductor.

Hy shine magnetizing force, kuma By shine magnetic field density a y distance per unit length na conductor.

Sallama magnetic flux dφ yana cikin thickness dy dari D1 zuwa D2 saboda 1 m length na conductor kamar yadda aka sanya a figure.

Saboda total current I an samu shiga a surface na conductor, saboda haka, flux linkage dλ yana da kyau da dφ.

Amma muna samun flux linkage daga conductor surface zuwa wata external distance, i.e. r zuwa D

Inductance na Two Wire Single Phase Transmission Line

Sallama conductor A da radius rA yana shiga current IA a karamin direction na current IB har zuwa conductor B da radius rB. Conductor A yana cikin distance D daga conductor B, kuma duka biyu su na length l. Su ne a cikin close vicinity saboda flux linkage yana faru a duk conductors saboda electromagnetic effects.