Mai suna Long Transmission Line?

Mai yana kungiyar zabe na hanyar daɗi?

Bayanin Kungiyar Zabe na Hanyar Daɗi

Kungiyar zabe na hanyar daɗi yana nufin kungiyar zabe mai tsawon 250 km (150 miles), wanda ya buƙata hanyar tattalin modeli mai yawa.

Kungiyar zabe na hanyar daɗi yana nufin kungiyar zabe mai tsawon 250 km (150 miles). Saboda haka, ba zabe masu tsawo kadan ko kungiyar zabe na ciki, kungiyar zabe na hanyar daɗi sun buƙata tattalin modeli mai yawa daga fadada tsawonsa. Wannan yana gina cewa maida magana da ABCD parameters na kungiyar zabe na hanyar daɗi yana iya zama mai yawa, amma yana ba mina karfin samun sashi da kudin da ke kaɗa birnin da ke cikin kungiyar zabe.

A cikin kungiyar zabe na hanyar daɗi, abubuwa masu kungiyar sun fi sauti a cikin tsawonsa. Wannan shine saboda tsawon kungiyar yana da tsawon da yake da ita da ma'ana a cikin tattalin modeli na hanyar daɗi (kungiyar zabe na ciki da kungiyar zabe na hanyar daɗi) don haka ba zan iya yi bayanai masu:

Igbon shunt admittance na network, kamar yadda ake yi a tattalin modeli na kungiyar zabe na musamman. Koyar circuit impedance da admittance a kan wurare kan kamar yadda ake yi a tattalin modeli na kungiyar zabe na ciki.

Ba haka, muna buƙata cewa circuit impedance da admittance suka sauti a cikin tsawonsa. Wannan yana gina cewa maida magana da bayanai masu yawa. Don tattalin modeli na yawan, muna amfani da diagram na circuit na kungiyar zabe na hanyar daɗi.

A nan, kungiyar da tsawon l > 250km an sanar da shi da sashin VS da kudin IS, inda VR da IR ne ma'anar sashi da kudi da aka samu daga bincike. Yana da wannan elementi mai tsawo mai kalmomi Δx a wurare x daga bincike kamar yadda ake bayyana a cikin diagram.

V = ma'anar sashi da ke kaɗa elementi Δx.

I = ma'anar kudi da ke kaɗa elementi Δx.

V+ΔV = sashi da ke fitar elementi Δx.

I+ΔI = kudi da ke fitar elementi Δx.

ΔV = drop na sashi a cikin elementi Δx.

zΔx = series impedance na elementi Δx

yΔx = shunt admittance na elementi Δx

Idan, Z = z l da Y = y l ne ma'anar total impedance da admittance na kungiyar zabe na hanyar daɗi.

Saboda haka, drop na sashi a cikin elementi Δx mai kalmomi yana nufin

Don tabbatar da kudi ΔI, muna amfani da KCL zuwa node A.

Saboda ΔV yΔx yana nufin ƙwarewa ɗaya daga biyu, muna iya juye shi don magana da yawa.

Saboda haka, muna iya rubuta

A nan, muna ci gaba da kowane ƙaramin eq (1) w.r.t x,

A nan, muna koyar da equation (2)

Gaba-gaban da ake bayyana ta hanyar equation na ɗaya yana nufin

A nan, muna ci gaba da equation (4) w.r.to x.

A nan, muna tattara equation (1) da equation (5)

A nan, don ci gaba, muna ce characteristic impedance Zc da propagation constant δ na kungiyar zabe na hanyar daɗi yana nufin

Saboda haka, equation na sashi da kudi zan iya rubuta a cikin characteristic impedance da propagation constant at

A nan, idan x=0, V= VR da I= Ir. Muna koyar da waɗannan al'amuran zuwa equation (7) da (8) tushen.

Amfani da equation (9) da (10), muna samu ma'anar A1 da A2

A nan, amfani da ƙarin al'amuran a x = l, muna samu V = VS da I = IS. Don tabbatar da VS da IS, muna koyar da x zuwa l da kuma koyar da ma'anar A1 da A2 zuwa equation (7) da (8) muna samu

Da trigonometric da exponential operators, muna samu

Saboda haka, equation (11) da (12) zan iya rubuta

Saboda haka, domin tattalin ABCD parameters na kungiyar zabe na hanyar daɗi, muna samu