Yadda Karamin Nuna da Y Bus

Bayyana Matricin Admittance na Ybus

S1, S2, S3 su ne sunan kike mai sauri masu iya kan bus 1, 2, 3 daban-daban
y12, y23, y13 su ne sunan admittances masu ƙungiyoyi 1-2, 2-3, 1-3
y01sh/2, y02sh/2, y03sh/2 su ne sunan admittance na ƙungiyar tsakiyar lalace 1-2, 1-3 da 2-3

Admittances na ƙungiyar tsakiyar lalace masu iya kan bus ɗaya suka fito a matsayin ɗaya

Idan a yi KCL a bus 1, zan iya samun

Amsa, V1, V2, V3 su ne sunan voltages masu iya kan bus 1, 2, 3 daban-daban

Amsa,

Daga cikin bayyana KCL a buses 2 da 3 zan iya samun muhimmin I2 da I3
Za a haɗa da


Daga cikin n bus system

Abubuwa game da matricin YBUS:

1. YBUS itcewa ce ta fi shafi

2. Elements na diagonal suke dominanta

3. Elements na off diagonal suke symmetric

4. Element na diagonal ta ƙofin ɗaya ita ce jami'ar admittances masu iya kan ɗaya

5. Element na off diagonal ita ce admittance wanda ya zama negative

Bayyana Tashar Me Kuke So Kuɗi

Sunan kike mai sauri masu iya kan bus i ita ce:

A yi conjugate

A taka harsuna Ii a tushen (2)

Don bayyana tashar me kuke so kuɗi a form na polar a tushen (4) a taka harsuna

A taka harsuna abubuwan da aka bani tushen (4) yana zama

A tushen (5) a lokaci na gaba ɗaya angles suke zama ɗaya. Zan iya maganadon ba da lafiya
Don haka tushen (5) yana zama

Expansion of equation (6) into sine and cosine terms gives

Equating real and imaginary parts we get

Tushen (7) da (8) su ne tashar me kuke so kuɗi a form na polar. Abubuwan da aka samu sunan tushen aljebra na biyu da za su iya ƙirƙira da algoritmins iterative.
Amma don samun tashar me kuke so kuɗi a form na rectangular a tushen (4) a taka harsuna

A taka harsuna abubuwan da aka bani a tushen (4) da equating real and imaginary parts we get

Tushen (9) da (10) su ne tashar me kuke so kuɗi a form na rectangular.

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