Teorema da Tashin-tar Star-Delta

        An Star-Delta transformation shi ne aiki da kimi da electrical engineering wanda yake amfani da ita domin bayyana impedansa ta circuit mai uku na aiki a cikin “delta” configuration zuwa “star” (ko “Y”) configuration, ko kuma ziyarta. An kiranta delta configuration a cikin circuit wadanda suka kula tsarin loop, tare da kuka tsara daga baya zuwa biyu. Tsarin star configuration shi ne circuit wadanda suka kula tsarin common point, ko kuma “neutral” point.

An amfani da Star-Delta transformation don in bayyana impedansa ta circuit mai uku a cikin either the delta ko the star configuration, idan haka ya fi kyau don analysis ko design problem na musamman. Aiki na a yi wa a cikin relationships:

• Impedansa ta phase a cikin delta configuration yana iya kasance impedansa ta phase mai uku a cikin star configuration divided by 3.

• Impedansa ta phase a cikin star configuration yana iya kasance impedansa ta phase mai uku a cikin delta configuration multiplied by 3.

Star-Delta transformation yana da muhimmanci a matsayin alama na aiki don in bayyana da kuma design circuits mai uku, hasashe idan an samu circuit da ke da elements connected a cikin tsarin delta da kuma star. Yana ba engineers lurafoce don in amfani da symmetry don in basasa bayanan circuit, kuma yana ba su lurafoce don in fahimta masu aiki da kuma design ita da kyau.

Star-Delta transformation yana iya amfani a cikin circuits mai uku na aiki. Ba za a iya amfani a cikin circuits da suke da number of phases wadanda ba su dace.

RA=R1R2/(R1+R2+R3)  ——— Equation 1

RB=R2R3/(R1+R2+R3)  ——— Equation 2

RC=R3R1/(R1+R2+R3)  ——— Equation 3

Multiply and then add each set of two equations.

RARB+RBRC+RCRA=R1R22R3+R2R32R1+R3R12R2/(R1+R2+R3)2

RARB+RBRC+RCRA= R1R2R3 (R1+R2+R3)/(R1+R2+R3)2

RARB+RBRC+RCRA = (R1+R2+R3)/(R1+R2+R3) ———- Equation 4

Divide Equation 4 by Equation 2 and get

R1=RC+RA+(RC/RARB)

Divide Equation 4 by Equation 3 and get

R2=RA+RB+(RA/RBRC)

Divide Equation 4 by Equation 1 and get

R3=RB+RC+(RB/RCRA)

Resistances of the delta network can be found using the above relations. In this technique, a star network can be converted into a delta network.

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