Converts between three-resistor configurations to simplify networks.
Wye and delta resistor networks are equivalent if R_Y=R_ab·R_ac/(R_ab+R_ac+R_bc) etc.; reverse: R_Δ=ΣRᵢRⱼ/R_opposite. Balanced: R_Δ=3R_Y. Helps reduce bridge circuits and three-phase analysis.
A delta of three 30 Ω resistors equals a wye of three 10 Ω.
Star-delta conversion removes bridge-like networks that cannot be reduced by series and parallel rules alone, which is common in three-phase and resistor networks.
Converts between three-resistor configurations to simplify networks.
Star-delta conversion removes bridge-like networks that cannot be reduced by series and parallel rules alone, which is common in three-phase and resistor networks.
Each star resistor equals the product of the two adjacent delta resistors divided by the sum of all three delta resistors.
No. The equivalent network has the same resistance between every pair of terminals.
Typical applications include simplifying a resistor network with a bridge shape, converting a delta motor winding into an equivalent star for analysis and analysing a balanced load in a three-phase system.
Study "Maximum power transfer" first (topic 31 of 106 in Electrical Engineering). It covers the groundwork this topic builds on.
Per-phase equivalent. Used in three-phase loads. Reduces non-series-parallel networks.
A delta of three 30 Ω resistors equals a wye of three 10 Ω.
The next topic is "Dependent sources", which builds directly on this one.
It is classed as Beginner in Electrical Engineering (topic 32 of 106). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.
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