Delta to Wye Conversion Calculator
Convert resistor networks between delta (Δ) and wye (Y) configurations for circuit analysis
Resistor Network Conversion
Resistance from node A to B
Resistance from node B to C
Resistance from node C to A
Equivalent Wye (Y) Network
Formulas used:
R1 = (Rb × Rc) / (Ra + Rb + Rc)
R2 = (Rc × Ra) / (Ra + Rb + Rc)
R3 = (Ra × Rb) / (Ra + Rb + Rc)
Example Calculation
Delta to Wye Example
Given: Ra = 10Ω, Rb = 15Ω, Rc = 25Ω
Total resistance: 10 + 15 + 25 = 50Ω
R1 = (15 × 25) / 50 = 7.5Ω
R2 = (25 × 10) / 50 = 5.0Ω
R3 = (10 × 15) / 50 = 3.0Ω
Network Configurations
Delta Network
Three resistors connected in triangle
Shaped like Greek letter delta (Δ)
Wye Network
Three resistors meeting at center
Shaped like letter Y
Applications
Circuit analysis and simplification
Power system design
Three-phase AC systems
Filter networks
Impedance matching
Conversion Tips
Both networks are electrically equivalent
Use for complex circuit simplification
Essential for three-phase power analysis
Maintains same voltage and current at nodes
Understanding Delta-Wye Transformations
What are Delta and Wye Networks?
Delta and Wye networks are two fundamental ways to connect three resistors in electrical circuits. The delta configuration forms a triangle, while the wye configuration resembles the letter Y with three resistors meeting at a central point.
Why Convert Between Networks?
- •Simplify complex circuit analysis
- •Enable series/parallel calculations
- •Analyze three-phase power systems
- •Design filter and matching networks
Transformation Principles
The delta-wye transformation ensures that the equivalent resistance between any two nodes remains the same in both configurations. This electrical equivalence allows engineers to choose the most convenient network for analysis.
Important: The converted networks are electrically equivalent but use different resistance values. Always verify your calculations by checking node voltages and currents.
Common Applications
- •Three-phase motor connections
- •Power transmission systems
- •Audio crossover networks
- •Impedance matching circuits