arpon said:To prove the wye-delta transformation formula, it is said 'If the two circuits are to be equivalent,
the total resistance between any two terminals must be the same.' But why ? I can't convince myself that it is sufficient condition for the equivalence of circuits.
The Wye-Delta transformation is a technique used in circuit analysis to simplify complex circuits consisting of resistors and voltage sources. It involves converting a circuit with delta-connected resistors to an equivalent circuit with wye-connected resistors, or vice versa.
The Wye-Delta transformation is used when analyzing three-phase power systems and in situations where a circuit contains both wye and delta connections. It allows for easier analysis of the circuit and can help in determining the total resistance or voltage of the circuit.
To perform the Wye-Delta transformation, the delta-connected resistors are first converted to wye-connected resistors by finding the equivalent resistance between two terminals. Then, the wye-connected resistors are converted to delta-connected resistors by finding the equivalent resistance between three terminals.
The Wye-Delta transformation allows for the simplification of complex circuits, making it easier to analyze and solve. It also helps in reducing the number of calculations needed and can provide a more accurate representation of the circuit's behavior.
The Wye-Delta transformation is only applicable to circuits with balanced loads, meaning that the resistors in the circuit must have the same values. It also cannot be used on circuits with non-linear elements, such as capacitors and inductors.