Experiment # 01
1. Objective
Verification of Star/delta load transformation using Resistive load.
Apparatus Required
Resistors (various values)
Variable resistors
Variable Power supply
Digital Multi-meter
Bread board, Jumper wire
2. Circuit Diagram
Fig.1.1: Star Y-Network
Fig.1.2: Delta -Network
Fig.1.3: Resistors in delta-connection
Fig.1.4: Resistors in star-connection
3. Conceptual Background
Star-Delta transformation is a mathematical technique to simplify the analysis of an
electrical network. The transformation is used to establish equivalence for networks with 3
terminals. Where three elements terminate at a common node and none are sources, the node is
eliminated by transforming the impedances. For equivalence, the impedance between any pair
of terminals must be the same for both networks and hence the current through any pair of
nodes must be same for both networks (Refer fig 1.1 & 1.2). The equations given here are valid
for real as well as complex impedances.
Referring figure 1.1 and figure 1.2, following are the equations for transformation from load to Y-load:
R
1
Ra Rb
Ra Rb Rc
Rb Rc
2
Ra Rb Rc
R3
Rc Ra
Ra Rb Rc
Following are the equations for transformation from Y-load to -load:
R R1R2 R2 R3 R3 R1
a
R2
R R1R2 R2 R3 R3 R1
b
R3
R R1R2 R2 R3 R3 R1
c
R1
4. Procedure
a) Compute all readings theoretically and fill column labeled Calculated in
table 1.1 & table 1.2.
b) Connect the circuit as shown in fig 1.3.
c) Use a DMM to measure the voltage Vab and enter in Table 1.1.
d) Use a DMM to measure the currents I1, I2 , IT and Iab, and enter in Table 1.1.
e) Connect the circuit as shown in fig 1.4 and adjust Ra to 1 k
f) Use a DMM to measure the voltage Vab and enter in Table 1.2
g) Use a DMM to measure the currents I1, I2 and IT and enter in Table 1.2
h) Adjust the variable resistor and repeat steps (e) and (f).
5. Observation and Calculations
Calculated
Measured
I1
I2
IT
Iab
Vab
Table 1.1 - Resistors in delta-connection
Var resistor Ra = 500 Var resistor Ra = 820
Var resistor Ra = 1k
Calculated Measured Calculated Measured
Calculated Measured
I1
I2
IT
Vab
Table 1.2 - Resistors in star-connection