# Star Delta Starter

The **Star Delta Starter** is a very common type of starter and is used extensively as compared to the other type of starting methods of the induction motor. A star delta is used for a cage motor designed to run normally on the delta connected stator winding. The connection of a three-phase induction motor with a star delta starter is shown in the figure below.

When the switch S is in the **START** position, the stator windings are connected in the star as shown below.

When the motor picks up the speed, about 80 percent of its rated speed, the switch S is immediately put into the **RUN** position. As a result, a stator winding which was in star connection is changed into** DELTA** connection now. The delta connection of the stator winding in shown in the figure below.

Firstly, the stator winding is connected in star and then in Delta so that the starting line current of the motor is reduced to one-third as compared to the starting current with the windings connected in delta. At the starting of an induction motor when the windings of the stator are star connected, each stator phase gets a voltage **V _{L}/√3**. Here V

_{L}is the line voltage.

Since the developed torque is proportional to the square of the voltage applied to an induction motor. Star delta starter reduces the starting torque to one-third that is obtained by direct delta starting.

## Theory of Star Delta Starter Method of Starting of Induction Motor

At the starting of the induction motor, stator windings are connected in star and, therefore, the voltage across each phase winding is equal to **1/√3 times** the line voltage.

Let,

- V
_{L}is the line voltage - I
_{styp}is the starting current per phase with the stator windings connected in star. - I
_{styl}is the starting line current with the stator winding in the star

For star connection, the line current is equal to the phase current

Therefore,

If,

- V
_{1}is the phase voltage - V
_{L}is the line voltage - I
_{st}_{Δ}_{p}is the starting current per phase by direct switching with the stator windings connected in delta. - I
_{st}_{Δ}_{l}is the starting line current by direct switching with the stator windings in the delta. - I
_{sc}_{Δ}_{p }is the short circuit phase current by direct switching with the stator windings in the delta. - Z
_{e10}is the standstill equivalent impedance per phase of the motor, referred to the stator

For Delta connection, the line current is equal to the root three times of the phase current.

Therefore,

Thus, with star delta starter, the starting current from the main supply is one-third of that with direct switching in the delta.

Also,

Hence, with star delta starting, the starting torque is reduced to one-third of the starting torque obtained with the direct switching in the delta.

I_{fl}_{Δ}_{p} is the full load phase current with the winding in the Delta

But,

Hence, the equation (4) shown above gives the starting torque of an induction motor in the star delta starting method.

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