IntermediateTopic 54 of 106Electrical Engineering

Star and delta connections

Line and phase quantities differ by √3 in balanced three-phase systems.

In depth

In wye, V_L=√3 V_ph and I_L=I_ph; in delta, V_L=V_ph and I_L=√3 I_ph. Wye has a neutral and lower phase voltage; delta tolerates a lost transformer in open-delta. Motor starting uses star-delta switching.

Key points

  • Line vs phase quantities
  • Delta circulating harmonics
  • Zig-zag grounding transformers
Example

A motor rated for 400 V delta runs from 690 V in star.

Why it matters

Star and delta connections determine the voltage and current in each winding, which affects how a motor or load is wired to the supply.

Where this is used

  • Choosing a star or delta connection for a motor on a given supply voltage.
  • Calculating the line current drawn by a delta-connected heater.
  • Checking the voltage across a single winding in a star-connected transformer.

Frequently asked questions

What is Star and delta connections?

Line and phase quantities differ by √3 in balanced three-phase systems.

Why is it important to understand star and delta connections?

Star and delta connections determine the voltage and current in each winding, which affects how a motor or load is wired to the supply.

What is the relation between line and phase voltage in star?

In a balanced star, the line voltage equals the square root of three times the phase voltage.

In delta, which quantity is the same as line current?

The line current equals the square root of three times the phase current in a balanced delta, while the line voltage equals the phase voltage.

How is Star and delta connections used in practice?

Typical applications include choosing a star or delta connection for a motor on a given supply voltage, calculating the line current drawn by a delta-connected heater and checking the voltage across a single winding in a star-connected transformer.

What should I learn before Star and delta connections?

Study "Three-phase systems" first (topic 53 of 106 in Electrical Engineering). It covers the groundwork this topic builds on.

What are the key points of Star and delta connections?

Line vs phase quantities. Delta circulating harmonics. Zig-zag grounding transformers.

Can you give an example of Star and delta connections?

A motor rated for 400 V delta runs from 690 V in star.

What comes after Star and delta connections?

The next topic is "Three-phase power measurement", which builds directly on this one.

How difficult is Star and delta connections?

It is classed as Intermediate in Electrical Engineering (topic 54 of 106). It is an intermediate topic. Work through the beginner topics in Electrical Engineering first.

Learning path

Want to practise? Open the interactive course for quick checks, quizzes, simulations and progress tracking.

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