Chapter 12 three phase circuits
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Chapter 12 Three Phase Circuits. Chapter Objectives: Be familiar with different three-phase configurations and how to analyze them. Know the difference between balanced and unbalanced circuits Learn about power in a balanced three-phase system

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Chapter 12 three phase circuits l.jpg
Chapter 12Three Phase Circuits

  • Chapter Objectives:

  • Be familiar with different three-phase configurations and how to analyze them.

  • Know the difference between balanced and unbalanced circuits

  • Learn about power in a balanced three-phase system

  • Know how to analyze unbalanced three-phase systems

  • Be able to use PSpice to analyze three-phase circuits

  • Apply what is learnt to three-phase measurement and residential wiring

Huseyin Bilgekul

Eeng224 Circuit Theory II

Department of Electrical and Electronic Engineering

Eastern Mediterranean University


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Power in a Balanced System

  • The total instantaneous power in a balanced three phase system is constant.


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Power in a Balanced System

  • The important consequences of the instantenous power equation of a balanced three phase system are:


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Power in a Balanced System

  • The complex power per phase is Sp. The total complex power for all phases is S.


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Power in a Balanced System

  • The complex power per phase is Sp. The total complex power for all phases is S.


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Power in a Balanced System

Ip

Vp

Vp

Ip

Vp

VL

VL

VL

VL

Ip

Vp

Vp

Ip

Ip

Ip

VL

Vp

VL

  • Notice the values of Vp, VL, Ip, IL for different load connections.

Y connected load.

Δ connected load.



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Single versus Three phase systems

  • Three phase systems uses lesser amount of wire than single phase systems for the same line voltage VL and same power delivered.

a) Single phase system b) Three phase system

  • If same power loss is tolerated in both system, three-phase system use only 75% of materials of a single-phase system


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VL=840 V (Rms)

IL

Capacitors for pf Correction


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Unbalanced Three Phase Systems

  • An unbalanced system is due to unbalanced voltage sources or unbalanced load.In a unbalanced system the neutral current is NOT zero.

Unbalanced three phase Y connected load.

Line currents DO NOT add up to zero.

In= -(Ia+ Ib+ Ic) ≠ 0


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Three Phase Power Measurement

Two-meter method for measuring three-phase power


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Residential Wiring

Single phase three-wire residential wiring


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