THREE-PHASE CIRCUITS

Before we discuss about this circuit, the first thing is to discuss about the power system.

Power System

The power system used three phase circuits , this means that the alternating current(AC) have three different phases.(see below)

3PhasePowerWaveF

But why three phases?

There are two reasons for this:

1.  Three-phase generators can be driven by constant force or torque.

2. Industrial applications, such as high-power motors, welding equipments, have constant power output if they are three-phase systems

How ac generator work?

If you know about the electromagnetism theory, that there is  an electric field present in a wire. This had been proven by the famous scientist Micheal Faraday. That there is a current present in a wire when there is a magnetic force acting on it.

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One-phase voltage sources

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Three-phase circuits

CONFIGURATION OF THREE PHASE CIRCUIT SYSTEM

Wye (left) and Delta (right) connected voltage sources

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Va = Vb = Vc    same magnitude but the angle is different by a factor of 120 degree.

The figure below is the circuit for a three phase circuit ( Y-Y)

3-phase_flow

This is a sample of Y-Y circuit. Load is combination of the load and line impedance  ( Zy). And in the end of it is the neutral.

To solve this kind of problem, we should only get one of those three phase circuit because the value used is just equal.  To solve for the line current ( that is going to the line impedance)  use the ohm’s law I = V/Zy. Used this formula but have different angle.

If Load is Delta,   The Zy divide it  by 3.

If the Voltage source, Vp/sqr(3)   ( θ old – 30)

SEQUENCES

abc (positive) sequence b is lag a by 120 degree.

acb (negative) sequence b is lead a by 120 degree.

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