THREE PHASE SYSTEM AND PHASE SEQUENCE BASIC AND TUTORIALS


The major portion of all electric power presently used in generation, transmission, and distribution uses balanced three-phase systems. Three-phase operation makes more efficient use of generator copper and iron.

Power flow in single-phase circuits was shown in the previous section to be pulsating. This drawback is not present in a three-phase system. Also, three-phase motors start more conveniently and, having constant torque, run more satisfactorily than single-phase motors.

However, the complications of additional phases are not compensated for by the slight increase of operating efficiency when polyphase systems other than three-phase are used.

A balanced three-phase voltage system is composed of three single phase voltages having the same magnitude and frequency but time-displaced from one another by 120°.

Figure 2.5(a) shows a schematic representation where the three single-phase voltage sources appear in a Y connection; a Δ configuration is also possible. A phasor diagram showing each of the phase voltages is also given in Figure 2.5(b).


Phase Sequence
As the phasors revolve at the angular frequency ω with respect to the reference line in the counterclockwise (positive) direction, the positive maximum value first occurs for phase a and then in succession for phases b and c.



Stated in a different way, to an observer in the phasor space, the voltage of phase a arrives first followed by that of b and then that of c. The three-phase voltage of Figure 2.5 is then said to have the phase sequence abc (order or phase sequence or rotation are all synonymous terms).

This is important for applications, such as three-phase induction motors, where the phase sequence determines whether the motor turns clockwise or counterclockwise.

With very few exceptions, synchronous generators (commonly referred to as alternators) are three phase machines. For the production of a set of three voltages phase-displaced by 120 electrical degrees in time, it follows that a minimum of three coils phase-displaced 120 electrical degrees in space must be used.

It is convenient to consider representing each coil as a separate generator. An immediate extension of the single-phase circuits discussed above would be to carry the power from the three generators along six wires.

However, instead of having a return wire from each load to each generator, a single wire is used for the return of all three. The current in the return wire will be Ia + Ib + Ic; and for a balanced load, these will cancel out. If the load is unbalanced, the return current will still be small compared to either Ia, Ib, or Ic.

Thus the return wire could be made smaller than the other three. This connection is known as a four wire three-phase system. It is desirable for safety and system protection to have a connection from the electrical system to ground. A logical point for grounding is the generator neutral point.

VOLTAGE – CURRENT AND POWER IN A CIRCUIT WITH COMBINED RESISTANCE AND INDUCTANCE BASIC AND TUTORIALS



Apparent Power
The practical significance of apparent power is as a rating unit. For example, an ac generator supplies apparent power at essentially constant voltage and frequency. Its output capacity is then described in Mega Volt Amps (MVA).

Transformer and motor capacities are also rated in MVA or KVA for similar reasons. Although the utility must provide apparent power, it receives direct compensation only for active power utilised by its customers.

The ratio of active to apparent power is therefore, an important quantity and is defined as the power factor. This number can range from zero to one but good economics requires it to be as close to unity as possible.

It can be thought of as a measure of the system’s effectiveness in using apparent power to do useful work. The terminology can be in any one of the following forms:

Power Factor = PF
= Real Power/Apparent Power
= Watts/ Volt Amps

Note: There is a time lag between the apparent power and real power. This corresponds to the time lag between voltage and current for reactive loads.

For capacitive loads, we have a leading power factor.

For inductive loads, it is lagging. Power Factor Angle is a measurement that describes how close the apparent power is to being totally real or supplying a pure resistive load. The Power Factor rating can be summarized in two main areas:

• Efficiency: The lower the power factor, demanded by the load which requires a given amount of active power, the greater the size of line current that has to be supplied by the generator and sent through the transmission system. This means higher winding and line losses and reduced efficiency;

• Voltage Regulation: The lower the power factor and the greater the generator current, the greater the reactance voltage drops along the line. This means a lower voltage at the load and, consequently, poorer system voltage regulation.

The relationship between apparent, active and reactive power is that of a right-angled triangle.


The following relationships exist between voltage, current, apparent power (U), active power (P) and reactive power (Q).
U^2 = P^2+Q^2
U = VI
P = VI cosθ
Q = VI sinθ
The power factor is equal to cosθ

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