# Line voltage and phase relationship

### Relationship of Line and Phase Voltages and Currents in a Star Connected System

While the 'normal' three phase delta and wye voltage relationship is easily captured in a simple formula, this applies only with equal line to neutral voltages, . Relation Between Phase Voltage and Line Voltage in Delta Connection; Relation Between Phase Current and Line Current in Delta Connection. To obtain the. Consider a balanced star connected system as shown in figure below. Let VR, V Y and VB represent the phase voltages (Vph) while line voltages (VL) are given.

## Relationship of Line and Phase Voltages and Currents in a Star Connected System

This is illustrated in Figure 2. Phase rotation does not affect most loads except for three phase AC motors which will turn in opposite direction if the phase rotation is changed. Changing phase rotation can be accomplished by swapping any two of three phase connections.

The AFX also allows phase imbalances to be programmed to study the effect of phase variations on a unit under test. This relationship between line to neutral and line to line voltage is shown in the phase diagram of Figure 3. Three Phase Phasor Diagram Figure 4 below shows two typical examples of three phase utility grid voltage configurations used in the United States.

To simulate this type of grid with an AC power source, the 3 phase load is connected as a delta between the three output phases only with no connection to the neutral output terminal.

### Understanding Three Phase Voltage | Pacific Power Source

Thus, if any of the stated conditions are not true, you cannot just rely on this formula to determine Line to Line voltage: Identical VLN voltages on all three phases Balanced Phase angles on phase B and C Low distortion, pure sinewave A small phase shift on one or more of the three phases can have a significant impact on VLL voltages which results in load current imbalance as well.

A distorted voltage caused by a non-linear load on one of more phases can also throw off the Line to Line voltages. Why Does it Matter? Programmable three phase AC power sources have adjustable phase angles and often support arbitrary waveform capability.

Starting with the top winding and progressing counter-clockwise, our KVL expression looks something like this: Indeed, if we add these three vector quantities together, they do add up to zero.

Another way to verify the fact that these three voltage sources can be connected together in a loop without resulting in circulating currents is to open up the loop at one junction point and calculate voltage across the break: Sure enough, there will be zero voltage across the break, telling us that no current will circulate within the triangular loop of windings when that connection is made complete.

### Relationship between Line and Phase Voltages and Currents in Star Connection - ELECTRICAL SIMPLE

Conversely, because each line conductor attaches at a node between two windings, the line current will be the vector sum of the two joining phase currents. With each load resistance receiving volts from its respective phase winding at the source, the current in each phase of this circuit will be So each line current in this three-phase power system is equal to The answer is no.

With a Y-connected system, a neutral wire was needed in case one of the phase loads were to fail open or be turned offin order to keep the phase voltages at the load from changing.

This is not necessary or even possible! With each load phase element directly connected across a respective source phase winding, the phase voltage will be constant regardless of open failures in the load elements. Even with a source winding failure, the line voltage is still V, and load phase voltage is still V.

- Understanding Three Phase Voltage
- Three-phase Y and Delta Configurations
- Relationship between Line and Phase Voltages and Currents in Star Connection

The only difference is extra current in the remaining functional source windings. Compare this fault tolerance with a Y-connected system suffering an open source winding in Figure below. In this case, two load resistances suffer reduced voltage while the third loses supply voltage completely!

However, if dual voltages are needed e. The conductors connected to the three points of a three-phase source or load are called lines. The three components comprising a three-phase source or load are called phases.