Understanding Delta System Voltage Relationships

In electrical power systems, different configurations are used for connecting generators, transformers, and loads. The Delta ($\Delta$) connection is one such configuration. In a Delta system, the relationship between the voltage across a single winding (phase voltage, $V_p$) and the voltage measured between two lines (line voltage, $V_L$) is fundamental.

Phase vs. Line Voltage in Delta Connection

A key characteristic of the Delta ($\Delta$) connection is that the voltage across each winding (phase voltage) is the same as the voltage between the lines that the winding connects (line voltage).

This can be stated as the formula:

$$ V_L = V_p $$

Where:

• $V_L$ represents the Line Voltage
• $V_p$ represents the Phase Voltage

Calculating Line Voltage in the Given Scenario

The question states that we have a Delta-Delta ($\Delta$-$\Delta$) system and provides the phase voltage:

Phase Voltage ($V_p$) = 100 V

Using the relationship $V_L = V_p$ for a Delta system, we can calculate the line voltage:

$$ V_L = 100 \, \text{V} $$

Conclusion on Delta System Voltage

Therefore, in a $\Delta$-$\Delta$ system, a phase voltage of 100 V results in a line voltage of 100 V. This matches the first option provided.