Single line diagram

In power engineering, a one line diagram or single line diagram (SLD) is a simplified notation for representing a three phase power system. The one line diagram has its largest application in power flow studies. Electrical elements such as circuit breakers, transformers, capacitors, bus bars, and conductors are shown by standardized schematic symbols. Instead of representing each of three phases with a separate line or terminal, only one conductor is represented. It is a form of block diagram graphically depicting the paths for power flow between entities of the system. Elements on the diagram do not represent the physical size or location of the electrical equipment, but it is a common convention to organize the diagram with the same left to right, top to bottom sequence as the switch gear or other apparatus represented. A one line diagram can also be used to show a high level view of conduit runs for a PLC control system.

Balanced systems

The theory of three phase power systems tells us that as long as the loads on each of the three phases are balanced, we can consider each phase separately. In power engineering, this assumption is often useful, and to consider all three phases requires more effort with very little potential advantage. An important and frequent exception is an asymmetrical fault on only one or two phases of the system.

A one line diagram is usually used along with other notional simplifications, such as the per unit system.

A secondary advantage to using a one line diagram is that the simpler diagram leaves more space for nonelectrical, such as economic, information to be included.

Unbalanced systems

When using the method of symmetrical components, separate one line diagrams are made for each of the positive, negative and zero sequence systems. This simplifies the analysis of unbalanced conditions of a poly phase system. Items that have different impedance for the different phase sequences are identified on the diagrams. For example, in general a generator will have different positive and negative sequence impedance, and certain transformer winding connections block zero sequence currents. The unbalanced system can be resolved into three single line diagrams for each sequence, and interconnected to show how the unbalanced components add in each part of the system.

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