Park's transformation gives the same zero component as the method of symmetrical components.

The degree of imbalance is expressed by symmetrical components.

Symmetrical components are most commonly used for analysis of three-phase electrical power systems.

The analysis of this type of fault is often simplified by using methods such as symmetrical components.

The solution results in voltages and currents that exist as symmetrical components; these must be transformed back into phase values by using the A matrix.

The analysis of unbalanced cases is greatly simplified by the use of the techniques of symmetrical components.

When using the method of symmetrical components, separate one-line diagrams are made for each of the positive, negative and zero-sequence systems.

The technique of symmetrical components is used to simplify analysis of unsymmetrical faults in three-phase systems.

The degradation turns symmetrical components shaped like spheres or cylinders into irregular shapes whose properties are a nightmare to model in computer simulations.

In electrical engineering, the method of symmetrical components is used to simplify analysis of unbalanced three phase power systems under both normal and abnormal conditions.

History article from IEEE on early development of symmetrical components, retrieved May 12, 2005.

Model components were single-phase devices, but using the symmetrical components method, unbalanced three-phase systems could be studied as well.

The dqo transform shown above gives a zero component which is larger than that of Park or symmetrical components by a factor of .

It can be seen that the transformation matrix above is a discrete Fourier transform, and as such, symmetrical components can be calculated for any poly-phase system.

It was not until the invention of the method of symmetrical components in 1918 that polyphase power systems had a convenient mathematical tool for describing unbalanced load cases.

Calculations in unbalanced three-phase systems were simplified by the symmetrical components methods discussed by Charles Legeyt Fortescue in 1918.

However, due to the linearity of power systems, it is usual to consider the resulting voltages and currents as a superposition of symmetrical components, to which three-phase analysis can be applied.

In a paper presented in 1918, Fortescue demonstrated that any set of N unbalanced phasors - that is, any such "polyphase" signal - could be expressed as the sum of N symmetrical sets of balanced phasors known as symmetrical components.