Considerations on the non-active power using geometric algebra

Castilla, M.; Bravo, Juan Carlos; Montañó, J.C.; Ordóñez, Manuel; López, A.

doi:10.1109/powereng.2011.6036438

Cited by 1 publication

(1 citation statement)

References 19 publications

(24 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…With the compensator in place the current through the supply source is now governed by (19) Left multiplication by (13) over (19) provides the power at the voltage source, the compensator and the load. Thus (20) Since then so (20) reduces to . The terms and , can be sorted as…”

Section: A Generic Overview Of the Power Theorymentioning

confidence: 97%

Advantages of Geometric Algebra Over Complex Numbers in the Analysis of Networks With Nonsinusoidal Sources and Linear Loads

Castro-Núñez

Castro-Puche

2012

IEEE Trans. Circuits Syst. I

View full text Add to dashboard Cite

An alternative circuit analysis technique is used to study networks with nonsinusoidal sources and linear loads. In contrast to the technique developed by Steinmetz, this method is supported by geometric algebra instead of the algebra of complex numbers, uses multivectors in place of phasors and is performed in the domain instead of the frequency domain. The advantages of this method over the present technique involve: determining the flow of current and power quantities in the circuit, validating the results using the principle of conservation of energy, discerning and revealing other forms of reactive power generation, and the ability to design compensators with great flexibility. The power equation is composed of the active power and the -power representing the nonactive power. All the -power terms are sorted into reactive power terms due to phase shift, reactive power terms due to harmonic interactions and degrading power terms which determine the new quantity called degrading power. This decomposition shows that estimating these quantities is intricate. It also displays the power equation's functionality for power factor improvement. The geometric addition of power quantities is not pre-established but results from applying the established norm and yields the new quantity called net apparent power.Index Terms-Compensator design, harmonics, power factor, power flow, reactive and apparent power.

show abstract