Multivectorial strategy to interpret a resistive behaviour of loads in smart buildings

Abstract

In Smart buildings, electric loads are affected by an important distortion in the current and voltage waveforms, caused by the increasing proliferation of non linear electronic devices. This paper presents an approach on non sinusoidal power theory based on Geometric Algebra that clearly improves traditional methods in the optimization of apparent power and power factor compensation. An example is included that demonstrates the superiority of this approach compared with traditional methods.

Geometric Algebra in Nonsinusoidal Power Systems: A Case of Study for Passive Compensation

“…It shows the active power P, degradation power CN d and reactive power CN r . This power clearly differs from that obtained by Budeanu or that obtained by the authors of [33]. A comparison of these theories is also shown in Table 2.…”

“…The power involved has several components, although it will be shown how the traditional approach to power factor improvement is not very successful. Note that the proposal made in this paper also improves the one made by [33], going from a compensated power factor of 0.63 to a higher one of 0.83.…”

“…All the power theories agree on finding the active power, P, but this is not the case for the rest of the other concepts. Both Budeanu and Castilla [33] obtain a lower reactive and apparent power, as well as a higher distortion (degraded) power. The power factor obtained by Budeanu and Castilla is also higher, giving the impression that the system is not really as degraded as it really is.…”

“…To demonstrate the robustness of geometric algebra in the resolution of nonsinusoidal electrical circuits and to verify that it is a useful and valid method, the circuit shown in Figure 4, already exposed in [33], will be solved. This theoretical circuit represents a hypothetical electrical circuit in a modern microgrid building, where the application of a nonsinusoidal voltage to a linear load results in the circulation of a nonsinusoidal current.…”

“…This approach allows the designing of simpler and more efficient compensators than those proposed by Czarnecki [31,32]. In addition, the proposal made in this article improves other proposals based on GA such as those of Castilla [33]. The main contributions of this work are briefly presented under the following considerations:…”