Abstract
New-generation power networks, such as microgrids, are being affected by the proliferationof nonlinear electronic systems, resulting in harmonic disturbances both in voltage and current thataffect the symmetry of the system. This paper presents a method based on the application of geometricalgebra (GA) to the resolution of power flow in nonsinusoidal single-phase electrical systems for thecorrect determination of its components to achieve passive compensation of true quadrature current.It is demonstrated that traditional techniques based on the concepts of Budeanu, Fryze or IEEE1459fail to determine the interaction between voltage and current and therefore, are not suitable for beingused as a basis for the compensation of nonactive power components. An example is included thatdemonstrates the superiority of GA method and is compared to previous work where GA approachesand traditional methods have also been used.
Highlights
The new power grids are a major step forward for today’s society, as they allow better energy management and integration with new renewable sources such as solar, wind, etc. [1]
During the normal operation of the network, the system usually presents a symmetry in the waveform of voltage and current, all these elements can cause the network to supply a highly distorted current, so the symmetry is broken
The concept of nonactive, reactive or distorted power acquires a meaning that is more in line with its mathematical significance, allowing a better understanding of the energy balances and verification of the principle of energy conservation. It is presented as a natural language to describe the deeper symmetry that underlies mathematical transformations such as those arising in power networks [29]
Summary
The new power grids are a major step forward for today’s society, as they allow better energy management and integration with new renewable sources such as solar, wind, etc. [1]. The concept of nonactive, reactive or distorted power acquires a meaning that is more in line with its mathematical significance, allowing a better understanding of the energy balances and verification of the principle of energy conservation It is presented as a natural language to describe the deeper symmetry that underlies mathematical transformations such as those arising in power networks [29]. This approach allows the designing of simpler and more efficient compensators than those proposed by Czarnecki [31,32].
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