Abstract
In the field of building constructions, there is undeniably a growing need to optimize the energy systems which are a key target in new modern constructions and industrial buildings. In this sense, energy systems are being traced for the development of energy distribution networks that are increasingly smart, efficient, and sustainable. Modern generation and distribution energy systems, such as microgrids control systems, are being affected by the presence of linear and nonlinear loads, resulting a distorted voltage and current waveforms. Thus, it is stated that industrial and residential building heating and cooling loads behave essentially like sources of harmonics. This paper presents a new framework based on geometric algebra (GA) to the definition of a multivectorial distortion power concept, which is represented by a bivector that is geometrically interpreted to distinguish the rotated distortion and distortion power bivectors in these kinds of loads. Both bivectors, and their relations to the phase angles of distorted voltage are the main subject of this paper to interpret an optimal control of building energy. Numerical examples are used to illustrate of the suggested distortion power concept, as well as the information it provides for energy control in new buildings in a more sustainable way.
Highlights
Nowadays, the electric power system has become one of the fundamental installations in construction
Reference [5] proposed the harmonic compensation method on a residential distribution system and in [6], an advanced model is used to retrieve data from publications related to energy quality
In order to represent the concept of power multivector in geometric algebra algebra (GCGA), we introduce a new rule for multiplying geometric-phasors
Summary
The electric power system has become one of the fundamental installations in construction. The result of using such a high number of non-linear loads in buildings is that the current waveform is distorted, causing excessive harmonic voltages to be generated This situation feeds back and causes a progressive degradation to the power quality of the supply [7]. Numerous valuable works have appeared as mentioned above, but not all of them consider the multivectorial character of apparent power components In this context, in reference [27] the authors use geometric algebra to define a multivector power based on decomposition of the instantaneous current into the active and reactive components.
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