A Powerful Tool for Optimal Control of Energy Systems in Sustainable Buildings: Distortion Power Bivector

Castilla Manuel V. and Martin Francisco
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Castilla Manuel V.: Higher Polytechnic School, University of Seville, 41011 Sevilla, Spain
Martin Francisco: Higher School of Industrial Engineering, University of Malaga, 29071 Málaga, Spain

Energies, 2021, vol. 14, issue 8, 1-17

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.

Keywords: energy systems; building energy consumption; harmonics; geometric algebra; efficient constructions; heating and cooling loads (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
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