论文标题
几何代数力学理论（GAPOT）：在非sin肌条件下重新审视明显的功率
Geometric Algebra Power Theory (GAPoT): Revisiting Apparent Power under Non-Sinusoidal Conditions
论文作者
论文摘要
传统的权力理论和他们最重要的概念之一 - 相当大的权力 - 仍然是辩论的根源，如文献所示，它们呈现出几个缺陷，这些缺陷误解了在扭曲的网格条件下的权力转移现象。近年来，已经应用了高级数学工具，例如几何代数（GA）来解决这些问题。但是，将GA应用于电路需要更多的共识，改进和精致。在本文中，重新审视了基于GA的权力理论。标识了先前作品的几个缺点和不一致，并对所谓的几何代数力量理论（GAPOT）进行了修改。该理论考虑了频域中电流和电压谐波之间交叉产生产生的功率成分。与基于GA的其他理论相比，它与传统的表观功率定义兼容，该定义计算为RMS电压和电流的乘积。同样，数学发展是在满足能量保护原理的多维欧几里得空间中进行的。本文包括一个基本示例和实验结果，其中分析了实用程序供应的测量。最后，绘制了扩展到三相系统的建议。
Traditional power theories and one of their most important concepts --apparent power-- are still a source of debate and, as shown in the literature, they present several flaws that misinterpret the power-transfer phenomena under distorted grid conditions. In recent years, advanced mathematical tools such as geometric algebra (GA) have been applied to address these issues. However, the application of GA to electrical circuits requires more consensus, improvements and refinement. In this paper, power theories based on GA are revisited. Several drawbacks and inconsistencies of previous works are identified and modifications to the so-called geometric algebra power theory (GAPoT) are presented. This theory takes into account power components generated by cross-products between current and voltage harmonics in the frequency domain. Compared to other theories based on GA, it is compatible with the traditional definition of apparent power calculated as the product of RMS voltage and current. Also, mathematical developments are done in a multi-dimensional Euclidean space where the energy conservation principle is satisfied. The paper includes a basic example and experimental results in which measurements from a utility supply are analysed. Finally, suggestions for the extension to three-phase systems are drawn.
