论文标题
使用几何代数的正弦和非鼻腔供应下的单相系统的新方法
A new approach to single-phase systems under sinusoidal and non-sinusoidal supply using geometric algebra
论文作者
论文摘要
这项工作的目的是基于频域中单相电路的几何代数，对现有功率理论进行重大升级。它还针对传统上接受的权力理论体现了一种有趣的新方法，并在正弦和非螺体系统中重新审视了具有线性和非线性负载的能力概念，以适当地识别其组件以实现对真实非活性电流的被动补偿。此外，它概述了基于明显的权力$ s $的传统权力理论，并确认应该重新考虑这些理论。可以证明，基于Budeanu，Fryze和其他人的概念的传统建议无法确定电压和当前谐波之间的相互作用。根据Castro-Núñez等人的最初工作，以前不包括的新方面进行了详细，修改和重新制定。结果，现在可以分析非正弦电路，建立符合能量保护原理的功率平衡，并在线性和非线性载荷中使用被动和主动元素实现最佳补偿情景。
The aim of this work is to present major upgrades to existing power theories based on geometric algebra for single-phase circuits in the frequency domain. It also embodies an interesting new approach with respect to traditionally accepted power theories, revisiting power concepts in both sinusoidal and non-sinusoidal systems with linear and nonlinear loads for a proper identification of its components to achieve passive compensation of true non-active current. Moreover, it outlines traditional power theories based on the apparent power $S$ and confirms that these should definitively be reconsidered. It is evidenced that traditional proposals based on the concepts of Budeanu, Fryze and others fail to identify the interactions between voltage and current harmonics. Based on the initial work of Castro-Núñez and others, new aspects not previously included are detailed, modified and reformulated. As a result, it is now possible to analyze non sinusoidal electrical circuits, establishing power balances that comply with the principle of energy conservation, and achieving optimal compensation scenarios with both passive and active elements in linear and non-linear loads.
