论文标题
使用几何代数计算多相电信号的差异特性的几何过程
A Geometric Procedure for Computing Differential Characteristics of Multi-phase Electrical Signals using Geometric Algebra
论文作者
论文摘要
本文通过使用几何代数和差异几何形状，对具有任意阶段的电气系统中广义几何频率的概念进行了探索性研究。通过使用darboux bivector的概念，可以找到一个编码名为电气曲线的空间曲线的不变几何特性的双向物种。它展示了如何将功率网络中瞬时频率的传统概念与Darboux Bivector紧密相关。几个示例用于说明这项工作的发现。
This paper presents exploratory investigations on the concept of generalized geometrical frequency in electrical systems with an arbitrary number of phases by using Geometric Algebra and Differential Geometry. By using the concept of Darboux bivector it is possible to find a bivector that encodes the invariant geometrical properties of a spatial curve named electrical curve. It is shown how the traditional concept of instantaneous frequency in power networks can be intimately linked to the Darboux bivector. Several examples are used to illustrate the findings of this work.
