电气转换和广义 abc 到 αβ0 和 dq0 转换的直观理解,International Journal of Circuit Theory and Applications

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电气转换和广义 abc 到 αβ0 和 dq0 转换的直观理解
International Journal of Circuit Theory and Applications ( IF 1.8 ) Pub Date : 2022-09-14 , DOI: 10.1002/cta.3439
Rohan Madnani ₁ , Mahesh K. Mishra ₁

Affiliation

电气工程中的各种控制应用发现三相量转换理论的实用性

A b C

到

α β 0

和

d q 0

参考帧。这些变换对于简化控制方程及其实施至关重要。然而，对于不同的应用，不同的方向的

A b C

α β

-，和

d q

- 使用轴。这导致每个这样的方向都有不同的变换矩阵。在这篇论文中，一个广义的

A b C

到

α β 0

和

d q 0

提出了变换矩阵，它可以用于任何可能的方向，从而实现变换矩阵的更快推导。这是通过定义两个参数来实现的

升

和

米

其值是通过观察轴的方向获得的。因此，无需经过求解步骤即可获得变换方程

A b C

数量到他们的组件沿

α β

- 或者

d q

-轴。此外，本文还讨论了转换后的电量的视觉理解。结果表明，瞬时正负对称分量的实部与虚部的复图具有表现出电量特定特征的形状，并可以直接了解系统中的不平衡和谐波的存在。

"点击查看英文标题和摘要"

A visual understanding of electrical transformations and generalized abc to αβ0 and dq0 transformation

Varied control applications in electrical engineering find the utility of the theory of transformation of three-phase quantities from

a b c

α β 0

and

d q 0

reference frames. These transformations are vital in simplifying the control equations and their implementation. However, for different applications, different orientations of the

a b c

α β

-, and

d q

-axes are used. This results in a different transformation matrix for each such orientation. In this paper, a generalized

a b c

α β 0

and

d q 0

transformation matrix is proposed which can be utilized for any possible orientation and thus effectuates faster derivation of the transformation matrix. This is achieved by defining two parameters

l

and

m

whose values are obtained by observing the orientation of the axes. The transformation equation can therefore be obtained without having to undergo the steps of resolving

a b c

quantities into their components along the

α β

- or

d q

-axes. Furthermore, this paper discusses the visual understanding of transformed electrical quantities. It is shown that the complex plots of real versus imaginary parts of instantaneous positive and negative symmetrical components have shapes which exhibit specific characteristics of electrical quantities and give a direct understanding about unbalance and presence of harmonics in the system.

更新日期：2022-09-14

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