**Nomenclature**


## **Appendix A**

Transforming Equation (21) to stationary reference frame (αβ) by using Clarke's Transformation (*Tabc*⇒αβ*o*), we ge<sup>t</sup>

$$
\begin{bmatrix} \upsilon\_{s,\mathfrak{a}} \\ \upsilon\_{s,\mathfrak{g}} \end{bmatrix} = \frac{L}{2} \begin{bmatrix} \frac{d\iota\_{o,\mathfrak{a}}}{dt} \\ \frac{d\iota\_{o,\mathfrak{g}}}{dt} \end{bmatrix} + \frac{R}{2} \begin{bmatrix} \iota\_{o,\mathfrak{a}} \\ \iota\_{o,\mathfrak{g}} \end{bmatrix} + \begin{bmatrix} \upsilon\_{\mathfrak{a}} \\ \upsilon\_{\mathfrak{g}} \end{bmatrix}.\tag{A1}
$$

Equation (A1) is solved for value *v*<sup>∗</sup>*<sup>s</sup>*,αβ given as

$$\upsilon\_{s,\alpha\emptyset}^{\*} = \underbrace{\upsilon\_{\alpha\emptyset} + \frac{1}{2} R i\_{o,\alpha\emptyset}^{\*}}\_{\upsilon\_{s,\alpha\emptyset}^{\*}} - \underbrace{\frac{L}{2} \frac{d S\_{s,\alpha\emptyset}}{dt}}\_{\upsilon\_{s,\alpha\emptyset}^{\text{att}}}.\tag{A2}$$

The switching function *Ss*,αβ used in control law is given as

$$\sigma\_{s,a\emptyset}^{\rm att} = -\frac{\mathcal{L}}{2} \frac{dS\_{s,a\emptyset}}{dt} = \frac{\mathcal{L}}{2} (\mathcal{Q}\_{a\emptyset} \text{sg} \{ \mathcal{S}\_{s,a\emptyset} \} + K\_{a\emptyset} \mathcal{S}\_{s,a\emptyset}).\tag{A3}$$

*Q*αβ, and *<sup>K</sup>*αβ are positive and real numbers. The ful control law is given as

$$\begin{bmatrix} \upsilon\_s^\* \\ \upsilon\_{qs}^\* \\ \upsilon\_{s,\alpha\beta}^\* = \upsilon\_{s,\alpha\beta}^\* \end{bmatrix} = \begin{bmatrix} \upsilon\_{qs}^e \\ \upsilon\_{qs}^e \\ \upsilon\_{qs}^{\rm att} \end{bmatrix} + \begin{bmatrix} \upsilon\_{s\theta t}^{\rm att} \\ \upsilon\_{q\varphi}^{\rm att} \\ \upsilon\_{s,\alpha\beta}^{\rm att} \end{bmatrix} \tag{A4}$$

while

$$
\boldsymbol{\upsilon}\_{s,\alpha\emptyset}^{\*} = \boldsymbol{\upsilon}\_{\alpha\emptyset} + \frac{1}{2} \boldsymbol{R}\_{o,\alpha\emptyset}^{\*} + \frac{1}{2} \{\mathsf{Q}\_{\alpha\emptyset} \mathsf{s} n\{\mathsf{S}\_{s,\alpha\emptyset}\} + \mathsf{K}\_{\mathsf{a}} \mathsf{S}\_{s,\alpha\emptyset}\}.\tag{A5}
$$

## **Appendix B**


**Table A1.** Converter Speciation.
