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. 2022 Mar 11;22(6):2186. doi: 10.3390/s22062186

Table 1.

The form of pulses for individual ISC algorithms.

ZV	$[\begin{matrix} A_{i} \\ t_{i} \end{matrix}] = [\begin{matrix} \frac{1}{1 + K} & \frac{K}{1 + K} \\ 0 & \frac{1}{2 T_{d}} \end{matrix}], K = e^{(\frac{- ϑ π}{1 - ϑ^{2}})}$ [37]

ZVD	$[\begin{matrix} A_{i} \\ t_{i} \end{matrix}] = [\begin{matrix} \frac{1}{1 + 2 K + K^{2}} & \frac{2 K}{1 + 2 K + K^{2}} & \frac{K^{2}}{1 + 2 K + K^{2}} \\ 0 & 0.5 T & T \end{matrix}]$ [37]

ZVDD	$t_{1} = 0, t_{2} = \frac{π}{ω_{d}}, t_{3} = \frac{2 π}{ω_{d}}, t_{4} = \frac{3 π}{ω_{d}}$ [37] $A_{1} = \frac{1}{1 + 3 K + 3 K^{2} + K^{3}},$ [37] $A_{2} = \frac{3 K}{1 + 3 K + 3 K^{2} + K^{3}}, A_{3} = \frac{3 K^{2}}{1 + 3 K + 3 K^{2} + K^{3}}, A_{4} = \frac{K^{3}}{1 + 3 K + 3 K^{2} + K^{3}}$ [37]

ZVDDD	$[\begin{matrix} A_{i} \\ t_{i} \end{matrix}] = [\begin{matrix} \frac{1}{D} & \frac{4 K}{D} & \frac{6 K ²}{D} & \frac{4 K^{3}}{D} & \frac{K^{4}}{D} \\ 0 & \frac{τ_{d}}{2} & τ_{d} & \frac{3}{2} τ_{d} & 2 τ_{d} \end{matrix}]$ [27,28] $D = 1 + 4 K + 6 K ² + 4 K^{3} + K^{4}$

UMZV	$[\begin{matrix} 0 & t_{2} & t_{3} \\ A_{1} & A_{2} & A_{3} \end{matrix}] = [\begin{matrix} 0 & \frac{π}{3 ω_{n}} & \frac{2 π}{3 ω_{n}} \\ 1 & - 1 & 1 \end{matrix}]$ [29,30] $Ϛ = 0$

EI	$[\begin{matrix} 0 & t_{2} & t_{3} \\ A_{1} & A_{2} & A_{3} \end{matrix}] = [\begin{matrix} 0 & \frac{π}{3 ω_{n}} & \frac{2 π}{3 ω_{n}} \\ \frac{1 + V}{4} & \frac{1 - V}{2} & \frac{1 + V}{4} \end{matrix}]$ [30,31,32,33] $V = e^{- Ϛ ω t_{n}} \sqrt{A + B}$ [30,31,32,33] where: $A = (\sum_{i = 1}^{n} A_{i} e^{Ϛ ω t_{i}} c o s {(ω \sqrt{1 - Ϛ^{2} t_{i}})}^{2}$ [30,31,32,33] $B = (\sum_{i = 1}^{n} A_{i} e^{Ϛ ω t_{i}} s i n {(ω \sqrt{1 - Ϛ^{2} t_{i}})}^{2}$ [30,31,32,33]

SNA	$[\begin{matrix} 0 & t_{2} & t_{3} \\ A_{1} & A_{2} & A_{3} \end{matrix}] = [\begin{matrix} 0 & t_{2} & t_{3} \\ \frac{1 - b}{2} & b & \frac{1 - b}{2} \end{matrix}]$ [34,35] $t_{2} = \frac{1}{ω_{n}} c o s^{- 1} (\frac{- b}{1 - b})$ [34,35] $t_{3} = \frac{1}{ω_{n}} c o s^{- 1} (\frac{2 b^{2}}{{(1 - b)}^{2}} - 1)$ [34,35]

MIS	$M = K + \dots + K^{i - 1} + K^{n - 1}$ [29,32,36] $A_{i} = [\begin{matrix} \frac{1}{1 + M} & \frac{K}{1 + M} & \dots & \frac{K^{i - 1}}{1 + M} & \frac{K^{n - 1}}{1 + M} \\ 0 & \frac{T_{d}}{n} & \dots & \frac{(i - 1) T_{d}}{n} & \frac{(n - 1) T_{d}}{n} \end{matrix}]$ [29,32,36] $K = e^{- \frac{2 Ϛ π}{n \sqrt{1 - Ϛ^{2}}}}$ [9,32,36]