Table 1 Switching table.

From: An advanced direct torque control for doubly fed induction motor using evolutionary computational techniques

\(H_{\psi _{s}}\) or \(H_{\psi _{r}}\)

\(H_{Tem}\)

Sector \(S_{i}\)

\(S_{1}(S_{a }S_{b} S_{c})\)

\(S_{2}(S_{a }S_{b} S_{c})\)

\(S_{3}(S_{a }S_{b} S_{c})\)

\(S_{4}(S_{a }S_{b} S_{c})\)

\(S_{5}(S_{a }S_{b} S_{c})\)

\(S_{6}(S_{a }S_{b} S_{c})\)

1

1

\(v_{2}\)(110)

\(v_{3}\)(010)

\(v_{4}\)(011)

\(v_{5}\)(001)

\(v_{6}\)(101)

\(v_{1}\)(100)

0

\(v_{7}\)(111)

\(v_{0}\)(000)

\(v_{7}\)(111)

\(v_{0}\)(000)

\(v_{7}\)(111)

\(v_{0}\)(000)

− 1

\(v_{6}\)(101)

\(v_{1}\)(100)

\(v_{2}\)(110)

\(v_{3}\)(010)

\(v_{4}\)(011)

\(v_{5}\)(001)

0

1

\(v_{3}\)(010)

\(v_{4}\)(011)

\(v_{5}\)(001)

\(v_{6}\)(101)

\(v_{1}\)(100)

\(v_{2}\)(110)

0

\(v_{0}\)(000)

\(v_{7}\)(111)

\(v_{0}\)(000)

\(v_{7}\)(111)

\(v_{0}\)(000)

\(v_{7}\)(111)

− 1

\(v_{5}\)(001)

\(v_{6}\)(101)

\(v_{1}\)(100)

\(v_{2}\)(110)

\(v_{3}\)(010)

\(v_{4}\)(011)