*2.4. Switching Pulses Generation Using Nearest Vector Modulation*

The goal of the modulation strategy is to produce the appropriate switching pulses by determining the MLI's switching states. The operating block diagram of the nearest vector modulation (NVM) technique is shown in Figure 3. The space vector illustration of the operation of the projected MLI in stationary *α*−*β* location frame is obtained as follows:

$$Va = \frac{5Vdc}{\Im(N-1)} \times (2Sa - Sb - Sc) \tag{17}$$

$$V\beta = \frac{\mathbf{5Vdc}}{\sqrt{3}(N-1)} \times (\mathbf{Sc} - \mathbf{Sb}) \tag{18}$$

$$V = V\mathfrak{a} - jV\mathfrak{b}.\tag{19}$$

**Figure 3.** Operating principle of the NVM technique.

Four different space vector diagrams representing the function of the three-phase MLI with four valid switching sequences are shown in Figure 4.

**Figure 4.** Space vector diagrams for the proposed MLI at: (**a**) *Ma* = 1.3, (**b**) *Ma* = 1.15, (**c**) *Ma* = 0.98 and (**d**) *Ma* = 0.8.
