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84                                  Hybrid-Renewable Energy Systems in Microgrids

         1.1  Switching sequences

         Switching the sequences in this converter is easier than its counter parts. According to
         its inherent advantages, it does not need to generate negative pulses for negative cycle
         control. So there is no need for extra conditions and driver circuits for controlling
         the negative voltage. Instead, the reversing full bridge converter performs this task,
         and the required level is produced by the high switching frequency component of the
         inverter. Then this level is transferred to negative or positive polarity according to the
         output voltage requirements.
           This topology is redundant and flexible in the switching sequence. Different
         switching modes in generating the required levels for a seven level RV inverter are
         depicted in Table 5.1.
           In Table 5.1 the numbers refer to the switches according to Fig. 5.1 which should
         be turned on to generate the required voltage level. According to the table, there are
         four possible switching patterns to control the inverter. It shows the great redundancy
         of the topology.
           In order to avoid unwanted voltage levels during switching cycles, the switching
         modes should be selected so that the switching transitions become minimal during the
         transfer between levels. This will also help to decrease switching power dissipation.
         Therefore, the sequences of switches (2-3-4), (2-3-5), (2-6-5) and (1, 5) are chosen for
         levels 0 up to 3, respectively. These sequences are shown in Fig. 5.3. As can be ob-
         served from Fig. 5.3, the output voltage levels are generated in this part by appropriate
         switching sequences. The ultimate output voltage level is the sum of voltage sources,
         which are included in the current path that is marked in bold.
           In order to produce seven levels by SPWM, three saw-tooth waveforms for carrier
         and a sinusoidal reference signal for modulator are required as shown in Fig. 5.4.
           In this work PD (Phase Disposition) SPWM is adopted for its simplicity [3]. Car-
         riers in this method do not have any coincidence, and they have definite offset from
         each other. They are also in phase with each other. The modulator and three carriers
         for SPWM are depicted in Fig. 5.4.
           According to  Fig.  5.4, three states are considered.  The first state is when the
         modulator signal is within the lowest carrier. The second state is when it is within
         the middle carrier. Finally, the third one is when it is within the highest carrier. In
         each state certain switching cases are adopted to cover the voltage requirements. Ac-
         cording to this definition, the switching states and switching modes are described in
         Table 5.2.




          Table 5.1  Switching Sequences for Each Level

                 Level
          Mode               0            1            2             3
          1                 2–4          2,3,5         1,4          1,5
          2                              2,4,6         2,6,5
   95   96   97   98   99   100   101   102   103   104   105