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Small-Signal Analysis of Cascaded Systems                     77
































              Figure 2.53 Bode plot of the identified output impedance of the source converter
              compared to the analytic transfer function with the Wideband System Identification
              technique.



                   2.7 SUMMARY
                   In this chapter a dynamic modeling of power converters in a cas-
              caded arrangement based on small-signal properties was presented; this
              helps drawing conclusions for DC distribution systems. The terminal
              characteristics of tightly controlled power converters are an important fac-
              tor for stability analysis and controller design. They were modeled taking
              into account the conventional averaging approach for DC DC conver-
              ters, which requires negligible current ripple and takes basically the DC
              term of the Fourier series [11].
                 Furthermore, the authors in [15] investigated the terminal characteris-
              tics such as the impedance for different converters looking at two aspects.
              The first aspect is that the control loop (VMC or PCMC) changes the
              input and output impedances of the converters, therefore the closed-loop
              impedances should be used. The second aspect is that the loading effect
              of the load is overlooked as it alters the dynamics of the upstream con-
              verter. The influences of different load models were presented.
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