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108                                 Modern Control of DC-Based Power Systems


                                    I

                       L f1    L fn        I lin  I C
                       I 1     I n                       I CPL  = P/V
                                      V
                       R f1    R fn         R lin  C eq
                     d ·E 1  d ·E n
                              n
                      1
          Figure 4.4 Simplified model including a linear and a nonlinear load.

             According to [8 11] the series cable parameters are usually neglected
          in shipboard power systems, which results in the CPLs being connected
          in parallel to the bus. Since all capacitors and CPLs are in parallel now it
          is therefore possible to sum them up into an equivalent capacitor, e.g.,
          equivalent constant power load.
             For the sake of generality, the network is extended by a linear load,
          which results in the model depicted in Fig. 4.4. In this way, different
          kinds of loads schemes can be simulated where the resistance represents
          the linear part and the current source the nonlinear part. The linear load
          serves also as a base load to drive the generators in continuous conduction
          mode before connecting the CPLs.
             This simplified model can now be now be described by the following
          equations.
                        dV     1                 V        P eq
                           5      I 1 1 I 2 1 I 3 Þ 2  2
                         dt   C eq  ð          R lin C eq  C eq V
                                                                       (4.2)
                         dI k    R fk   V     d k E k
                            52      I k 2  1      fork 5 1; 2; 3
                         dt      L fk   L fk  L fk
             In the next section the first generation side control technique is
          presented.


          REFERENCES
          [1] I. Batarseh, K. Siri, H. Lee, Investigation of the output droop characteristics of
             parallel-connected DC-DC converters, in 25th Annual IEEE Power Electronics
             Specialists Conference, PESC ‘94 Record, June 20 25, 1994, vol. 2, pp. 1342,
             1351.
          [2] V. Arcidiacono, A. Monti, G. Sulligoi, Generation control system for improving
             design and stability of medium-voltage DC power systems on ships, IET Electr. Syst.
             Transport. 2 (3) (2012) 158 167.
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