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158                                 Modern Control of DC-Based Power Systems


                                              21 0
                                                2 3

                                       AB         1
                                 L ext 5        4 5                  (5.131)
                                        c  0
                                                 c k
             The set-point adaptation term is added to the nominal state and added
          to the nominal set-point values to form the control variables of the two
          degree of freedom structure. The final control structure is depicted in
          Fig. 5.30.



          5.4.3 Application to Centralized Controlled MVDC System
          (LQG 1 Virtual Disturbance)
          The control approach highlighted in Sections 5.4 5.4.2 can also be
          extended to the centralized system that was depicted in Fig. 5.2 and was
          used as the basis for the LSF control of Section 5.1. The design is still
          based on the 2DOF structure [49]. The simplification which takes place
          here is that due to the centralized control architecture all currents are
          now available, but they are still being estimated. The difference from the
          LSF control is that a linear control is employed and this control assumes
          that it is always in the operating point. Therefore, the Kalman filter is still
          necessary for adjusting the assumed linear operating point to the actual
          operating point which is defined by the nonlinear CPL. An augmentation
          is not necessary (Fig. 5.31).




                   +
             U nom                       u d
                    +                   +
                  +      +           +    u
             X nom              –K lqr                       I d
                  +       –          u lqr
                              LQR controller
             Trajectory  L                              u               y
             Generator  ext                                  Plant
              with           Kalman
             Setpoint         Filter   B
             Adaption                   lqr
                                   +
                                ∫       K kf
                   Î d                +
                                    +        –  +
                                A kf

                                     C kf

          Figure 5.30 Final structure of the observer-based controller.
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