Adaptive Voltage Control in Power Systems: Modelling, Design by Giuseppe Fusco

By Giuseppe Fusco

Adaptive Voltage keep an eye on in strength platforms, a self-contained mixture of idea and novel program, bargains in-depth remedy of such adaptive keep watch over schemes. assurance strikes from power-system-modelling difficulties via illustrations of the most adaptive keep an eye on platforms, together with self-tuning, model-reference and nonlinearities reimbursement to an in depth description of layout tools: Kalman filtering, parameter-identification algorithms and discrete-time controller layout are all represented. Case reviews deal with purposes concerns within the implementation of adaptive voltage keep an eye on.

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9) The updating law of the covariance matrix is given by 1 Inp − m(tc,k ) φT (tc,k ) P(tc,k−1 ) λ is the np -dimensional identity matrix. 10) all elements of matrix P are scaled by the same amount. If one wishes to target the effect upon selected parameters it is possible to scale only the diagonal of P. Furthermore, it is useful to point out that in order to get smooth parameters estimation a minimum forgetting factor λmin has to be specified. If one wishes to keep the estimator more sensitive to the power system changes at the steady-state operating point a maximum forgetting factor λmax can be used, that is 0 < λmin ≤ λ ≤ λmax ≤ 1 However the use of a forgetting factor can cause the phenomenon known as estimator wind-up.

5) yields ˆ (tf,k−1 ) + kk hT ˆ (tf,k−1 ) + kk . 2 Kalman Filtering 31 D c1 (tf,k ) F B . 1(tf,k) hk ω tf,k h0 O A G Fig. 1. Graphical representation of the state-space model Rk = E ˆ (tf,k−1 ) − kk . (tf,k ) I2nh − kk hT x(tf,k ) − x k T ˆ (tf,k−1 ) − kk . 8) where I2nh is the 2nh -dimensional identity matrix. 9) Rk hk + Q. 12) where Fk ≡ I2nh − kk hT k. 3 Convergence and Stability Properties First of all, it is necessary to derive the conditions that guarantee stable asymptotic behavior of error covariance matrix Rk , that is an upper-bounded sequence of Rk .

The major points in favor of the pole-assignment technique are that it provides a robust regulator against modeling errors and can cope with nonminimum phase systems [2, 12]. 2 Indirect Self-tuning Voltage Regulator Design 43 The first step in pole-assignment design is to decide the location of closedloop poles. On this point, it is always useful to keep in mind that the control effort required is related to how far the open-loop poles are moved by the feedback. Large control effort is required if the feedback moves a pole near a zero.

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