By Giuseppe Fusco
Adaptive Voltage keep watch over in energy platforms, a self-contained mixture of idea and novel program, deals 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 experiences tackle purposes matters within the implementation of adaptive voltage keep watch over.
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Extra resources for Adaptive Voltage Control in Power Systems: Modelling, Design and Applications (Advances in Industrial Control)
5, a current control loop is added to attain the required current. In both converter types, various commutation techniques can be used, the most common being pulse width modulation (PWM) and hysteresis-based switching techniques. Fig. 5. ASF topology with a VSI For voltage harmonic control at a busbar of an electrical system, both CSI and VSI provided with a current control loop can be modeled as ideal harmonic current generators. In fact, the bandwidth frequency of such devices is signiﬁcantly higher than the frequencies considered in harmonic voltage control design.
32), and solving with respect to v1 (tc,k ) yields the closed-loop equation v1 (tc,k ) = z −d B(z −1 ) R(z −1 ) r(tc,k ) A(z −1 ) Ad (z −1 ) Q(z −1 ) + B(z −1 ) P (z −1 ) + A(z −1 ) F (z −1 ) v0,1 (tc,k ) A(z −1 ) Ad (z −1 ) Q(z −1 ) + B(z −1 ) P (z −1 ) + F (z −1 ) ν(tc,k ) A(z −1 ) Ad (z −1 ) Q(z −1 ) + B(z −1 ) P (z −1 ) The regulator is then able to regulate v1 (tc,k ) at the set-point in the presence of the unknown no-load voltage v0,1 (tc,k ). 34) consequently one has h0 = r0 . 6. D δ(tc,k ) A(z −1 ) Ad (z −1 ) r(tc,k ) h0 + − Fv−1 (z −1 ) uv (tc,k ) −1 A−1 d (z ) z −d B(z −1 ) + A−1 (z −1 ) v1 (tc,k ) ν(tc,k ) G(z −1 ) Fig.
34 3 Voltage and Current Phasor Identiﬁcation Proof. 12): hT k Rk hk = Q. T hk Rk hk + Q. 15) which shows that the “projection” hT k Rk hk of the estimated error covariance matrix Rk along the observable direction hk is strictly smaller than the “projection” hT k Rk hk of the prediction error covariance matrix. 4), due to the assumed property on the diagonal covariance matrix Qw , it can be easily proved that Qw = AT Qw A and consequently, nh T hT k Qw hk = hk−1 Qw hk−1 = qw,2i . 17) one directly derives that hT k Rk hk and T T Tˆ hk Rk hk reach constant asymptotic values hk Rk,∞ hk and hk Rk,∞ hk , independently of the initial vector h0 , that is independently of the assumed rotating reference frame of coordinates.