tailieunhanh - Magnetic Bearings Theory and Applications Part 2

Tham khảo tài liệu 'magnetic bearings theory and applications part 2', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Design and implementation of conventional and advanced controllers for magnetic bearing system stabilization 5 On the basis of the reduced order model described by equation 2 a conventional lead compensator was designed by using root locus method Shi Revell 2002 . Although the lead compensator has been designed to stabilize the MBC500 magnetic bearing system its frequency response has a magnitude which remains large in the high frequency region. This will affect the stability robustness of the closed-loop system. Thus an additional high frequency pole at 7000 Hz or 43982 rad s was incorporated to reduce the gain at high frequency. As a result the final controller employed in Shi Revell 2002 was a second order controller lead with low pass filter with cut off frequency of 7000 Hz and the transfer function of the controller is as follows r s 43982 Clead s _ s 3202 s 43982 3 Figure 4 illustrates the root locus of the magnetic bearing system represented by the reduced order model shown in equation 2 with the designed lead compensator shown in equation 3 . The closed-loop poles are at and -167 392j respectively. Figure 5 shows the Bode plot of the closed-loop system with and without the added low pass filter. It can be seen from the Bode plot that the added low pass filter improves the system robustness by reducing system sensitivity to uncertain high frequency dynamics. Fig. 4. Root locus of the magnetic bearing system a reduced 2nd-order model is used here with the designed lead compensator 6 Magnetic Bearings Theory and Applications Fig. 5. Bode plot of the magnetic bearing system a reduced 2nd-order model is used here with the designed lead compensator 5. Controller Design via Interpolation Approach Controller Design via Interpolation Approach A single-loop unity-feedback control system shown in Figure 3 is considered in the controller design via the interpolation approach described in Dorato 1999 . It was shown in Dorato 1999 .

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