Frequency domain analysis of tesla transformer as a coupled second order system

2011 ◽  
Vol 36 (3) ◽  
pp. 207-215
Author(s):  
Sırrı Sunay Gürleyük ◽  
Ertan Öztürk ◽  
Halit Taşkın
Author(s):  
C. Le Cunff ◽  
Sam Ryu ◽  
Jean-Michel Heurtier ◽  
Arun S. Duggal

Frequency-domain analysis can be used to evaluate the motions of the FPSO with its mooring and riser. The main assumption of the frequency-domain analysis is that the coupling is essentially linear. Calculations are performed taking into account first order wave loads on the floating structure. Added mass and radiation damping terms are frequency dependent, and can be easily considered in this formulation. The major non-linearity comes from the drag force both on lines and the floating structure. Linearization of the non-linear drag force acting on the lines is applied. The calculations can be extended to derive the low frequency motion of the floating structure. Second order low frequency quadratic transfer function is computed with a diffraction/radiation method. Given a wave spectrum, the second order force spectrum can then be derived. At the same time frequency-domain analysis is used to derive the low frequency motion and wave frequency motion of the floating system. As an example case, an FPSO is employed. Comparison is performed with time domain simulation to show the robustness of the frequency-domain analysis. Some calculations are also performed with either low frequency terms only or wave frequency terms only in order to check the effect of modeling low and wave frequency terms, separately. In the case study it is found that the low frequency motion is reduced by the wave frequency motion while the wave frequency motion is not affected by the low frequency motion.


2011 ◽  
Vol 55-57 ◽  
pp. 224-228
Author(s):  
Gao Fei Guo ◽  
Shun Xiang Wu ◽  
Da Cao

This paper analyses the transient response of second-order system through time domain analysis, root locus and frequency domain analysis, meanwhile, studies the influence exerted to the system by the second-order system damping ratio and the coefficient ratio as well as the research and damping ratio associated with the relevant parameters, like delay time, rise time, peak time, overshoot, time regulation, basing on the unit step response, and the stability of the system is studied by root locus. Finally, graphics are built through the application of Matlab in order to have an intuitive understanding of the impact on the performance of the system.


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