On the basis of the above results of detecting methods, the instruction signal calculating circuit is designed according to i〓, i〓 calculating mode. Compensation current generating circuit is also designed and implemented. Its current following circuit is designed according to the instantaneous value comparing mode that used constant time control. The source current detection based control mode and composite control mode and their implementation are firstly introduced in our country. The method and the principle of dc side capacitor voltage control are explained clearly.

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In this topic, the dynamic analysis methods for piezoelectric vibrator are studied systematically based on the theoretical model, FEM numerical experimentation and FEM governing equation for given compound-mode vibrator, and some valuable conclusions are obtained. The main work accomplished is summarized as follows: 1.Elaborate the main modeling methods for piezoelectric vibrator and the significance and necessity to study the dynamic characteristics of piezoelectric vibrator which emphasize the urgency of this paper. 2.Take the bending deformation induced by piezoelectric ceramic as example, the energy transfer mechanism of electric energy to mechanical energy are analyzed; the motion and force transfer mechanism are analyzed for the longitudinal-bending vibrator. 3.Based on mode assumption and Hamilton principle, the coupling model of piezoelectric vibrator of linear USM is built; moreover, the equivalent circuit model is obtained and a coupling equation represents the relation between electric parameters and mechanical parameters is derived which provides foundation to match the vibrator and driving circuit. 4.Combine the constitutive equation of piezoelectric ceramic with elastic-dynamical equation, geometric equation in force field and the Maxwell equation in electric field and the corresponding boundary condition equation, the FEM control equation for piezoelectric vibrator of USM to solve dynamic electro-mechanical coupling field is established by employing the principle of virtual displacement. The equation lays the foundation to study the non-linear constitutive equation of piezoelectric ceramic driven by high-power. 5.Define the dynamic indexes of characteristic of vibrator and carry out variable parameters simulation by calculating the model parameters and the electric characteristics of vibrator are simulated according to the equivalent circuit model. By numerical experimentation, the working mode of vibration of vibrator and the shock excitation results of the working frequency band which provides the mode frequency to realize bimodal are analyzed. Detailed calculation of the electro-mechanical coupling field parameters is made by programming the FEM control equation.

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First, this paper gives an introduction of some methods of unequal probability sampling, their estimators and variance estimators, including sampling with pps with replacement, methods of sampling without replacement suggested by Brewer, Durbin, Sampford , Des Raj , Murthy , Rao-Hartley-Cochran. Then, at the basis of Rao and Bayless's study , we consider that population can be splited two random subpopulations, which are respectively drawn from different infinite super-populations, and compare the stabilities of estimators of the methods that given above.

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Chapter one of this text has recommended the foreign insurance to apply financial economy to the products pricing method of insurance company, but these methods have not explained how to determine the fair premium of the multiple-line insurance company .In order to solve many business line insurance company pricing problem, chapter two introduce an very important model in insurance company capital allocation field - MR capital allocation model, through deriving capital allocation formula and simulation analysis indicate MR model allocate multiple- line insurance company capital scientifically. In order to apply MR model to non-life insurance pricing, chapter three will extend MR model to introduce loss 3 and layer P . Since the premise of MR model is a certain market price of loss, the chapter four will use the risk-neutral probability transformation technique to get the market value of loss. Under lognormal distribution, we will use location parameter shift and proportional PH transformation to illuminate the technique. The final chapter combines the prior sections result to deduce out the fair premium formula, and apply it to price the catastrophe insurance.

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