4. dynamic analysis

8/3/2019 4. Dynamic Analysis

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DESIGN AND CONTROL

SERVO SYSTEM

Professor: Seng - Chi Chen

Name: Nguyen Van Sum

ID: D0003002


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Abstract

- This paper presents a rigorous dynamic analysis for the

Maglev system with controlled- PM electromagnets and

robust zero- power-control strategy.- Author: Yeou-Kuang Tzeng and Tsih C. Wang

- A variable structure control (VSC) theory using new reaching

law method is applied to the robust controller synthesis forreducing the control- voltage chattering and enhancing the

suspension stability analytical expressions of the rms gap

variation.


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I. Introduction

- The controlled- PM electromagnet contains a PM and an

E-shaped electromagnet, as shown in Fig.1

- The PM is used to provide lift force for balancing overallvehicle weight, while the E-shaped electromagnet for

maintaining suspension stability.

- Advantages of this hybrid excited magnet mainly lie in itshigher lift- to- weight ratio and lower power consumption

as compared to the conventional electromagnet.


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I. Introduction

The first is to evaluate the effect of the zero-power control

method on the high-speed vehicle ride dynamics.

Second, the regulated power loss due to the excitation of

random guideway irregularity need to be investigated for

confirming the power saving feature even with high speed

cruise.

Third the control- voltage chattering of the conventional VSC

method used in should be reduced to achieve more power

saving


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II MODELING OF THE VEHICLE RIDE DYNAMICS

Shown Fig.1, is simplify the analysis of a real Maglev vehicle

dynamics. The linearized dynamic equations describing the

motions of the cabin, the bogy, and the suspension module

(SM) around their equilibrium points are given by

Bogy:

Cabin:


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Suspension Module (SM):

where

MC, MB, and MM denote the masses of cabin, bogy and SM,

respectively

Ki and Bi are the spring constant and the damping constant of

the mechanical suspension

F: is the magnetic lift force, g the gap clearance,

i: the coil current and f the external a load


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The linearized voltage equation of the control coil is

where

E and are the control voltage and the magnetic flux.

R, N, and L are the resistance, the number of turns,and the inductance of the coil respectively


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III. DESIGN OF THE ROBUST ZERO- POWER CONTROLLER

- The reaching-law-bad VSC method, is employed

here for reducing the chattering of the conventional

VSC (variable structure control) method.

- Dynamic force through the primary suspension is

treated as the unknown external disturbance f.- The state equation for the design of the zero-power

controller is therefore reformulated as follows


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Where

(5)


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(6)

(7)

(8)


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(9)

(10)


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IV. FREQUENCY DOMAIN ANALYSIS OF ZERO- POWER-

CONTROLLED SUSPENSION DYNAMICS

The possibility of contact and the average regulation power lossunder the excitation of the random guideway irregularity are twoImportant performance indices for evaluating the magneticsuspension dynamics.

(11)

(12)


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IV. FREQUENCY DOMAIN ANALYSIS OF ZERO- POWER-

CONTROLLED SUSPENSION DYNAMICS

(14)

The possibility of contract Pcontact and average regulation power

loss Plave can be obtained using.

(15)

The above results are important to both the assessment of

suspension dynamics the determination the controller

parameters


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V. EVALUATION OF VEHICLE RIDE DYNAMICS

- Table 1 lists the details of the system.

- With the guideway modeled by the power spectral

density method,

- Fig. 2 show the power spectral density of the cabin

acceleration with ride quality at speed of 400 km/hr


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Fig 2 The power spectral densities of cabin vertical acceleration

and ride quality standard at the speed of 400km/hr


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Fig 3 illustrates the ratio of nominal operating gap to rms

gap variation and the average regulation power loss.


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Fig 4 shows the

time domain

responses of the

vehicle at the

speed of 400

km/hr with the

guideway modeled

by discrete

frequency method


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VI. CONCLUSIONS

- This paper presented the dynamic analysis of the Maglev

system with controlled PM electromagnets and robust zero-

power control strategy. The controller synthesis using reaching-

law- based VSC method was effective in providing robust ness

without sever chattering.

- Numerical results gained from the power- spectrum

integration and the time- domain simulation both indicate that,

even with full load and high- speed operation (400 km/hr), the

possibility of contact is nearly zero and the average regulation

power is less than 320W/ton.


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THANKS YOU FOR YOUR LISTENING !

4. dynamic analysis

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