MATLAB_Урок5.pdf

8/11/2019 MATLAB_5.pdf

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-

, - - . -

- () .

, - [1].

1. -

- . : -

310 , -

1 , 50 -

0,95. 10 , 5 . - MOSFET-,

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. 1 , , -

, - 1.

Discrete PWM Generator (. 1). - (. 1),

- (: ) . Parametrs . Generator Mode (-

). :

1-arm bridge (2 pulses) (2 );

2-arm bridge (4 pulses)

(4 ); 3-arm bridge (6 pulses)

(6 );

Double 3-arm bridge (12 pulses)

(12 ); Carrier frequency (Hz) (); Sample time ; Internal generation jf modulating signal(s) -

() -

(). . Modulation index () -

( 0 1). Frequency of output voltage (Hz) -

(); Phase of output voltage (degrees)

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MATLAB

5.

,. . .,

[email protected]

, , : , - . Simulink SimPowerSystems ,

. , 14.

22 www.finestreet.ru

1

Sample Time (s) 1e5Powergui

SimPowerSystems

Lconnector L( )

SimPowerSystems\Connectors

Ground (output) ()SimPowerSystems\Connectors

Scope Simulink\Sinks

DC Voltage Source

DC

SimPowerSystems\

Electrical Sources

Voltage Measurement Um

SimPowerSystems\Measurements

Current Measurement InSimPowerSystems\Measurements

10 0,005 C = inf

Series RLC Branch RLC

ResistanceInductance

Capacitance

SimPowerSystems\ Elements

Number of bridge arms 2Port configuration ABC as output terminalsPower Electronic devices MOSFET/Diodes

Universal Bridge

Discrete PWM Generator

Simulink\Extra Library\Discrete Control Blocks

SimPowerSystems\Power Electronics

(. . 1)

Amplitude (V) 310

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Universal Bridge , , - (. 1). -

-, - . ,

-, Invert , Simulation/

Simulation parameters, Stop

time 0,1, Max step size auto.

ode15s.

-

Powergui Sample time (. 2).

RL- (. 3). , - -

0,02 (. 3) . ,

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L. - . 3. -

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50 (. 3). - , - ,

(. 3). -

-

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. Parametrs, , -

Scope

Parametrs. Data history . Limit

data points to last, Variable name () -, In. Format ()

Structurewith time ( ). - , -

-, Um. -

Powergui Sample time, 0,10,01

. - - = 0,001,

0,00001. Powergui - , - (. 1

). .

-

Powergui (. 2),

, 12006

23www.finestreet.ru

. 1. ()

Discrete PWM Generator ()

Universal Bridge ()

. 2. Powergui

. 3. (, ) (, )

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FFTAnalysis - Powergui: FFT

Tools (. 4). ( ): Structure []

, - In Um, -

- ;

Input ; Signal number ; Start time (s) [ ] -

, - ;

Number of cicles [ -

] -, ;

: Display FFT window -

; Display entire signal -

. :

Fundamental frequency (Hz)

(); Max Frequency (Hz) -

, ;

Frequency axis .

Hertz() Harmonic order( );

Display style . -

: Bar (relative Fund. or DC) (-

-

); List (relative Fund. or DC) (-

-

); Bar (relative to specified base)

( -

); List (relative to specified base)

( -

). Base value .

(. 4): - In 1; 0,01 (

); 4 (

5, ); FFT ; 50 ; 2500 ;

; - . Display - 4 - In (. 4). , -

50

29,17 . -

1%(0,3 ) .

2 . - , THD TotalHarmonic Distronsion, -

7%. . 4 - -

, , , THD - (- - 5 -

). Um (. 4) -

295 , -

2 - 65 (. 4). 1%.

- 43,7%.

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. 5 - , -

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t To Workspace (- Simulink, Sinks) Clock( Simulink, Sources)

(. 5). Clock - Decimation.

1. - To Workspace Variable name

I, U t ( - ), - Decimation ( 10), -

0,00001 - Save format ( ) Array.

-

Invert_W, , -

, 12006


. 4. Powergui: FFT Tools

In () Um ()

( )

. 5. ()

()

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. - ,

MATLAB View/Workspace. , -

(. 5). , - -

10011 I, U, t.

MATLAB

plot (t, I)

,

t I. -

. ( Enter) - , (. 3),

(. 6). - U -,

plot (t, U).

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( I) - . - File/New/M-file -

(

Untitled), - . (. 7) -

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10 . - - 10001, -

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MATLAB - () -

2n.

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(. 7)

fft ( - I ) abs -

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, MATLAB, , - help fft. - -

, - t(1:250), s(1:250) , -

. - File/Save As - , Furie,

. -

Debug/Save and Run

Debug/Run ( , ). . 7 -

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2 , . 4.

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. MATLAB -

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MATLAB, - .

n- -

, (1)

(1) -

, - ; x(t) - ; u(t) -

;y(t) (); A, B, C, D : A , -

nxn n, - ; B , - n, -

; C ( -, n); D -

( , ).

power2sys, -

- , - SimPowerSystem

Simulink.:

power2sys -

A, B, C, D , (1). -

Simulink - - -

MATLAB.

:

power2sys('sys', 'structure')

sys.

power2sys('sys', 'ss')

- A, B, C, D.

power2sys - SimPowerSystem . -

, ss statespace ( ). - -

LC- -, ,

. R (. 8).

- -

, 12006

25www.finestreet.ru

. 6. I

,

. 7. ()

()

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. -

-

power2sys LC-.

2. - LC- L1 = 15 ,

C1 = 2 R = 8 - LC- L1 = 15 ,C1 = 2 , L2 = 3 , C2 = 15 , R = 8

.

. 9 ( LC_1_Filter)

. 9 ( LC_2_Filter), 2.

LC_1_Filter -

. - (. 10). MATLAB

:

>> H1=power2sys('LC_1_Filter', 'ss')

, - , -

, - ( - ),

a =

U c_ C1 =2 e- 6 I l_ L1 =0 .0 15

Uc_C1=2e-6 -6.25e+004 5e+005

Il_L1=0.015 -1000 0

b =

U_Controlled

Uc_C1=2e-6 0

Il_L1=0.015 1000

c =

U c_ C1 =2 e- 6 I l_ L1 =0 .0 15

U_Voltage Me 1 0

d =

U_Controlled

U_Voltage Me 0

Continuous-time model.

, -

Il L1 -

Uc C1,

U_Voltage Measurement Uc_C1 U_Controlled. , -

Continuous-time model. - tf, -

1 (ss-) - s, -

. - ss--

, :

>> W1=tf(H1)

-

Transfer function from input U_Controlled Voltage Source to out-

put U_Voltage Measurement:

5e008------------------------

s^2 + 6.25e004 s + 5e008

, -

.10, - :

>> H2=power2sys('LC_2_Filter', 'ss')

a =

Uc_C1=2e-6 Uc_C2=15e-6 Il_L1=0.015 Il_L2=3e-3

Uc_C1=2e-6 0 0 5e+005 -5e+005

Uc_C2=15e-6 0 -6667 0 6.667e+004

Il_L1=0.015 -1000 0 0 0

Il_L2=3e-3 333.3 -333.3 0 0

b =

U_Controlled

Uc_C1=2e-6 0

Uc_C2=15e-6 0

Il_L1=0.015 1000

Il_L2=3e-3 0

c =

Uc_C1=2e-6 Uc_C2=15e-6 Il_L1=0.015 Il_L2=3e-3

U_Voltage Me 0 1 0 0

d =

U_Controlled

U_Voltage Me 0

Continuous-time model.

-

>> W2=tf(H2)

- , - .

- .

Transfer function from input U_Controlled Voltage Source to out-

put U_Voltage Measurement:

1.111e016

--------------------------------------------------------

s^4 + 6667 s^3 + 6. 889e008 s^2 + 4.444e012 s + 1.111e016

- ( -

- ), MATLAB -

, 12006


. 8.

LC-

. 9. - ()

() LC-

2

3

R = 8 , L= 0, C= infR = 0, L= 0,015, C = infR= 0, L= 0, C =2e6

R = 0, L = 0,003 , C = infR=0, L=0, C = 15e6

Source Type AC

Lconnector L

Scope

Voltage Measurement

Series RLC Branch

RLCResistance R

Inductance L1Capacitance C1

Inductance L2Capacitance C2

Controlled Voltage Source

SimPowerSystems\Connectors

Simulink\Sinks

SimPowerSystems\Measurements

SimPowerSystems\Elements

SimPowerSystems\Electrical Sources

Wafe form sinAmplitude 1 V

Frequency 1000 HzSignal Generator Simulink\Sources

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>> bode(W1)

(. 11). , - 0 100 -

, 1 . 180.

- -

, -

, - freqs , - -

. - , -

s , - -.

:

>> freqs([5e008],[1 6.25e004 5e008])

-

(. 11), - , - (magnitude)

() -

. -

>> bode(W2)

>> freqs([1.111e016],[1 6667 6.889e008 4.444e012 1.111e016])

(. 11, ). ,

( ) - 180 360 - .

,

. 0 180,

, .

, 12006

27www.finestreet.ru

. 10.

- () () LC-

. 11. (, ) - (, ) LC- (, ) (, )

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, 10 - -

- 180.

,

, -- .

MATLAB c2d.

WZ=c2d(sys,Ts,'met')

sys, Ts -

met.

help c2d.

- - tustin.

- . -

, - W2. :

>> WZ2=c2d(W2,2e-5,'tustin')

- ,

Sampling time

Transfer function from input U_Controlled Voltage Source to output

U_Voltage Measurement:

9.746e-005 z^4 + 0.0003898 z^3 + 0.0005847 z^2 + 0.0003898 z + 9.746e-005

-------------------------------------------------------------------------

z^4 3.617 z^3 + 5.142 z^2 3.399 z + 0.8753

Sampling time: 2e-005

- -

freqz,

- -, :

>> freqz([9.746e-005 0.0003898 0.0005847 0.0003898 9.746e-005],[1 -

3.6175.142 -3.399 0.8753])

. 12., , -

0,17 - fs/2 = 0,5/Ts. -, 1, -

180 . 180 360, -

.

ltiview

ltiview( )

- . -

. - ss ( ),

tf(

) zpk (- ,

, ).

() - MATLAB. - MATLAB

ltiview. - - (. 13),

-

, .

, , , -

H2 - ss, - . -

LTI View

File/Import.

Import System Data -

System in Workspace. - -

H2(. 13). - OK. LTI View -

(. 13). -

, LTI View

Edit/Plot Configurations PlotConfigurations (. 13). 1 (

) Response type - . - OK, LTI View

(. 13). -

-

: Step ; Impulse ; Bode ; Bode Magnitude

; Niquist (); Nicols ; Singular Value

- ;

Pole/Zero .

. 13 - .

, - s, :

s = j, . -

0 . 5.

1.

- - Powergui.

-

, -

Powergui: FFT Tools -

.2. -

, -

, - -

.3.

MATLAB power2sys -

.

, 12006


. 12. - LC-

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4. ( ), -

.

5. c2d

-

.

6. -

ltiview - -

.

1. - . .

MATLAB (R13) //Exponenta PRO. .

2003. 2. . 8082.

, 12006

29www.finestreet.ru

. 13. LTI View (, , , ), Import System Data () Plot Configurations ()

SE#7(1).qxd 2/22/2006 12:50 PM Page 29

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