电路2.docx
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电路2.docx
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电路2
1.使用matlab因式分解
a=[15.92730.5283.11163.6176.693.29];
b=[-0.08946-0.1683-8.3266.642-139.6];
[zpk]=tf2zp(b,a)
z=
-1.8492+8.7724i
-1.8492-8.7724i
0.9086+4.3116i
0.9086-4.3116i
p=
-0.9221+3.3785i
-0.9221-3.3785i
-1.0399+1.9935i
-1.0399-1.9935i
-1.0015+0.7082i
-1.0015-0.7082i
k=
-0.0895
a1=[-1.8492+8.7724i;-1.8492-8.7724i];
a2=[0.9086+4.3116i;0.9086-4.3116i];
b1=[-0.9221+3.3785i;-0.9221-3.3785i];
b2=[-1.0399+1.9935i;-1.0399-1.9935i];
b3=[-1.0015+0.7082i;-1.0015-0.7082i];
[n1,d1]=zp2tf(a1,b1,1);
[n2,d2]=zp2tf(a2,b2,1);
[n3,d3]=zp2tf(a1,b3,1);
n=[n1;n2]
n=
1.00003.698480.3745
1.0000-1.817219.4154
d=[d1;d2;d3]
d=
1.00001.844212.2645
1.00002.07985.0554
1.00002.00301.5045
H(s)
2.matlab幅频特性分析
>>b=[-0.08946-0.1683-8.3266.642-139.6];
>>a=[15.92730.5283.11163.6176.693.29];
>>g=tf(b,a)
Transferfunction:
-0.08946s^4-0.1683s^3-8.326s^2+6.642s-139.6
---------------------------------------------------------------------
s^6+5.927s^5+30.52s^4+83.11s^3+163.6s^2+176.6s+93.29
>>bode(g)
可以得出是低通衰减滤波器
3.滤波器的设计
采用级联法分级设计滤波电路
3.1.二阶带通滤波器的传递函数为
萨伦-凯(Sallen-Key)电路
,可知
其中
,得几何中心角频率
rad/s
令
得k=3.2
又因为
,令
,
则得
。
,令
=4uf,则
=100
.
3.2.佛伦德电路
佛伦德电路是最少电容,灵敏度低,经济,最好的一种电路。
3.2.1
H2(s)=
a=2.0797;b=5.0553;c=3.6984;d=80.3745;k3=0;
r=0.625;k1=(1+2*d*R1^2-C*R1)/(1+r);
k1=13.64;k=1;
知道k1不能超过1,将分子所有的系数缩小k1倍,而k增加一倍。
>>m=1/k1;c=C/k1;d=d/k1;
>>a=2.0797;b=5.0553;
>>R1=2*r/(-a+sqrt(a^2+8*r*b));
>>R3=(1+r)*m/(R1*b*(d/b-m));
>>R2=R3/(R1*R3*b+r);
>>R4=R1;
>>R5=R4*R1/(R4-R1);
为了增益加强的分压器电阻R9和R10来实现定标因子K=13.64
K=1+R9/R10;
结果:
C1=C2=100uF;
R1=R4=3.7K;R2=5.002k;R3=R7=52.49K;
R5=R6=inf;
RA=1k;RB=16k;RC=13.65k;RD=1.079k;
R9=12.64k;R10=1k
3.2.2
H3(s)=
>>a=2.0031;b=1.504;c=-1.8172;d=14.415;r=1.273;k=1.78;
>>R1=2*r/(-a+sqrt(a^2+8*r*b));
>>k1=(1+2*d*R1^2-C*R1)/(1+r);
m=1/k1;c=C/k1;d=d/k1;
>>R1=2*r/(-a+sqrt(a^2+8*r*b));
>>R3=(1+r)*m/(R1*b*(d/b-m));
>>R2=R3/(R1*R3*b+r);
>>R4=R1;
>>R5=R4*R1/(R4-R1);
以增益加强的分压器电阻R9和R10来实现定标因子k=1.78;
K=1+R9/R10;
结果:
C1=C2=100uF;
R1=R4=10.63K;R2=1.076k;R3=R7=1.655K;
R5=R6=inf;
RA=1k;RB=0.78k;RC=13.65k;RD=1.079k;
R9=0.78k;R10=1k;
4.orcad电路仿真
4.1连接电路
4.2仿真电路
1.容差设置
.modelRbreakRESR=1dev=5%
.modelCbreakCAPC=1dev=5%
2.仿真设置
3.monte-carlo分析
可以得出是低通滤波器
4.最坏情况分析
上图中最后一个符号对应的曲线即为最坏情况下的输出波形。
5.smoke分析
pspice高级分析使用“advanced“文件的库,调用pspice_elem库中的”variables“元件,改变tolerance和somkelimits的参数。
1.瞬态分析
以正弦电源作为电路的瞬态源
2.smoke分析结果
**Creatingcircuitfile"01.cir"
**WARNING:
THISAUTOMATICALLYGENERATEDFILEMAYBEOVERWRITTENBYSUBSEQUENTSIMULATIONS
*Libraries:
*ProfileLibraries:
*LocalLibraries:
.LIB"../../../11111-pspicefiles/11111.lib"
*From[PSPICENETLIST]sectionofd:
\Cadence\SPB_16.5\tools\PSpice\PSpice.inifile:
.lib"nom.lib"
*Analysisdirectives:
.ACDEC1001100
.WCASEACv([VOUT])YMAXOUTPUTALLVARYBOTHHI
.PROBEV(alias(*))I(alias(*))W(alias(*))D(alias(*))NOISE(alias(*))
.INC"..\SCHEMATIC"
*source11111
R_R1N05022N00704Rbreak100k
R_R2N00704N00708Rbreak100k
R_R30N01735Rbreak1.09k
R_R4N01735N02408Rbreak16k
R_R8N01313N01258Rbreak1k
R_R9N00782N00716Rbreak64k
R_R100N00782Rbreak20k
R_R110N02408Rbreak1k
R_R12N02408N01258Rbreak12.64k
R_R130N01313Rbreak52.49k
R_R14N00716N01735Rbreak13.65k
R_R15N00716N01151Rbreak3.7k
C_C1N00708N00716Cbreak4u
C_C20N00708Cbreak4u
C_C3N01151N01258Cbreak100u
C_C8N01151N01313Cbreak100u
X_U1N00708N00782VCC-VCCN00716uA741
X_U3N01735N01313VCC-VCCN01258uA741
C_C14N03169N03197Cbreak100u
R_R50N03257Rbreak1.079k
R_R21N01258N03257Rbreak13.65k
C_C13N03169VOUTCbreak100u
X_U4N03257N03197VCC-VCCVOUTuA741
R_R16N03257N03289Rbreak0.78k
R_R17N03197VOUTRbreak1k
R_R200N03197Rbreak1.65k
R_R180N03289Rbreak1k
R_R19N03289VOUTRbreak0.78k
R_R22N01258N03169Rbreak10.63k
V_V1N050220DC0VdcAC100Vac
V_V2VCC015Vdc
V_V30-VCC15Vdc
****RESUMING01.cir****
.END
****DiodeMODELPARAMETERS
******************************************************************************
X_U1.dxX_U1.dyX_U3.dxX_U3.dy
IS800.000000E-18800.000000E-18800.000000E-18800.000000E-18
RS11.000000E-0311.000000E-03
CJO10.000000E-1210.000000E-12
X_U4.dxX_U4.dy
IS800.000000E-18800.000000E-18
RS11.000000E-03
CJO10.000000E-12
**Creatingcircuitfile"22.cir"
**WARNING:
THISAUTOMATICALLYGENERATEDFILEMAYBEOVERWRITTENBYSUBSEQUENTSIMULATIONS
*Libraries:
*ProfileLibraries:
*LocalLibraries:
*From[PSPICENETLIST]sectionofd:
\Cadence\SPB_16.5\tools\PSpice\PSpice.inifile:
.lib"nom.lib"
*Analysisdirectives:
.TRAN01us01n
.PROBEV(alias(*))I(alias(*))W(alias(*))D(alias(*))NOISE(alias(*))
.INC"..\SCHEMATIC"
****INCLUDINGSCHEMATIC****
*source2222
V_V1N135300DC0VdcAC100Vac
V_V2VCC015Vdc
V_V30-VCC15Vdc
R_R1N13530N148151100k
R_R2N148151N16666100k
R_R30N1294220k
R_R4N12942N1291064k
R_R5N12910N1306213.65k
R_R6N12910N129843.7k
R_R7N13012N129981k
R_R8N12998N1337810.63k
R_R10N13084N1299812.64k
R_R110N134301.079k
R_R12N13460VOUT0.78k
R_R130N1301252.49k
R_R140N130621.09k
R_R15N13062N1308410k
R_R160N130841k
R_R17N13430N1299813.65k
R_R180N134041.65k
C_C1N1666604uTC=0
C_C2N12910N166664uTC=0
C_C3VOUTN13378100uTC=0
C_C4N13404N13378100uTC=0
C_C5N13012N12984100uTC=0
C_C6N12998N12984100uTC=0
R_R21N13430N134601k
R_R22N13404VOUT1k
R_R230N134601k
X_U5N16666N12942N12910VCC-VCCawbclc401
X_U6N13062N13012N12998VCC-VCCawbclc401
X_U7N13430N13404VOUTVCC-VCCawbclc401
****RESUMING22.cir****
.END****12/19/1212:
10:
55******PSpice16.5.0(April2011)******ID#0********
**Profile:
"SCHEMATIC1-22"[D:
\乐扬锐1\yueyangrui1\2222-PSpiceFiles\SCHEMATIC1\22.sim]
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