basics of eis part 1 - gamry instruments · mm - ttm mmm fi oooam *$- m #- * #, m, ... inductor e =...

18
cn.gam.com G�Mff , r

Upload: others

Post on 10-Mar-2020

11 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

cn.gamry.com G�Mff ,r

Page 2: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

tt�H:�,tt��llmit? ............................................... ...................................... 3�ffl.H� ........................................................................................................................ 8

�,ft.�1*� 89�'ti'ti .................................................................................... 10

. �1tl!�5 ................................................................................................................. 17

2 cn.gamry.com C:1Mff .r

Page 3: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

�Km:� jE 5l.. = � �llm ffi*

**����m�ffl�-*o ����r�#fflK� ft���-�-��fflo ���$(0�1)�5(� �11.¾ Et!. ffi � Et! mt l¥J lt {a 0

E 1 R =- -

I

3 cn.gamry.com C:'1Mff X'

Page 4: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

-�M*�l¥J����ffi�-ffi�-��• !:l!�Jl ffi:A,J,��$.x*-�tt��a<J��������ffia<Jffl���ffl�

�W, ���M���*���-�ff#, �$ili��� ���-0 ���-�-#��ftfil���M#W�OO� �Jlffi�, '31 A �Jim l¥J ffi�, --� £ 1ft ffl e<J �� o q � �Jlffl �a<J�, mve*����-mh*����, ����, ���_tj£Ji}rJtl!WJ � e<J�l$tl ����m�-tt-��-��ffi%�����...t, �­����������o @��������-�&%, ���!:l!���a<J��-!:l!�ffi%0 �!:l!�ffi%eyfflrr� m��*?t1Jr c 1t11�J1tt&�)

4 cn.gamry.com C:1/'1ff ,Y

Page 5: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

E

phase-shift

2 81

= E0

sin(cvt)

3 cu=2nf

5 gamry.com C:1Mff .r

Page 6: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

5 z

=E,

= E

0sin(wt)

=Z sin(c.vt)

/, 10sin(c.vt+¢>)

0

sin(wt+if>)

l-1 di

E+dE

6 cn.gamry.com C:1Mff .r

Page 7: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

6 expU</>) = cos¢ + jsin<f>

8 l, =10

expUcvt-<j,)

9 Z(cv)= E =Z0expU</J)=Z

0(cos<j, + jsin<j,)

I

7 cn.gamry.com C.1/11�Y

Page 8: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

���gey��ili, z ( u)) �El3�ff!I�Aiffl3pijffl3Jt ill,Gx O � � $ 751 X*81, Ai$ 751Y*8f' Af � ft JU :!lo m 3 JiJrffeff{JNyquist Ill o tt�III g:tY*8J�iA � 8{J, Ny­

quistl11 g:t4i--��1£�mZffi$r89�llmffio �Ill

3g:ra<JttMAf��-, �-1£�, -ffi1£�o Nyquist Ill g:r 89 �1lmltf fl�751�fifjtffi I z I O �-

� X*8J a<J � 1FJ 751 ffl-nz: 1FJ o

·lmZ A

� argZ

0

1,.- . > R<f.l

R

Nyquist Ill B{]---1'.±:������ft��ili Jllg:t{£ 1#-- �Ji)r� mta<J�$

8 cn.gamry.com G:1M�.r

Page 9: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

m 3 * ff(JNYQUI ST Ill� EB m 4 * ff(] it�%� 0 ¥-!Ml �--tll'1" rBJ I

tm%���0 it�tmmoo�,�*n-tti, i�tttt

� � �J-¥ I a<J--1% o

�--#f Jfl a(] 00/J\JJ�P4BODE00 o �Jlm1i�,7g P!�$Xiff£ :fa.J x1 , P! �1IJJc ff(] ffim-m ( 1 z 1 = z o) � ffl i :fa.J vi 0

0049=1 �JI Xi!Jia<JBODE0075J!i5Plr�o �NYQUIST00:f ije<J I:, BODE00tlil��1*-{{� ��, o

log Z

w

90

w

-90

9 cn.gamry.com C.-1M�r

Page 10: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

I-

ri!�fi�tJfa<JJEJllli §rOppenheim and Willsky]i}r� «m-%��tJE» --x�:

�tt�tJE�-�-��fil-��� fto �--A� $ �Wf % i¥J 110 �� , mu fftr tli �� rm -a<J � 110 , -IB mt

��' �tJf�-�ffi%��a<J��®o ffl-�** Jtmc�, fpffa]a<Jit�PEJ�yl (t) �xfxl (t) a<JJJJtij@, y2 (t) ¾x&�Ax2 Ct) JftiJ@a<J!mtrili o �o-��'ti�t;E , mu= 1) yl(t) + y2(t)= xl(t) + x2(t)2) ayl(t)= axl(t)�r--������, �A��ffi, �lli���o����tJf����a<Jo mM�ffi�-��@mffia<J�rfr[o

10 cn.gamry.com C:'1Mff r

Page 11: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

�W, 006B����-��#fil��- lt-�o �� -�--�&�ffi�M, rufil��MltOOo

Current

\

\

Voltage

{£-�OOEIS����, fuJ-�118i1J01-10mV003<:ffifa%

o r£���oo�&���, -�eyfil�#��Mttooo a1n#�tu �r&»tJOCffi�&oo�::k�FM't!P��, ���aIDR�7r£-�M$�00�ffio �*-���MltOO, ru�-����*-�M$00 ffl-o ffl-�-��-�-fflR9�$0 M�, =�ffl -00�$�-r�-OOMftf o-���#B��m���-o Mlt�������ffi_, ��ey�Bttffi-#1£��*���-00Mftfto ��-���AM�t�ffl�::kli9-�fa%o �fil�fflffi-��*�tt-��-�ffi�MOO�$o

11 cn.gamry.com G:1M�.r

Page 12: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

EI s a<J IJ I: I J;-jE e<J lrt ra1 Offi 1ft Qi,� f{ lj\ lrt ) 0 1f �-t EI s m� I: lrt

raJ JI!. f!IH* i � aji�-f ffi }E � � 0 tEEI sm� :ill) ?t tfrnffl * lli � fiij I

ff{Jffi' �}j!2iJi���1'J:fl}Eo

i��-�ill-�l 0 ���ilfl-*Ml�ffl, -�m

ff{]�*,m��&�1��,tm�mM�#�i���w��,

Wr,iJfti;Jt�--���lii)�

1±�F��il�, EIS�j;;{EJ}-tfrIJ\ 1tJl�$t�t&�iliJHl9�lo

at �::t � � �, t& at �9l� 1*

w%������iffli��offi��1m��tf���*otE�

�fmm��'�ffl���#�, lrt�llll�o

a���, rn%00���m%�M�lrt�OOo 007M��lrn�-t�

�,�11oa<Jm%OO

� 0

<

-0.S 0 0.2 0.4 0.6 0.8

Time

12 cn.gamry.com C.1,Mff.r

Page 13: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

'B -�

0.4

� 0.2

5 10 15

Frequency

20

�����ey�lifflff�o ffl£���ey���ff

��-�oo��--o *£OO**' �--���

�, moo�-fi�-00, ����00-����o

ffl£���������-ff����--o

�-ft*�������, ��--������

to �-mmrt-*-mfflff�-�-*����­

-��*��o mrtmffl--*ff�-*����* ¥mo �}flFFT�*¥l-rn�ff����ffi�o

��OOA-f*ffil"f.i��*�ffl*��

13 cn.gamry.com G:1M�.r

Page 14: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

l:g�JG14

���mm�-����ttm����Mmm� fi��OOo am�*$-�M�#-�*��� �#, ���m, �3���o am�oo�#� �Afle������o ��*$am-m�m *mmmu�1*� oom7fl ��110

�JJt, fl:Xfi<tE �M�f4�1lmOOfflm��F�fl m�o �l�ili7*���-�#, �ffi���:X�

�&Jt�llmo

Component Current Vs.Voltage Impedance

resistor E=IR Z=R

inductor E = L di/dt Z=jwl

capacitor I= C dE/dt Z = 1/jwC

ttt, �ffl00fflm���$x:}c, ��fl��o �tt& fl���' ���tt�m�ffl����ff��-�o

14 cn.gamry.com G:1M�.r

Page 15: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

��oommffi�-*OO*�W*�o ��oomm� fi-�o ��' ���tt��J§, ffi�r�ffi, ffl 1'Jffi.#90Jlo

��oomm�������ffi&o �woommm�

�-*OO*�W��o ��oomm&�fi-So ffi �r�ffi, ���tt�WJ§, ffl1'JfftiE#90llo

�-5G1400$11*�#�

m�fi������m�����-JG�*-fflo

ffi&, ���m�-�#flm$�5G�o 5G�OO$ � ( 009) �#11* ( 0010) �fl 0

-���000�ey�ffi*���-5G�ffl�OO*�

�*�o

15 cn.gamry.com G:1M�.r

Page 16: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

--.------i z,

2i

* 1fx �i& ff{] �llmffiJU EH� 11 itfJ ill :

11 l 1 1 l -=-+-+-zeq Z 1 Z2 Z3

$M���*M�fl��i&������Bo @ "ii�l Q ffi4 Q 9{]��1l.$!fxo ��llff{J�llmffiffi � �ll ffiffl � < .00.* 1 ) o � Jlt�o j:\ 12m�tt1Ji�t �llmffi=

�m.$1fx�, �mffi�mmffi��*o @liM�2 µ F� ��.$Jfx, JJ!Ui�l ��ffi:Ygl µ F 0

13 Zeq = Z 1 + Z2 = 1/jcvC 1

+ 1/jcvC2

= l/jw(2e- 6)+ l/jcv(2e- 6)

= 1/jw(le- 6)

���.$-�, mmffi�*, W��ffi��o ��EH���ffiffimmffi�&���o ���*9{]���-�, ftfi����R�� �ffi�i&�B1tf:o

16 cn.gamry.com G:1M�.r

Page 17: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

�l]*�oo�;ttfrn£$w }�,,

��*°xt#

Ea ::::#ttJftXf;l' m.m�fi

A �14:J!ffi

� r�Gamry:liif A&*

$x1tl:

� >C�r� · -

r lx3il! 1t1: �tx # iJ!

rm�

e it!it��lfil�j;tfi)II

��1=17C1*�il'Wm

vn a<J ffl *,ra .m

17

�m�t.m� II.I VJ [Ej GamrynlJ ff

9*? ' AJ"lt� JiJr :ffm�

Bf @ ffl * 1a-��Jmtffl �tt�

* 'Sffi lJJJf� �� :Ii1liiJD a<J � *

cn.gamry.com C:1MR.r

Page 18: Basics of EIS Part 1 - Gamry Instruments · mm - ttm Mmm fi OOoam *$- M #- * #, m, ... inductor E = L di/dt Z=jwl capacitor I= C dE/dt Z = 1/jwC ... Basics of EIS Part 1 Author: Gamry

��£$tt*��ffi��§���, ��tr 021-656860060

cn.gamry. com

cn.gamry.com C'1M�,r