Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

1 차온유

APPLIEDELECTRONIC

CIRCUIT김서주김혜리 유예림차온유홍주영

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

2 차온유

Complex Exponential

APPLIED ELECTRONIC CIRCUIT

            the real part

      the imaginary part

                the magnitude of z

        atan2(y, x) Euler's for-mula

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

3 차온유

APPLIED ELECTRONIC CIRCUIT

𝐴1𝑒𝑗 𝜃1=𝑧1

𝐴2𝑒𝑗 𝜃2=𝑧 2

𝐴2𝑐𝑜𝑠 𝜃2𝐴1𝑐𝑜𝑠 𝜃1

𝐴2𝑠𝑖𝑛𝜃2

𝐴1𝑠𝑖𝑛𝜃1

선형 시스템 (Linear Sys-tem)

크기 와 위상 이 달라진다 ! 주파수 는 그대로 !

H

시스템의 특성을 복소수로 표현( 해석방법이 간단해 진다 !)

기억하기 !

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

4 차온유

Phasor ( 위상자 )

APPLIED ELECTRONIC CIRCUIT

Amplitude( 진폭 ) 와 Phase Angle( 위상각 ) 에 대한 정보를 가진 complex num-ber( 복소수 )

Time Function Phasor

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

5 차온유

APPLIED ELECTRONIC CIRCUIT

* Phasor 에서 Time function 을 구하는 방법

𝐴𝑒 𝑗 𝜃×𝑒 𝑗 𝜔𝑡

Phasor

Time function Phasor

𝐴𝑐𝑜𝑠𝜔𝑡→𝐻𝑒 𝑗 𝜃→𝐴𝐻𝑐𝑜𝑠 (𝜔𝑡+𝜃 )

𝐴𝑒 𝑗 0 °×𝐻𝑒 𝑗𝜃=𝐴𝐻 𝑒 𝑗𝜃입력의 Phasor 전달함수 = 출력의 Phasor

Re{ 입력의 Phasor 전달함수 }= 출력

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

6 차온유

위상자를 이용한 임피던스 정의 (definition of impedance using phasor)

APPLIED ELECTRONIC CIRCUIT

Pha-sor

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

7 차온유

Differentiator ( 미분기 )

APPLIED ELECTRONIC CIRCUIT

+

-

O U T

𝑉 𝑖

𝑉 𝑜

𝑅

𝐶

𝑖1

𝑖2

0𝑉

0𝑉

𝐶𝑑𝑉 𝑖

𝑑𝑡+𝑉𝑜

𝑅=0→𝑉 𝑜=−𝑅𝐶

𝑑𝑉 𝑖

𝑑𝑡

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

8 차온유

APPLIED ELECTRONIC CIRCUIT

* Phasor 에서 미분기 해석 방법

+

-

O U T

𝐕𝑖 𝑅

0𝑉𝐕𝑜

𝐈2

𝐈10𝑉

1𝑗 𝜔𝑐  

𝐈1=𝐕𝑖

1𝑗 𝜔𝑐

,𝐈2=𝐕𝑜

𝑅

통째로 하나의 저항인 것처럼 다룬다 !

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

9 차온유

APPLIED ELECTRONIC CIRCUIT

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

10 차온유

Integrator ( 적분기 )

APPLIED ELECTRONIC CIRCUIT

+

-

O U T

𝐕𝑖

𝐕𝑜

𝐈1

𝑅1

𝑅2

𝐶𝐈2

𝐈3

𝐈4=0

𝐈1+𝐈2+𝐈3=0

𝐕𝑜=−1𝑅1

11𝑅2

+ 𝑗 𝜔𝑐𝐕 𝑖=−

𝑅2

𝑅1

11+ 𝑗 𝜔𝑅2𝑐

𝐕 𝑖

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

11 차온유

Bode Plot

APPLIED ELECTRONIC CIRCUIT

20 log|𝐇|=20 log𝑅2

𝑅1

1

√1+𝜔2𝑅22𝐶2

1.

2.

3.

20 log|𝐻|

20 log𝑅2

𝑅1

𝜔1log𝜔

𝟑𝒅𝑩

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

12 차온유

APPLIED ELECTRONIC CIRCUIT

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

13 차온유

8. NRC (Negative Resistance Converter)

APPLIED ELECTRONIC CIRCUIT

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

14 차온유

APPLIED ELECTRONIC CIRCUIT

참고 ) Negative impedance circuits

Negative impedance circuit

Negative resistance circuit

Negative capacitance circuit

Negative inductance circuit

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

15 차온유

APPLIED ELECTRONIC CIRCUIT

OP AMP 회로에 전원 공급 방법

+

-

O U T

+

-

O U T

𝑉 𝑐𝑐

𝑉 𝐸𝐸

+𝑉 𝑐𝑐

−𝑉 𝐸𝐸

0.1𝜇𝐹

0.1𝜇𝐹

0.1𝜇𝐹

0.1𝜇𝐹

10𝜇𝐹

10𝜇𝐹

잡음 제거

BYPASS CAPACITER OR DECOMPLING CAPACITER교류를 bypass 교류와 직류를 분리

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

16 차온유

OP AMP 회로에 흐르는 전류

APPLIED ELECTRONIC CIRCUIT

𝑖𝐸𝐸

𝑖𝐶𝐶𝑖𝑂

𝑖𝑂

(OP AMP 가 부하로 부터 전류를 sink)

(OP AMP 가 부하에게 전류를 source)

𝒊𝑶=𝟎일때 , 𝒊𝑪𝑪=𝒊𝑬𝑬= 𝑰𝑸

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

17 차온유

저전력 OP AMP

APPLIED ELECTRONIC CIRCUIT

+

-

O U T

𝑉 𝑖

𝑉 𝑜

Non-inverting Amp

가 작은 OP AMP

Source

Sink

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

18 차온유

APPLIED ELECTRONIC CIRCUIT

+

-

O U T

𝑉 𝑖

𝑉 𝑜

Inverting Amp

Source

Sink

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

19 차온유

APPLIED ELECTRONIC CIRCUIT

𝑉 𝐶𝐶

𝑉 𝐸𝐸

𝑖𝐶𝐶

𝑖𝐸𝐸 𝐼𝑄

Source

Sink

𝒊𝑪𝑪>𝒊𝑬𝑬𝒊𝑪𝑪<𝒊𝑬𝑬

방향

방향

Dept. of Biomed. Eng. BME303:Applied Electronic Circuit Kyung Hee Univ.

20 차온유

THANK YOU