dept. of biomed. eng.bme207: basic electronic circuitskyung hee univ. 1 학생 작성 강의록...
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Dept. of Biomed. Eng.BME207: Basic Electronic CircuitsKyung Hee Univ. 3 학생 작성 강의록 Node Voltage Analysis Step 3 Step 4 Step 5TRANSCRIPT
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Chapter 3
저항 회로망 해석
김소담 김수진 김영은 김현희 이지혜
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Node Voltage Analysis
Select a reference node.
Identify all node voltages.Identify all element currents.
Write (N-1) KCL equations.
Express element current in terms of node voltages.
Substitute and rearrange.
Step 1
Step 2
Step 3
Step 4
Step 5
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Node Voltage Analysis
Step 3
Step 4
Step 5
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Node Voltage Analysis 정리
N 개의 node → (N-1) KCL equations
→ (N-1) node voltages
→ AX = B , 해 = xA: 회로에 대한 정보 ( 저항값 )
B: source (is)X: Node Voltage
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Node Voltage Analysis
* 전압원의 처리 방법 ( 전압원이 불편한 경우 )
1) Source Transformation
Vs Rs
Is =
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Node Voltage Analysis
* 전압원의 처리 방법 ( 전압원이 불편한 경우 )
1) Source Transformation
Ex)
Step 3
Step 4
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Node Voltage Analysis
* 전압원의 처리 방법 ( 전압원이 불편한 경우 )
2) Reference node selection
Ex)
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Node Voltage Analysis
* 전압원의 처리 방법 ( 전압원이 불편한 경우 )
3) Super Node
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Mesh Current Analysis
Mesh : a loop that does not enclose an element
Step 1
Step 2
Step 3
Step 4
Identity a mesh current for every mesh and a voltage across every element
Write KVL constraints around all meshes
Express element Voltage in terms of mesh current
Substitute and rearrange and solve
:mesh
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Mesh Current Analysis Example
iA iBV0
V1 V2
V4
①
Example
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Ex)
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Mesh Current Analysis 요령①
②
③
A current source in only one mesh
→ mesh current = source current
A current source in two meshes orA current source with series resistor
→ Super mesh
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Ex1)
8V= 4kΩ X 2mA
Mesh Current Analysis 요령
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Ex2)
Mesh Current Analysis 요령
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Linearity - 선형성- Input : Signal produced by independent source ex) 전압원 전류원- Output : any other designated signal ex) 전압 , 전류
* Linear Circuit ( 선형회로 ) 은 아래의 2 가지 조건을 만족시켜야 한다 .
① Homogenity (Proportionality) : f(kx) = k f(x)② Additivity (Superposition) : f(x1+x2) = f(x1)+f(x2)
* R( 저항 ) L( 인덕터 ) C( 커패시터 ) 만을 포함하는 회로는 선형회로
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Bridge circuit Example
VO
V1 V2
V3 V4
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Case 1 Case 2is=0 일때 Vs=0 일때
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Principle of Superposition( 중첩의 원리 )선형회로에서만 사용가능 !!압력이 여러 개일 때 출력은 각각 입력했을 때의 결과값의 합과 동일
Step by step
Step1
Step2
Step3
Turn off all indepen-dent sources(input)Find output for each input only
Add all outputs
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Short
Open
전압원
전류원
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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ex) 1
2
3 Vs= Vo1 + Vo2 + Vo3
=1/3(Vs1+Vs2+Vs3)평균값
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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ex)
1) 2)
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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ex)
1)
2)
끊어져서 i=0 이 되므로 같은 노드가 됨 !저항이 없는 것이라고 생각 ~
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Thevenin and Norton Equivalent CircuitThevenin Norton
RT=RN
VT=IN*RT
방법 1 방법 2
VT=Voc : 개방전압iN =isc : 단락전류RT=RN=VT/VN
VT=Voc RT : 모든 전원을 제거한 후의 등가저항
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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ex)
부하 Vo
선형회로Thevenin
방법 1VT=VOC= VS R2
R1+R3
RT=R3+(R1//R2) =R3+ R1R2
R1+R2
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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방법 2
Isc
R2 R1+R3
=R3+ R1R2 R1+R2
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Loading Effect( 부하효과 )부하저항에 따라 V, I, P 가 변함
VT
RT
Vo
최대출력전압 VLmax=VT=Voc 최소출력전류 =0 (RL=∞)
최대출력전압 VLmin=0=Vsc 최소출력전류 =VT/RT (RL=0)
전력=0
RL VL IL PL
0 0 VT/RT 0… … …
∞ VT 0 0커졌다 작아짐
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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RT=RL 일 때 P 최댓값
VL PL
RL
VTRT
VT
(VT)4RT
2
PLMAX
VL(RL=RT) = 1/2VTiT (RL=RT) = VT/2RLPL(RL=RT) = (VT)^2/4RL
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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VT
RT
VL
Nonlinear Load
load
iL VTRT
VT
VL
iL
Load line ( 부하선 )
무엇이 연결되든 간에위의 선 ( 부하선 ) 을 만족해야한다
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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참고iL
VLRL
:Ohm’s Law
VL
iL
1RL
:Slope
부하의 소자에 따라 결정< 선형부하의 i-V 특성 곡선 >
VL
iL
Element constraint 와Load line 그래프의 교점
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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3 장 끝Thank you!