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Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
www.ejwoo.com 1 학생 작성 강의록
3 장 : 저항 회로망 해석Resistive Network Analysis
2013103800 김효진2013103838 한소희2010103815 정희형2013103837 추연웅2013103816 이보미
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
www.ejwoo.com 2 학생 작성 강의록
Node Voltage Analysis
Step 1) select a reference node.
Step 2) identify all node voltages.
identify all element currents.
Step 3) Write (N-1) KCL equations.
Step 4) Express element currents in terms of node voltages.
Step 5) substitute and rearrange.
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
www.ejwoo.com 3 학생 작성 강의록
예)
Step 1) select a reference node.
A B
0
Step 2) identify all node voltages AND all element currents.
I0 I1 I3
I2
Step 3) Write (N-1) KCL equations.Node A : I0 + I1 + I2 = 0Node B : I2 = I3
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
www.ejwoo.com 4 학생 작성 강의록
예)
Step 4) Express element currents in terms of node voltages.
A B
0
I0 I1 I3
I2
I0 = - IsI1 = VA /R1
I2 = VA – VB /R2
I3 = VB /R3
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
www.ejwoo.com 5 학생 작성 강의록
예) A B
0
I0 I1 I3
I2
Step 5) substitute and rearrange.
- Is + (VA /R1) + (VA – VB /R2) = 0(VA – VB /R2) = VB /R3
[ 1𝑅1
+1𝑅2
−1𝑅2
1𝑅2
−( 1𝑅2
+ 1𝑅3
) ] [𝑉 𝐴
¿𝑉 𝐵
] =
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
www.ejwoo.com 6 학생 작성 강의록
• 전압원의 처리방법① Source Transformation 노드 전압 해석은 KCL 을 사용하므로 전류원이 있을 때 계산이 훨씬 용이하다 .
( 주의 ) 가 없으면 Transform 불가
Node Voltage Analysis
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
www.ejwoo.com 7 학생 작성 강의록
• 전압원의 처리방법② Reference node selection 예 )
Node Voltage Analysis
A B CI1 I3
I2 Reference Node
R/2
2R 2R
R/2 R
I4
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
www.ejwoo.com 8 학생 작성 강의록
• 전압원의 처리방법② Reference node selection 예 )
Node Voltage Analysis
A B CI1 I3
I2 Reference Node
= +
R/2
2R 2R
R/2 R
𝑉 𝐴=𝑉 𝑆
I4
+ =
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
www.ejwoo.com 9 학생 작성 강의록
• 전압원의 처리방법③ Super node
Node Voltage Analysis
+
-VS 회로I
Super Node
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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예 ) Super Node
미지 : ,
① 2 =② - = ③ + + + = 0
= 0∴ ( + + ( +
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) Identify a mesh current for every mesh and a voltage
across every element.
Step 2) Write KVL constraints around all meshes.
Step 3) Express element voltage in terms of mesh currents.
Step 4) substitute and rearrange.
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Mesh Current Analysis 예 )
미지 :,
Step 1) Identify a mesh current for every mesh and a voltage across every element.
𝐼 𝐴 𝐼𝐵
+𝑉 1− +𝑉 2−
+ -
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Mesh Current Analysis 예 )
미지 :,
𝐼 𝐴 𝐼𝐵
+𝑉 1− +𝑉 2−
+ -
Step 2) Write KVL constraints around all meshes.
Mesh A : Mesh B :
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Mesh Current Analysis 예 )
미지 :,
𝐼 𝐴 𝐼𝐵
+𝑉 1− +𝑉 2−
+ -
Step 3) Express element voltage in terms of mesh cur-rents.
)
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Mesh Current Analysis 예 )
미지 :,
𝐼 𝐴 𝐼𝐵
+𝑉 1− +𝑉 2−
+ -
Step 4) substitute and rearrange.
(12 )
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
www.ejwoo.com 16 학생 작성 강의록
• 전류원의 처리①Source Transformation 메쉬 전류 해석은 KVL 을 사용하므로 전압원이 있을 때 계산이 훨씬 용이하다 .
( 주의 ) 가 없으면 Transform 불가
Mesh Current Analysis
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
www.ejwoo.com 17 학생 작성 강의록
• 전류원의 처리② A Current Source in only one mesh => mesh current = source current③ A Current Source in two meshes or a Current Source with series re-
sistor => super mesh
Mesh Current Analysis
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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중첩의 원리 Step1) Turn off all independent input source Step2) Find output for each input only Step3) Add all output
-Voltage source 의 경우는 short
-Current source 의 경우는 open
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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예 1) (Vo=7.5V)
step 2) V1 Short
Vo2=2.5V
Vo=Vo1+Vo2=5V+2.5V =7.5VVo1=5v
Step 1)V2 Short step3) add all input
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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예 2 ) (Vo=?)
Step 1) V1 short
Step 2) Is Open
Vo=Vo1+Vo2=0+R3 X Vs/(R2+R3)Vo=Vs X R3/(R2+R3)
Step 3) Add all Input
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Thevenin - Norton equivalent
• 테브닌의 정리 : 부하의 관점에서 어떤 회로라도 이상 전압원 Vt 와 등가저항 Rt 가 직렬 연결된 등가회로로 나타낼 수 있다 .
• 노턴의 정리 : 부하의 관점에서 어떤 회로라도 이상 전류원 It 와 등가저항 Rn 이 병렬 연결된 등가회로로 나타낼 수 있다 .
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Thevenin - Norton equivalent
방법 .1-> Vt = Voc : 개방전압->In = Isc : 단락전류->Rt = Rn = Vt/In
방법 .2->Vt = Voc : 개방전압->Rt : 모든 전원을 제거한 후의 등가저항
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Thevenin - Norton equivalent예 1)
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Thevenin - Norton equivalent예 1) 방법 . 1
Dept. of Biomed. Eng. BME207: Basic Electronic Circuits Kyung Hee Univ.
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Thevenin - Norton equivalent예 1) 방법 . 2
