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第四节 受控源及其等效变换

i 2. i 2. i 1. i 1 = 0. + u 1 –. + u 2 –. + u 2 –. + u 1 = 0 –.  u 1.  i 1. i 2. i 1. i 2. i 1 = 0. + u 1 = 0 –. + u 2 –. + u 1 –. + u 2 –.  i 1. g u 1. 第四节 受控源及其等效变换. 一、受控源类型. 受控源的电压或电流是电路中其它部分电压或电流的函数. u 2 =  u 1. u 2 =  i 1.

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第四节 受控源及其等效变换

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  1. i2 i2 i1 i1 = 0 + u1 – + u2 – + u2 – + u1 = 0 – u1 i1 i2 i1 i2 i1 = 0 + u1 = 0 – + u2 – + u1 – + u2 – i1 gu1 第四节 受控源及其等效变换 一、受控源类型 受控源的电压或电流是电路中其它部分电压或电流的函数 u2 = u1 u2 = i1 压控电压源 (VCVS) 流控电压源 (CCVS)  — 转移电压比(无量纲常数)  — 转移电阻(电阻量纲) i2 = –i1 i2 = –gu1 压控电流源 (VCCS) 流控电流源 (CCCS)  — 转移电流比(无量纲常数) g— 转移电导(电导量纲)

  2. R4 Iy  Ix R5 R3 + – + – Us2  Iy Ix + – Us1 R2 含受控源的实际电路举例 受控 电压源 (实际) 独立 电压源 (理想) 独立 电压源 受控 电流源

  3. I + ux – a b Aux + ux – I1 3 R + – R Aux 10 3I1 R + ux – + ux – + – Aux R R I a b Aux 3 R 10 二、受控源的等效变换 与独立电源等效变换相同： 因为本题受控源的控制量I1 恰好是并联内阻上的电流，应先把I1 转化为不会消去的电流 I： 受控电流源 受控电压源 I = I1 – 3I1 = –2I1 受控电流源 3I1 = –1.5I 转化为受控电压源： –1.5I 10 = –15I 例2-6 将CCCS  CCVS + –15I –

  4. I1 a b I2 R I1 I1 a b 三、含受控源单口网络(无独立源)的简化 例2-6 求所示单口网络的等效电阻 + U – R0=(1– )R 设想在端口加电压源 U

  5. I a b I 5 I I a b a b a b + 3I – 5 5 3 2 2 3 例2-7 求所示电路的等效电阻 + U – 1.2 R0 = 8  + 1.8I – 1.5I R0 =U/I = 8 

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