二端子対回路PPT课件

1、山田 博仁Electric Circuits電気回路学情報4開講二端子対回路9章、10章学習範囲9章二端子対網基本的表現法9.1二端子対網9.2行列9.3行列9.4縦続行列9.5行列9.6S行列9.7諸行列間関係9.8Y-D変換9.9完全四端子網10章二端子対網伝送的性質10.1二端子対網入力、出力、及伝達10.2伝送量10.3双曲線関数10.4反復10.5影像10.610.7円線図二端子対網I1内部電源含2211Black BoxV2V1I2I2I1入力端出力端、端子2-2短絡、端子1-1電圧 V1 I1 = y11 V1I2 = y21 V1V2 = 0y11: 短絡駆動点y21: 短絡伝

2、達次、端子1-1短絡、端子2-2電圧 V2 I1 = y12 V2I2 = y22 V2V1 = 0y22: 短絡駆動点y12: 短絡伝達V2 =0V1=0行列I12211Black BoxV2V1I2I2I1I1 = y11 V1I2 = y21 V1V2 = 0I1 = y12 V2I2 = y22 V2V1 = 0端子1-1短絡V2 印加場合端子2-2短絡V1 印加場合重合原理、I1 = y11 V1 + y12 V2I2 = y21 V1 + y22 V2相反回路、y12 = y21y11, y22, y12 , y21(、Y)、y11 = y22、二端子対網対称21222112112

3、1VVyyyyII行列(Y行列)、入力出力逆回路同働I = YVY = tY転置行列行列I12211Black BoxV2V1I2I2I1V1 = z11 I1V2 = z21 I1I2 = 0V1 = z12 I2V2 = z22 I2I1 = 0端子1-1開放 I2 流場合端子2-2開放 I1 流場合重合原理、V1 = z11 I1 + z12 I2V2 = z21 I1 + z22 I2相反回路、z12 = z21z11, z22, z12 , z21(、Z)、z11 = z22、二端子対網対称212221121121IIzzzzVV行列(Z行列)I1I2=0I1=0I2V2z11, z

4、22: 開放駆動点z12, z21: 開放伝達V = ZIZ = tZ転置行列212221121121IIzzzzVVV = ZI212221121121VVyyyyIII = YVIYVVZIZ = Y-1Y行列Z行列関係Y行列求方Z行列求方、出力端短絡(V2 = 0)、V1 印加場合 I1 I2 求次、入力端短絡(V1 = 0)、V2 印加場合 I1 I2 求、出力端開放(I2 = 0)、I1 流場合 V1 V2 求次、入力端開放(I1 = 0)、I2 流場合 V1 V2 求y11 = I1 / V1y21 = I2 / V1y12 = I1 / V2y22 = I2 / V2相反回路、y

5、12 = y21z11 = V1 / I1z21 = V2 / I1z12 = V1 / I2z22 = V2 / I2相反回路、z12 = z212112221111211222222112111yyyyyyyyzzzzDD二端子対網並列接続212221121121VVyyyyII212221121121VVyyyyIIy12y11y21 y22V1I1I1V2I2I2y12”y11”y21” y22”V1”I1”I1”V2”I2”I2”y12y11y21 y22V1I1I1V2I2I2y12”y11”y21” y22”V1”I1”I1”V2”I2”I2”I1I1V1I2I2V2並列接続I1

6、 = I1 + I1”I2 = I2 + I2”V1 = V1 = V1”V2 = V2 = V2”212222212112121111221121VVyyyyyyyyIIIIII直列接続二端子対網直列接続212221121121IIzzzzVV212221121121IIzzzzVVz12z11z21z22V1I1I1V2I2I2z12”z11”z21” z22”V1”I1”I1”V2”I2”I2”V1 = V1 + V1”V2 = V2 + V2”I1 = I1 = I1”I2 = I2 = I2”212222212112121111221121IIzzzzzzzzVVVVVVV1z12z

7、11z21z22V1I1I1V2I2I2z12”z11”z21” z22”V1”I1”I1”V2”I2”I2”I1I1I2I2V2並列接続直列接続例題9.4例題9.5Yy2y1y12y11y22y21以下回路Y行列求並列接続考22211211yyyyYYy2y1Y”2100yyY212221121100yyyyyyYYY、以下回路Z行列求Zz1z2z12z11z22z21直列接続考Zz2z1Z”22211211zzzzZ2100zzZ212221121100zzzzzzZZZ、演習問題演習問題(9.2)Nn : 1二端子対回路網NZ行列(Y行列)既知、全体二端子対回路網NZ行列(Y行列)求V2V1I1I2V2I2V1I1、既知回路網N両端端子電圧電流、Z以下与。V1 = z11 I1 + z12 I2V2 = z21 I1 + z22 I2次、回路全体端子電圧電流、既知回路網N端子電圧電流関係付。V1 = V1 / nI1 = n I1I2 = I2V2 = V2従、上式、V1 = n2z11 I1 + n z12 I2V2 = n z21 I1 + z22 I22122211211221IIznznzznVVY行列場合同様考、I1 = y11 V1 + y12 V2I2 = y21 V1 + y22 V2V1 = V1 / nI1