## Network solution: theory and practice |

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### Contents

An Algebraic Model of the Network Topology | 10 |

A Mathematical Model of the Current | 22 |

Classical Network Theory | 51 |

Copyright | |

8 other sections not shown

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### Common terms and phrases

admittance matrix algebraic algorithm b-branch branch currents branch equations branch ordering branch parameters branch voltages Calculate Chapter choice choosing columns computation consistent model corresponding cotree branches current and voltage current cotree current sources current state vector cut-set incidence matrix cut-set matrix cut-set vectors deﬁned deﬁnition denoted derived described electrical network entries equa equivalent network example ﬁnd ﬁnding ﬁrst Gaussian elimination graph graph theory impedance inconsistent inﬁnitely input data integer variables inverse iterative least squares least squares approximate linear equations linearly independent loop loop-set vector network equations network model network solution network topology node vectors non-linear equations non-singular non-singular matrix non-zero number of branches original network orthogonal reference node rows S-network satisﬁed Section set of branches shown in Fig singular value decomposition solution process solved speciﬁed branches strong equations subgraph subnetwork subset theory tion tree branches tree cut-set tree/cotree structure unique voltage sources voltage state vector voltage tree zero