of Analysis PSUT方法分析阵发性室上性心动过速课件.ppt

For mesh 3, In matrix from becomewe can calculus i1, i2 and i3 by Cramer’s rule, and find I0. PSUT Methods of Analysis * 3.5 Mesh Analysis with Current Sources PSUT Methods of Analysis * A circuit with a current source. Case 1 Current source exist only in one mesh One mesh variable is reduced Case 2 Current source exists between two meshes, a super-mesh is obtained. PSUT Methods of Analysis * a supermesh results when two meshes have a (dependent , independent) current source in common. PSUT Methods of Analysis * Properties of a Supermesh The current is not completely ignored provides the constraint equation necessary to solve for the mesh current. A supermesh has no current of its own. Several current sources in adjacency form a bigger supermesh. PSUT Methods of Analysis * For the circuit below, find i1 to i4 using mesh analysis. PSUT Methods of Analysis * If a supermesh consists of two meshes, two equations are needed; one is obtained using KVL and Ohm’s law to the supermesh and the other is obtained by relation regulated due to the current source. PSUT Methods of Analysis * Similarly, a supermesh formed from three meshes needs three equations: one is from the supermesh and the other two equations are obtained from the two current sources. PSUT Methods of Analysis * PSUT Methods of Analysis * 3.6 Nodal and Mesh Analysis by Inspection PSUT Methods of Analysis * For circuits with only resistors and independent current sources For planar circuits with only resistors and independent voltage sources The analysis equations can be obtained by direct inspection the circuit has two nonreference nodes and the node equations PSUT Methods of Analysis * In general, the node voltage equations in terms of the conductances is PSUT Methods of Analysis * or simply Gv = i where G : the conductance matrix, v : the output vector, i : the input vector The circuit has two nonreference nodes and the node equations were derived as PSUT Methods of Analysis * In ge