Presentation on theme: "Two-port networks Review of one ports Various two-port descriptions"— Presentation transcript:
1 Two-port networks Review of one ports Various two-port descriptions Terminated nonlinear two-portsImpedance and admittance matrices of two-portsOther two-port parameter matricesThe hybrid matricesThe transmission matrices
14 Two-port networks Example 1 Determine the input impedance of the circuit in Fig. 2Fig. 2
15 Determine the output impedance of the circuit in Fig. 3 Example 2Determine the output impedance of the circuit in Fig. 3Fig. 3
16 Two-port networksCircuits can be considered by theirs terminal variablesVoltages and currents are terminal’s variablesComplex circuit can be analyzed more easily.There are many kinds of two port parameters.Fig. 4 A two port network
34 Z parameter analysis of terminated two-port Fig. 14 Terminated two-portZ-parameter equations
35 Z parameter analysis of terminated two-port From Crammer’s rulesThe input impedance Zinand
36 Z parameter analysis of terminated two-port Gain:Fig 15 Terminated two-port Z-parameter model
37 Z parameter analysis of terminated two-port Example 9The circuit in Fig 16 is a two-stage transistor amplifier. The Z-parametersfor each stage areFig 16Determine a) The input impedance andb) The overall voltage gainc) Check the matching of the load and output impedance
38 Z parameter analysis of terminated two-port Solution
39 Z parameter analysis of terminated two-port 0.902225.6
40 Z parameter analysis of terminated two-port The overall voltage gainOut put impedanceThe detail is left to the student to show that
41 Z parameter analysis of terminated two-port Therefore the load is closely matched to the output impedance
42 The h-parameter (Hybrid parameter) H-parameter is the combination of Z and Y parameter defined byor in scalar formH-parameter is commonly used in transistor modeling.
56 Conversion of Two-port parameters It can be shown that for the terminated two-port with h-parameter thefollowing equations can be derivedand
57 Transmission parameter The t-parameter or transmission parameters are used in power systemand it is called ABCD parameter. The transmission parameter is defined byorThis means that the power flows into the input port and flow out to theload from the output port.t-parameter can be calculated fromOpen or short circuit atthe output port
58 Transmission parameter Example 11Determine the t-parameter of the circuit shown in Fig 20.Fig 20
59 Transmission parameter One of the most importance characteristics of the two-port circuit witht-parameter is to determine the overall cascade parameter.Therefore
62 Interconnection of two-port network Two port networks can be connected in series parallel or cascadedSeries and parallel of two-port have 4 configurationsSeries input-series output (Z-parameter)Series input-parallel output (h-parameter)Parallel in put-series output (g or h-1-parameter)Parallel input-parallel output (Y-parameter)With proper choice of parameters the combined parameters can be added together.
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