- Double stub matching using smith chart ppt how to#
- Double stub matching using smith chart ppt generator#
Double stub matching using smith chart ppt generator#
1 + load and all other wave impedances repeat every P / 2 along the line a rate of 2 F lĮxamples of Smith Chart UsageExample A (conditions same as in TLS3) TLS3Given: Given: Z0 = ZL = 300, U = Fl = 0.8P = 288) 288 Find: Find: Zin, +, VSWR Solution: Solution: take the following steps on the S.C.Z L 300 1) normalize load impedance: zL ! ! !1 Z 0 300 2) locate the load point: here center o chart!Įxamples of Smith Chart UsageSolution: Solution: (Example A continued)3) + ! 0 and VSWR ! 1 for the matched condition (since radius = 0 on the polar plot w/r/to center) 4) zin ! zL on the + ! 0 circle for a rotation of 0.8P (! 576o ) CW toward the generator (or for any rotation angle here) since the line is matched! 5) Un-normalize: Z in ! zin v Z 0 ! (1)(300 ) ! 300 Įxamples of Smith Chart UsageExample B (conditions same as in TLS3) TLS3``R Given: Given: ZL = Rin``Rin = 300 `` 300 = 150 and Z0 = 300, U = Fl = 0.8P = 288 as before 288 Find: Find: Zin, +, VSWR Solution: Solution: take these steps on the chartZ L 150 1) normalize: zL ! ! ! 0.50 Z 0 300 2) locate point: rL ! 0.50 (directly le t o center)Įxamples of Smith Chart UsageSolution: Solution: (Example B continued)3) + ! 1 zL 1 0.5 1 1/ 2 ! ! ! 3 zL 1 0.5 1 3 / 2 1 + 1 + 1 1/ 3 4 / 3 ! !2 1 1/ 3 2 / 3 Normalized Input Impedance on the T-line Tj (J 2 F l ) 1 +e j 2 F l 1 + e 1 + where zin (0) ! ! ! z load position zin (l ) ! j 2F l j (J 2 F l ) 1 +e 1 + e 1 +ġ + ! z for m ! 0,1, 2. Moving Toward the Generator (or Load) on the Smith ChartUse Circular Band at Outer Edge of Chart: scales that indicate distance (in P)To go toward the generator, move CW To go toward the load, move CCW
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Key Reference Points on the Smith Chart* Center Point: matched condition (HOME) O Right Extreme: open circuit termination y Left Extreme: short circuit termination Plotting Points on the Smith ChartZero Reactance Line (Im < 0 (inductive susceptance)]Įssential (Key) Reference Points On The Smith Chart1) Center (z = r = 1): matched conditionAlso represents + = 0 and VSWR = 1 Becomes the destination (objective) for impedance matching problems (HOME !)Ģ) Right Extreme (z = r = g): open circuitAlso + = 10 and VSWR = g An open circuited stub has Zin that begins hereĮssential (Key) Reference Points On The Smith Chart3) Left Extreme (z = r = 0): short circuit Also + = 1180 and VSWR = gA short circuited stub has Zin that begins here Plotting Points on the Smith ChartDefine Normalized Impedance Z L RL jX L ! | rL jxL zL | Z0 Z0 Reflection Coefficient in terms of zL Z L Z 0 1/ Z 0 zL 1 +! ! Z L Z 0 1/ Z 0 zL 1 Note: this keeps values w/in range on S.C.
Double stub matching using smith chart ppt how to#
Outline of Lecture on Smith ChartBasic layout: shows what curves represent Learn where to plot points: complex impedance (or admittance) Identify key reference points Find out how to move along the line Work examples of Smith Chart usage Solve impedance Matching Problems Draw Conclusionsīasic Layout of the Smith ChartWithin a circle of constant unit radius (`+`=1), graph explicitly shows a family of `+`=1), graphCircles of constant resistance Curves of constant reactanceĪ polar coordinate graph of + = `+`ejJ `+`e exists w/r/to the center of the chart that may be evaluated for `+` e 1 along with VSWR u 1 on scales beneath the chart
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Practice using the Smith Chart to find +, VSWR, Zin, and do T-line matching T. Requirements for Understanding the Smith ChartHave basic orientation to T-lines TConcepts (generator, load, matching, etc.) Parameters (Z0, Zin, +, P, VSWR, Y=1/Z, etc.)īecome familiar with some unique aspectsWhat curves on the graph represent How to show Z or Y and move along the line LaborLabor-saving: facilitates complex number calculations without losing too much accuracy Serves as a valuable tool for visualizing key aspects of T-line systems as they depend on Tfrequency or position along the line
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Electromagnetics (ENGR 367) 367)The Smith Chart: A Graphical Method for T-lines T-Īdvantages of Knowing the Smith ChartPopularity: one of most widely used graphical methods for T-line analysis & design Tas an aid in a pencil & paper approach for display by measurement and CAD tools