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ELE 448 - Microwave Techniques

Laboratory - II

Laboratory Project

Design of Wilkinson Power Divider with CST and

AWR

Part I - Design

Group Members:

Adil TANRIKULU

Ömer Faruk SARIYER

Özgür Ediz AVCI

1

CONTENTS A) CONTENTS ……………………………………………………....…………………….…………1

B) FORMULAS FOR MICROSTRIP………………………………………………….………..1

C) ABSTRACT ………………………………………………………………………..………………2

D) SOLUTIONS FOR QUESTIONS …………………………………………….….……….….2

3)Microstrip transmission line ………………………………………………….……………..…...2

4)Summary…………………………………………………………..……………………...……...6

5)Design by given values……………….…………………………………………………….…...7

E)LIST OF FIGURES……..…………………………………………...……………………….………8

F) REFERENCES…..……………………………………………………………………………..……8

B) FORMULAS FOR MICROSTRIP

FIGURE 1

2

C)ABSTRACT

The Wilkinson power divider is the most popular power divider designs.[1]

Because of this, our group is chose this design project and it’s about to design a microstrip

microwave circuit at a given frequency. For the first part of the project, some concepts are

researched.

D) SOLUTIONS FOR QUESTIONS

3

4

If we compare the results of using a commercial calculators (compared with 2

different calculators);

FIGURE 2

FIGURE 3

5

4)SUMMARY

For our design, we will need the microstrip design formulas. Thickness is the same for all substrate,

so width of the conductor will be calculated according to the impedance specifications. Since the

impedance value and the substrate are selected according to the design by us, we only need the

formulas for width. Needed microstrip line design formulas are described below [7]:

𝑊

𝑑=

{

8𝑒𝐴

𝑒2𝐴 − 2 𝑓𝑜𝑟

𝑊

𝑑< 2

2

𝜋[𝐵 − 1 − ln(2𝐵 − 1) +

∈𝑟− 1

2 ∈𝑟{ln(𝐵 − 1) + 0.39 −

0.61

∈𝑟}] 𝑓𝑜𝑟

𝑊

𝑑> 2

𝐴 =𝑍060√∈𝑟+ 1

2+∈𝑟− 1

∈𝑟+ 1(0.23 +

0.11

∈𝑟)

𝐵 =377𝜋

2𝑍0√∈𝑟

∈𝑒=∈𝑟+ 1

2+∈𝑟− 1

2

1

√1 + 12𝑑 𝑊⁄

6

7

E)LIST OF FIGURES

Figure 1: Formulas for microstrip. ............................................................................................. 1

Figure 2: The result of the first calculator [5]. ........................................................................... 5

Figure 3: Result of the second calculator [6]. ............................................................................ 5

F) REFERENCES

1.https://www.ittc.ku.edu/~jstiles/723/handouts/section_7_3_The_Wilkinson_Power_Divider_pa

ckage.pdf

2. http://rezonit.ru/support/technology/hfq/index.files/RO4000.pdf

3. http://rezonit.ru/support/technology/hfq/index.files/RO4000.pdf

4. http://www.navipedia.net/index.php/GPS_Signal_Plan

5. http://www1.sphere.ne.jp/i-lab/ilab/tool/ms_line_e.htm

6.http://www.emtalk.com/mscalc.php?er=3.55&h=1.5&h_units_list=hmm&f=1.575&Zo=50&E

L=90&Operation=Synthesize&Wa=&W_units_list=Wmm&La=&L_units_list=Lmm

7. Pozar, D.M., 2009, Microwave Engineering, John Wiley & Sons.

8. https://en.wikipedia.org/wiki/FR-4

9. https://www.plasticsintl.com/datasheets/Phenolic_G10_FR4.pdf