report analog circuit design ii

Character L circuit The impedance distribution circuit L has 4 forms as shown below: Figure 1.1: 4 types of impedance matching circuits L In which, there are two cases to consider: <

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Hanoi University of Science and Technology

School of Electrical and Electronics Engineering

REPORT

ANALOG CIRCUIT DESIGN II

Student: Do Nhat Hoang 20193219

Class: Advanced of Electronic Engineering K64Instructor: Dr Nguyen Nam Phong

Hanoi, 03/2022

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PART 1 CHARACTER L, PI AND T CIRCUITS DESIGN

1.1 Character L circuit

The impedance distribution circuit L has 4 forms as shown below:

Figure 1.1: 4 types of impedance matching circuits L

In which, there are two cases to consider: < 𝑅𝐿 and > 𝑅𝐿 Down here is the circuit structure for the two cases, with is the series reactance, is parallel reactance:

Figure 1.2: Circuit structure with RS < RL

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Figure 1.3: Circuit structure with RS > RL

1.1.1: ( C ) Circuit

Consider a high-pass L circuit with RS < RL:

Figure 1.4: High-pass L circuit with RS < RL

Consider the circuit with series reactance C and parallel reactance L:

That

So that we have:

Also have:

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1.1.2 ( B) Circuit

Consider a low-pass L circuit with RS > RL:

Figure 1.5: Low-pass L circuit with RS > RL

Consider a circuit with series reactance L and parallel reactance C: We have:

Performing the same transformation as circuit C, we get:

1.1.3 ( D) Circuit

Consider high-pass L circuit with RS > RL:

Figure 1.6: High-pass L circuit with RS > RL

We have:

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Similar to the case of circuit B, we have:

1.2 Pi Circuit

Figure 2.1: General Pi circuit

The Pi circuit can be described as two "opposed" L circuits, both of which are configurable to match the load and source with an invisible or “virtual” resistor located at the junction between the two networks

Figure 2.2: Pi circuit is equivalent to two opposing L circuits, with phantom resistance in between

Q value of Pi circuit:

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1.3 Circuit of the letter T:

Figure 3.2: General T circuit

Circuit T can be described as two series L circuits used to connect the load and source with a virtual resistor RV placed at the junction between two networks L RV must be chosen greater than both and since it is connected connected to the shunt pin of each part of the L circuit

Figure 3.2: The T-circuit is the form of two L-circuits in series

The Q value of T circuit:

From the result of circuit L, we have:

We also have:

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From this we can determine the corresponding reactance values

T-circuits can be divided into two basic types: low-pass circuits and high-pass circuits

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2.1 Circuit classification

Does not need to control bandwidth

Need to control bandwidth Q value gains from

calculation with given reactance

Can choose the Q value Virtual resistance in

circuit Pi must be smaller resistance on the source

and load

Virtual resistance in circuit T must be larger resistance on the source

and load

2.2 Advantage and disadvantage of each circuit

in low pass filter

The circuit can change to L circuit by setting a capacitor equal to 0 Therefore it is very flexible

- Good at high pass filter - May be used

for band with the suitable value of L and C

bandwidth - Hard to create

capacitor and inductor to work at microwave frequency

- Require complex algorithm to design automatic impedance matching

- High cost due to having more components than L circuit

13 References

[1] Behzad Razavi (2011) RF Microelectronics, 2nd Edition, Pearson [2] Metin Şengül, Gökmen Yeşilyurt (2017) “Real frequency design of Pi and T matching networks with complex terminations”, 2017 10th International Conference on Electrical and Electronics Engineering (ELECO)

[3]A.R., A K., Singh, S G., & Dutta, A (2018) “Analytical design technique for real- -real single- and dual-frequency impedance tomatching networks in lossy passive environment”, IET Microwaves, Antennas & Propagation, 12(6), 1013–1020

doi:10.1049/iet฀map.2017.078