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HOMEWORK #1 Design library/tutorial will be provided separately 1. Simulate (cadence or PSpice) the I-V curves of a 60000um/0.6um PMOS used in an LDO. Extract the following answers from the simulation or analytical calculation: a. For a given output voltage of 3V, what is the relationship between dropout voltage and load current? b. For a given output voltage of 1.5V, what is the relationship between dropout voltage and load current? c. What is the maximum load current if Vin=4V, Vout=3V? 2. For the above pass transistor, construct and add an error amplifier similar to that shown in slide #18 of LDO-AC Performance. Assume, Co=4.7uF, Cb=0.47uF, Vin=4V, Vout=3V, Vref=1V. Load=50mA. Study the range of Resr that provides the best phase margin. Plot a number of loop gain (for each Resr) bode plots to prove your work. Indicate on the final bode plot where is P1, P2, P3 and Z1. 3. Simulate a load transient response to LDO’s output. Assume a load current waveform as follow. Plot the output voltage waveform. 10ns 1ms 10ns 10μA 30mA Iload 10μA

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Page 1: PMIC HOMEWORK

HOMEWORK #1

Design library/tutorial will be provided separately

1. Simulate (cadence or PSpice) the I-V curves of a 60000um/0.6um PMOS used in an LDO. Extract the following answers from the simulation or analytical calculation:

a. For a given output voltage of 3V, what is the relationship between dropout

voltage and load current? b. For a given output voltage of 1.5V, what is the relationship between dropout

voltage and load current? c. What is the maximum load current if Vin=4V, Vout=3V?

2. For the above pass transistor, construct and add an error amplifier similar to that shown in slide #18 of LDO-AC Performance. Assume, Co=4.7uF, Cb=0.47uF, Vin=4V, Vout=3V, Vref=1V. Load=50mA. Study the range of Resr that provides the best phase margin. Plot a number of loop gain (for each Resr) bode plots to prove your work. Indicate on the final bode plot where is P1, P2, P3 and Z1.

3. Simulate a load transient response to LDO’s output. Assume a load current waveform as follow. Plot the output voltage waveform.

10ns 1ms 10ns

10μA

30mA

Iload10μA

Page 2: PMIC HOMEWORK
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Circuit 1.)
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1. Solution: The following circuit is designed and a number of responses (bode plots) are obtained for a sweep in Load current. For the initial circuit design, a voltage controlled voltage source is used (VCVS). Later the circuit is modified again using the error amplifier designed later in question number 2.
Page 3: PMIC HOMEWORK

I vs Vds Plots for Vgs= 1V, 2V, 3V & 4 V.

Page 4: PMIC HOMEWORK
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Part a.) Drop out voltage (V) as a function of load current. For an output of 3V.
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Part b.) Drop out voltage (V) as a function of load current. For an output of 1.5 V.
Page 6: PMIC HOMEWORK
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Part c.) Output Volatage (V) as a function of load current. The circuit enters the dropout region at a load current of 5.8A
Page 7: PMIC HOMEWORK
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Modified Circuit using error amplifier of question 2.
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Graph for the above circuit are:
Page 8: PMIC HOMEWORK

Name

M5: 5.93237A 1.025502V

M4: 5.834393A 2.984392VM3: 680.7692mA 2.999647V

M2: 1.104A 1.000442V

/Vout ...")-v("/Vout" ?result "dc")

1

4

0

3V

(V

) 2

dc (A)0.0 5.02.5 7.5 10.0

DC Response

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Output Voltage of 3V for different load currents
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Droupout Voltage (for 3V output voltage) at different load currents.
Page 9: PMIC HOMEWORK

Name

M7: 9.724A 2.513606V

M8: 9.7A 1.488667V

M6: 357.1429mA 2.499828V

M10: 385.7143mA 1.500172V

/Vout ...")-v("/Vout" ?result "dc")

V (

V)

3

1

-1

4

0

2

0.0 2.5 5.0 12.5dc (A)

7.5 15.010.0

DC Response

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Output Voltage of 1.5V for different load currents
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Droupout Voltage (for 1.5V output voltage) at different load currents.
Page 10: PMIC HOMEWORK
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Question 2.) Circuit:
Page 11: PMIC HOMEWORK

Phase margin is shifted by 180 degs duw to the Iprobe used

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ESR values are swept from 1 to 1000mohms. Bode plots and phase margin plots are obtained:
Page 12: PMIC HOMEWORK

Phase margin is shifted by 180 degs duw to the Iprobe used

Page 13: PMIC HOMEWORK

100.0LO

OPG

AIN

(dB

)

-100.0

-50.0

0.0

-150.0

-200.0

-250.0

50.0

107

10-2

105

100

101

109

10-3

1010

106

103

102

10-1

104

freq (Hz)10

8

Loop...dB20

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With the range of ESRs obtained, a region with maximum phase margin is observed and simulations are repeated with a narrower range.
Page 14: PMIC HOMEWORK

Name

M4: 376.4936m 49.08149Deg

Phase Margin 50.0

-10.0

30.0

40.0

10.0

20.0

0.0

Deg

(D

eg)

1.00.0Resr

.8.2 .4 .6

Phase Margin

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ESR for Maximum phase margin
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Phase margin is shifted by 180 degs duw to the Iprobe used

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For narrow ranges :
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Name

M3: 367.53904m 49.114859Deg

Phase Margin

49

45

46

50

Deg

(D

eg)

48

44

47

400.0250.0 350.0300.0 500.0Resr (m)

450.0

Stability Response

Page 17: PMIC HOMEWORK

M12: 588.8437kHz 33.11013deg

M9: 82.1686Hz 152.2898degM11: 128.1422kHz 45.86536deg

M10: 7.720959kHz 44.36189deg

Loop Gain Phase

-400.0

LOO

PGA

IN (

deg)

0.0

-500.0

100.0

-300.0

-100.0

-200.0

200.0

M8: 504.5929kHz -6.551269dB

M1: 91.52473Hz 86.56511dB

M7: 124.1989kHz 8.537669dB

M6: 7.696643kHz 50.24965dB Loop Gain dB20

-50.0

LOO

PGA

IN (

dB)

-250.0

-150.0

100.0

0.0

-100.0

50.0

-200.0

Name

10-2

10-1

101

106

100

102

105

freq (Hz)10

810

1010

-310

410

910

310

7

Stability Response

Pole 2

Zero 1

Pole 3

Pole 1

Phase margin is shifted by 180 degs duw to the Iprobe used

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Poles and zeros
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Question 3.) Circuit:
Page 19: PMIC HOMEWORK

M4: 2.9806017ms 3.0032031VM5: 153.4956us 3.0031704V

M3: 505.70162us 2.968434V

M1: 510.2444us 3.0062121V

M2: 1.5002884ms 3.0111647V

/Vout /I1/PLUS

35.0

25.0

30.0

-5.0

10.0

15.0

20.0

5.0

I (m

A)

0.0

2.98

2.97

V (

V)

3.01

2.96

3.0

2.99

3.02Name Vis

1 2 4time (ms)

0 3 5

Transient Response

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Transient response for a change in load
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Output Load Current
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Output Voltage