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Transcript
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
Designing a Power Supply Lab
Introduction:
In the power supply we will have 120 Vrms with a margin of 5% as our input with a frequency of
60 Hz and we will have to design a power supply with a DC output voltage VO =VL of -15 + 0.5 V and -15 –
0.5 V. The Regulator should have an input of VC = -24 V. The Ripple voltage Vr is going to be at max = 15%
of VC and the load Resistor RL should dissipate 1 W of power.
The design I have to do in this lab is “D”
Requirement
Design A
Design B
Design C
Design D
DC output voltage, VO = VL
Nominal DC voltage at
regulator input, VC
+5 ± 0.5 V
-5 ± 0.5 V
+15 ± 0.5 V
-15 ± 0.5 V
+12 V
-12 V
+24 V
-24 V
Ripple voltage at regulator input, Vr
Maximum 15% of VC with rated load resistance
attached
Rated load resistance, RL
Choose RL to dissipate approximately 1 watt
AC Input Voltage, Frequency
120 V RMS ± 5%, 60 Hz
Circuit Design and Reasoning:
i.
Schematics of the unregulated power supply:-
Figure1. Power transformers simple diagram
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
Measured Voltages across nodes:
V(AB) = 10 V

V(BC) = 10 V

V(AC) = 20.5 V
We used the DMM to calculate the node voltages.
Reasoning for that type of rectifier:
This is circuit design D was assigned to our group. We used a full bridge rectifier because
we need a -24 V as output where a center tapped can’t get above 10 V. This is the reason for the
full 2 diodes to get the desired voltage. In addition, we found the measurement to be Vs = 20.5
V.
We were supposed to get negative voltage so we flipped the diodes to get the desired
voltage and the capacitor was ceramic without polarity. We used IN4004 Diodes in our circuit.
From the data we gathered it’s more preferable to use an IC chip Regulator because it gave us a
lower ripple voltage than the zener diode the output was almost constant.
i.
Schematics of the voltage regulator:-
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
Figure2. Zener Diode Shunt Regulator
We used the Zener Diode in this circuit to get the desired voltage to be almost constant
while operating in the breakdown voltage. We used one 8.2 V and one 6.8 V to get the desired
voltage of 15 V as our output.
Figure4. 3 pin IC regulator
In this figure 4, the IC regulator chip is used to design the voltage regulator by using 3
pin MC7915 chip and two filtering capacitors.
Supporting Analysis:
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
i.
Model Transformer
Figure that is shown in the previous page is exactly same as figure 1.
Measured Voltages across nodes:
V(AB) = 10 V

V(BC) = 10 V

V(AC) = 20.5 V
PIV for rectifier & choose diode:- PIV = 2(Vs) – Vd  = 2(20.5) – 1 = 40 V
Resistor and filter capacitor:Resistor
Because of limited resources in the lab and stock room, we were told to use a 620ohm, 5-Watt
resistor
Capacitor
Vm= -27.6 V
Vr= (15% of Vc)  Vr = 0.15 * -24 = -3.6V
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
𝐶=
ii.
𝑉𝑚
2𝑓𝑉𝑟 𝑅𝐿
 C = 103 µF
Maximum diode current:-
𝑖𝐷𝑚𝑎𝑥 =
𝑉𝑚
𝑅𝐿
𝑉
(1 + 2𝜋√2𝑉𝑚 )  𝑖𝐷𝑚𝑎𝑥 =
𝑟
−27.6
620
(1 + 2𝜋√
−27.6
2(−3.6)
)
𝑖𝐷𝑚𝑎𝑥 = −0.592 A = -592 mA
iii.
Multisim Simulation of diode current:-
iv.
Regulators parameters: IZmin, IZmax, Ri, RL:We can find IZmax when there is no load resistance connected to the circuit. In addition, we
can find IZmin which 30% of IZmax and can be found when load resistance is connected.
𝑖𝑍𝑚𝑎𝑥 =
𝑃𝑍
𝑉𝑍
 𝑖𝑍𝑚𝑎𝑥 =
0.5𝑊
8.2𝑉
 𝑖𝑍𝑚𝑎𝑥 = 60.9 𝑚𝐴
𝑖𝑍𝑚𝑖𝑛 = 30% ∗ 𝑖𝑍𝑚𝑎𝑥  𝑖𝑍𝑚𝑖𝑛 = 18.27𝑚𝐴
𝑅𝑖 = |
𝑅𝐿 =
𝑉𝐶 − 𝑉𝑍
𝑖𝑍𝑚𝑎𝑥
|  𝑅𝑖 = |
𝑉𝑍
𝑖𝑍𝑚𝑎𝑥 − 𝑖𝑍𝑚𝑖𝑛
−25.9𝑉 −(−8.2)𝑉
−60.9𝑚𝐴
 𝑅𝐿 =
−8.2 𝑉
−42.63𝑚𝐴
|  𝑅𝑖 = 290.6 Ω
 𝑅𝐿 = 192 Ω
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
I.
Data:-
i.
Transformer open circuit voltages and Rw:- 4.601 Ω
Measured Voltages across nodes:
V(AB) = 10 V

V(BC) = 10 V

V(AC) = 20.5 V
Winding resistance
𝑉𝑜 = 𝑉𝐼 ∗
ii.
𝑅𝑡𝑒𝑠𝑡
𝑅𝑡𝑒𝑠𝑡 +2𝑅𝑤
 2𝑅𝑤 =
𝑉𝐼𝑅𝑡𝑒𝑠𝑡
𝑉𝑜
− 𝑅𝑡𝑒𝑠𝑡  𝑅𝑤 = 4.601Ω
Plot Rectifier input & output:*All the plots are attached at the end of this report.
iii.
Calculate & compare regulations with IC voltage reg:
Zener Diode Shunt Regulator

VL(w/o load) = 15.1V

VL(w/ load) = 10.85V
% Regulation =
𝑉𝐿 (𝑁𝑜 𝑙𝑜𝑎𝑑)−𝑉𝐿 (𝐹𝑢𝑙𝑙 𝑙𝑜𝑎𝑑)
𝑉𝐿
IC Voltage Regulator

VL(w/o load) = -15V

VL(w/ load) = -15V
∗ 100%  % Regulation =28%
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
% Regulation =
𝑉𝐿 (𝑁𝑜 𝑙𝑜𝑎𝑑)−𝑉𝐿 (𝐹𝑢𝑙𝑙 𝑙𝑜𝑎𝑑)
𝑉𝐿
∗ 100%  % Regulation = 0 %
We concluded that IC regulator gave us perfect regulation without ripple. I would use the
IC chip Regulator instead of the Zener because the ripples can’t be seen also the % Regulation is
0 which is even better than the Zener to regulate the Voltage.
iv.
Power dissipations & margins:For the diode
* Vγ = 0.7 V
*𝑖𝐷𝑚𝑎𝑥 (𝐴𝑐𝑡𝑢𝑎𝑙) = 750𝑚𝐴
For each diode  P = IV = (0.7V)(750mA) = 0.525 W
For the Winding resistance
PRW = I2Rw  PRW = (
20.5 2
) (4.6Ω) =5.03mW
620
For the resistance test
PR\test = V2 / Rtest  PR\test =
(20.5)2
620
= 1.09 W
For zener regulator
𝑃𝑅𝑖 =
𝑃𝑅𝐿 =
(𝑉𝐶 − 𝑉𝑍 )2
𝑅𝑖
(𝑉𝑧 )2
𝐼𝐿
 𝑃𝑅𝑖 =
 𝑃𝑅𝐿 =
(−25.9−(−8.2))2
290.6 Ω
(14.7)2 𝑉
620Ω
 𝑃𝑅𝑖 = 1.08𝑊
 𝑃𝑅𝐿 = 0.349𝑊
𝑃𝑧,𝑛𝑜 𝑙𝑜𝑎𝑑 = 𝑖𝑧𝑚𝑎𝑥 ∗ 𝑉𝑍  𝑃𝑧,𝑛𝑜 𝑙𝑜𝑎𝑑 = (0.03𝐴)2 (8.2V) = 7.38mW
𝑃𝑧,𝑤𝑖𝑡ℎ 𝑙𝑜𝑎𝑑 = 𝑖𝑧𝑚𝑖𝑛 ∗ 𝑉𝑍  𝑃𝑧,𝑤𝑖𝑡ℎ 𝑙𝑜𝑎𝑑 = (0.01𝐴)2 (8.2V) = .82mW
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
For IC regulator
We used capacitor in the the circuit to shift the phase and to attain the noise.
𝑃𝑅𝐿 =
II.
(𝑉𝐿 )2
 𝑃𝑅𝐿 =
𝑅𝐿
152 𝑉
620Ω
 𝑃𝑅𝐿 = 0.363𝑊
i.
Discussion:Power Considerations:In the designing process we did our calculation for 1 watt power dissipation but in actual we
used a 5 watt power dissipation values for safety reasons. Due to rounding and using different
values than the nominal values we got almost the desired power.
ii.
Error Calculations and reasons:The calculation errors are due to rounding and using different values from the nominal
values. Also we used resistor values for what we had in the stock room. We did have
some trouble with a few of our values, but this could be due to a number of things. These
could include human error, incorrect resistor values, or a number of alternative
deficiencies.
%Error = |
𝐶𝑎𝑙𝑐𝑢𝑙𝑎𝑡𝑒𝑑 𝑣𝑎𝑙𝑢𝑒− 𝑁𝑜𝑚𝑖𝑛𝑎𝑙 𝑣𝑎𝑙𝑢𝑒
𝑁𝑜𝑚𝑖𝑛𝑎𝑙 𝑉𝑎𝑙𝑢𝑒
|*100%
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
iii.
Comparison of outputs:-
With Load
Requirement
Without Load
Design D
Zener
IC
Zener
IC
DC output voltage, VO = VL
-15 ± 0.5 V
-15.1V
-15V
-10.85V
-15V
Nominal DC voltage at regulator input, VC
-24 V
-25.9V
-25.9V
-25.9V
-25.9V
III.
Summary and Conclusion:-
Our design was calling for a -24 V of output while keeping the output constant regardless of
sudden changes. We used a transformer to supply the power and then used the rectifier to filter
out the desired range of output whether positive or negative. Our design needed the full bridge
rectifier in order to attain the -24 V. Following we needed the voltage to be steady so we used a
capacitor filter to get the voltage to charge when there is voltage as input and discharge when the
voltage input cut’s out. Also we needed a voltage regulator and the best regulator was the IC chip
which has the same output regardless of R(load). In conclusion, we need all these elements in order
to get a power supply with almost constant output of DC voltage.
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4
Kevin Brennan
EE 310 Section 6
Formal Lab 3&4