The document describes the components and operation of a constant voltage transformer (CVT). A CVT uses a ferroresonant circuit including an inductor, capacitor, and saturable transformer to regulate the output voltage against variations in input voltage, frequency, and load. It provides a constant output voltage through the saturating and limiting action of the saturable transformer. The output is a square wave suitable for rectifier applications. Design equations provided calculate component values, winding turns and sizes, losses, and other parameters for a CVT given specific voltage, power, and frequency specifications.
Project on Transformer Design | Electrical Machine DesignJikrul Sayeed
Transformer Design | Core Design | Full Design | EE 3220 Electrical Machine Design
EE-3220
Core Design
Window Dimensions
Yoke Design
Overall Dimensions of Frame
Low Voltage Winding
High Voltage Winding
Resistance
Leakage Reactance
Regulation
Losses
Core Loss
Efficiency
No Load Current
Tank
Project on Transformer Design
Modeling and Testing of Induction MotorsBirju Besra
Induction motor is an energy conversion device that converts electrical energy into useful rotational kinetic energy, it is an application of the Faraday's law of induction.AC Motors are required in many modern adjustable-speed drives; the requirement is for precise and continuous control of speed and torque with long-term stability and high efficiency. The DC motor satisfies most of these requirements, but its mechanical commutator and the sparking are disadvantages because they may be dangerous in some areas of applications, plus regular maintenance is required and cannot be done when the motor is used at inaccessible locations.
Transformer Design | Full Design | EE 3220 Electrical Machine Design
Design Approaches:-
At first, Core Design
then, Window Dimensions
then, Yoke Design
then, the Overall Dimensions of the Frame
then, Low Voltage Winding
then, High Voltage Winding
then, Resistance
then, Leakage Reactance
then, Regulation
then, Losses
then, Core Loss
then, Efficiency
then, No Load Current
then, Tank Design.
After following these design approaches, the parameters and regulations can be found for this design. If there needs some modification(like the regulation or loss is above the expectation limit), then by fixing one parameter the others can be changed and can be performed back-calculation.
Power System Analysis was a core subject for Electrical & Electronics Engineering, Based On Anna University Syllabus. The Whole Subject was there in this document.
Share with it ur friends & Follow me for more updates.!
An alternator is an electrical generator that converts mechanical energy to electrical energy in the form of alternating current. For reasons of cost and simplicity, most alternators use a rotating magnetic field with a stationary armature.
Generator and Transformer Protection (PART 1)Dr. Rohit Babu
Part 1. Generator Protection
Protection of generators against stator faults
Rotor faults and abnormal conditions
Restricted earth fault and inter-turn fault protection
Numerical examples
This paper introduces a new topology of multilevel inverter, which is able to operate at high performance. This proposed circuit achieves requirements of reduced number of switches, gate-drive circuits, and high design flexibility. In most cases fifteen-level inverters need at least twelve switches. The proposed topology has only ten switches. The inverter has a quasi-sine output voltage, which is formed by level generator and polarity changer to produce the desired voltage and current waveforms. The detailed operation of the proposed inverter is explained. The theoretical analysis and design procedure are given. Simulation results are presented to confirm the analytical approach of the proposed circuit. A 15-level and 31-level multilevel inverters were designed and tested at 50 Hz.
Project on Transformer Design | Electrical Machine DesignJikrul Sayeed
Transformer Design | Core Design | Full Design | EE 3220 Electrical Machine Design
EE-3220
Core Design
Window Dimensions
Yoke Design
Overall Dimensions of Frame
Low Voltage Winding
High Voltage Winding
Resistance
Leakage Reactance
Regulation
Losses
Core Loss
Efficiency
No Load Current
Tank
Project on Transformer Design
Modeling and Testing of Induction MotorsBirju Besra
Induction motor is an energy conversion device that converts electrical energy into useful rotational kinetic energy, it is an application of the Faraday's law of induction.AC Motors are required in many modern adjustable-speed drives; the requirement is for precise and continuous control of speed and torque with long-term stability and high efficiency. The DC motor satisfies most of these requirements, but its mechanical commutator and the sparking are disadvantages because they may be dangerous in some areas of applications, plus regular maintenance is required and cannot be done when the motor is used at inaccessible locations.
Transformer Design | Full Design | EE 3220 Electrical Machine Design
Design Approaches:-
At first, Core Design
then, Window Dimensions
then, Yoke Design
then, the Overall Dimensions of the Frame
then, Low Voltage Winding
then, High Voltage Winding
then, Resistance
then, Leakage Reactance
then, Regulation
then, Losses
then, Core Loss
then, Efficiency
then, No Load Current
then, Tank Design.
After following these design approaches, the parameters and regulations can be found for this design. If there needs some modification(like the regulation or loss is above the expectation limit), then by fixing one parameter the others can be changed and can be performed back-calculation.
Power System Analysis was a core subject for Electrical & Electronics Engineering, Based On Anna University Syllabus. The Whole Subject was there in this document.
Share with it ur friends & Follow me for more updates.!
An alternator is an electrical generator that converts mechanical energy to electrical energy in the form of alternating current. For reasons of cost and simplicity, most alternators use a rotating magnetic field with a stationary armature.
Generator and Transformer Protection (PART 1)Dr. Rohit Babu
Part 1. Generator Protection
Protection of generators against stator faults
Rotor faults and abnormal conditions
Restricted earth fault and inter-turn fault protection
Numerical examples
This paper introduces a new topology of multilevel inverter, which is able to operate at high performance. This proposed circuit achieves requirements of reduced number of switches, gate-drive circuits, and high design flexibility. In most cases fifteen-level inverters need at least twelve switches. The proposed topology has only ten switches. The inverter has a quasi-sine output voltage, which is formed by level generator and polarity changer to produce the desired voltage and current waveforms. The detailed operation of the proposed inverter is explained. The theoretical analysis and design procedure are given. Simulation results are presented to confirm the analytical approach of the proposed circuit. A 15-level and 31-level multilevel inverters were designed and tested at 50 Hz.
Simulated Analysis of Resonant Frequency Converter Using Different Tank Circu...IJERD Editor
LLC resonant frequency converter is basically a combo of series as well as parallel resonant ckt. For
LCC resonant converter it is associated with a disadvantage that, though it has two resonant frequencies, the
lower resonant frequency is in ZCS region [5]. For this application, we are not able to design the converter
working at this resonant frequency. LLC resonant converter existed for a very long time but because of
unknown characteristic of this converter it was used as a series resonant converter with basically a passive
(resistive) load. . Here, it was designed to operate in switching frequency higher than resonant frequency of the
series resonant tank of Lr and Cr converter acts very similar to Series Resonant Converter. The benefit of LLC
resonant converter is narrow switching frequency range with light load[6] . Basically, the control ckt plays a
very imp. role and hence 555 Timer used here provides a perfect square wave as the control ckt provides no
slew rate which makes the square wave really strong and impenetrable. The dead band circuit provides the
exclusive dead band in micro seconds so as to avoid the simultaneous firing of two pairs of IGBT’s where one
pair switches off and the other on for a slightest period of time. Hence, the isolator ckt here is associated with
each and every ckt used because it acts as a driver and an isolation to each of the IGBT is provided with one
exclusive transformer supply[3]. The IGBT’s are fired using the appropriate signal using the previous boards
and hence at last a high frequency rectifier ckt with a filtering capacitor is used to get an exact dc
waveform .The basic goal of this particular analysis is to observe the wave forms and characteristics of
converters with differently positioned passive elements in the form of tank circuits. The supported simulation
is done through PSIM 6.0 software tool
Modified Bidirectional Converter with Current Fed InverterIJPEDS-IAES
A bidirectional dc-dc converter with multiple outputs are concatenated with a
high frequency current source parallel resonant push pull inverter is
presented in this paper. The two outputs are added together and it is taken as
the input source for the inverter. The current source parallel resonant push
pull inverter implemented here with high frequency applications like
induction heating, Fluorescent lighting, Digital signal processing sonar. This
paper proposes a simple photovoltaic power system consists of a
bidirectional converter and a current fed inverter for regulating the load
variations. Solar power is used as the input source for the system. Simulation
of the proposed system is carried out in PSIM software and experimentally
verified the results.
Fuzzy Logic Controller Based High Frequency Link AC-AC Converter For Voltage ...IJTET Journal
Abstract—In this paper, an advanced high frequency link AC-AC Push-pull cycloconverter for the voltage compensation is proposed in order to maintain the power quality in electric grid. The proposed methodology can be achieve arbitrary output voltage without using large energy storage elements. So that the system is more steadfast and less costly compared with the conventional inverter topology. Additionally, the proposed converter does not contain any line frequency transformer, which reduces the cost further. The control scheme for the push pull cycloconverter employs the fuzzy logic controller based sinusoidal pulse width modulation (SPWM) to accomplish better performance on voltage compensation, like unbalanced voltage harmonics elimination. The simulation results are given to show the effectiveness of the proposed high frequency link AC-AC converter and fuzzy logic controller based SPWM technology
Soft Switched Multi-Output Flyback Converter with Voltage DoublerIJPEDS-IAES
A novel multi-output voltage doubler circuit with resonant switching
technique is proposed in this paper. The resonant topology in the primary
side of the flyback transformer switches the device either at zero voltage or
current thus optimizing the switching devices by mitigating the losses. The
voltage doubler circuit introduced in the load side increases the voltage by
twice the value thereby increasing the load power and density. The proposed
Multi-output Isolated Converter removes the need for mutiple SMPS units
for a particular application. This reduces the size and weight of the
converters considerably leading to a greater payload. This paper aims at
optimizing the proposed converter with some design changes. The results
obtained from the hardware prototype are given in a comprehensive manner
for a 3.5W converter operating at output voltages of 5V and 3.3V at 50 kHz
switching frequency. The converter output is regulated with the PI controller
designed with SG3523 IC. The effects of load and line regulation for ±20%
variations are analyzed in detail.
Diode Free T-Type Five Level Neutral Point Clamped Inverter for Low Voltage D...IJTET Journal
Abstract—The multilevel inverter is used as a solution to increase the inverter operating voltage above the voltage limits of classical semiconductors. A Diode Free T-Type Five Level NPC inverter for Low Voltage DC System is proposed in this paper. The T-Type inverter topology is more efficient and conventional than I-type inverter topology. Considerable suppression of the harmonic current is the ultimate goal of multilevel inverter. Losses like Semiconductor loss, conduction loss are mainly due to IGBT & diode in the current path. So the proposed system is designed with cool MOSFET without diode. The middle bidirectional switch is replaced by two pair of MOSFET. Hence the five level NPC inverter is more significant for low and medium power range DC source and for Renewable energy system.
Hardware Analysis of Resonant Frequency Converter Using Isolated Circuits And...IJERD Editor
-LLC resonant frequency converter is basically a combo of series as well as parallel resonant ckt. For
LCC resonant converter it is associated with a disadvantage that, though it has two resonant frequencies, the
lower resonant frequency is in ZCS region[5]. For this application, we are not able to design the converter
working at this resonant frequency. LLC resonant converter existed for a very long time but because of
unknown characteristic of this converter it was used as a series resonant converter with basically a passive
(resistive) load. . Here, it was designed to operate in switching frequency higher than resonant frequency of the
series resonant tank of Lr and Cr converter acts very similar to Series Resonant Converter. The benefit of LLC
resonant converter is narrow switching frequency range with light load[6] . Basically, the control ckt plays a
very imp. role and hence 555 Timer used here provides a perfect square wave as the control ckt provides no
slew rate which makes the square wave really strong and impenetrable. The dead band circuit provides the
exclusive dead band in micro seconds so as to avoid the simultaneous firing of two pairs of IGBT’s where one
pair switches off and the other on for a slightest period of time. Hence, the isolator ckt here is associated with
each and every ckt used because it acts as a driver and an isolation to each of the IGBT is provided with one
exclusive transformer supply[3]. The IGBT’s are fired using the appropriate signal using the previous boards
and hence at last a high frequency rectifier ckt with a filtering capacitor is used to get an exact dc
waveform .The basic goal of this particular analysis is to observe the wave forms and characteristics of
converters with differently positioned passive elements in the form of tank circuits.
Understanding Inductive Bias in Machine LearningSUTEJAS
This presentation explores the concept of inductive bias in machine learning. It explains how algorithms come with built-in assumptions and preferences that guide the learning process. You'll learn about the different types of inductive bias and how they can impact the performance and generalizability of machine learning models.
The presentation also covers the positive and negative aspects of inductive bias, along with strategies for mitigating potential drawbacks. We'll explore examples of how bias manifests in algorithms like neural networks and decision trees.
By understanding inductive bias, you can gain valuable insights into how machine learning models work and make informed decisions when building and deploying them.
The Internet of Things (IoT) is a revolutionary concept that connects everyday objects and devices to the internet, enabling them to communicate, collect, and exchange data. Imagine a world where your refrigerator notifies you when you’re running low on groceries, or streetlights adjust their brightness based on traffic patterns – that’s the power of IoT. In essence, IoT transforms ordinary objects into smart, interconnected devices, creating a network of endless possibilities.
Here is a blog on the role of electrical and electronics engineers in IOT. Let's dig in!!!!
For more such content visit: https://nttftrg.com/
Immunizing Image Classifiers Against Localized Adversary Attacksgerogepatton
This paper addresses the vulnerability of deep learning models, particularly convolutional neural networks
(CNN)s, to adversarial attacks and presents a proactive training technique designed to counter them. We
introduce a novel volumization algorithm, which transforms 2D images into 3D volumetric representations.
When combined with 3D convolution and deep curriculum learning optimization (CLO), itsignificantly improves
the immunity of models against localized universal attacks by up to 40%. We evaluate our proposed approach
using contemporary CNN architectures and the modified Canadian Institute for Advanced Research (CIFAR-10
and CIFAR-100) and ImageNet Large Scale Visual Recognition Challenge (ILSVRC12) datasets, showcasing
accuracy improvements over previous techniques. The results indicate that the combination of the volumetric
input and curriculum learning holds significant promise for mitigating adversarial attacks without necessitating
adversary training.
Industrial Training at Shahjalal Fertilizer Company Limited (SFCL)MdTanvirMahtab2
This presentation is about the working procedure of Shahjalal Fertilizer Company Limited (SFCL). A Govt. owned Company of Bangladesh Chemical Industries Corporation under Ministry of Industries.
NO1 Uk best vashikaran specialist in delhi vashikaran baba near me online vas...Amil Baba Dawood bangali
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Hierarchical Digital Twin of a Naval Power SystemKerry Sado
A hierarchical digital twin of a Naval DC power system has been developed and experimentally verified. Similar to other state-of-the-art digital twins, this technology creates a digital replica of the physical system executed in real-time or faster, which can modify hardware controls. However, its advantage stems from distributing computational efforts by utilizing a hierarchical structure composed of lower-level digital twin blocks and a higher-level system digital twin. Each digital twin block is associated with a physical subsystem of the hardware and communicates with a singular system digital twin, which creates a system-level response. By extracting information from each level of the hierarchy, power system controls of the hardware were reconfigured autonomously. This hierarchical digital twin development offers several advantages over other digital twins, particularly in the field of naval power systems. The hierarchical structure allows for greater computational efficiency and scalability while the ability to autonomously reconfigure hardware controls offers increased flexibility and responsiveness. The hierarchical decomposition and models utilized were well aligned with the physical twin, as indicated by the maximum deviations between the developed digital twin hierarchy and the hardware.
Saudi Arabia stands as a titan in the global energy landscape, renowned for its abundant oil and gas resources. It's the largest exporter of petroleum and holds some of the world's most significant reserves. Let's delve into the top 10 oil and gas projects shaping Saudi Arabia's energy future in 2024.
Cosmetic shop management system project report.pdfKamal Acharya
Buying new cosmetic products is difficult. It can even be scary for those who have sensitive skin and are prone to skin trouble. The information needed to alleviate this problem is on the back of each product, but it's thought to interpret those ingredient lists unless you have a background in chemistry.
Instead of buying and hoping for the best, we can use data science to help us predict which products may be good fits for us. It includes various function programs to do the above mentioned tasks.
Data file handling has been effectively used in the program.
The automated cosmetic shop management system should deal with the automation of general workflow and administration process of the shop. The main processes of the system focus on customer's request where the system is able to search the most appropriate products and deliver it to the customers. It should help the employees to quickly identify the list of cosmetic product that have reached the minimum quantity and also keep a track of expired date for each cosmetic product. It should help the employees to find the rack number in which the product is placed.It is also Faster and more efficient way.
Forklift Classes Overview by Intella PartsIntella Parts
Discover the different forklift classes and their specific applications. Learn how to choose the right forklift for your needs to ensure safety, efficiency, and compliance in your operations.
For more technical information, visit our website https://intellaparts.com
1. CONSTANT VOLTAGE TRANSFORMER (CVT)
Introduction
Constant voltage transformer (CVT) has wide application, particularly where reliability
and inherent regulating ability against line voltage changes are of prime importance. The
output of a constant-voltage transformer is essentially a square wave, which is desirable for
rectifier output applications while, also having good circuit characteristics. The main
disadvantage to a constant-voltage transformer is efficiency and regulation for frequency and
load.
The basic two-component (CVT) Ferro-resonant regulator is shown in Figure 1. The
inductor, L1, is a linear inductor and is in series with Cl across the input line. The voltage across
capacitor, Cl, would be considerably greater than the line voltage, because of the resonant condition
between L1 and Cl.
Figure 1 Two Component Ferroresonant Voltage Stabilizer.
The voltage, Vp can be limited to a predetermined amplitude by using a self-saturating
transformer, Tl which has high impedance, until a certain level of flux density is reached. At that
flux density, the transformer saturates and becomes a low impedance path, which prevents further
voltage buildup across the capacitor. This limiting action produces a voltage waveform that has a
fairly flat top characteristic as shown in Figure 2 on each half-cycle.
Figure 2 Primary voltage waveform of a CVT.
2. Electrical Parameters of a CVT Line Regulator
When the constant voltage transformer is operating as a line regulator, the output voltage
will vary as a function of the input voltage, as shown in Figure 3. The magnetic material used to
design transformer, Tl, has an impact on line regulation. Transformers designed with a square B-
H loop will result in better line regulation. If the output of the line regulator is subjected to a load
power factor (lagging) with less than unity, the output will change, as shown in Figure 4.
Figure 3 Output Voltage Variation as a function of input voltage.
Figure 4 Output voltage variation as a function of load power factor.
If the constant voltage transformer is subjected to a line voltage frequency change the
output voltage will vary, as shown in Figure 5. Capability for handling short circuit is an inherent
feature of a constant-voltage transformer. The short-circuit current is limited and set by the series
inductance L. The regulation characteristics at various lines and loads are shown in Figure 6. It
3. should be noted that a dead short, corresponding to zero output voltage, does not greatly increase
the load current; whereas for most transformers, this dead short would be destructive.
Figure 5 Output voltage variation as a function of line frequency change.
Figure 6 Output voltage variation as a function of output voltage vs. load.
Constant Voltage Transformer, Design Equations
Proper operation and power capacity of a constant-voltage transformer (CVT) depends on
components, L1 and Cl, as shown in Figure 7. Experience has shown that the, LC, relationship is:
5.12
LC (1)
2
)(0 RR
L (2)
)(033.0
1
RR
C
(3)
4. Figure 7 Basic constant voltage circuit.
Referring to Figure 11-7, assume there is a sinusoidal input voltage, an ideal input inductor,
L1, and a series capacitor, Cl. RO(R), is the reflected resistance back to the primary, including
efficiency. is the efficiency and P0, is the output power.
0
2
0
R
V
P s
(4)
Input power,
)(0
2
0
R
P
in
R
VP
P
(5)
0
2
)(0
P
V
R
p
R
(6)
It is common practice for the output to be isolated from the input and to connect Cl to a
step-up winding on the constant-voltage transformer (CVT). In order to use smaller capacitor
values, a step-up winding must be added, as shown in Figure 8. The penalty for using a smaller
capacitor requires the use of a step up winding. This step-up winding increases the VA or size of
the transformer.
Figure 8 CVT with step-up winding.
5. The secondary current, Is, can be expressed as:
s
s
V
P
I 0
(7)
With the step-up winding, the primary current Ip is related to the secondary current by
equation:
)31(
)21(
)21(
)54(
1
C
P
P
SS
P
V
V
V
VI
I
(8)
Due to increase in odd harmonics (because of saturation), current through the capacitor is
increased by a factor Kc, so capacitor current is given by:
CVKI CCC (9)
Where Kc can vary from 1.0 to 1.5.
Empirically, it has been seen that for good performance the primary operating voltage
should be:
)95.0(inP VV (10)
When the resonating capacitor is connected across a step-up winding, as is Figure 8, both
the value of the capacitor and the volume get reduced. If Cn is the new capacitance value and Vn
is the new voltage across the capacitor then
2
)21()21(
2
VCVC nn (11)
The apparent power Pt is the sum of each winding VA, i.e.
)54()32()21( VAVAVAPt (12)
Design a constant voltage transformer with the following specifications:
i. Input voltage Vin= 200-250 V
ii. Output voltage Vs = 230 V
iii. Power rating Po= 250 VA (Watts)
Engineering specifications: -
i. Supply frequency f = 50 Hz
ii. Current density J = 300 A/m2
iii. Capacitor voltage VC = 440 Volts
iv. Capacitor coefficient Kc = 1.5
v. Efficiency = 85 %
6. vi. Saturating flux density Bs = 1.95 T
vii. Window utilization factor Ku = 0.4.
Design steps: -
Step 1: - Calculation of primary voltage.
Primary voltage,
VoltsVV inP 19095.020095.0(min) .
Step 2: - Calculation of reflected resistance back to primary.
Reflected load resistance back to primary,
74.122
250
85.01902
0
2
)(
P
V
R P
RO
.
Step 3: - Calculation of required resonating capacitance.
Value of required resonating capacitance,
.59.78
74.12250233.0
1
33.0
1
)(
F
Rw
C
RO
Step 4: - Calculation of new value of capacitance with step-up winding.
New value of capacitance with step-up winding,
.655.14
440
19059.78
2
2
2
)31(
2
)21(
)31( F
V
VC
C
Generally VF 440/15 capacitors are available in market, so it is selected for CVT
operation.
Step 5: - Calculation of current through the capacitor.
Current through the capacitor,
AmpCwVI Cc 11.310155024405.15.1 6
.
Step 6: - Calculation of secondary current.
Secondary current,
Amp
V
P
I
S
S 087.1
230
2500
.
7. Step 7: - Calculation of primary current.
Primary current,
Amp
V
V
V
VI
I
C
P
P
SS
P 565.2
440
190
1
19085.0
230087.1
1
)31(
)21(
)21(
)54(
.
Step 8: - Calculation of total power handling capability.
Total power handling capability,
VA
IVIVVIV
VAVAVAP
SSCPCPP
t
86.1514087.123011.3)190440(565.2190
)(
)54()32()21(
Step 9: - Calculation the area product.
Area product,
4
44
28.299
3009.1504.044.4
1086.151410
cm
JfBKK
P
A
Suf
t
p
.
Step 10: - Selection of Core.
The closest lamination to the calculated area product in previous step is EI-175.
Table 1: Design data for various EI laminations.
8. Table 2: Dimensional data for various EI laminations.
E
D
D
Figure 3 Outline of EI laminations.
For EI-175 Lamination
Mean length turn MLT = 25.6 cm.
Magnetic path length MPL = 27.7 cm.
Core area Ac = 18.77 cm2
.
Window area Wa = 14.818 cm2
.
Area product Ap = 278.145 cm4
.
Core geometry Kg = 81.656 cm5
.
Surface area At = 652 cm2
.
Core weight Wtfe = 3.71 Kg.
Step 11: - Calculation of number of primary turns.
Number of primary turns,
23483.233
77.18509.144.4
1019010 44
cSf
p
p
fABK
V
N turns.
9. Step 12: - Calculation of primary bare conductor area.
Bare cross-sectional area of primary winding,
22
)( 855.000855.0
300
565.2
mmcm
J
I
A p
Bwp .
Step 13: - Selection of wire for primary winding.
Cross-sectional area of the required wire close to the area calculated in step-12 is close to
that of SWG-19 conductor. So the selected wire for designing the inductor is SWG-19.
Table 3: Standard Wire Gauge table.
Standard Wire
Gauge (SWG)
Diameter
in mm
Cross-sectional
area in mm2
Resistance per length
in Ω/Km in µΩ/cm
18 1.22 1.17 14.8 148
19 1.02 0.811 21.3 213
20 0.914 0.657 26.3 263
For 19-SWG wire, bare conductor area if 0.811 mm2
and resistance is 213 cm/ .
Step 14: - Calculation of primary winding resistance.
Primary winding resistance,
276.1102132346.2510213 66
pp NMLTR
Step 15: - Calculation of Primary winding copper loss.
Primary winding copper loss,
WRIP ppp 4.8276.1565.2 22
.
Step 16: - Calculation for number of turns for step-up capacitor winding.
Number of turns required for step-up capacitor winding,
30889.307
190
)190440(234)(
p
pcp
c
V
VVN
N turns.
10. Step 17: - Calculation of bare wire area for step-up capacitor winding.
Bare cross-sectional area of step-up capacitor winding,
22
)( 04.10104.0
300
11.3
mmcm
J
I
A C
Bwc .
Step 18: - Selection of wire for step-up capacitor winding.
Cross-sectional area of the required wire close to the area calculated in step-17 is close to
that of SWG-18 conductor. So the selected wire for designing the inductor is SWG-18.
Table 3: Standard Wire Gauge table.
Standard Wire
Gauge (SWG)
Diameter
in mm
Cross-sectional
area in mm2
Resistance per length
in Ω/Km in µΩ/cm
17 1.42 1.59 10.9 109
18 1.22 1.17 14.8 148
19 1.02 0.811 21.3 213
For 18-SWG wire, bare conductor area if 1.17 mm2
and resistance is 148 cm/ .
Step 19: - Calculation of step-up capacitor winding resistance.
Step-up capacitor winding resistance,
167.1101483086.2510148 66
cc NMLTR
Step 20: - Calculation of step-up capacitor winding copper loss.
Step-up capacitor winding copper loss,
WRIP ssc 3.11167.111.3 22
.
Step 21 - Calculation for number of turns for secondary winding.
Number of turns required for the secondary winding,
2843.283
190
230234
p
p
s
V
VsN
N turns.
11. Step 22: - Calculation of bare wire area for secondary winding.
Bare cross-sectional area of secondary winding,
22
)( 362.000362.0
300
087.1
mmcm
J
I
A s
Bws .
Step 23: - Selection of wire for secondary winding.
Cross-sectional area of the required wire close to the area calculated in step-17 is close to
that of SWG-22 conductor. So the selected wire for designing the inductor is SWG-22.
Table 3: Standard Wire Gauge table.
Standard Wire
Gauge (SWG)
Diameter
in mm
Cross-sectional
area in mm2
Resistance per length
in Ω/Km in µΩ/cm
21 0.813 0.519 33.2 332
22 0.711 0.397 43.4 434
23 0.61 0.292 59.1 591
For 22-SWG wire, bare conductor area if 0.397 mm2
and resistance is 434 cm/ .
Step 24: - Calculation of secondary winding resistance.
Secondary winding resistance,
155.3104342846.2510434 66
sp NMLTR
Step 25: - Calculation of secondary winding copper loss.
Secondary winding copper loss,
WRIP sss 73.3155.3087.1 22
.
Step 26: - Calculation of total copper loss.
Total copper loss,
WPcu 43.2373.33.114.8 .
12. Step 27: - Calculation of W/K for the core material.
38.195.150000557.0000557.0 86.168.186.168.1
Bf
K
W
Step 28: - Calculation of core loss.
Core loss,
WWt
K
W
P fefe 12.571.338.1
Step 29: - Calculation the total losses.
Total losses, WPPP fecu 57.2812.543.23 .
Step 30: - Calculation of watt density.
Surface watt density, 044.0
652
57.28
tA
P
.
Step 31: - Calculation the temperature rise.
Temperature rise, .1.34044.0450450 0826.0826.0
CTr
Step 32: - Calculation of transformer efficiency.
Transformer efficiency, %.74.898974.0
57.28250
250
PP
P
o
o
Step 33: - Window utilization factor.
454.0
6.14
0117.030800397.028400811.0234
)()()(
a
BwccBwssBwpp
u
W
ANANAN
K
13. Series AC Inductor Design
Voltage rating of the inductor is the highest input voltage i.e. 250V and current rating is
the input current is the primary current Ip i.e. 2.565 A. Various parameters considered for designing
inductor are:
Operating frequency: f = 50 Hz
Operating flux density: B = 1.4 T
Current density: J = 300 A/cm2
Efficiency: 85 %
Magnetic material permeability, r = 1500
Window utilization, Ku = 0.4
Step 34: - Calculation of inductance.
Inductive reactance, 466.97
565.2
250
LX .
Inductance, H
f
X
X L
L 31.0
502
466.97
2
Step 35: - Calculation of power handling capability.
Power handling capability of the inductor is
VAPt 25.641565.2250 .
Step 36:- Calculation of area product AP
4
44
94.171
3004.1504.044.4
1025.64110
cm
JfBKk
P
A
acuf
t
p
Step 37:- Selection of Core
Core material suitable for designing the inductor is EI-150 for which the area product is
150.136 cm4
. Tables blow depicts the design and dimensional data for various laminations EI
(Table 3.3 of Text Book).
14. Table 1: Design data for various EI laminations.
Table 2: Dimensional data for various EI laminations.
E
D
D
Figure 3 Outline of EI laminations.
For 𝑬𝑰 − 𝟏𝟓𝟎 lamination,
Magnetic path length (MPL) = 22.9 cm
Core weight = 2.334 Kg
Copper weight = 853 gm
15. Mean length turn (MLT) = 22 cm
Iron area, 𝐴 𝑐 = 13.79 cm2
Window area, 𝑊𝑎 = 10.89 cm2
Area product, 𝐴 𝑝 = 𝐴 𝑐 × 𝑊𝑎 = 150.136 cm4
Core geometry, 𝐾𝑔 = 37.579 cm5
Surface area, 𝐴 𝑡 = 479 cm2
Window length, G = 5.715 cm
Lamination tongue, E = 3.81 cm
Step 38:- Calculation of number of turns
584
79.13504.144.4
1025010 44
cacf fABk
V
N turns.
Step 39:- Calculation of required air-gap
mmcm
MPL
L
AN
l
r
c
g 75.1175.0
1500
9.22
31.0
1079.135844.0104.0 8282
Step 40:- Calculation of Fringing flux factor
197.1
175.0
715.52
ln
79.13
175.0
1
2
ln1
gc
g
l
G
A
l
F
Step 41:- Calculation of new number of turns for the inductor
512
10197.179.134.0
175.031.0
104.0 88
FA
Ll
N
c
g
new turns.
Step 42:- Calculation of operating flux density with new turns
595.1
79.135051244.4
1025010 44
cnewf
ac
fANk
V
B T
Step 43:- Calculation of bare conductor area
22
)( 855.000855.0
300
565.2
mmcm
J
I
A Bw
Step 44:- Selection of wire from wire table
Cross-sectional area of the required wire close to the area calculated in step-10 is matching
with the area of SWG-19 conductor. So the selected wire for designing the inductor is SWG-19.
16. Table 3: Standard Wire Gauge table.
Standard wire gauge Diameter in mm
Cross-sectional area in
mm2
Resistance per length
in Ω/Km in µΩ/cm
18 1.22 1.17 14.8 148
19 1.02 0.811 21.3 213
20 0.914 0.657 26.3 263
For 19-SWG wire, bare conductor area if 0.811 mm2
and resistance is 213 cm/ .
Step 45:- Calculation of inductor resistance
Inductor resistance,
4.2102135122210213 66
newL NMLTR
Step 46:- Inductor winding copper loss
79.154.2565.2 22
LL RIP Watts
Step 47: - Calculation of Watts/Kg
K
W
95.0595.150000557.0000557.0 86.168.186.168.1
acBf
K
W
Step 48: - Calculation of core loss
22.2334.295.0 tfefe W
K
W
P Watts
Step 49: - Calculation of gap loss
146.13595.150175.081.3155.0 22
acgig fBElKP Watts
Step 50: - Calculation of total losses
136.31146.132.279.15 gfecu PPPP Watts
Step 51: - Calculation inductor surface watt density
065.0
479
136.31
tA
P
Watts/cm2
Step 52: - Calculation of temperature rise
CTr
0826.0826.0
5.40065.0400400
Step 53:- Calculation of window utilization factor