Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
In a simple, three-phase voltage-source inverter of the form shown in Fig. 8.18, the direct voltage va in the link is 550 V. The frequency of the inverter output is 200 Hz. Determine: (a) the rms value of the fundamental component of the output voltage, line to line and line to neutral, and (b) the rms value of the actual output voltage line to line and line to neutral.

In a simple, three-phase voltage-source inverter of the form shown in Fig. 8.18, the direct voltage va in the link is 550 V. The frequency of the inverter output is 200 Hz. Determine: (a) the rms value of the fundamental component of the output voltage, line to line and line to neutral, and (b) the rms value of the actual output voltage line to line and line to neutral.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
See similar textbooks
icon
Related questions
Question
In a simple, three-phase voltage-source inverter of the form shown in Fig. 8.18, the direct voltage \( v_d \) in the link is 550 V. The frequency of the inverter output is 200 Hz. Determine: (a) the rms value of the fundamental component of the output voltage, line to line and line to neutral, and (b) the rms value of the actual output voltage line to line and line to neutral.
Transcribed Image Text:In a simple, three-phase voltage-source inverter of the form shown in Fig. 8.18, the direct voltage \( v_d \) in the link is 550 V. The frequency of the inverter output is 200 Hz. Determine: (a) the rms value of the fundamental component of the output voltage, line to line and line to neutral, and (b) the rms value of the actual output voltage line to line and line to neutral.
**Figure 8.18: Voltage-source inverter with waveforms** This figure illustrates a voltage-source inverter circuit and its associated waveforms. **(a) Inverter Circuit Diagram:** - The diagram showcases a voltage-source inverter with switches \( S_1 \) through \( S_6 \) and diodes \( D_1 \) through \( D_6 \). - The controlled converter is shown supplying a DC voltage, \( V_d \), which is converted into three-phase AC power. - The output phases are labeled as \( a, b, \) and \( c \), with load connections indicated. **(b) Switching Patterns:** - The waveforms for the switching states of \( S_1, S_2, S_3, S_4, S_5, \) and \( S_6 \) are plotted against time \( \omega t \). - Each switch waveform illustrates the on/off state during a cycle, highlighting the sequential operation of the inverter switches over a complete period from 0 to \( 2\pi \). **(c) Line-to-Line Voltages ( \( v_{ab}, v_{bc}, v_{ca} \) ):** - These waveforms depict the instantaneous line-to-line voltages across the inverter’s output. - The behavior of these voltages corresponds to the inverter's switching patterns in part (b). **(d) Phase Voltage ( \( v_{an} \) ):** - The waveform illustrates the phase voltage \( v_{an} \), which is the voltage from phase \( a \) to the neutral \( n \). - The output appears as a stepped waveform due to the inverter's switching operations over the electrical period. **(e) Load Current ( \( i_a \) ):** - The sinusoidal waveform represents the output current \( i_a \) flowing through the load. - The current waveform indicates the inverter's effect in approximating sinusoidal output for load consumption over time \( \omega t \). This diagram and accompanying waveforms provide insight into the operation of the voltage-source inverter, highlighting its role in converting DC to three-phase AC power with specific switching sequences to approximate sinusoidal output voltages and currents.
Transcribed Image Text:**Figure 8.18: Voltage-source inverter with waveforms** This figure illustrates a voltage-source inverter circuit and its associated waveforms. **(a) Inverter Circuit Diagram:** - The diagram showcases a voltage-source inverter with switches \( S_1 \) through \( S_6 \) and diodes \( D_1 \) through \( D_6 \). - The controlled converter is shown supplying a DC voltage, \( V_d \), which is converted into three-phase AC power. - The output phases are labeled as \( a, b, \) and \( c \), with load connections indicated. **(b) Switching Patterns:** - The waveforms for the switching states of \( S_1, S_2, S_3, S_4, S_5, \) and \( S_6 \) are plotted against time \( \omega t \). - Each switch waveform illustrates the on/off state during a cycle, highlighting the sequential operation of the inverter switches over a complete period from 0 to \( 2\pi \). **(c) Line-to-Line Voltages ( \( v_{ab}, v_{bc}, v_{ca} \) ):** - These waveforms depict the instantaneous line-to-line voltages across the inverter’s output. - The behavior of these voltages corresponds to the inverter's switching patterns in part (b). **(d) Phase Voltage ( \( v_{an} \) ):** - The waveform illustrates the phase voltage \( v_{an} \), which is the voltage from phase \( a \) to the neutral \( n \). - The output appears as a stepped waveform due to the inverter's switching operations over the electrical period. **(e) Load Current ( \( i_a \) ):** - The sinusoidal waveform represents the output current \( i_a \) flowing through the load. - The current waveform indicates the inverter's effect in approximating sinusoidal output for load consumption over time \( \omega t \). This diagram and accompanying waveforms provide insight into the operation of the voltage-source inverter, highlighting its role in converting DC to three-phase AC power with specific switching sequences to approximate sinusoidal output voltages and currents.
Expert Solution
Step 1: Summarize the given details

Given

The direct voltage/source voltage/input voltage is,

v subscript d equals 550 space text V end text .

The frequency of the output is,

f equals 200 space text Hz end text .

To find

(a) RMS value of the fundamental component.

(b) RMS value of the actual output voltage.

steps

Step by step

Solved in 4 steps with 12 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Single Phase and Three Phase Inverter
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS