Fundamentals-Of-Power-Electronics-With-Matlab

Fundamentals Of Power Electronics With Matlab

Example 1.1

Description

A typical 100W light bulb has a resistance of approximately 144ohm. Find the rate at which energy is absorbed by the bulb when the voltage across it is v(t) = 120sqrt(2)cos(120pit).

Question

How much energy is absorbed by the bulb in 1 hour?

Exercise 1.1

Question

Compute the cost to operate a 100W light bulb for 8 hours a day for 30 days if the price of electicity is $0.12 for 3.6 million joules.

Example 1.2

Description

Find the average value of v_theta=vncos(ntheta-fin_n),in which n is a positive integer. The period of the waveform is 2pi/n

Conclusion

Any sinusoid of any frequency and phase has an average value of zero over one period or any integral number of periods

Exercise 1.2

Description

Find the average value of v_theta = Vm*sin(theta),theta is between 0 and pi

Example 1.3

Description

A certain battery-operated dvice reauires 3.0V and draws a current of 40mA.

Question

  1. What series resistance is required to operate the device from a 12V automobile battery?
  2. How much power is dissipated by the resistance?

Exercise 1.3

Description

The closest standard value of resistance to 225ohm is 220ohm. Standard resistance walues have a tolerance of ±5% of the nominal value. If a standard 220ohm resistor is used as the series resistance in Example 1.3.

Question

What it the possible range of load current?

Example 1.4

Description

Find the steady-state power absorbed in each element in the circuit shown in Figure 1.2

Conclusion

In the steady-state circuit, the values of the inductances and capacitances are irrelevant in the computation of absorbed power because the energy delivered by the source is only dissipated in the resistive elements. The analysis of a steady-state DC circuit is only dissipated in the resistive elements. The analysis of a steady-state DC circuit is simplified when all inductors are replaced with short circuits and all capacitors are replaced with open circuits.

Exercise 1.4

Description

Find the power absorbed in each element in the circuit shown in Figure 1.4.

Example 1.5

Description

Determine the number of joules in 1KWH

Exercise 1.5

Description

Find the number of KWHs used by a 2-kilowatt air conditioning unit if operated 9 hours a day for 30 days.

Question

Calculate the cost of energy based on 12 cents per KWH

Example 1.6

Description

Find the average power absorbed in an ideal inductor when the current through the inductance is periodic

Exercise 1.6

Description

Prove that the average power absorbed in an ideal capacitor is zero when the current through the capacitor is i(t) = C*dv(t)/dt and the voltage across the capacitor is periodic

Example 1.7

Description

Use MATLAB to compute the average value of a full-wave rectified sine waveform that has a peak value of 170V.

Exercise 1.7

Description

Create an m-file in MATLAB with the code from Example 1.7 and verify that the average value computed is approximately 108V. Verify that this result agrees with the result of Exercise 1.2 with Vm = 170V.

Example 1.8

Description

Find the RMS value of the waveform from Example 1.2

Exercise 1.8

Description

Find the RMS value of the waveform in Exercise 1.2 and prove that the RMS values of rectified and nonrectified sinusoids are the same.

Example 1.9

Description

Calculate the power dissipated in a 10 ohm resistor if the sinusoidal current through the resistance has a peak value of 10A

Exercise 1.9

Description

Calculate the power dissipated in a 10ohm resistor if the sinusoidal current through the resistance has a peak value of 10A

Example 1.10

Description

Use MATLAB to verify the RMS value derivation of the full-wave rectified sine wave in Exercise 1.8 with Vm = 170V.

Exercise 1.10

Description

Find the RMS value of v(t+T)=100t/T, in which T=2*pi. Verify that the RMS value if the peak value divided by sqrt(3)