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Q 4 (after Problem 3.62) 6 marks One technique for building a DC power supply is...
We may design a dc power supply by cascading a full-wave rectifier and an RC circuit....
We may design a dc power supply by cascading a full-wave rectifier and an RC circuit. The full wave rectifier output x(t) = |cos(120t)I is the input to the RC circuit whose frequency response is 4. a) Find the Fourier transform for the input signal x(t) b) Find the Fourier transform for the output signal y(t) c) Find the range for the RC such that magnitude of the first harmonic of the ripple in y(t) is less than 1% of...
We may design a DC power supply by cascading a fullwave rectifier and an RC circuit as depicted b...
We may design a DC power supply by cascading a fullwave rectifier and an RC circuit as depicted below. The full-wave rectifier output is given by z(t) x(t) Let H(ja) be the frequency response of the RC circuit. Suppose the input x(t) cos(120rt), a) Write the Trigonometric Fourier series representation of z(t) b) Write the Trigonometric Fourier series representation of y(t) c) Find the range for the time constant RC such that the first harmonic of the ripple in y(t)...
2. Suppose we want to design a de power supply by filtering the output, Vree(t), of...
2. Suppose we want to design a de power supply by filtering the output, Vree(t), of a full-wave rectifier through the following low-pass filter Choke-Input Filter Pulsating DC From Rectifier Filtered DC Output To Load Assume that the trigonometric Fourier series expansion of Vree t) is given by: Vree(t)-Vpsin(2T50t) n(1-4n2) a) From known properties of linear systems, write down an expression for the steady state output of the filter b) What are the amplitudes of the de component and the...
1. Consider the single-phase VSI inverter shown below dc VR(t) iz(t) a) If your input voltage Vdc...
1. Consider the single-phase VSI inverter shown below dc VR(t) iz(t) a) If your input voltage Vdc - 100V2 V and switching frequency is 60 Hz with zero delay angle. Then, sketch the square wave output. Mark the peak values [10 marks] b) Sketch the fundamental output on the top of the above waveform. Mark the peak value По marksl c) The above A VSI is used to create a square wave output with 100v2 V at 60 Hz. This...
Suppose that for the LTI system depicted in the following figure (a), the impulse response and th...
Suppose that for the LTI system depicted in the following figure (a), the impulse response and the transfer function are given by h(t) = e-tu(t) H(S) = s+1 1 H 100 The input signal x(t) is the square wave of Figure (b), where t is in seconds. Since the fundamental period is To = 2π, the fundamental frequency is ao-2π/L = 1 rad/s and kaa-k. 3t (a) Use the Table provided to find the exponential Fourier series of the signal...
A square wave of amplitude A and period T can be defined as -A, 5<t<0, with...
A square wave of amplitude A and period T can be defined as -A, 5<t<0, with f(t) = f(t + T), since the function is periodic. Compute the Fourier series for the function in the form f(t) = aneinwot, n=- where wo = 21/T and the coefficients an are the complex Fourier coefficients. Show all your work. Make a simple sketch of the signal and its series. The FIR filter is defined by the filter coefficients bk = [3,-1,2,1] Write...
2. Increase the period of square signal in (b) with keeping same pulse duration, as shown...
2. Increase the period of square signal in (b) with keeping same pulse duration, as shown in the following figure То (c) A -A Ti Find the Fourier series coefficients az, as well as M7 and 8. for (c) T1=(1/4)To. Sketch the spectrum for both cases. Consider what spectrum will be if T1/To → 0. Procedures: Use the Signal Generator to generate the above signals according to the setting listed in Table I and measure the spectral from the Digital...
2. Figure 2 shows a 6-pulse thyristor rectifier feeding a DC static load an operating at steady-state. The ac input power supply is a symmetric set of three-phase voltages forming a direct seque...
2. Figure 2 shows a 6-pulse thyristor rectifier feeding a DC static load an operating at steady-state. The ac input power supply is a symmetric set of three-phase voltages forming a direct sequence, having rms line-to-line voltage of Vuns equal to 415 V and angular frequency ω equal to 100π rad/s. The load is sufficiently inductive to smooth out the load current i(t), i.e. i 1, where I is a constant. a. Derive the mathematical expression of the average DC...
Problem 4: A signal x(t) is given mathematically as follows: x(t) = 4.5+ 3.8cos(27 74t -...
Problem 4: A signal x(t) is given mathematically as follows: x(t) = 4.5+ 3.8cos(27 74t - 31/11) - 2 cos(21 296t+1/3) 4.1. Sketch the spectrum of the signal. Is x(t) periodic? If so, what is its fundamental frequency and what are the signal harmonics? Write down the number of each harmonic (0, 1, 2, ... etc) and the frequency of each harmonic. Verify in MATLAB 4.2. A new signal z(t) is created by adding a sinusoidal signal y(t) to x(t)....
DC-AC inverters have many commercial and residential applications, including uninterruptible powe...
DC-AC inverters have many commercial and residential applications, including uninterruptible power supply (UPS) units, adjustable speed drives (ASD) for AC motors, and electronic frequency changer circuits. They are also used in solar electrical systems where batteries are charged from solar panels and used as the input DC voltage source. The inverter circuit converts the DC into AC voltage of desired frequency. Most of us are also familiar with HVDC transmission systems, where high voltages are first converted from AC to...
We may design a dc power supply by cascading a full-wave rectifier and an RC circuit. The full wave rectifier output x(t) = |cos(120t)I is the input to the RC circuit whose frequency response is 4. a) Find the Fourier transform for the input signal x(t) b) Find the Fourier transform for the output signal y(t) c) Find the range for the RC such that magnitude of the first harmonic of the ripple in y(t) is less than 1% of...
We may design a DC power supply by cascading a fullwave rectifier and an RC circuit as depicted below. The full-wave rectifier output is given by z(t) x(t) Let H(ja) be the frequency response of the RC circuit. Suppose the input x(t) cos(120rt), a) Write the Trigonometric Fourier series representation of z(t) b) Write the Trigonometric Fourier series representation of y(t) c) Find the range for the time constant RC such that the first harmonic of the ripple in y(t)...
2. Suppose we want to design a de power supply by filtering the output, Vree(t), of a full-wave rectifier through the following low-pass filter Choke-Input Filter Pulsating DC From Rectifier Filtered DC Output To Load Assume that the trigonometric Fourier series expansion of Vree t) is given by: Vree(t)-Vpsin(2T50t) n(1-4n2) a) From known properties of linear systems, write down an expression for the steady state output of the filter b) What are the amplitudes of the de component and the...
1. Consider the single-phase VSI inverter shown below dc VR(t) iz(t) a) If your input voltage Vdc - 100V2 V and switching frequency is 60 Hz with zero delay angle. Then, sketch the square wave output. Mark the peak values [10 marks] b) Sketch the fundamental output on the top of the above waveform. Mark the peak value По marksl c) The above A VSI is used to create a square wave output with 100v2 V at 60 Hz. This...
Suppose that for the LTI system depicted in the following figure (a), the impulse response and the transfer function are given by h(t) = e-tu(t) H(S) = s+1 1 H 100 The input signal x(t) is the square wave of Figure (b), where t is in seconds. Since the fundamental period is To = 2π, the fundamental frequency is ao-2π/L = 1 rad/s and kaa-k. 3t (a) Use the Table provided to find the exponential Fourier series of the signal...
A square wave of amplitude A and period T can be defined as -A, 5<t<0, with f(t) = f(t + T), since the function is periodic. Compute the Fourier series for the function in the form f(t) = aneinwot, n=- where wo = 21/T and the coefficients an are the complex Fourier coefficients. Show all your work. Make a simple sketch of the signal and its series. The FIR filter is defined by the filter coefficients bk = [3,-1,2,1] Write...
2. Increase the period of square signal in (b) with keeping same pulse duration, as shown in the following figure То (c) A -A Ti Find the Fourier series coefficients az, as well as M7 and 8. for (c) T1=(1/4)To. Sketch the spectrum for both cases. Consider what spectrum will be if T1/To → 0. Procedures: Use the Signal Generator to generate the above signals according to the setting listed in Table I and measure the spectral from the Digital...
2. Figure 2 shows a 6-pulse thyristor rectifier feeding a DC static load an operating at steady-state. The ac input power supply is a symmetric set of three-phase voltages forming a direct sequence, having rms line-to-line voltage of Vuns equal to 415 V and angular frequency ω equal to 100π rad/s. The load is sufficiently inductive to smooth out the load current i(t), i.e. i 1, where I is a constant. a. Derive the mathematical expression of the average DC...
Problem 4: A signal x(t) is given mathematically as follows: x(t) = 4.5+ 3.8cos(27 74t - 31/11) - 2 cos(21 296t+1/3) 4.1. Sketch the spectrum of the signal. Is x(t) periodic? If so, what is its fundamental frequency and what are the signal harmonics? Write down the number of each harmonic (0, 1, 2, ... etc) and the frequency of each harmonic. Verify in MATLAB 4.2. A new signal z(t) is created by adding a sinusoidal signal y(t) to x(t)....
DC-AC inverters have many commercial and residential applications, including uninterruptible power supply (UPS) units, adjustable speed drives (ASD) for AC motors, and electronic frequency changer circuits. They are also used in solar electrical systems where batteries are charged from solar panels and used as the input DC voltage source. The inverter circuit converts the DC into AC voltage of desired frequency. Most of us are also familiar with HVDC transmission systems, where high voltages are first converted from AC to...
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