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PSPICE 计算机仿真. Simulation Program with Integrated Circuit Emphasis. CH12. FREQUENCY RESPONSE 频率响应. 12.1 specifying frequency variation and number. Sinusoidal Linear, Logarithmic Decade, octave. 12.2 frequency response output. Rectangular, polar, decibel.
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PSPICE计算机仿真 Simulation Program with Integrated Circuit Emphasis
CH12 FREQUENCY RESPONSE 频率响应
Sinusoidal • Linear, Logarithmic • Decade, octave
12.2 frequency response output • Rectangular, polar, decibel
Example 18 illustrates how to analyze the frequency response of a parallel RLC circuit with PSpice.
Example 18 • a) The current source in the circuit shown in Fig. 104 is 50cosωt mA. Use Probe to plot Vo versus f from 1000 to 2000 Hz in increments of 10 Hz on a linear frequency scale. • b) From the Probe plot, estimate the resonant frequency, the bandwidth, and the quality factor of the circuit. • c) Compare the results obtained in b) with an analytic solution for f0, β, and Q.
Using the Probe Cursor, we note that the peak amplitude(峰值振幅) of about 400 V occurs at a frequency of 1590 Hz in Fig. 107a. • Thus we estimate the resonant frequency(衰减频率) at 1590 Hz.
To estimate the bandwidth, we use both cursors to find the frequencies where Vo=399.697/1.414=282.67 V. • The closest values are 281.992 at 1552 Hz and 1632.1 Hz. (Fig. 107b) • Thus we estimate the bandwidth to be 1632.1- 1552, or about 80 Hz.
Solution c) • A direct analysis of the circuit yields,
Example 19 • Modify the PSpice schematic for Example 18 to step the capacitor values from 0.15 μF through 0.35 μF. • Then use Probe to display the frequency response characteristics for all values of capacitance. • Comment on the effect of the changing capacitance.
Result • The smallest value of capacitance produced the plot farthest to the right. • We expect this result because the equation for resonant frequency for an RLC circuit is:
Furthermore, as the capacitance increases, the resonant peak becomes sharper. • This result, too, comes as no surprise because the equation for Q in a parallel RLC circuit is:
Example 20 compares the exact dB voltage magnitude versus log frequency and phase angle versus log frequency plots to the Bode straight-line approximation using Probe.
Example 20 • Construct a PSpice schematic and associated analysis to generate the frequency response of the circuit shown in Fig. 110 for three different values of resistance: 5 Ω, 50 Ω, and 500 Ω. • Then use Probe to plot the output voltage magnitude in dB and output voltage phase angle versus log frequency. • Finally, use the Label tool in Probe to overlay a straight-line Bode approximation plot and comment.
Because this is a series RLC circuit, we know that the centre frequency and the bandwidth are given by:
选中上面窗口(SEL>>表示选中!) • Trace/Add trace • 先选择右侧DB() • 再选择左侧V(out) • 底部出现: DB(V(out))
选中下面窗口(SEL>>表示选中!) • Trace/Add trace • 先选择右侧P() • 再选择左侧V(out) • 底部出现: P(V(out))
Example 21 demonstrates the use of PSpice and Probe in verifying the behavior of a high-Q bandpass filter.
Example 21 • The circuit in Fig. 113 is an active high-Q bandpass filter. • Using 1 nF capacitors and an ideal op amp, design values for the three resistors to yield a centre frequency of 10 KHz, a quality factor of 10, and a passband gain of 3. • Use Probe to verify that the resistor values you compute produce a filter that satisfies the three frequency response specifications.