Series RLC

Model series RLC network

• 

Libraries:
RF Blockset / Equivalent Baseband / Series / Shunt RLC

Description

The Series RLC block models the series RLC network described in the block dialog box, in terms of its frequency-dependent S-parameters.

For the given resistance, inductance, and capacitance, the block first calculates the ABCD- parameters at each frequency contained in the vector of modeling frequencies, and then converts the ABCD- parameters to S-parameters using the RF Toolbox™ abcd2s function. See the Output Port block reference page for information about determining the modeling frequencies.

For this circuit, A = 1, B = Z, C = 0, and D = 1, where

$$Z=\frac{-LC{\omega }^2+jRC\omega +1}{jC\omega }$$

and $$\omega =2\pi f$$.

The series RLC object is a two-port network as shown in the following circuit diagram.

Parameters

Main

Resistance (Ohms) — Resistance of the series RLC network

1 (default) | scalar

Scalar value for the resistance. The value must be non-negative.

Inductance (H) — Inductance of the series RLC network

1e-9 (default) | scalar

Scalar value for the inductance. The value must be non-negative.

Capacitance (F) — Capacitance of the series RLC network

1e-12 (default) | scalar

Scalar value for the capacitance. The value must be non-negative.

Visualization

Source of frequency data — Frequency data source

User-specified (default)

Frequency data source, specified as User-specified.

Frequency data (Hz) — Frequency data range

[1:1.0e5:4e6] (default) | vector

Frequency data range, specified as a vector in hertz.

Reference impedance (ohms) — Reference impedance

50 (default) | nonnegative scalar

Reference impedance, specified as a nonnegative scalar in ohms.

Plot type — Type of data plot

X-Y plane (default) | Composite data | Polar plane | Z Smith chart | Y Smith chart | ZY Smith chart

Type of data plot to visualize using the given data, specified as one of the following:

• X-Y plane — Generate a Cartesian plot of the data versus frequency. To create linear, semilog, or log-log plots, set the Y-axis scale and X-axis scale accordingly.

• Composite data — Plot the composite data. For more information, see Create Plots Using Equivalent Baseband Library Blocks.

• Polar plane — Generate a polar plot of the data. The block plots only the range of data corresponding to the specified frequencies.

• Z smith chart, Y smith chart, and ZY smith chart — Generate a Smith^® chart. The block plots only the range of data corresponding to the specified frequencies.

Y parameter1 — Type of parameters to plot

S11 (default) | S12 | S21 | S22 | GroupDelay | OIP3 | NF | ...

Type of parameters to plot based on the Plot type you set, specified as one of the following.

Plot type	Y parameter1
X-Y plane	S11, S12, S21, S22, GroupDelay, OIP3, NF, NFactor, and NTemp.
Composite data	No Y parameter1 to set.
Polar plane	S11, S12, S21, and S22
Z Smith chart	S11 and S22.
Y Smith chart	S11 and S22.
ZY smith chart	S11 and S22.

Y parameter2 — Type of parameters to plot

S11 (default) | S12 | S21 | S22 | GroupDelay | OIP3 | NF | ...

Type of parameters to plot based on the Plot type you set, specified as one of the following.

Plot type	Y parameter2
X-Y plane	S11, S12, S21, S22, GroupDelay, OIP3, NF, NFactor, and NTemp.
Composite data	No Y parameter2 to set.
Polar plane	S11, S12, S21, and S22
Z Smith chart	S11 and S22.
Y Smith chart	S11 and S22.
ZY smith chart	S11 and S22.

Y format1 — Plot format

Magnitude (decibels) (default) | Mag | Magnitude (linear) | Angle | Real | Imaginary | ...

Plot format, specified as one of the following.

Y parameter1	Y format1
S11, S12, S21, and S22.	Magnitude (decibels), Magnitude (linear), Angle(degrees), Angle(radians), Real, and Imaginary.
GroupDelay	ns, us, ms, s, and ps.
OIP3	dB, dBm, W, and mW.
NF	Magnitude (decibels)
NFactor	None
NTemp	Kelvin

Dependencies

To enable Y format1, set Plot type to X-Y plane.

Y format2 — Plot format

Magnitude (decibels) (default) | Mag | Magnitude (linear) | Angle | Real | Imaginary | ...

Plot format, specified as one of the following.

Y parameter2	Y format2
S11, S12, S21, and S22.	Magnitude (decibels), Magnitude (linear), Angle(degrees), Angle(radians), Real, and Imaginary.
GroupDelay	ns, us, ms, s, and ps.
OIP3	dB, dBm, W, and mW.
NF	Magnitude (decibels)
NFactor	None
NTemp	Kelvin

Dependencies

To enable Y format2, set Plot type to X-Y plane.

X parameter — Frequency plot

Freq (default)

Frequency plot, specified as Freq.

X format — Frequency plot format

Auto (default) | Hz | kHz | MHz | GHz | THz

Frequency plot format, specified as one of the following.

Auto	Hz	kHz	MHz
GHz	THz

Y scale — Y-axis scale

Linear (default) | Log

Y-axis scale, specified as Linear or Log.

Dependencies

To enable this parameter, set Plot type to X-Y plane.

X scale — X-axis scale

Linear (default) | Log

X-axis scale, specified as Linear or Log.

Dependencies

To enable this parameter, set Plot type to X-Y plane.

Plot — Plot specified data

button

Plot the specified data using the plot button.

Version History

Introduced before R2006a