Implement first-order filter
Depending on the Filter type selected in the block menu, the First-Order Filter block implements the following transfer function:
The key characteristics of the First-Order Filter block are:
Input accepts a vectorized input of N signals, thus implementing N filters. This feature is particularly useful for designing controllers in three-phase systems (N = 3).
You can initialize filter states for specified DC and AC inputs.
It enables you to compute and plot filter response.
Specify the type of filter: Lowpass or Highpass.
Specify the filter time constant, in seconds.
Specify the sample time of the block, in seconds. Set to 0 to implement a continuous block.
When this check box is selected, the filter states are initialized according to the AC initial input and DC initial input parameters.
Specify the magnitude of the initial AC component of the input signal, its phase, in degrees, and its frequency, in hertz.
When the input is vectorized (N signals), specify an N-by-3 matrix, where each row of the matrix corresponds to a particular input.
The AC initial input parameter is visible only when the Initialize filter states parameter is selected.
Specify the value of the initial DC component of the input signal. When the input signal is vectorized, specify a 1-by-N vector, where each value corresponds to a particular input.
The DC initial input parameter is visible only when the Initialize filter states parameter is selected.
When this check box is selected, the filter step response and its Bode diagram (magnitude and phase of transfer function as a function of frequency) are plotted in a figure.
The frequency range used for plotting the filter Bode diagram. Specify a vector containing the starting frequency, the end frequency, and the incremental frequency, in hertz.
The Frequency range parameter is visible only when the Plot filter response parameter is selected.
|Sample Time||Specified in the Sample Time parameter|
Continuous if Sample Time = 0
|Scalar Expansion||Yes, of the parameters|
|States||One state per filter|
The model sample time is parameterized with variable Ts (default value Ts = 50e-6). To simulate continuous filters, specify Ts = 0 in the MATLAB Command Window before you start.