Harmonic Analyzer

| Vectorized |
in the palette on the schematic

The "Harmonic Analyzer" unit is a ready-made model that implements an algorithm for direct calculation of the frequency response of an arbitrary system when a test sinusoidal signal with a discretely varying frequency and a predetermined amplitude of oscillations is applied to its input. It allows to obtain integral frequency characteristics of arbitrary nonlinear systems and to estimate the amplitude-frequency response characteristic of the system at different amplitudes of the input signal.

Working with the "Harmonic Analyzer" unit

The first output of the "Harmonic Analyzer" unit is the source of the test sinusoidal signal, therefore it must be connected to the input of the investigated unit (system).

To obtain the results of the unit operation, it is necessary to run the circuit for simulation. Upon completion of the frequency response calculation, the unit will independently generate a command to stop the simulation. The time required to calculate the amplitude-frequency response characteristic is calculated automatically, depending on the properties of the block, so the final modeling time of the system in the model calculation parameters window must be set by a knowingly larger number than may be necessary for this.

Input Ports

Parameter name Description Communication line type
f(i*w*t) Input to which the test system output must be connected Mathematical

Output Ports

Parameter Description Communication line type
i*w*t Test harmonic signal to be applied to the input of the system under study Mathematical
Frequency Current circular frequency of test harmonic signal Mathematical
A(w*t) Current value of the amplitude-frequency response characteristic of the system under study Mathematical
F(w*t) Current value of the circuit phase response of the system under study Mathematical
re(w*t) Current value of the real part of the amplitude-phase frequency response of the system under study Mathematical
im(w*t) Current value of the imaginary part of the amplitude-phase frequency response characteristic Mathematical
Прим.: The values of the amplitude-frequency response (AFC), phase-frequency response (PFC), real and imaginary parts of the amplitude-phase frequency response (APFC) displayed on the ports are calculated at the time of completion of the study at the current circular frequency. The output value of the current circular frequency can be changed both at the time of the start of the study at the current frequency and at the time of its completion simultaneously with the AFC, PFC and APFC. The method of frequency output is set in the unit properties and affects the appearance of the frequency response graphs. When the frequency is displayed at the beginning of the study, the AFC and PFC graphs will be stepwise, when displayed simultaneously with the AFC and PFC, their graphs will be piecewise linear.

Properties

Title Parameter Description By default Data type
Number of AFC intervals nfpoints Number of sections with discretely varying frequency 500 Real
Minimum frequency fmin Initial frequency of test harmonic signal 0.1 Real
Maximum frequency fmax Final frequency of test harmonic signal 100 Real
Unit of frequency freqdim Selection of unit of frequency ("1/s", "Hz") Hz Enumeration
Law of frequency change freqarraytype Selection of the frequency change law ("Linear", "Logarithmic") Logarithmic Enumeration
Number of stabilization periods nstab Number of harmonic test signal periods required to measure AFC at each frequency 6 Real
Coefficient of increase in the number of periods with a frequency of kfstab The value of the coefficient of increase in the number of periods with a frequency of 0.5 Real
Signal amplitude Ampl Test harmonic signal amplitude 1 Real
Unit of PFC ffcdim Selecting the dimension of the phase-frequency response characteristic ("Radians", "Degrees") Degrees Enumeration
Unit of AFC afcdim Selection of the amplitude-frequency response characteristic unit ("Absolute", "dB (20*lg(x))", "dB (10*lg(x))") dB (20*lg(x)) Enumeration
Minimum of AFC for logarithm min_af Minimum AFC value for logarithm 1E-20 Real
Frequency output method freqouttype Allows you to choose at what point in time to change the frequency value on the output port "Frequency" ("At the time of measurement start", "Simultaneously with AFC and PFC") At the start of the measurement Enumeration

Parameters

The block has no parameters.

Examples

Examples of block application: