Write the expressions for magnitude and the phase of $G(j\omega)H(j\omega)$.įind the starting magnitude and the phase of $G(j\omega)H(j\omega)$ by substituting $\omega = 0$. Substitute, $s = j\omega$ in the open loop transfer function. Rules for Drawing Polar Plotsįollow these rules for plotting the polar plots. For example, the angle 270 0 in anti-clock wise direction is equal to the angle −90 0 in clockwise direction. Similarly, we can represent angles with negative values in clockwise direction. These angles are represented by positive values in anti-clock wise direction. The concentric circles and the radial lines represent the magnitudes and phase angles respectively. This graph sheet consists of concentric circles and radial lines. The polar graph sheet is shown in the following figure.
The Polar plot is a plot, which can be drawn between the magnitude and the phase angle of $G(j\omega)H(j\omega)$ by varying $\omega$ from zero to ∞. The polar form of $G(j\omega)H(j\omega)$ is
Here, the magnitudes are represented by normal values only. Polar plot is a plot which can be drawn between magnitude and phase. There, we have two separate plots for both magnitude and phase as the function of frequency. In the previous chapters, we discussed the Bode plots.
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