Phase plot

Figure 3-64 The gain and phase Bode plots for the design example 3.15.1 (a) the phase plot for the buck converter (b) the phase plot for the buck converter.

The first major pole is contributed by the output L-C filter. It represents a second order pole which exhibits a Q phenomenon, which is typically ignored, and a -40dB/decade rolloff above its corner frequency. The phase plot will quickly begin to lag starting at a frequency of 1/lOth the corner frequency, and will reach the full 180 degrees of lag at 10 times the corner frequency. The location of this double pole is found from... 

The Bode phase plot for a first-order system is given in Figure 6.9. 

Step through the sequence of structures depictir dissociation of HCl in thegfls phase. Plot energy (vertic axis) vs. interatomic distance (horizontal axis). How mai energy minima are there Do these structures correspoi to molecular or dissociated HCl ... 

Pig. 7.7 Three sections of the (pi,p2,P3)-phase plot (after [kinzel85b]) see text. 

As an option, we can omit the subplot command and put the magnitude and phase plots in individual figures. 

Fig. 3 A, B. A Time courses of cellular poly(3HB) content during the accumulation phase plotted for various specific poly(3HB) formation rates. B Amount of poly(3HB) as a multiple of the residual biomass at different poly(3HB) contents... 

Fig. 10.12 Phase changes measured between two channels of each channel pair in the four channel YI when no phase change was introduced at the channels. A shift of phase plots along vertical axis is applied to distinguish them from each other...

Figure 9. Phase plot for PhC-waveguide, vertical white lines indicate unit cell extension.

This can be modelled by suspending the 6 phase from the calculations and Figure 10.53 shows the subsequently calculated phase % plot. Again, the solvus temperature for 7" is well matched with a consequent increase in the 7 solvus temperature of some 50 C. 

Fig. 4 Nomalized surface energy as a function of temperature at (a) 10 atm and (b) 15 atm, for various phases of O on Ag(lll). (c) The most stable phases plotted in the T, po) space. Reprinted with permission from Michaelides et al.. Chemical Physics Letters, 2003, 367, 344. Elsevier.

The AC Sweep is used for Bode plots, gain and phase plots, and phasor analysis. The circuit can be analyzed at a single frequency or at multiple frequencies. In this part we will illustrate its use at a single frequency for magnitude and phase results (phasors), and at multiple frequencies for Bode plots. 

SDLUTinn Use Probe to display magnitude and phase plots of the voltage across Cl... 

Concentration of organisms and of substrate plots over time and phase plot of Csf versus Cxs Figure 4.16... 

After the steady-state analysis, we now use the differential equations for the system (4.75), (4.76), (4.77) to draw 3D and 2D phase plots of the underlying dynamical system behavior for the original parameters given on p. 183. 

First we draw the 3D plot of the (xA(t), xs(t), y(t)) profiles, followed by the corresponding xa xb, XA y, and xs-y 2D phase plots. Note in all our graphs in Figures 4.34 to 4.37 that the controlled system has only one steady state, marked by an asterisk in the plots, to which all our plotted solution profiles converge. 

Therefore, when looking at the xa xb 2D phase plot of Figure 4.35 for example, we must... 

Similar observations will help the reader interpret the phase plots that follow in Figures 4.36 and 4.37. 

Tracing the trajectories of this 2D phase plot as before, we see that the initial values of... 

The last three phase plots were all created from the same 3D graphics MATLAB window of Figure 4.34 by clicking on the Rotate MATLAB figure icon, then dragging the mouse and thereby rotating the 3D image in the window until the base plane becomes one of the three 2D phase planes. 

Here is the MATLAB program neurocycle. m, which upon the user s specification and using MATLAB s (un)commenting feature, which places the symbol % at the start of comment lines, either plots all eight profiles, or one profile and one phase plot, or only one phase plot for relatively high values of the time parameter t, when the system has reached its periodic limit cycle. 

Phase plot of acetylcholine concentrations in (I) versus (II), after limit cycle has been reached (for t >= 0.4 Tend)... 

Next we display 13 single, double, or multiple plots drawn by our MATLAB program neurocycle.m of (a) the acetylcholine concentration profile in compartment (II) above the phase plot of the acetylcholine concentration in compartment (I) versus that in compartment (II), or (b) the limit cycle plot, or (c) the plot of all 8 profiles. We include interpretative comments on the solution s behavior in each case. 

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