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SYSTEM ANALYSIS THROUGH BOND GRAPH MODELING by ...

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32<br />

Figure 3.2 shows a zero and a 1-junction and the implied meanings of the effort and<br />

flow variables. The 0-junction of figure 3.2 shows five power bonds connected to the<br />

junction, and the 1-junction of figure 3.2 shows three power bonds connected to the<br />

junction to indicate that each junction may have an unlimited number of power bond<br />

connections. The power bonds, on each of the junctions in figures 3.2, are arbitrarily<br />

numbered to keep track of the conjugate variables associated with them.<br />

It is clear from figure 3.2 that each type of junction conserves power in that power<br />

into the junction is equal to the power out of the junction. By holding one of the<br />

conjugate variables equal on all bonds connected to the junction, the other conjugate<br />

variable must then sum to zero, i.e., incoming minus outgoing equals zero.<br />

3.2.3 1-Port Elements<br />

Bond graphs use five types of idealized 1-port elements. Two of these elements are<br />

active and the remaining three are passive. The two active 1-port elements are the<br />

idealized bond graph sources, consisting of an effort source and a flow source. Each of<br />

these elements is shown in figure 3.3. Bond graph sinks are represented <strong>by</strong> reversing the<br />

direction of the power arrow opposite that shown in figure 3.3.<br />

Bond graphs use three types of idealized passive 1-port elements. Two of these<br />

elements are energy storage elements and the other is a dissipative element. Each of<br />

these elements exchanges power from one form to another in their own unique way.<br />

These elements are considered to be passive, since they do not contain any sources of

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