Summary of the Framework

The Power and Energy Analysis Tools for Bond Graph libraries considering thermal effects can be summarized by the following diagram which is exactly the same as previously:

Figure 25: Energy management Framework for Pure Bond Graph libraries plus thermal effects

A system Σ:

• receives or gives energy at its ports,

• receives energy from or gives energy to the Sources (whether hidden internally from the submodel or from an external source submodel),

• stores or restores energy in its Capacitive and Inertial elements,

• loses energy in its Resistive elements and transmits it to the environment.

As previously described, the dissipated power in

R

elements is split into two parts. One part stays in the system and is transmitted to the other components

and the other part is lost and transmitted to the environment

. As a consequence

does not appear in the power balance, unlike

.

In terms of equation, the power balance can be written as:

With:

• power exchanged at port i (>0 if it goes into the system and <0 if it leaves it),

• source power variable inside the system,

• capacitive power of the system,

• inertial power of the system,

• resistive power of the system which is not recovered by the system (always positive).

Note

Since the RS power and energy stay in the system to be converted to another domain of physics, they are not visible in the power balance equation.