- Author:
- David Nickerson <david.nickerson@gmail.com>
- Date:
- 2024-01-10 23:01:52+13:00
- Desc:
- preliminary documentation in reStructuredText.
Initial testing to try and remember the capabilities of PMR's rst rendering.
- Permanent Source URI:
- https://models.cellml.org/workspace/aed/rawfile/210ec6f9845f545fdd421b7a120070f2fa698cc3/README.rst
Bond graph example: An electrical circuit
=========================================
Here we show an electrical circuit with static storage (capacitor C), dynamic storage (inductor L) and dissipation (resistor R).
:math:`v_in^e` and :math:`v_out^e` are the input and output fluxes (electrical currents), respectively.
:math:`v_C^e`, :math:`v_R^e` and :math:`v_L^e` are the currents flowing through capacitor C, resistor R and inductor L, respectively, and :math:`u_C^e`, :math:`u_R^e` and :math:`u_L^e` are the electrical potentials across them.
Superscript ‘e’ indicates that the variables are electrical quantities; subcripts indicate the location in the circuit for each quantity.
.. figure:: fig1.png
:width: 95%
:align: center
:alt: Schematics and bond graph of the model
(a) A simple electrical circuit with (b) its representation by a bond graph. 0:nodes for an electrical network are physical locations where the flows (electrical currents) are balanced, while 1:nodes represent circuits around which the potentials sum to zero. :math:`v_in^e` and :math:`v_out^e` are boundary conditions. Note that from now on we drop the 0: and 1: labels as these nodes are now identified by their :math:`u_j^i` and :math:`v_j^i` labels, respectively.
