Using Reduce Matrix > Join in Series

The Join in Series reduction lets you connect the sink terminals of one or more conductors in series with a source terminal on a different conductor. The connected conductors are then treated as if they were a single net. The rows and columns that represent their contributions to the matrix are replaced with a single row and column representing the contribution of this new object.

For capacitance and conductance CG) matrices, conductors in series are considered to be connected by ideal wires. Because of this, they are assumed to be at the same voltage — therefore the series connection produces the same capacitance result as a parallel connection.

In inductance and resistance (IR) matrices, the currents leaving the selected sink terminals are considered to be forced into the selected source terminal. Because the connections between the source and sink terminals are ideal, the exact order of connection is not important.

This matrix reduction operation is used to model the inductance and resistance of a closed loop in Q3D Extractor. The software directly solves for partial inductance and resistance matrices, which only include the effects of currents in the section of the loop that is being modeled. Matrix reduction allows you to calculate loop inductances and resistances.

To set up series connections between the conductors or terminals in a structure:

  1. Click Q3D Extractor > Reduce Matrix > Join in Series.

    The Reduce Matrix - Join in Series window appears, with a list of sources and sinks in the left pane.

    Reduce Matrix, Join in Series

  2. Select the source terminal and sink terminal(s) you want to join. As soon as you click a source or sink, it is removed from the terminal list and added to the Reduced Net List.
    Tip:

    Press Ctrl+A to select all sources/sinks.

  3. If you have a long list of terminals, you can filter the list by entering search criteria and clicking Filter. Use multiple search criteria with a comma separator (for example, "Redsource*, BlueSource*").
  4. Click one of the following:
    • Save and Create to save and leave the Reduce Operation window open to add an additional operation. You must select the next operation from the drop-down menu before clicking this button.
    • Save and Close to save the current operation and close the window.
    • Cancel to close the window without making changes.

    Operations that have been performed appear in the Project Manager:

    Reduce Matrix Tree