Global Matrix Evaluation
Use a Global Matrix Evaluation () to define the evaluation of the numerical values for a global matrix variable such as S-parameters in a model with several ports activated as a parametric sweep and a frequency-domain study. The Table window then displays all values for all frequencies in a parametric sweep.
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Go to Common Results Node Settings for information about the following sections: Data, Through-Thickness Location, and Expression. For the expression, you can only choose from available matrix variables.
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Table
Data Series Operation
Select an option for operations on the data series for the inner parameters — typically a frequency sweep or time series from a study — and the outer parameters — the parametric sweep (for ports in electromagnetics, for example) — from the Inner parameters and Outer parameters lists:
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Select None to use the computed value as it is (the default).
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Select Average to use the average of the computed values for the inner solutions or the outer solutions.
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Select Sum to use the sum of the computed values for the inner solutions or the outer solutions.
For structured sweeps where the two innermost columns are both inner and both outer, these lists have dynamic labels such as Outer parameter (PortName) for a sweep over PortName.
The Ignore NaN check box is selected by default to ignore NaNs in the data for an inner or outer data series operations. If you want to keep values that are NaN, clear this check box. This setting is useful when solving a parametric sweep that computes a single column of the matrix variable at each step, such as when running a Port or Terminal sweep in the AC/DC Module or the RF Module. If the Ignore NaN check box is selected, the columns not computed in each step (that are filled with NaN) are ignored when evaluating the complete matrix.
Transformation
This section allows specifying a transformation to be applied on the evaluated matrix. The result of the transformation is displayed in the Table window. Select a Transformation for the matrix. If None is selected, the evaluated matrix is displayed. If Inverse is selected, the inverse of the evaluated matrix is displayed.
The additional transformations available in the list (such as From S to Z) can be used in electrical applications to transform between different lumped parameter matrices of the system, such as the system’s impedance matrix, Z; admittance matrix, Y; and S-parameter matrix, S. These matrices are computed in Port or Terminal sweeps (using the AC/DC Module or the RF Module), and are related by simple transformations,
where Z0 is the characteristic impedance and Y0 the characteristic admittance of the ports or terminals. In general, only one of the three matrices is computed by the physics interface and becomes available for evaluation.
Choose the appropriate transformation to compute and display one of the other two matrices. If the transformation requires it, specify a Characteristic impedance (SI unit: Ω) or Characteristic admittance (SI unit: S).
You can also make a transformation from Maxwell capacitance to mutual capacitance or vice versa by selecting From Maxwell to mutual or From mutual to Maxwell, and from an inverse Maxwell capacitance to mutual capacitance by selecting From inverse Maxwell to mutual (the inverse Maxwell capacitance is the output from sweeps over lumped parameters in electromagnetics). The relationship between the Maxwell capacitance matrix MA and the mutual capacitance matrix MU is that MUij is equal to if i = j, or equal to −MAij otherwise.
The transformation operations are only applicable for square matrices.