RC Solver and Model Definition Improvements

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RC Solver and Model Definition Improvements

• Teems E. Lovett

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Key Advances

• Base class definitions
• Model
• Solver
• Matrix optimizations (sparse matrices)
• Variable time-step methods
• Initial condition setting
• RC solver with signal extension

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Model Foundation

• Port types
• Multi-level base class
• States viewables
• Matrix data
• Matrix ports
• Node names dependent models
• Layers fields

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Variable Time-step Methods

• Model based
• Prediction
• State rollback
• Linear-switching models
• Change time-step
• Solver based
• Algorithm

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Initial Conditions

• RC model functions
• NULL step
• NULL minor step
• Not time based
• Steady state
• Linear non-linear
• Initial behavior?

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Solver Foundation

• Interpretation
• Node-mapping
• Back-plane
• Solver extensions
• Node name association
• Separate model types
• Execution separate

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Signal Solver

• Derived from resistive companion models
• New base class
• Natural signal back-planes
• Signal flow
• Different state concept

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Mixed Signal Information Flow

• Natural execution flow
• Signal execution flow
• Mixed flow
• Time complexity
• Rollback complexity
• Complications

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Example
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Future Advances

• Solver algorithms for variable stepping
• Improved interpretation of signal back-plane
• Extension to three back-plane solvers
• Multiple mixed-signal solving methods