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Conductance Matrix : Circuit solution

Saikiran IND
Saikiran IND over 1 year ago

Hello,

 I am working on something and wanted to know how the cadence/spectre/spice approach to solving a circuit (especially a MOS device) changes when there is an instance of a topological change (defect). For instance, how is the nodal solution generated for a 5T op amp and how does the approach differ in the presence of a Gate-Drain or a Gate-Source short in any of the devices in the 5T?  How is the solution approach in the simulator different? When solving circuits with MOS transistors, how is the conductance matrix of the circuit generated? Is this information that can be shared?  Are there any reference materials you can share such that we can see how analytically the solution in any circuit (especially one with a MOS device) is modelled and solved?

 The circuit simulator may approach the solution through a Newton-Raphson iterative process and if that is the case, it means that in some way the circuit simulator generates a matrix equation equivalent of the circuit. I want to understand/know how this is done for a MOS structure.

Thanks

Saikiran

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  • ShawnLogan
    ShawnLogan over 1 year ago

    Dear Saikiran IND,

    Saikiran IND said:
     I am working on something and wanted to know how the cadence/spectre/spice approach to solving a circuit (especially a MOS device) changes when there is an instance of a topological change (defect). For instance, how is the nodal solution generated for a 5T op amp and how does the approach differ in the presence of a Gate-Drain or a Gate-Source short in any of the devices in the 5T? 

    A "solver" knows nothing about a "topological change" unless you purposefully include the impact of the change in the netlist that serves as one of the solver's input. A second input to the solver (which could be considered the same) are the models for the devices you included in your netlist. From the models and the circuit topology you included in the netlist, a set of equations is generated and solved using one of a number of numerical integration techniques.

    Saikiran IND said:
    Are there any reference materials you can share such that we can see how analytically the solution in any circuit (especially one with a MOS device) is modelled and solved?

    i might suggest you study available online material for SPICE - which was really one of the first major circuit simulators and developed at University of California Berkeley many years ago. Perhaps I am misunderstanding your question, but I assume you may not be familiar with circuit simulators. There are many, many textbooks that describe SPICE in detail and include the mechanics of its various means for numerical integration. A more advanced text is The Designer's Guide to SPICE and Spectre by Ken Kundert, There are also texts and many articles on the models for MOS devices, such as MOSFET Models for SPICE Simulation: Including BSIM3v3 and BSIM4 published by IEEE press and by William Liu.

    I hope I understood your basic question and this is of some help Saikiran IND.

    Shawn

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  • ShawnLogan
    ShawnLogan over 1 year ago

    Dear Saikiran IND,

    Saikiran IND said:
     I am working on something and wanted to know how the cadence/spectre/spice approach to solving a circuit (especially a MOS device) changes when there is an instance of a topological change (defect). For instance, how is the nodal solution generated for a 5T op amp and how does the approach differ in the presence of a Gate-Drain or a Gate-Source short in any of the devices in the 5T? 

    A "solver" knows nothing about a "topological change" unless you purposefully include the impact of the change in the netlist that serves as one of the solver's input. A second input to the solver (which could be considered the same) are the models for the devices you included in your netlist. From the models and the circuit topology you included in the netlist, a set of equations is generated and solved using one of a number of numerical integration techniques.

    Saikiran IND said:
    Are there any reference materials you can share such that we can see how analytically the solution in any circuit (especially one with a MOS device) is modelled and solved?

    i might suggest you study available online material for SPICE - which was really one of the first major circuit simulators and developed at University of California Berkeley many years ago. Perhaps I am misunderstanding your question, but I assume you may not be familiar with circuit simulators. There are many, many textbooks that describe SPICE in detail and include the mechanics of its various means for numerical integration. A more advanced text is The Designer's Guide to SPICE and Spectre by Ken Kundert, There are also texts and many articles on the models for MOS devices, such as MOSFET Models for SPICE Simulation: Including BSIM3v3 and BSIM4 published by IEEE press and by William Liu.

    I hope I understood your basic question and this is of some help Saikiran IND.

    Shawn

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