Adaptive sparse matrix indexing technique for simulation of electronic circuits based on &amp;#x03BB;-calculus

Cerny, David; Dobeš, Josef

doi:10.1109/ecctd.2015.7300054

Cited by 2 publications

(3 citation statements)

References 6 publications

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“…Each object of class IndexMatrix represents a R-IM through two lists of indices and a two-dimensional array. Static methods Sum() and Multiplication() implement the operations, which are considered in (7) and (11). The method Solve() transforms a R-IM analog of discrete dynamical system model (21) (see ( 48)) to a R-IM analog of equation (20) in order that state variables can be calculated in a step-wise manner at each simulation step.…”

Section: Software Implementation Based On R-imsmentioning

confidence: 99%

“…An example of the application of such a system on a DC-DC boost converter operation is demonstrated in [4]. Software implementations (see [5,6]) are useful with changing dependencies, because many estimations cannot be performed simply in this case; however, generally, power converters can be modeled with straightforward algorithms so that suitable simulations (based on non-constant matrices) can be performed [7][8][9].…”

Section: Introductionmentioning

confidence: 99%

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Index Matrices—Based Software Implementation of Power Electronic Circuit Design

2022

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This article aims to present a comprehensive approach with corresponding software that uses index matrices. They have been developed by the authors for an automated model-based design. One of the main goals of this paper is to propose a simple model solving technique for powering electronic devices (particularly, for all subsystems: power supplies, static power converters, electric filters, electrical loads, control systems, etc.). Index matrices, which contain first-order discrete dynamical system parameters, with real numbers as elements, are constructed in order so that voltages, amperages, and discrete values can be calculated. Simulations on a three-phase converter, as well as simulations on buck and boost DC-DC converters with PI controllers, are presented. The function of the proposed software (with examples on the aforementioned devices) is considered, and diagrams of its basic programming classes are shown. The latter draws electronic schemes and their respective graphics, and provides important characteristics. Simulink is used to verify results. Advantages of the proposed approach are a higher speed of calculations (compared to Simulink, due to a lack of differential equations) and a simpler handling of various electronic components. Additionally, a computational scalability is demonstrated.

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Section: Software Implementation Based On R-imsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Index Matrices—Based Software Implementation of Power Electronic Circuit Design

2022

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“…The main aspect of this is that for each unknown (e.g., voltage nodes) it increases the dimension of the assembled matrix [18]. It is quite easy to realize that for huge circuits with a large number of nodes, the matrix will be both huge but also practically almost empty [19]. Therefore, when simulating electrical circuits, we will almost always have something to do with the solution of a linear system of equations defined by a huge sparse matrix.…”

Section: Introductionmentioning

confidence: 99%

GPU Accelerated Nonlinear Electronic Circuits Solver for Transient Simulation of Systems with Large Number of Components

Cerny

Dobeš

2020

Electronics

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GPU cards have been used for scientific calculations for many years. Despite their ever-increasing performance, there are cases where they may still have problems. This article addresses possible performance and memory issues and their solutions that may occur during GPU calculations of iterative algorithms. Specifically, the article focuses on the optimization of transient simulation of extra-large highly nonlinear time-dependent circuits in SPICE-like electronic circuit simulator core enhanced with NVIDIA/CUDA (Compute Unified Device Architecture) interface and iterative Krylov Subspace methods with emphasis on improved accuracy. The article presents procedures for solving problems that may occur during this integration and negatively affect either the simulation speed or the accuracy of the calculation. Finally, a comparison of the implementation of an iterative calculation procedure with the use of GPU cards, calculation by the direct method and calculation on the CPU only is presented.

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Adaptive sparse matrix indexing technique for simulation of electronic circuits based on λ-calculus

Cited by 2 publications

References 6 publications

Index Matrices—Based Software Implementation of Power Electronic Circuit Design

Index Matrices—Based Software Implementation of Power Electronic Circuit Design

GPU Accelerated Nonlinear Electronic Circuits Solver for Transient Simulation of Systems with Large Number of Components

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