Automatic Simplified Symbolic Analysis of Analog Circuits Using Modified Nodal Analysis and Genetic Algorithm

Shokouhifar, Mohammad; Jalali, Ali

doi:10.1142/s0218126615500565

Cited by 13 publications

(4 citation statements)

References 13 publications

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“…The objectives of the proposed multi‐objective optimization problem are not only to find the most simplified symbolic transfer functions with the minimum number of terms but also to minimize errors between the exact and simplified expressions while satisfying the defined constraints. So, this is a constrained multi‐objective optimization problem 22,33,34 . The proposed algorithm must be executed three times while satisfying the constraints for simplification of the three symbolic expressions of

\overset{V_{n, out}^{2}}{true}

, A v and NF .…”

Section: Proposed Simplification Methodologymentioning

confidence: 99%

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An efficient method to compute simplified noise parameters of analog amplifiers using symbolic and evolutionary approach

Panda

Patnaik

Mal

2020

Int J Numerical Modelling

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Symbolic circuit analysis suffers as the symbolic terms increases by many folds with the increase in the size of the circuit. Hence simplification techniques are used for the analysis of the circuits which are larger in size. In this work, multi-objective evolutionary optimisation algorithms for obtaining simplified symbolic expressions of analog amplifier circuits are presented which are not only very efficient in terms of speed and the amount of circuit reduction but also solve the accuracy problems. Initially, all MOSFETs are replaced with their nullor equivalent model. Then, the formulation of accurate fullysymbolic noise expressions is carried out by the application of symbolic nodal analysis. The derived exact symbolic expressions are then simplified using an evolutionary approach. This method has been successfully coded in MATLAB. The numerical results obtained before and after simplification are compared with SPICE simulation to demonstrate the efficiency of the proposed methodology.

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\overset{V_{n, out}^{2}}{true}

, A v and NF .…”

Section: Proposed Simplification Methodologymentioning

confidence: 99%

“…So, this is a constrained multi-objective optimization problem. 22,33,34 The proposed algorithm must be executed three times while satisfying the constraints for simplification of the three symbolic expressions of V 2 n,out , A v and NF. There are six objective functions, all to be minimized.…”

Section: Objective Functionmentioning

confidence: 99%

An efficient method to compute simplified noise parameters of analog amplifiers using symbolic and evolutionary approach

Panda

Patnaik

Mal

2020

Int J Numerical Modelling

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“…Recently, various swarm and evolutionary metaheuristic algorithms [29][30][31][32][33][34] have been applied for the simplified symbolic analysis of OTAs. In these techniques, different criteria such as the magnitude error, phase error, and pole/zero displacements, have been used to evaluate feasible solutions generated by the metaheuristic algorithm.…”

Section: Symbolic Simplification Techniquesmentioning

confidence: 99%

Mathematical Root Simplification in Operational Amplifiers using an Ensemble Heuristic-Metaheuristic Algorithm

Behmanesh-Fard¹,

Yazdanjouei²,

Shokouhifar³

et al. 2023

Preprint

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Symbolic pole/zero analysis is an important step when designing an analog operational amplifier. Generally, a simplified symbolic analysis of analog circuits suffers from NP-hardness, i.e., an exponential growth of the number of symbolic terms of the transfer function with the circuit size. In this study, we present a mathematical model combined with a heuristic-metaheuristic solution method for the symbolic pole/zero simplification in operational transconductance amplifiers (OTA). At first, the circuit is symbolically solved and an improved root splitting method is applied to extract symbolic poles/zeroes from the exact expanded transfer function. Then, a hybrid algorithm based on heuristic information and a metaheuristic technique using simulated annealing is performed for the simplification of the derived symbolic pole/zero expressions. The developed method has been tested on three analog OTAs. The obtained results show the effectiveness of the proposed method to achieve accurate simplified symbolic pole/zero expressions with the least complexity.

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“…Importantly, the MNA method has become a commodity for electrical circuit simulators [43]. To the best of our knowledge, MNA has been first used in PSpice and since then by most Spice-like simulators [39,56,55,37,54,28,6].…”

mentioning

confidence: 99%

Revisiting the nodal voltage method for both human comprehension and software implementation: Towards a teaching/self‐learning simulation tool

Sousa

Rocha

Alves

et al. 2021

Comp Applic In Engineering

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This paper outlines an application-dubbed U=RIsolve (read as "you resolve")-for helping students to learn the Nodal (or Node) Voltage Analysis method (NVM, for short) for electrical circuit analysis. The NVM enables determining the voltage in every Node in the circuit, related to a reference (Ground) Node. In turn, this enables to compute the current in every Branch (and therefore, the voltage across every component). The U = RIsolve application goes far beyond the capabilities of traditional circuit simulators; as it outputs the fundamental circuit information, the methodology, the equations, and the results related to the NVM for a given circuit previously simulated in Quite Universal Circuit Simulator (QUCS). QUCS can generate a text file (called netlist) that identifies all the circuit components/connections and that serves as an input to the U = RIsolve application. Additionally, users can also upload the circuit schematics to facilitate the analysis of the U = RIsolve output. Then, the user just needs to click a button to get all the reasoning of the NVM analysis.

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Automatic Simplified Symbolic Analysis of Analog Circuits Using Modified Nodal Analysis and Genetic Algorithm

Cited by 13 publications

References 13 publications

An efficient method to compute simplified noise parameters of analog amplifiers using symbolic and evolutionary approach

An efficient method to compute simplified noise parameters of analog amplifiers using symbolic and evolutionary approach

Mathematical Root Simplification in Operational Amplifiers using an Ensemble Heuristic-Metaheuristic Algorithm

Revisiting the nodal voltage method for both human comprehension and software implementation: Towards a teaching/self‐learning simulation tool

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