Local and global stability analysis of a Curzon–Ahlborn model applied to power plants working at maximum <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e1219" altimg="si33.svg"><mml:mi>k</mml:mi></mml:math>-efficient power

Valencia-Ortega, G.; Levario-Medina, S.; Barranco-Jiménez, M. A.

doi:10.1016/j.physa.2021.125863

Cited by 13 publications

(6 citation statements)

References 47 publications

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“…Being â, b, and ĉ with dimensions $/ mol the equivalent constants to a, b and c previously defined in (21). W and N are the functions depending on ξ and ξ c given in (42) and (43). N max is analogous to Q max , defined as…”

Section: = +mentioning

confidence: 99%

Optimal efficiencies of an isothermal endoreversible chemical engine

Parga-Regalado¹

2023

Eur. J. Phys.

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In the context of finite-time thermodynamics, an instructive study of the thermodynamic and thermoeconomic optimization analysis of Novikov engine models is presented. The so-called objective functions of the maximum power, ecological and efficient power regimes of operation are introduced. The study addresses the optimization methodology to obtain the efficiencies that maximize the various functions. An isothermal chemical engine is used as an analogy to Novikov’s engine to demonstrate the physical and mathematical procedures. Didactically, new results are presented through expanding prior research.

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Section: = +mentioning

confidence: 99%

Optimal efficiencies of an isothermal endoreversible chemical engine

Parga-Regalado¹

2023

Eur. J. Phys.

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“…The analysis of external perturbations on different types of thermal cycle models has been topic of interest [49][50][51][52]. Since thermal engines operate with many cycles per unit time, the effect of noisy perturbations has been able to help to have a well-design systems guaranteeing stability in their operating regimes (steady-state regimes) [53][54][55]. In several analysis on LIT [9,29,[56][57][58], it has been shown that spontaneous fluctuations on a particular steady state drive the system back to its condition of minimum entropy production.…”

Section: Boundary Conditions Qmentioning

confidence: 99%

Energy conversion theorems for some linear steady-states

Arias-Hernandez¹,

Valencia-Ortega²,

Angulo‐Brown³

et al. 2021

Preprint

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One of the main issues that real energy converters present, when they produce effective work, is the inevitable entropy production. Within the context of Non-equilibrium Thermodynamics, entropy production tends to energetically degrade man-made or living systems. On the other hand, it is also not useful to think about designing an energy converter that works in the so-called minimum entropy production regime since the effective power output and efficiency are zero. In this manuscript, we establish some Energy Conversion Theorems analogous to Prigogine's one, their purpose is to reveal trade-offs between design and the so-called operation modes for (2 × 2)linear isothermal energy converters. The objective functions that give rise to those thermodynamic constraints show stability. A two-meshes electric circuit was built as an example to demonstrate the Theorems' validity. Likewise, we reveal a type of energetic hierarchy for power output, efficiency and dissipation function when the circuit is tuned to any of the operating regimes studied here: maximum power output (M P O), maximum efficient power (M P η), maximum omega function (M Ω), maximum ecological function (M EF ), maximum efficiency (M η) and minimum dissipation function (mdf ).

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“…As a further extension of traditional irreversible process thermodynamics, finite time thermodynamics [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 ] have been applied to analyze and optimize performances of actual thermodynamic cycles, and great progress has been made. The application of finite time thermodynamics to study the optimal performance of Diesel cycles represents a new technology for improving and optimizing Diesel heat engines, and a new method for studying Diesel cycles has been developed.…”

Section: Introductionmentioning

confidence: 99%

Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Diesel Cycle

Shi

Chen

2021

Entropy

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Applying finite time thermodynamics theory and the non-dominated sorting genetic algorithm-II (NSGA-II), thermodynamic analysis and multi-objective optimization of an irreversible Diesel cycle are performed. Through numerical calculations, the impact of the cycle temperature ratio on the power density of the cycle is analyzed. The characteristic relationships among the cycle power density versus the compression ratio and thermal efficiency are obtained with three different loss issues. The thermal efficiency, the maximum specific volume (the size of the total volume of the cylinder), and the maximum pressure ratio are compared under the maximum power output and the maximum power density criteria. Using NSGA-II, single-, bi-, tri-, and quadru-objective optimizations are performed for an irreversible Diesel cycle by introducing dimensionless power output, thermal efficiency, dimensionless ecological function, and dimensionless power density as objectives, respectively. The optimal design plan is obtained by using three solution methods, that is, the linear programming technique for multidimensional analysis of preference (LINMAP), the technique for order preferences by similarity to ideal solution (TOPSIS), and Shannon entropy, to compare the results under different objective function combinations. The comparison results indicate that the deviation index of multi-objective optimization is small. When taking the dimensionless power output, dimensionless ecological function, and dimensionless power density as the objective function to perform tri-objective optimization, the LINMAP solution is used to obtain the minimum deviation index. The deviation index at this time is 0.1333, and the design scheme is closer to the ideal scheme.

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Local and global stability analysis of a Curzon–Ahlborn model applied to power plants working at maximum k-efficient power

Cited by 13 publications

References 47 publications

Optimal efficiencies of an isothermal endoreversible chemical engine

Optimal efficiencies of an isothermal endoreversible chemical engine

Energy conversion theorems for some linear steady-states

Performance Optimizations with Single-, Bi-, Tri-, and Quadru-Objective for Irreversible Diesel Cycle

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