Investigating limit cycle in a free piston Stirling engine using describing function technique and genetic algorithm

Zare, Shahryar; Tavakolpour-Saleh, Alireza; Sangdani, M. H.

doi:10.1016/j.enconman.2020.112706

Cited by 27 publications

(4 citation statements)

References 33 publications

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“…Their process was able to provide 361 KW electrical power output and 965 KW thermal power at an average purchasing cost of €18,059 at the optimum decision variable prices. More recently, Zare et al [14] have suggested a novel methodology to test the efficiency of piston-free Stirling engines based on the objective function and genetic algorithm. This innovative technique has been used to calculate the phase angle, the displacement, stroke of power piston, and the frequency of piston-free Stirling engine.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Thermodynamic Modelling for Gamma Type Double Piston Cylinder Engine

Rab

Catapano²,

Maria³

2021

E3S Web Conf.

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The exhaust of an automotive engine is one of the main causes of air pollution. These days, many researchers are investigating the waste heat recovery of automotive engines. A two-cylinder gamma-type Stirling engine is chosen for this purpose. The exhaust of a diesel engine is chosen as a heat input source for this purpose. This work explains the isothermal, ideal adiabatic, and non-ideal simple analysis of the Stirling engine. A set of differential equations are solved using Runge-Kutta 4th order method using MATLAB software. These equations describe the pressure, pressure variation, mass, mass flow, and energy flow in the Stirling engine which estimate the power and efficiency. Using non-ideal simple analysis, pressure drop analysis, piston finite speed, heat transfer losses of Stirling engine are calculated. The power estimated by isothermal, adiabatic, simple, and experimental analysis is 133.82 W, 143.75 W, 93.2 W, 111.43 W, and thermal efficiency is 30.70 %, 30.90%, 21.20%, 24.70% respectively. The results of these models are in close agreement with the experimental results.

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Section: Introductionmentioning

confidence: 99%

Analysis of Thermodynamic Modelling for Gamma Type Double Piston Cylinder Engine

Rab

Catapano²,

Maria³

2021

E3S Web Conf.

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“…Recently, studies on the dynamic analysis of free-piston Stirling engines have mainly focused on nonlinear analysis models to which various theories, such as artificial neural network and genetic algorithm, are applied based on the same vibration equation [16][17][18].…”

Section: Of 21mentioning

confidence: 99%

Linear Dynamic Analysis of Free-Piston Stirling Engines on Operable Charge Pressure and Working Frequency along with Experimental Verifications

Kim

Sim

2021

Applied Sciences

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This paper presents a linear dynamic analysis on operable charge pressure and working frequency of free-piston Stirling engines (FPSE) along with experimental verifications. The equations of motion of the FPSE are formulated as a 2-degree-of-freedom (DOF) vibration system of the power piston (PP) and displacer piston (DP), based on the state equation of ideal gas and the isothermal Stirling cycle model. The dynamic models of FPSE we considered are the 1-DOF simple vibration model of each piston and the 2-DOF root locus model of coupled pistons. We developed a test FPSE for verification of the dynamic models and conducted a series of experiments to measure the dynamic behaviors of PP and DP under varying charge pressures for various masses and stiffnesses of the PP. As a result, both prediction models showed good agreements with experimental results. The 1-DOF vibration model was found to be simple and effective for predicting the operating frequency and charge pressure of FPSE. The root locus method showed reasonable predictions with an operation criterion of the PP–DP phase angle of 90°. In addition, the FPSE was confirmed to operate in resonant oscillations when the DP–PP phase angle is 90°, based on analysis of the force vector diagram of the two pistons.

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“…The nonlinear terms of the springs of the power piston were analyzed. Under stable conditions, the frequency and the displacement of the two pistons were 72.2 Hz, 5.8 mm, and 12 mm, respectively 23,24 . Yang established a modified nonideal adiabatic model of a γ‐type FPSE to obtain the dynamic behaviors of the displacer and power piston.…”

Section: Introductionmentioning

confidence: 99%

Influences of nonlinear parameters on the performance of a free‐piston Stirling engine

Ye,

Wang,

Yan

et al. 2023

Energy Science & Engineering

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This study presents a thermodynamic–dynamic model of a free‐piston Stirling engine (FPSE) with nonlinear coefficients of spring, load damping, and pressure for working spaces. The effects of the nonlinear coefficients of hardening and softening springs on the movement and operating frequency of a displacer and piston are investigated. Subsequently, the influences of the nonlinear pressure terms of the working space and buffer spaces, as well as the nonlinear coefficients of the load on the amplitudes of the two pistons, frequency, and output powers are discussed. The results indicate that the low nonlinear coefficients of the spring have a minor effect on the amplitudes and frequency. As the high nonlinear coefficients of the hardening spring increase, the amplitudes and output power decrease, while the frequency increases. As the nonlinear terms of the softening spring increase, the amplitudes and output power reach maximum values, but the frequency is reduced by 3.55%. The effects of the nonlinear pressure terms on the amplitudes and output power are not evident. However, an increase in the nonlinear load leads to a significant decrease in the FPSE's performance.

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Investigating limit cycle in a free piston Stirling engine using describing function technique and genetic algorithm

Cited by 27 publications

References 33 publications

Analysis of Thermodynamic Modelling for Gamma Type Double Piston Cylinder Engine

Analysis of Thermodynamic Modelling for Gamma Type Double Piston Cylinder Engine

Linear Dynamic Analysis of Free-Piston Stirling Engines on Operable Charge Pressure and Working Frequency along with Experimental Verifications

Influences of nonlinear parameters on the performance of a free‐piston Stirling engine

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