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We propose a generalized model of a heat engine and calculate the minimum and maximum bounds on the efficiency at maximum power. We obtain a universal form of generalized extreme bounds on the efficiency at maximum power. Our model unifies…

统计力学 · 物理学 2020-01-29 M Ponmurugan

Power systems are undergoing unprecedented transformations with the incorporation of larger amounts of renewable energy sources, distributed generation and demand response. All these changes, while potentially making power grids more…

最优化与控制 · 数学 2015-02-06 Krishnamurthy Dvijotham , Steven Low , Michael Chertkov

The concepts of weighted reciprocal of temperature and weighted thermal flux are proposed for a heat engine operating between two heat baths and outputting mechanical work. With the aid of these two concepts, the generalized thermodynamic…

统计力学 · 物理学 2014-01-23 Shiqi Sheng , Z. C. Tu

The thermoelectric performance at a given output power of a voltage-probe heat engine, exposed to an external magnetic field, is investigated in linear irreversible thermodynamics. For the model, asymmetric parameter, general figures of…

量子物理 · 物理学 2024-01-25 Zahra Sartipi , Javad Vahedi

A specific class of stochastic heat engines driven cyclically by time-dependent potential, which is defined in the half-line ($0<x<+\infty$), is analysed. For such engines, most of their physical quantities can be obtained explicitly,…

统计力学 · 物理学 2020-02-18 Yunxin Zhang

Heat engines should ideally have large power output, operate close to Carnot efficiency and show constancy, i.e., exhibit only small fluctuations in this output. For steady-state heat engines, driven by a constant temperature difference…

统计力学 · 物理学 2018-05-15 Patrick Pietzonka , Udo Seifert

For a general thermodynamic system described as a Markov process, we prove a general lower bound for dissipation in terms of the square of the heat current, thus establishing that nonvanishing current inevitably implies dissipation. This…

统计力学 · 物理学 2016-11-02 Naoto Shiraishi , Keiji Saito , Hal Tasaki

In this paper, we derive a number of inequalities which express power-efficiency trade-offs that hold generally for thermodynamic machines operating in non-equilibrium stationary states. One of these inequalities concerns the output power,…

统计力学 · 物理学 2019-09-04 Hadrien Vroylandt , David Lacoste , Gatien Verley

We study how maximum output power can be obtained from a thermoelectric generator(TEG) with nonideal heat exchangers. We demonstrate with an analytic approach based on a force-flux formalism that the sole improvement of the intrinsic…

经典物理 · 物理学 2012-01-06 Y. Apertet , H. Ouerdane , O. Glavatskaya , C. Goupil , Ph. Lecoeur

The optimal power flow (OPF) is an optimization model dedicated to the development of computational tools used for the planning and operation of electric power systems (EPS). In this work, based on the polar formulation, an extended convex…

The Carnot heat engine sets an upper bound on the efficiency of a heat engine. As an ideal, reversible engine, a single cycle must be performed in infinite time, and so the Carnot engine has zero power. However, there is nothing in…

高能物理 - 理论 · 物理学 2018-07-11 Clifford V. Johnson

We study the non-equilibrium thermodynamics of a heat engine operating between two finite-sized reservoirs with well-defined temperatures. Within the linear response regime, it is found that the uniform temperature of the two reservoirs at…

统计力学 · 物理学 2022-03-03 Hong Yuan , Yu-Han Ma , C. P. Sun

Producing useful electrical work in consuming chemical energy, the fuel cell have to reject heat to its surrounding. However, as it occurs for any other type of engine, this thermal energy cannot be exchanged in an isothermal way in finite…

化学物理 · 物理学 2010-08-31 A. Vaudrey , P. Baucour , F. Lanzetta , R. Glises

We derive the general relations between the maximum power, maximum efficiency and minimum dissipation for the irreversible heat engine in nonlinear response regime. In this context, we use the minimally nonlinear irreversible model and…

统计力学 · 物理学 2018-01-31 I. Iyyappan , M. Ponmurugan

There is intense effort into understanding the universal properties of finite-time models of thermal machines---at optimal performance---such as efficiency at maximum power, coefficient of performance at maximum cooling power, and other…

统计力学 · 物理学 2018-05-23 Ramandeep S. Johal

Physical systems driven away from equilibrium by an external controller dissipate heat to the environment; the excess entropy production in the thermal reservoir can be interpreted as a "cost" to transform the system in a finite time. The…

统计力学 · 物理学 2024-12-31 Jérémie Klinger , Grant M. Rotskoff

A soft-max function has two main efficiency measures: (1) approximation - which corresponds to how well it approximates the maximum function, (2) smoothness - which shows how sensitive it is to changes of its input. Our goal is to identify…

机器学习 · 计算机科学 2026-01-01 Alessandro Epasto , Mohammad Mahdian , Vahab Mirrokni , Manolis Zampetakis

Power and efficiency of heat engines are two conflicting objectives, and a tight efficiency bound is expected to give insights on the fundamental properties of the power-efficiency tradeoff. Here we derive an upper bound on the efficiency…

统计力学 · 物理学 2021-10-27 Takuya Kamijima , Shun Otsubo , Yuto Ashida , Takahiro Sagawa

We use the general formulation of irreversible thermodynamics and study the minimally nonlinear irreversible model of heat engines operating between a time-varying hot heat source of finite size and a cold heat reservoir of infinite size.…

统计力学 · 物理学 2018-11-27 M. Ponmurugan

Achieving the Carnot efficiency at finite power is a challenging problem in heat engines due to the trade-off relation between efficiency and power that holds for general heat engines. It is pointed out that the Carnot efficiency at finite…

统计力学 · 物理学 2022-03-03 Kosuke Miura , Yuki Izumida , Koji Okuda