Uniform Cooling: An Optimal Control Approach
نویسنده
چکیده
An optimal control problem for the heat equation is considered. The form of the functional is chosen to guarantee a uniform cooling of a rod. The problem is approximated by a finite dimensional optimal control problem. The optimal solution to the latter problem is studied analytically. It is shown that the original problem can be reduced to a simple three-dimensional optimization problem.
منابع مشابه
An Innovation in Film Cooling of the Gas Turbine Blades Applying an Upstream Jet
A new design concept is introduced to control the near-wall integration between the hot-gas boundary layer and the cooling jets in order to enhance the adiabatic film cooling effectiveness of the gas turbine blades. In this new approach, another film cooling port, having a very low blowing ratio, which prevents formation of the counter-rotating vortex pare, is applied just upstream of the main ...
متن کاملOPTIMAL CONTROL OF PUMPING STATIONS IN OPEN CHANNELS BY METAHEURISTIC FIREFLY ALGORITHM
Optimum control of upstream pumping station in open channels with given constraint in downstream end is presented in this paper. The upstream control is capable of minimizing water level fluctuations in the channel in which the downstream pumping station causes an undesirable wave. The proposed method combines an unsteady non-uniform flow solver with shock-capturing capability, Fourier series a...
متن کاملFrictionless atom cooling in harmonic traps: a time-optimal approach
In this article we formulate frictionless atom cooling in harmonic traps as a time-optimal control problem, permitting imaginary values of the trap frequency for trasient time intervals during which the trap becomes an expulsive parabolic potential. We show that the minimum time solution has “bang-bang” form, where the frequency jumps suddenly at certain instants and then remains constant, and ...
متن کاملPii: S0196-8904(01)00171-6
In the design and operation of cold storage systems, the problems of saving operation cost and improving global economics of whole systems are equally important. Based on optimal control, yearly dynamic cooling loads and payback period, a method to design an optimal scheme is proposed. An approach to calculate and choose the chiller and cold storage tank for the optimal scheme is provided in th...
متن کاملReducing Energy Costs and Peak Electrical Demand through Optimal Control of Building Thermal Storage
This paper describes an investigation into the use of building thermal capacitance as a means of reducing the operating costs associated with maintaining adequate comfort conditions in buildings (termed "dynamic building control"). The state of the building thermal storage can be controlled through variations of the zone temperatures over time within the thermal comfort region. The primary oppo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2003