Controlling Power Consumption in a Heterogeneous Population Model of TCLs with Diffusion: The Green’s Function Approach

Controlling Power Consumption in a Heterogeneous Population Model of TCLs with Diffusion: The Green’s Function Approach

We consider a control problem for a diffusive PDE model of heterogeneous population of thermostatically controlled loads (TCLs) aiming to balance the aggregate power consumption within a given amount of time. Using the Green’s function approach, the problem is formulated as an approximate...

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Bibliographic Details
Main Authors: Md Musabbir Hossain, Asatur Zh. Khurshudyan
Format: Article
Language:English
Published: MDPI AG 2019-06-01
Series:Mathematics
Subjects:
PDE
power consumption
TCLs
control
minimization
Online Access:https://www.mdpi.com/2227-7390/7/6/523

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