DOI:10.1007/s40565-018-0396-2 |
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Aggregate modeling and analysis of air conditioning load using coupled Fokker–Planck equations |
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Net amount: 810 |
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Author:
Dingyi CHENG1, Wen ZHANG1, Yutian LIU1
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Author Affiliation:
1. Key Laboratory of Power System Intelligent Dispatch and Control of Ministry of Education, Shandong University, Jinan 250061, China
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Foundation: |
This work was supported by National Natural
Science Foundation of China (No. 51177093). |
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Abstract: |
Demand response has gained significant attention
recently with the increasing penetration of renewable
energy sources in power systems. Air conditioning loads
are typical thermostatically controlled loads which can play
an active role in ancillary services by regulating their
aggregated power consumption. The aggregation of air
conditioners is essential to the control of air conditioning
loads. In this paper, linear state equations are proposed to
aggregate air conditioning loads by solving coupled Fokker–Planck
equations (CFPEs) using the finite difference
method. By analyzing the numerical stability and convergence
of the difference scheme, the grid spacings, including
temperature step and time step, are properly determined
according to the maximal principle. Stationary solutions of
the CFPEs are obtained by analytical and numerical
methods. Furthermore, a classification method using
dimension reduction is proposed to deal with the problem
of heterogeneous parameters and interval estimation is
applied to describe the stochastic behavior of air conditioning
loads. The simulation results verify the effectiveness
of the proposed methods. |
Keywords: |
Aggregate model, Air conditioner,
Coupled Fokker–Planck equation, Grid spacing selection,
Heterogeneous, Interval estimation, Linear state equation,
Stationary solution |
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Online Time:2018/11/11 |
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