Controllability Analysis of Aggregate Demand Response System in Multiple Price-Change Situation
Summary :
The paper studies controllability of an aggregate demand response system, i.e., the amount of the change of the total electric consumption in response to the change of the electric price, for real-time pricing (RTP). In order to quantify the controllability, this paper defines the controllability index as the lowest occurrence probability of the total electric consumption when the best possible the electric price is chosen. Then the paper formulates the problem which finds the consumer group maximizing the controllability index. The controllability problem becomes hard to solve as the number of consumers increases. To give a solution of the controllability problem, the article approximates the controllability index by the generalized central limit theorem. Using the approximated controllability index, the controllability problem can be reduced to a problem for solving nonlinear equations. Since the number of variables of the equations is independent of the number of consumers, an approximate solution of the controllability problem is obtained by numerically solving the equations.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.2 pp.376-384
- Publication Date
- 2017/02/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E100.A.376
- Type of Manuscript
- Special Section PAPER (Special Section on Mathematical Systems Science and its Applications)
- Category
Authors
Kazuhiro SATO
Kyoto University
Shun-ichi AZUMA
Kyoto University
Keyword
Latest Issue
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Kazuhiro SATO, Shun-ichi AZUMA, "Controllability Analysis of Aggregate Demand Response System in Multiple Price-Change Situation" in IEICE TRANSACTIONS on Fundamentals,
vol. E100-A, no. 2, pp. 376-384, February 2017, doi: 10.1587/transfun.E100.A.376.
Abstract: The paper studies controllability of an aggregate demand response system, i.e., the amount of the change of the total electric consumption in response to the change of the electric price, for real-time pricing (RTP). In order to quantify the controllability, this paper defines the controllability index as the lowest occurrence probability of the total electric consumption when the best possible the electric price is chosen. Then the paper formulates the problem which finds the consumer group maximizing the controllability index. The controllability problem becomes hard to solve as the number of consumers increases. To give a solution of the controllability problem, the article approximates the controllability index by the generalized central limit theorem. Using the approximated controllability index, the controllability problem can be reduced to a problem for solving nonlinear equations. Since the number of variables of the equations is independent of the number of consumers, an approximate solution of the controllability problem is obtained by numerically solving the equations.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.376/_p
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@ARTICLE{e100-a_2_376,
author={Kazuhiro SATO, Shun-ichi AZUMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Controllability Analysis of Aggregate Demand Response System in Multiple Price-Change Situation},
year={2017},
volume={E100-A},
number={2},
pages={376-384},
abstract={The paper studies controllability of an aggregate demand response system, i.e., the amount of the change of the total electric consumption in response to the change of the electric price, for real-time pricing (RTP). In order to quantify the controllability, this paper defines the controllability index as the lowest occurrence probability of the total electric consumption when the best possible the electric price is chosen. Then the paper formulates the problem which finds the consumer group maximizing the controllability index. The controllability problem becomes hard to solve as the number of consumers increases. To give a solution of the controllability problem, the article approximates the controllability index by the generalized central limit theorem. Using the approximated controllability index, the controllability problem can be reduced to a problem for solving nonlinear equations. Since the number of variables of the equations is independent of the number of consumers, an approximate solution of the controllability problem is obtained by numerically solving the equations.},
keywords={},
doi={10.1587/transfun.E100.A.376},
ISSN={1745-1337},
month={February},}
Copy
TY - JOUR
TI - Controllability Analysis of Aggregate Demand Response System in Multiple Price-Change Situation
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 376
EP - 384
AU - Kazuhiro SATO
AU - Shun-ichi AZUMA
PY - 2017
DO - 10.1587/transfun.E100.A.376
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2017
AB - The paper studies controllability of an aggregate demand response system, i.e., the amount of the change of the total electric consumption in response to the change of the electric price, for real-time pricing (RTP). In order to quantify the controllability, this paper defines the controllability index as the lowest occurrence probability of the total electric consumption when the best possible the electric price is chosen. Then the paper formulates the problem which finds the consumer group maximizing the controllability index. The controllability problem becomes hard to solve as the number of consumers increases. To give a solution of the controllability problem, the article approximates the controllability index by the generalized central limit theorem. Using the approximated controllability index, the controllability problem can be reduced to a problem for solving nonlinear equations. Since the number of variables of the equations is independent of the number of consumers, an approximate solution of the controllability problem is obtained by numerically solving the equations.
ER -
English
