### Abstract

We model the aggregate overnight demand for electricity by a large community of (possibly hybrid) plug-in electric vehicles (PEVs) each of whose power demand follows a prescribed profile and is interruptible. The community is served by a regional electrical utility which is assumed to purchase electricity from a state/national distribution grid according to a flat-rate Φ per kilowatt-unit-time up to a threshold L, and thereafter overage (demand > L) charges π > Φ are leveed per kilowatt-unit-time. Rather than a spot-price system for household consumers (which would necessarily need to be operated by automated means overnight when most consumers sleep), the 'grid' (regional utility) is 'smart' in that it monitors its total load and, when overages threaten, can reduce load by signaling certain consumers to interrupt charging and defer their charging load by one unit of time. In this paper, we model the uninterrupted load by a Gaussian process which we justify by means of a functional central limit theorem (FCLT). This limiting Gaussian process is the arrival process of a discrete-time queue which is used to model the (partially) interrupted and deferred load over a finite time-horizon. We can then compute the mean amount of overage at the end of this time horizon (say at 6 AM when charging is to be completed ahead of the morning commute).

Original language | English (US) |
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Title of host publication | 2012 IEEE International Conference on Communications, ICC 2012 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 3322-3327 |

Number of pages | 6 |

ISBN (Print) | 9781457720529 |

DOIs | |

State | Published - Jan 1 2012 |

Event | 2012 IEEE International Conference on Communications, ICC 2012 - Ottawa, ON, Canada Duration: Jun 10 2012 → Jun 15 2012 |

### Publication series

Name | IEEE International Conference on Communications |
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ISSN (Print) | 1550-3607 |

### Other

Other | 2012 IEEE International Conference on Communications, ICC 2012 |
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Country | Canada |

City | Ottawa, ON |

Period | 6/10/12 → 6/15/12 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Computer Networks and Communications
- Electrical and Electronic Engineering

### Cite this

*2012 IEEE International Conference on Communications, ICC 2012*(pp. 3322-3327). [6363650] (IEEE International Conference on Communications). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICC.2012.6363650

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*2012 IEEE International Conference on Communications, ICC 2012.*, 6363650, IEEE International Conference on Communications, Institute of Electrical and Electronics Engineers Inc., pp. 3322-3327, 2012 IEEE International Conference on Communications, ICC 2012, Ottawa, ON, Canada, 6/10/12. https://doi.org/10.1109/ICC.2012.6363650

**Avoiding overages by deferred aggregate demand for PEV charging on the smart grid.** / Pang, Guodong; Kesidis, George; Konstantopoulos, T.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Avoiding overages by deferred aggregate demand for PEV charging on the smart grid

AU - Pang, Guodong

AU - Kesidis, George

AU - Konstantopoulos, T.

PY - 2012/1/1

Y1 - 2012/1/1

N2 - We model the aggregate overnight demand for electricity by a large community of (possibly hybrid) plug-in electric vehicles (PEVs) each of whose power demand follows a prescribed profile and is interruptible. The community is served by a regional electrical utility which is assumed to purchase electricity from a state/national distribution grid according to a flat-rate Φ per kilowatt-unit-time up to a threshold L, and thereafter overage (demand > L) charges π > Φ are leveed per kilowatt-unit-time. Rather than a spot-price system for household consumers (which would necessarily need to be operated by automated means overnight when most consumers sleep), the 'grid' (regional utility) is 'smart' in that it monitors its total load and, when overages threaten, can reduce load by signaling certain consumers to interrupt charging and defer their charging load by one unit of time. In this paper, we model the uninterrupted load by a Gaussian process which we justify by means of a functional central limit theorem (FCLT). This limiting Gaussian process is the arrival process of a discrete-time queue which is used to model the (partially) interrupted and deferred load over a finite time-horizon. We can then compute the mean amount of overage at the end of this time horizon (say at 6 AM when charging is to be completed ahead of the morning commute).

AB - We model the aggregate overnight demand for electricity by a large community of (possibly hybrid) plug-in electric vehicles (PEVs) each of whose power demand follows a prescribed profile and is interruptible. The community is served by a regional electrical utility which is assumed to purchase electricity from a state/national distribution grid according to a flat-rate Φ per kilowatt-unit-time up to a threshold L, and thereafter overage (demand > L) charges π > Φ are leveed per kilowatt-unit-time. Rather than a spot-price system for household consumers (which would necessarily need to be operated by automated means overnight when most consumers sleep), the 'grid' (regional utility) is 'smart' in that it monitors its total load and, when overages threaten, can reduce load by signaling certain consumers to interrupt charging and defer their charging load by one unit of time. In this paper, we model the uninterrupted load by a Gaussian process which we justify by means of a functional central limit theorem (FCLT). This limiting Gaussian process is the arrival process of a discrete-time queue which is used to model the (partially) interrupted and deferred load over a finite time-horizon. We can then compute the mean amount of overage at the end of this time horizon (say at 6 AM when charging is to be completed ahead of the morning commute).

UR - http://www.scopus.com/inward/record.url?scp=84872002193&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84872002193&partnerID=8YFLogxK

U2 - 10.1109/ICC.2012.6363650

DO - 10.1109/ICC.2012.6363650

M3 - Conference contribution

AN - SCOPUS:84872002193

SN - 9781457720529

T3 - IEEE International Conference on Communications

SP - 3322

EP - 3327

BT - 2012 IEEE International Conference on Communications, ICC 2012

PB - Institute of Electrical and Electronics Engineers Inc.

ER -