A fine-grained privacy protection data aggregation scheme for outsourcing smart grid

doi:10.1007/s11704-022-2003-y

Front. Comput. Sci.

2023, Vol. 17

Issue (3) : 173806 https://doi.org/10.1007/s11704-022-2003-y

RESEARCH ARTICLE

A fine-grained privacy protection data aggregation scheme for outsourcing smart grid

Hongyang LI¹, Xinghua LI¹, Qingfeng CHENG²(

)

¹. School of Cyber Engineering, Xidian University, Xi’an 710071, China
². Strategic Support Force Information Engineering University, Zhengzhou 450001, China

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Abstract

Compared with the traditional power grid, smart grid involves many advanced technologies and applications. However, due to the rapid development of various network technologies, smart grid is facing the challenges of balancing privacy, security, efficiency, and functionality. In the proposed scheme, we design a privacy protection scheme for outsourcing smart grid aided by fog computing, which supports fine-grained privacy-protected data aggregation based on user characteristics. The fog server matches the encrypted characteristics in the received message with the encrypted aggregation rules issued by the service provider. Therefore, the service provider can get more fine-grained analysis data based on user characteristics. Different from the existing outsourcing smart grid schemes, the proposed scheme can achieve real-time pricing on the premise of protecting user privacy and achieving system fault tolerance. Finally, experiment analyses demonstrate that the proposed scheme has less computation overhead and lower transmission delay than existing schemes.

Keywords smart grid data aggregation fine-grained privacy preservation real-time pricing

Corresponding Author(s): Qingfeng CHENG

Just Accepted Date: 24 May 2022 Issue Date: 03 November 2022

Cite this article:

Hongyang LI,Xinghua LI,Qingfeng CHENG. A fine-grained privacy protection data aggregation scheme for outsourcing smart grid[J]. Front. Comput. Sci., 2023, 17(3): 173806.

URL:

https://academic.hep.com.cn/fcs/EN/10.1007/s11704-022-2003-y
https://academic.hep.com.cn/fcs/EN/Y2023/V17/I3/173806

Tab.1 Comparative analysis of the existing schemes

Notation	Description
$E (F p)$	An elliptic curve group
$G$	A generator with order $n 0$ of $E (F p)$
$F S i$	The $i t h$ fog server
$S M i$	The $i t h$ smart meter under fog server $F S i$
$p u b, s k e y$	Public key and private key of Paillier
$s k r, p u b r$	Public-private key pair for encrypting the rule list
$s k f i, p u b f i$	Public-private key pair for $F S i$
$R i$	The $i$ th aggregation rule
$F L$	Aggregation rule list $F L = {R 1, R 2, …, R l}$
$L L i, l$	A list with the length of $n$ bits
$A R i j$	Aggregation ciphertext with rule $R j$ under $F S i$
$A R i$	Final aggregation result with rule $R i$

Tab.2 Notations

Fig.1 System network model

Fig.2 Registration process of SM

Types	Rules	Meaning
$R 1$	$f 1 ‖ f 2$	Aggregate all user data with $f u 1 = f 1$ , $f u 2 = f 2$ , in characteristic identifier $F = (f u 1 \| \| f u 2)$
$R 2$	$f 1 ?$	Aggregate all user data with $f u 1 = f 1$ , in characteristic identifier $F = (f u 1 \| \| f u 2)$
$R 3$	$? f 2$	Aggregate all user data with $f u 2 = f 2$ , in characteristic identifier $F = (f u 1 \| \| f u 2)$
$R 4$	$? ?$	Aggregate all data

Tab.3 The aggregation rule

Symbol	Meaning	Time/ms
$T p m$	Point multiplication on $E (F p)$	1.317
$T e z$	Exponentiation in $Z n 2$	4.269
$T p$	Bilinear pairing	3.846
$T e 2$	Double exponentiation	4.279
$T e$	Exponentiation	3.356
$T m$	Multiply in $G 1$	0.015

Tab.4 Module coputing overhead

Scheme	SM	FS	SP
Ours	$T e z + T e 2 + 10 T p m$	$(l k + 1) T p + 2 T p m + l (k ? 1) T m$	$(t + 2) T p + l (t ? 1) T m + 2 l T e z$
[7]	( $3 T e + T m) l$	$2 l (k ? 1) T m + l (k + 1) T p$	$l (t + 1) T p + l (t ? 1) T m + l T e z$
[9]	$(T e 2 + 2 T e + T m) l$	$2 l (k ? 1) T m + l (k + 1) T p$	$l (t + 1) T p + l (t ? 1) T m + 2 l T e z$

Tab.5 Total computation cost

Fig.3 Computation cost of SM

Fig.4 Computation cost of FS

Fig.5 Computation cost of SP

Scheme	System’s total communication cost
Ours	$n k L s m + t L f + L p + L u$
[7]	$n (k L s m + t L f + L p + L u)$
[9]	$n (k L s m + t L f + L p + L u)$

Tab.6 Total communication cost

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