CN113256886B - Smart grid power consumption statistics and charging system and method with privacy protection function - Google Patents
Smart grid power consumption statistics and charging system and method with privacy protection function Download PDFInfo
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- G—PHYSICS
- G07—CHECKING-DEVICES
- G07F—COIN-FREED OR LIKE APPARATUS
- G07F15/00—Coin-freed apparatus with meter-controlled dispensing of liquid, gas or electricity
- G07F15/003—Coin-freed apparatus with meter-controlled dispensing of liquid, gas or electricity for electricity
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/008—Circuit arrangements for ac mains or ac distribution networks involving trading of energy or energy transmission rights
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- H—ELECTRICITY
- H04—ELECTRIC COMMUNICATION TECHNIQUE
- H04L—TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
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- H—ELECTRICITY
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- H—ELECTRICITY
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- H04W—WIRELESS COMMUNICATION NETWORKS
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- H—ELECTRICITY
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- H04W84/00—Network topologies
- H04W84/02—Hierarchically pre-organised networks, e.g. paging networks, cellular networks, WLAN [Wireless Local Area Network] or WLL [Wireless Local Loop]
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- Y02T—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO TRANSPORTATION
- Y02T90/00—Enabling technologies or technologies with a potential or indirect contribution to GHG emissions mitigation
- Y02T90/10—Technologies relating to charging of electric vehicles
- Y02T90/12—Electric charging stations
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- Y04S—SYSTEMS INTEGRATING TECHNOLOGIES RELATED TO POWER NETWORK OPERATION, COMMUNICATION OR INFORMATION TECHNOLOGIES FOR IMPROVING THE ELECTRICAL POWER GENERATION, TRANSMISSION, DISTRIBUTION, MANAGEMENT OR USAGE, i.e. SMART GRIDS
- Y04S40/00—Systems for electrical power generation, transmission, distribution or end-user application management characterised by the use of communication or information technologies, or communication or information technology specific aspects supporting them
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Abstract
The invention discloses a power consumption statistical and charging system and method of a smart grid with privacy protection, comprising an electric power service provider ESP, a polymerization center AC and a smart meter SM; the scheme comprises five parts: the method comprises the steps of system initialization, user datagram generation, invalid signature identification, privacy protection power consumption statistics and charging, and user datagram reading and analysis, so that the existing data aggregation scheme in the smart grid can simultaneously realize the power consumption average value, the variance and the single-user charging with privacy protection.
Description
Technical Field
The invention relates to the technical field of smart power grids, in particular to a power consumption counting and charging system and method with privacy protection for a smart power grid.
Background
A Smart Grid (Smart Grid) is a novel modern power Grid with high informatization, automation and interaction characteristics by combining a traditional power Grid and an information and control technology on the basis of a traditional power system. In order to provide more diversified intelligent services, the intelligent power grid acquires statistical characteristics such as the mean variance of the power consumption of the user through the real-time power consumption information of the user, performs real-time power pricing, predicts the power consumption, detects load imbalance and abnormal conditions and the like. However, the electricity consumption data of the user contains the privacy of the user, and if the real-time data is acquired by the adversary and analyzed, the privacy information such as the electricity fee, the work and rest time and the like of the user can be acquired. Therefore, it is an important subject to realize the electricity consumption statistics and charging method of the smart grid with privacy protection.
In the current smart grid architecture, an aggregation center sends power consumption data aggregated on a ciphertext to a power service provider through a homomorphic encryption algorithm. In this way, the power service provider only obtains the total power consumption of all users, and cannot meet the requirement that the power service provider knows the uniformity of power consumption distribution through the variance of power consumption data, and cannot realize real-time single-user charging.
Disclosure of Invention
The invention aims to provide a power consumption counting and charging system and method of a smart grid with privacy protection, so that the average value, variance and single-user charging of the power consumption with privacy protection can be realized simultaneously by the existing data aggregation scheme in the smart grid.
In order to achieve the above object, in a first aspect, the present invention provides a smart grid power consumption statistics and charging system with privacy protection, including a power service provider, an aggregation center and a smart meter; the intelligent ammeter is used for acquiring power consumption data of corresponding users in real time; the aggregation center is in bidirectional communication with a plurality of intelligent electric meters through WiFi, and the intelligent electric meters send encrypted power consumption data to the aggregation center by utilizing the WiFi; the aggregation center performs bidirectional communication with the power service provider through a wired network, and the aggregation center transmits the statistical electric quantity and the single-user electric charge under the ciphertext to the power service provider through the wired network.
In a second aspect, the present invention provides a method for counting and charging power consumption of a smart grid with privacy protection, which is suitable for the system for counting and charging power consumption of a smart grid with privacy protection according to the first aspect, and includes the following steps:
generating corresponding system parameters and key pairs according to the security parameters, and then generating corresponding keys based on registration requests sent by the aggregation center and the users;
acquiring corresponding power consumption data periodically through an intelligent ammeter, encrypting the power consumption data, signing and packaging a generated ciphertext, and then sending an obtained user datagram to the aggregation center;
identifying all invalid signatures, and re-acquiring the user datagram of the intelligent electric meter corresponding to the invalid signatures for re-verification until all the signatures are successfully verified;
performing privacy protection data aggregation on the obtained user datagram, and sending the ciphertext datagram packaged after digital signature to a power service provider;
and carrying out validity verification on the ciphertext datagram, and after the verification is passed, carrying out decryption on the ciphertext datagram and then calculating the mean value, the variance and the single-user electric charge.
Generating corresponding system parameters and key pairs according to the security parameters, and then generating corresponding keys based on registration requests sent by the aggregation center and the users, wherein the key pairs comprise:
generating corresponding elliptic curve parameters according to the first safety parameters, and generating bilinear parameters through a combined order bilinear pair generator based on the second safety parameters;
acquiring a registration request sent by an aggregation center to a power service provider, and generating a pair of keys;
a registration request sent by a user to an electric power service provider is obtained, and a pair of keys is generated.
Wherein, regularly acquire corresponding power consumption data through smart electric meter, and right power consumption data encrypt and carry out signature packing to the ciphertext that generates, then send the user datagram that obtains to the aggregation center, include:
in a set charging period, regularly acquiring power consumption data of a user by using an intelligent ammeter, and encrypting the power consumption data by using a BGN public key encryption system;
signing the encrypted electricity consumption data based on a randomly acquired random number;
and packaging the encrypted power consumption data and the corresponding signature into a user datagram, and sending the user datagram to the aggregation center.
Wherein, carry out the data aggregation of privacy protection to the user datagram that obtains to send the ciphertext datagram that packs after the digital signature to the electric power service provider, include:
in a set charging period, carrying out total electric quantity aggregation and variance aggregation on all the user datagrams, and obtaining a ciphertext of power consumption statistics and single-user electricity charge based on the real-time electricity price of the corresponding period;
and performing digital signature on the ciphertext, packaging the ciphertext and the corresponding digital signature into a ciphertext datagram and sending the ciphertext datagram to the power service provider.
The method comprises the following steps of carrying out validity verification on the ciphertext datagram, decrypting the ciphertext datagram after the verification is passed, and then calculating the mean value, the variance and the single-user electricity charge, and comprises the following steps:
verifying the time stamp and the signature validity based on the signature verification criterion;
after the verification is successful, carrying out conditional exhaustive brute force cracking by using a private key, and solving a plurality of corresponding discrete logarithms under the condition of set time complexity to obtain a plurality of corresponding parameters and the electric charge in a set charging period;
and calculating the average value and the variance of the electricity consumption in the set charging period according to the plurality of parameters.
The invention relates to a power consumption counting and charging system and method of a smart grid with privacy protection.A power service provider generates corresponding system parameters and key pairs according to security parameters, and then generates corresponding keys based on registration requests sent by a convergence center and users; the method comprises the steps that corresponding power consumption data are obtained regularly through an intelligent ammeter, encryption is conducted on the power consumption data, signature packaging is conducted on a generated ciphertext, and then an obtained user datagram is sent to the aggregation center; the aggregation center identifies all invalid signatures, and re-acquires the user datagram of the intelligent electric meter corresponding to the invalid signatures for re-verification until all the signatures are successfully verified; the aggregation center performs privacy protection data aggregation on the obtained user datagram and sends the ciphertext datagram packaged after digital signature to the power service provider; and the power service provider verifies the legality of the ciphertext datagram, decrypts the ciphertext datagram after the verification is passed, and calculates the mean value, the variance and the single-user electricity charge, so that the existing data aggregation scheme in the smart grid can simultaneously realize the electricity consumption mean value, the variance and the single-user charging with privacy protection.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the embodiments or the prior art descriptions will be briefly described below, it is obvious that the drawings in the following description are only some embodiments of the present invention, and other drawings can be obtained by those skilled in the art without creative efforts.
Fig. 1 is a schematic flow chart of a power consumption statistics and charging system for a smart grid with privacy protection provided by the invention.
Fig. 2 is a schematic step diagram of a method for counting and charging electricity consumption of a smart grid with privacy protection according to the present invention.
Fig. 3 is a schematic diagram of a system initialization process provided by the present invention.
Fig. 4 is a schematic diagram illustrating a process of generating a user datagram according to the present invention.
Fig. 5 is a schematic diagram of a flow of power consumption statistics and charging for privacy protection provided by the present invention.
Detailed Description
Reference will now be made in detail to embodiments of the present invention, examples of which are illustrated in the accompanying drawings, wherein like reference numerals refer to the same or similar elements or elements having the same or similar functions throughout. The embodiments described below with reference to the drawings are illustrative and intended to be illustrative of the invention and are not to be construed as limiting the invention.
In the description of the present invention, "a plurality" means two or more unless specifically defined otherwise.
Referring to fig. 1, the present invention provides a smart grid power consumption statistics and billing system with privacy protection, which includes a power service provider (ESP), an Aggregation Center (AC), and a Smart Meter (SM); the intelligent ammeter is used for acquiring power consumption data of corresponding users in real time; the aggregation center is in bidirectional communication with a plurality of intelligent electric meters through WiFi (Wireless Fidelity), and the intelligent electric meters send encrypted power consumption data to the aggregation center by utilizing WiFi; the aggregation center performs bidirectional communication with the power service provider through a wired network, and the aggregation center transmits the statistical electric quantity and the single-user electric charge under the ciphertext to the power service provider through the wired network.
In this embodiment, it is assumed that there are m users U in the system i The intelligent electric meter SM consists of intelligent electric meters SMs and intelligent equipment which are deployed in the home of a certain user and is used for collecting power consumption data of the user in real time; the aggregation center AC performs bidirectional communication with the m intelligent electric meters SMs through WiFi, and the intelligent electric meters SM transmits the encrypted user electric quantity data to the aggregation center AC through WiFi; the aggregation center AC carries out bidirectional communication with the electric power service provider ESP through a wired network, and the aggregation center AC sends the statistical electric quantity and the single-user electric charge under the ciphertext to the electric power service provider ESP by using the wired network.
Before the user sends the electricity consumption to the aggregation center, the electricity consumption is encrypted through a homomorphic encryption algorithm, and the encrypted data is digitally signed, so that the confidentiality and the integrity of the electricity consumption information can be realized. The aggregation center first identifies invalid signatures in the batch verification for received user datagrams. After the verification is passed, the aggregation center performs operations such as summation aggregation, square sum aggregation, single-user dynamic charging and the like on the user datagram on the ciphertext, and the process does not reveal the privacy of the user. Finally, the power service provider decrypts the ciphertext by using the private key of the power service provider, and calculates the average value and the variance of the power consumption of the user and the dynamic power consumption of a single user, but cannot obtain the power consumption of a certain user, so that the privacy of the user is protected. Meanwhile, ciphertext is transmitted in the channel, digital signature is realized, and confidentiality and integrity of data can be guaranteed. Therefore, the invention has high privacy protection safety.
Referring to fig. 1 and fig. 2, the present invention provides a method for counting and charging power consumption of a smart grid with privacy protection, which is suitable for the system for counting and charging power consumption of a smart grid with privacy protection, and includes the following steps:
s100, generating corresponding system parameters and key pairs according to the security parameters, and then generating corresponding keys based on registration requests sent by the aggregation center and the users.
Specifically, as shown in FIG. 3, the system initializes. The method mainly comprises the steps of generating system parameters and registering system entities.
And generating a system parameter and encryption and decryption key pair.
Specifically, step 1.1: the ESP generates a system parameter and key pair by performing the following steps;
step 1.1.1: ESP selects the first safety parameter k 1 Generating elliptic curve parameters, where p is the prime number field F p P is E (F) p ) The first order is a base point of a prime number q, a and b are coefficients of an elliptic curve E, and H is a one-way safe hash function;
step 1.1.2: ESP selection selects the second safety parameter k 2 Output by a Composite Bilinear pair Generator
Wherein n = p 1 p 2 ，p 1 p 2 Is a large prime number of equal length, G a ,G b Is two cyclic groups with order n, G is G a The generation element of (a) is generated,
is a non-degenerate bilinear map, and selects G a P of (a) 1 Generator of order subgroup
The public key is
The private key is p 1 ；
Step 1.2: ESP issues system parameters;
step 1.2.1: ESP publishing system common parameter
Secret master key p 1 }。
Registration of the aggregation center AC.
Specifically, when the aggregation center AC in the area registers itself in the system, an integer is selected randomly at first
As its own private key and calculates the corresponding public key Y AC ＝x AC P。
And registering the smart meters SMs.
In particular, when the user U i (i =1,2.. M.) when added to the system, he will randomly choose an integer number
As its own private key and computes the corresponding public key Y i ＝x i P。
S200, acquiring corresponding power consumption data periodically through the intelligent electric meter, encrypting the power consumption data, signing and packaging the generated ciphertext, and then sending the obtained user datagram to the aggregation center.
Specifically, as shown in fig. 4, the specific steps of generating the user datagram are as follows:
user data is encrypted.
In particular, intelligenceThe energy meter SM periodically collects the power consumption data of the user, and supposing that the period is T, each charging period has mu periods (T) 1 ,T 2 ,...,T u ) More specifically, user U i Collecting its power consumption data d i,j ，d i,j Data representing the jth period of the ith user, and d i,j Is less than D, and uses BGN (Boneh-Goh-Nissim) public key encryption system to encrypt the power consumption data D i,j Encrypting, and randomly selecting an integer by a user Ui
Computing a ciphertext
And signing the encrypted data.
In particular, user U i Randomly selecting integers
And (4) calculating.
R i,j ＝k i,j P，r i,j ＝x(R i,j ) (modq) wherein R i,j Is a coordinate point, r, in the form of (x, y) i,j Is R i,j X-axis coordinate values of (c).
Sending the user datagram to the aggregation center AC.
Specifically, ciphertext sending user datagram and signature are packaged into user report
And sent to the aggregation centerAC。
S300, identifying all invalid signatures, and re-acquiring the user datagram of the intelligent electric meter corresponding to the invalid signatures for re-verification until all the signatures are successfully verified.
In particular, the aggregation center AC first checks the time stamp T and the signature (R) i,j ,s i,j ) The signature verification passes and verifies whether the following formula is established or not, and if so, the verification passes.
To verify more efficiently, the AC randomly chooses an integer
The following steps are performed:
(1) Computing
Where Σ is the accumulated sign, if α 0 If =0, the batch verification is passed, and step S400 is executed; otherwise, executing the next step;
(2) Computing
Find if there is a satisfaction alpha 1 ＝λ 1 α 0 (λ 1 λ of =1,2,. Eta., m) 1 If present, then only lambda is output 1 The individual signature is an invalid signature and exits the algorithm; if not, indicating that at least two invalid signatures exist, and carrying out the next step;
(3) Computing
Find if there is a satisfaction alpha 2 ＝(λ 1 +λ 2 )α 1 -λ 1 λ 2 α 0 (λ 2 K) =1,2,. Said, m), if present, the lambda-th output 1 And lambda 2 The individual signature is an invalid signature and exits the algorithm; if the invalid signatures do not exist, the fact that at least three invalid signatures exist is indicated, an integer w =3 is set, and the next step is carried out;
(4) Calculating out
Find if (lambda) 1 ,λ 2 ,...,λ w ) Satisfy the requirements of
Wherein p is t Means relating to (λ) 1 ,λ 2 ,...,λ w ) If there is (lambda) that satisfies the condition 1 ,λ 2 ,...,λ w ) Output the lambda-th 1 A signature, lambda 2 Lambda sign, \8230;, lambda w If the signature is an invalid signature, performing signature independent verification; if not (lambda) 1 ,λ 2 ,...,λ w ) It is stated that at least w +1 signatures are invalid, let w = w +1, and repeat step (4).
All received signatures are verified;
and (4) for all identified invalid signatures, enabling the corresponding intelligent electric meters to send data again and carry out individual verification, and finally enabling all signatures to pass verification.
S400, carrying out privacy protection data aggregation on the obtained user datagram, and sending the ciphertext datagram packaged after digital signature to the electric power service provider.
Specifically, as shown in fig. 5, the specific steps of counting and charging the electricity consumption for privacy protection are as follows:
step 4.1: counting and charging the electricity consumption with privacy protection;
step 4.1.1: after the batch verification is passed, the aggregation center AC performs the following aggregation steps:
at T j And (3) total electric quantity polymerization in a period:
at T j Variance aggregation within a period:
suppose that in each period T j Electricity price in is ρ j Dynamic electricity charge P of single user in a charging period i ：
Step 4.2: signing the generated ciphertext;
step 4.2.1: AC random selection of aggregation centers
And (3) calculating:
R j ＝k j P,r j ＝x(R j ) (modq) wherein x (R) j ) Is R j The x-axis coordinate value of (a),
in addition, it should be noted that the user charging requires aggregation of the single-user electricity charges for one charging period, so the signature is performed only after one charging period is finished, and the signature is performed only on the total electricity quantity and the variance aggregation ciphertext at other times;
step 4.3: sending the ciphertext datagram;
step 4.31: packaging the aggregated ciphertext and signature j,1 ||c j,2 ||P i ||ID AC ||ID ESP ||T||R j ||s j And sent to the ESP.
S500, carrying out validity verification on the ciphertext datagram, and after the verification is passed, carrying out decryption on the ciphertext datagram and then calculating the mean value, the variance and the single-user electric charge.
Specifically, step 5.1: verifying the received signature;
step 5.1.1: ESP first checks the time stamp T and the signature (R) j ,s j ) If the signature verification passes the verification result, the verification passes;
R j ＝s j -1 H(c j,1 ||c j,2 ||P i ||ID AC ||ID ESP ||T)P+s j -1 r j Y AC ；
and step 5.2: decrypting and calculating the received ciphertext;
step 5.2.1: after the verification is passed, because
According to Pollard's lambda decryption method, ESP utilizes a private key p 1 Performing conditional exhaustive brute force cracking, under the condition of time complexity
Can effectively solve discrete logarithm under the condition of (1) and further obtain
Similarly, ESP can effectively solve discrete logarithm
Further obtain
ESP can effectively solve discrete logarithm
Further obtain user U i Electric charge in one billing period
Step 5.2.2: for that obtained by decryption
The ESP can calculate the period T j Average and variance statistics of power usage within:
mean value:
variance:
finally, the ESP can further perform analysis processes such as power distribution equalization, power consumption abnormality detection and the like under the condition of protecting the privacy of the power consumption data of the user according to the statistical data.
The invention realizes a power consumption statistics and charging scheme of an intelligent power grid with privacy protection based on a BGN homomorphic encryption algorithm, the scheme not only realizes the average value, variance and single-user charging of the power consumption of users under the privacy protection, but also realizes the identification of invalid signatures to defend hostile insertion of invalid signatures for attack.
Some terms or terms designed by the examples of this invention are described below:
ESP: an Electric Service Provider (Electric Service Provider);
AC: a polymerization Center (Aggregation Center);
SM: smart meters (smartmeters);
ID Ui : representing a user U i The identity of (a);
ID AC : represents the identity of the aggregation center AC;
ID ESP : represents the identity of the power service provider ESP;
m: representing the number of all users in a region, m being an integer;
and mD: represents the product of m and D, wherein m and D are both integers;
BGN: a Boneh-Goh-Nissim public key encryption system;
n: n is the total number, n = p 1 p 2 ；
G a ,G b : two cyclic groups of order n;
g：G a a generator of (2);
ECDSA: elliptic Curve Digital Signature algorithm (Elliptic Curve Digital Signature algorithm);
F p : prime number field F p ；
E(F p ): is defined in prime number field F p Curve E (F) above p )；
P: the base point with prime number q on the elliptic curve of ECDSA, p belongs to E (F) p )；
xP: x times the point P on the elliptic curve;
h: a secure hash function;
mod n: modulo n operation, e.g., 23mod7=2;
the invention relates to a power consumption counting and charging system and method of a smart grid with privacy protection.A power service provider generates corresponding system parameters and key pairs according to security parameters, and then generates corresponding keys based on registration requests sent by a convergence center and users; the method comprises the steps that corresponding power consumption data are obtained regularly through an intelligent ammeter, encryption is conducted on the power consumption data, signature packaging is conducted on a generated ciphertext, and then an obtained user datagram is sent to the aggregation center; the aggregation center identifies all invalid signatures, and obtains the user datagram of the intelligent electric meter corresponding to the invalid signatures again for verification until all the signatures are verified successfully; the aggregation center carries out data aggregation of privacy protection on the obtained user datagram and sends ciphertext datagram packaged after digital signature to the power service provider; and the electric power service provider verifies the legality of the ciphertext datagram, decrypts the ciphertext datagram and calculates the mean value, the variance and the single-user electricity charge after the ciphertext datagram passes the verification, so that the existing data aggregation scheme in the intelligent power grid can simultaneously realize the electricity consumption mean value, the variance and the single-user charging with privacy protection.
While the invention has been described with reference to a preferred embodiment, it will be understood by those skilled in the art that various changes in form and detail may be made therein without departing from the spirit and scope of the invention as defined by the appended claims.
Claims (5)
1. A method for counting and charging the power consumption of an intelligent power grid with privacy protection is characterized in that,
the system comprises an electric power service provider, an aggregation center and a smart meter; the intelligent ammeter is used for acquiring power consumption data of corresponding users in real time; the aggregation center is in two-way communication with the plurality of intelligent electric meters through WiFi, and the intelligent electric meters send the encrypted electricity consumption data to the aggregation center through WiFi; the aggregation center carries out bidirectional communication with the power service provider through a wired network, and the aggregation center sends the statistical electric quantity and the single-user electric charge under the ciphertext to the power service provider through the wired network;
the method comprises the following steps:
generating corresponding system parameters and key pairs according to the security parameters, and then generating corresponding keys based on registration requests sent by the aggregation center and the users;
the method comprises the steps that corresponding power consumption data are obtained regularly through an intelligent ammeter, encryption is conducted on the power consumption data, signature packaging is conducted on a generated ciphertext, and then an obtained user datagram is sent to the aggregation center;
identifying all invalid signatures, and re-acquiring the user datagram of the intelligent electric meter corresponding to the invalid signatures for re-verification until all the signatures are successfully verified;
performing privacy protection data aggregation on the obtained user datagram, and sending the ciphertext datagram packaged after digital signature to an electric power service provider;
carrying out validity verification on the ciphertext datagram, and after the verification is passed, carrying out decryption on the ciphertext datagram and then calculating the average value, the variance and the single-user electricity charge;
identifying all invalid signatures, and re-acquiring the user datagram of the intelligent electric meter corresponding to the invalid signatures for re-verification until all signatures are successfully verified, wherein the steps of:
the aggregation centre AC first checks the timestamp T and the signature (R) i,j ,s i,j ) If the signature verification passes the verification result, the verification passes;
AC randomly selected integer
The following steps are carried out:
(1) Computing
Where Σ is the accumulated sign, if α 0 If =0, the batch verification is passed; otherwise, executing the next step;
(2) Calculating out
Find out if there is a satisfying alpha 1 ＝λ 1 α 0 (λ 1 ＝1,2,λ of < u. > m) 1 If present, then only the lambda th output 1 The individual signature is an invalid signature and the algorithm exits; if not, indicating that at least two invalid signatures exist, and carrying out the next step;
(3) Computing
Find if there is a satisfaction alpha 2 ＝(λ 1 +λ 2 )α 1 -λ 1 λ 2 α 0 (λ 2 K) =1,2,. Said, m), if present, the lambda-th output 1 And lambda 2 The individual signature is an invalid signature and the algorithm exits; if the invalid signatures do not exist, the fact that at least three invalid signatures exist is indicated, an integer w =3 is set, and the next step is carried out;
(4) Calculating out
Find if (lambda) 1 ,λ 2 ,...,λ w ) Satisfy the requirements of
Wherein p is t Means relating to (λ) 1 ,λ 2 ,...,λ w ) If there is (lambda) that satisfies the condition 1 ,λ 2 ,...,λ w ) Output the lambda-th 1 A signature, lambda 2 Lambda signature of 8230 w If the signature is an invalid signature, performing signature independent verification; if not (lambda) 1 ,λ 2 ,...,λ w ) Indicating that at least w +1 signatures are invalid, making w = w +1, and repeating step (4);
all received signatures are verified;
for all identified invalid signatures, enabling the corresponding intelligent electric meters to send data again and carry out individual verification, and finally enabling all signatures to pass verification;
wherein R is i,j Is a coordinate point, r, shaped as (x, y) i,j Is R i,j X-axis coordinate value of (1), T is the current timestamp, meshTo prevent replay attacks; d i,j Data representing a jth period of an ith user; c. C i,j Representing a ciphertext;
ESP: an Electric power Service Provider (Electric Service Provider);
AC: a polymerization Center (Aggregation Center);
SM: smart meters (Smart meters);
ID Ui : representing the user U i The identity of (a);
ID AC : represents the identity of the aggregation center AC;
ID ESP : represents the identity of the power service provider ESP;
m: represents the number of all users in an area, m is an integer;
and mD: represents the product of m and D, where m and D are both integers;
BGN: a Boneh-Goh-Nissim public key encryption system;
n: n is the total number, n = p 1 p 2 ；
G a ,G b : two cyclic groups of order n;
p 1 p 2 are large prime numbers of equal length;
the public key is
The private key is p 1 ；
Public key Y i ＝x i P
g：G a The generator of (2);
ECDSA: elliptic Curve Digital Signature algorithm (Elliptic Curve Digital Signature algorithm);
F p : prime number field F p ；
E(F p ): is defined in prime number field F p Curve ofE(F p )；
P: the base point with prime number q on the elliptic curve of ECDSA, p belongs to E (F) p )；
a and b are coefficients of an elliptic curve E;
xP: x times the point P on the elliptic curve;
h: a secure hash function;
mod n: modulo n arithmetic.
2. The method for counting and charging electricity consumption of smart grid with privacy protection as claimed in claim 1, wherein the generating corresponding system parameter and key pair according to security parameter, and then generating corresponding key based on registration request issued by aggregation center and user, comprises:
generating corresponding elliptic curve parameters according to the first safety parameters, and generating bilinear parameters through a combined order bilinear pair generator based on the second safety parameters;
acquiring a registration request sent by an aggregation center to a power service provider, and generating a pair of keys;
a registration request sent by a user to an electric power service provider is obtained, and a pair of keys is generated.
3. The method for counting and charging power consumption of the smart power grid with privacy protection as claimed in claim 1, wherein the step of periodically obtaining the corresponding power consumption data through the smart power meter, encrypting the power consumption data and signing and packaging the generated ciphertext and then sending the obtained user datagram to the aggregation center comprises the steps of:
in a set charging period, regularly acquiring power consumption data of a user by using an intelligent ammeter, and encrypting the power consumption data by using a BGN public key encryption system;
signing the encrypted electricity consumption data based on a randomly acquired random number;
and packaging the encrypted power consumption data and the corresponding signature into a user datagram, and sending the user datagram to the aggregation center.
4. The method for counting and charging power consumption of the smart grid with privacy protection as claimed in claim 1, wherein the step of performing privacy protection data aggregation on the obtained user datagram and sending the ciphertext datagram packaged after digital signature to the power service provider comprises the following steps:
in a set charging period, carrying out total electric quantity aggregation and variance aggregation on all the user datagrams, and obtaining a ciphertext of power consumption statistics and single-user electricity charge based on the real-time electricity price of the corresponding period;
and performing digital signature on the ciphertext, packaging the ciphertext and the corresponding digital signature into a ciphertext datagram and sending the ciphertext datagram to the power service provider.
5. The method for counting and charging power consumption of the smart grid with privacy protection as claimed in claim 1, wherein the step of verifying the validity of the ciphertext datagram and after the verification is passed, the step of calculating the mean value, the variance and the single-user electricity charge after decrypting the ciphertext datagram comprises the steps of:
verifying the time stamp and the signature validity based on the signature verification criterion;
after the verification is successful, carrying out conditional exhaustive brute force cracking by using a private key, and solving a plurality of corresponding discrete logarithms under the condition of set time complexity to obtain a plurality of corresponding parameters and the electric charge in a set charging period;
and calculating the average value and the variance of the electricity consumption in the set charging period according to the plurality of parameters.
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