CN105447775A - Electric power day-ahead market match trade method with power grid safety constraint embedded therein - Google Patents

Abstract

The invention discloses an electric power day-ahead market match trade method with a power grid safety constraint embedded therein, and belongs to the technical field of electric power market trade. The method comprises obtaining electric power market bid basic data, constructing an electric power market match trade mathematical model with the power grid safety constrain embedded therein according to the data and obtaining a trade result through calculation by use of a linear programming solver. The method provided by the invention brings forward a novel object function of the electric power market match trade mathematical model, demonstrates a match trade high-low coupling principle and can obtain the trade result comprising match trade matched-pair information; and a line active transmission limit constraint is embedded into the electric power market match trade model for unified optimization so that the trade result satisfying the power grid safety constraint can be obtained. The method provided by the invention can provide key technical support for an electric power day-ahead market applying match trade, solves the problem of consideration of embedding the power grid safety constraint into the electric power day-ahead market and improves the safety of the trade result of the electric power day-ahead market.

Description

The electric power ahead market trade matching method of embedded power system security constraints

Technical field

The invention belongs to power market transaction technical field, propose a kind of electric power ahead market trade matching method of embedded power system security constraints especially.

Background technology

Electric power ahead market is a part for power spot market, is the important component part in whole Power Market System.Due to the physical characteristics of electric power equilibrium,transient, compared with medium-term and long-term market clearing price signal, ahead market price signal can provide the more market information relevant to electrical network physical constraint, therefore, do not have power spot market, Power Market System is exactly incomplete.Set up key one step that ahead market is electricity market reform, that can guarantee that electricity market and electrical network physics run is steadily connected, and effectively promotes electric power resource and distributes level rationally.

Along with the continuous expansion of ahead market trading space, the randomness of the electric network swim that the randomness of being concluded the business by ahead market is brought will constantly increase.Concluding the business due to ahead market with social welfare maximization is target, to gain merit inevitably occurring the situation that transmission limit causes transaction results to jeopardize power grid security, cannot perform in practice due to transmission line of electricity, i.e. Network congestion (Zhang Qian, Yu Jihui, Li Chunyan, Zhang Senlin .. eliminates model and algorithl [J] .. electric power network technique, 2009,33 (174-179) based on the obstruction of trade matching mechanism .).When power market transaction electricity account for whole power consumption ratio less, the Security Checking of power market transaction result mainly relies on and manually completes; Existing Chinese invention patent (Lv Ying, Lu Guangming, Ding Jia, method [P] .. Beijing of a fourth flat .. short-term trading plan security check: CN103020853A, 2013 ?04 ?03.) propose Security Checking method for short-term trading plan, security constraint is not embedded into short-term trading and goes out clearly in process; After marketing electricity expands, existing artificial check and the mode of afterwards checking of concluding the business cannot meet the precision of power market transaction to Security Checking, the requirement of speed, what manual security checked inaccurately may impact power system security, and the optimal result that may not to be social welfare maximum of the transaction results after Security Checking.Therefore, need design to consider the mathematical model of the electric power ahead market trade matching of power system security constraints, embedded consideration security constraint in trading clearing process, guarantees that power market transaction result is in the executory operability of reality and security.

Existing electricity market trade matching method is optimization aim mainly with social welfare maximization greatly, and the objective function of its mathematical model is (Xu Rong. the bargaining theory under trade matching mechanism and congestion management research [D]. Shanghai Communications University, 2008.) (Li Peiying. the research [D] of electricity market trade matching model. North China Electric Power University, 2008.) (Chen Qixin, Kang Chongqing, Cheng Xudong, Qi Haichang, Ma Zhibo. consider Generation Rights Trade Mode and the network flow algorithm [J] thereof of congestion management. Proceedings of the CSEE, 2008, 28 (34): 106 ?111.) (summer is clear, Sun Zhengyun. consider the Application of High-low Match Methods To Regional Electricity [J] of transaction cost. electric power network technique, 2005, 17:1 ?4+20.).Existing trade matching mathematical model can only obtain genset and whether power consumer gets the bid and power value of getting the bid, and can not be met a trade matching unpaired message of trade matching High-low Match principle.Therefore, need to set up the new trade matching mathematical model that can be met a trade matching unpaired message of trade matching High-low Match principle.

Make a general survey of the Researching and practicing of countries in the world power market transaction, guest sunset Fa Niya ?pool western ?Maryland (the Pennsylvania ?Jersey ?Maryland of Northeastern United States, PJM) electric power ahead market adopt based on node electricity price concentrated go out clearing method, mechanism of exchange is according to genset bid information, ahead market trading space, system reliability, the data such as alternative plan, target is minimised as with total purchases strategies, run the Unit Combination program considering power system security constraints, calculate the day-ahead power market Unit Commitment scheme of each hour, operation plan, with the deploying node of each node in PJM region.Britain's electric power ahead market adopts concentrates bidding fashion, generates supply curve and demand curve according to Generation Side quotation information and electricity consumption side quotation information, obtains market acceptance of the bid result and Marginal Pricing, in ahead market, does not consider power system security constraints.

In sum, current not relevant to the electric power ahead market trade matching method of embedded power system security constraints report.

Summary of the invention

The object of the invention is the technological gap in order to fill up current power marketing field, proposing a kind of electric power ahead market trade matching method of embedded power system security constraints.The present invention proposes the novel objective function of electricity market trade matching mathematical model, transmission limit of being gained merit by power network line constraint is embedded into unified in electric power ahead market trade matching model optimization, gordian technique is provided to support for adopting the electric power ahead market of trade matching, solve ahead market to conclude the business the difficult problem of embedded consideration power system security constraints, improve efficiency and the precision of ahead market trading clearing, improve the security of ahead market transaction results to electric system, the development of electricity market is significant.

The present invention includes following steps:

1) obtain ahead market to bid basic data:

Described ahead market basic data of bidding comprises operation characteristic data, a few days ago load prediction data of group of motors, each unit Contract generation at decomposition data, grid topology data, genset bidding data, the power consumer bidding data of second day;

The operation characteristic data of described genset are the upper limit of the exerting oneself/lower limit data of genset;

Described load prediction data is a few days ago second day day part each node power workload demand situation that power dispatching station obtains according to certain technological means;

Described each unit Contract generation is each unit contract rolling exerting oneself to second day day part in the decomposition data of second day;

Described grid topology data comprises the node of electric power networks and the annexation of transmission line of electricity, the effective power flow limit of each transmission cross-section and the circuit ID comprised, each genset and the node load generated output power to every bar transmission line of electricity thereof shift distribution factor data;

To be the genset that participates in ahead market exert oneself and the price of every kilowatt hour electricity to the second day day part that electricity transaction mechanism reports described genset bidding data;

Described power consumer bidding data is the price of the second day day part electric power that reports to electricity transaction mechanism of the power consumer participating in ahead market and every kilowatt hour electricity;

2) according to step 1) ahead market that obtains basic data of bidding builds the mathematical model of the electric power ahead market trade matching of the embedded power system security constraints be made up of objective function and constraint condition;

2-1) build the objective function of the electric power ahead market trade matching mathematical model of embedded power system security constraints, expression formula is as follows:

$max\underset{j=1}{\overset{M}{\Σ}}\underset{i=1}{\overset{N}{\Σ}}(B_{j,t}-C_{i,t})\·P_{ij,t}\·W_{j,t}---\left(1\right)$

This objective function represents the social welfare of Weight coefficient; M is the power consumer number participating in electric power ahead market, and N is the genset number participating in electric power ahead market, B _j,tfor power consumer j offers at the ahead market of t period, C _i,tfor genset i offers at the ahead market of t period, P _{ij, t}for the electric power that genset i and power consumer j struck a bargain in the ahead market t period, W _j,tfor power consumer j is at the weight coefficient of t period:

2-2) build the constraint condition of the electric power ahead market trade matching mathematical model of embedded power system security constraints, expression formula is as follows respectively:

2-2-1) account load balancing constraints condition:

$\underset{i=1}{\overset{N}{\Σ}}(\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t}+P_{ie,t})=\underset{b=1}{\overset{B}{\Σ}}{d}_{b,t}---\left(2\right)$

Wherein, P _{ij, t}for the electric power that genset i and power consumer j struck a bargain in the ahead market t period, P _{ie, t}for curve the exerting oneself in the t period that genset i contract rolling is formed, B is electric system nodes, d _b,tfor node b is at the load of t period; In this constraint representation electrical network, the generated output sum of all units equals electrical network total load;

2-2-2) the genset amount of declaring constraint condition:

$\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t}\≤P_{i,t}---\left(3\right)$

P _i,tthe electric power that genset i declared in the ahead market t period; This constraint representation genset ahead market t period electric power of getting the bid must not exceed it and always declares electric power in the ahead market t period;

2-2-3) the power consumer amount of declaring constraint condition:

$\underset{i=1}{\overset{N}{\Σ}}{P}_{ij,t}\≤P_{j,t}---\left(4\right)$

P _j,tthe electric power that power consumer j declared in the ahead market t period; This constraint representation power consumer ahead market t period electric power of getting the bid must not exceed it and always declares electric power in the ahead market t period;

2-2-4) circuit is gained merit transmission limit constraint condition:

$-P_{L_k}\≤\underset{i=1}{\overset{N}{\Σ}}{G}_{b_i-L_k}(P_{ie,t}+\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t})-\underset{b=1}{\overset{B}{\Σ}}{G}_{b-L_k}{d}_{b,t}\≤P_{L_k}---\left(5\right)$

for branch road L _kthrough-put power restriction, b _ibe the node at i-th genset place, for node b _ito branch road L _ktransfer distribution factor, for node b is to branch road L _kgenerated output power transfer distribution factor; In this constraint representation electrical network, the effective power flow of each branch road must not exceed its meritorious through-put power restriction;

2-2-5) to get the bid electric power Condition of Non-Negative Constrains:

P _ij,t≥0(6)

2-2-6) unit output bound constraint condition:

$P_{i,min}\≤P_{ie,t}+\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t}\≤P_{i,max}---\left(7\right)$

Wherein, P _{i, min}for the lower limit of exerting oneself of genset i, P _{i, max}for the upper limit of exerting oneself of genset i; During the start of this constraint representation unit, it is exerted oneself and to change in certain scope, is determined by the intrinsic physical characteristics of genset;

3) linear programming for solution device is adopted, solve the electric power ahead market trade matching mathematical model of the embedded power system security constraints of formula (1)-(7), obtain the electric power ahead market trade matching conclusion of the business result of mating right embedded power system security constraints containing trade matching.

Technical characterstic of the present invention and beneficial effect:

The present invention proposes the novel objective function of electricity market trade matching mathematical model, make trade matching mathematical model embody trade matching High-low Match principle, the conclusion of the business result containing a trade matching unpaired message can be obtained; The present invention's transmission limit constraint of being gained merit by circuit to be embedded in electric power ahead market trade matching model unified optimization, is met the trade matching result of power system security constraints; The present invention can provide technical support for adopting the electric power ahead market of trade matching, solve ahead market to conclude the business the difficult problem of embedded consideration power system security constraints, improve efficiency and the precision of ahead market trading clearing, improve the security of ahead market transaction results to electric system, the development of electricity market is significant.

Accompanying drawing explanation

Fig. 1 is the FB(flow block) of the electric power ahead market trade matching method of embedded power system security constraints.

Embodiment

The electric power ahead market trade matching method of the embedded power system security constraints that the present invention proposes, below in conjunction with the further detailed description of the drawings and the specific embodiments; Should be appreciated that embodiment described herein in order to explain the present invention, but can not limit the present invention;

The electric power ahead market trade matching method of the embedded power system security constraints that the present invention proposes, as shown in Figure 1, concrete steps are as follows:

1) obtain ahead market to bid basic data:

Described ahead market basic data of bidding comprises operation characteristic data, a few days ago load prediction data of group of motors, each unit Contract generation at decomposition data, grid topology data, genset bidding data, the power consumer bidding data of second day;

The operation characteristic data of described genset are the upper limit of the exerting oneself/lower limit data of genset;

Described load prediction data is a few days ago second day day part each node power workload demand situation that power dispatching station obtains according to certain technological means;

Described each unit Contract generation is each unit contract rolling exerting oneself to second day day part in the decomposition data of second day;

Described grid topology data comprises the node of electric power networks and the annexation of transmission line of electricity, the effective power flow limit of each transmission cross-section and the circuit ID comprised, each genset and the node load generated output power to every bar transmission line of electricity thereof shift distribution factor data;

To be the genset that participates in ahead market exert oneself and the price of every kilowatt hour electricity to the second day day part that electricity transaction mechanism reports described genset bidding data;

Described power consumer bidding data is the price of the second day day part electric power that reports to electricity transaction mechanism of the power consumer participating in ahead market and every kilowatt hour electricity;

2) according to step 1) ahead market that obtains basic data of bidding builds the mathematical model of the electric power ahead market trade matching of the embedded power system security constraints be made up of objective function and constraint condition;

2-1) build the objective function of the electric power ahead market trade matching mathematical model of embedded power system security constraints, expression formula is as follows:

$max\underset{j=1}{\overset{M}{\Σ}}\underset{i=1}{\overset{N}{\Σ}}(B_{j,t}-C_{i,t})\·P_{ij,t}\·W_{j,t}---\left(1\right)$

This objective function represents the social welfare of Weight coefficient; M is the power consumer number participating in electric power ahead market, and N is the genset number participating in electric power ahead market, B _j,tfor power consumer j offers at the ahead market of t period, C _i,tfor genset i offers at the ahead market of t period, P _{ij, t}for the electric power that genset i and power consumer j struck a bargain in the ahead market t period, W _j,tfor power consumer j is at the weight coefficient of t period:

2-2) build the constraint condition of the electric power ahead market trade matching mathematical model of embedded power system security constraints, expression formula is as follows respectively:

2-2-1) account load balancing constraints condition:

$\underset{i=1}{\overset{N}{\Σ}}(\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t}+P_{ie,t})=\underset{b=1}{\overset{B}{\Σ}}{d}_{b,t}---\left(2\right)$

Wherein, P _{ij, t}for the electric power that genset i and power consumer j struck a bargain in the ahead market t period, P _{ie, t}for curve the exerting oneself in the t period that genset i contract rolling is formed, B is electric system nodes, d _b,tfor node b is at the load of t period; In this constraint representation electrical network, the generated output sum of all units equals electrical network total load;

2-2-2) the genset amount of declaring constraint condition:

$\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t}\≤P_{i,t}---\left(3\right)$

P _i,tthe electric power that genset i declared in the ahead market t period; This constraint representation genset ahead market t period electric power of getting the bid must not exceed it and always declares electric power in the ahead market t period;

2-2-3) the power consumer amount of declaring constraint condition:

$\underset{i=1}{\overset{N}{\Σ}}{P}_{ij,t}\≤P_{j,t}---\left(4\right)$

P _j,tthe electric power that power consumer j declared in the ahead market t period; This constraint representation power consumer ahead market t period electric power of getting the bid must not exceed it and always declares electric power in the ahead market t period;

2-2-4) circuit is gained merit transmission limit constraint condition:

$-P_{L_k}\≤\underset{i=1}{\overset{N}{\Σ}}{G}_{b_i-L_k}(P_{ie,t}+\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t})-\underset{b=1}{\overset{B}{\Σ}}{G}_{b-L_k}{d}_{b,t}\≤P_{L_k}---\left(5\right)$

for branch road L _kthrough-put power restriction, b _ibe the node at i-th genset place, for node b _ito branch road L _ktransfer distribution factor, for node b is to branch road L _kgenerated output power transfer distribution factor; In this constraint representation electrical network, the effective power flow of each branch road must not exceed its meritorious through-put power restriction;

2-2-5) to get the bid electric power Condition of Non-Negative Constrains:

P _ij,t≥0(6)

2-2-6) unit output bound constraint condition:

$P_{i,min}\≤P_{e,t}+\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t}\≤P_{i,max}---\left(7\right)$

Wherein, P _{i, min}for the lower limit of exerting oneself of genset i, P _{i, max}for the upper limit of exerting oneself of genset i; During the start of this constraint representation unit, it is exerted oneself and to change in certain scope, is determined by the intrinsic physical characteristics of genset;

3) linear programming for solution device is adopted, solve the electric power ahead market trade matching mathematical model of the embedded power system security constraints of formula (1)-(7), obtain the electric power ahead market trade matching conclusion of the business result of mating right embedded power system security constraints containing trade matching.

So far, institute of the present invention extracting method is implemented complete.

Below in conjunction with a specific embodiment, the inventive method is explained as follows further:

The present embodiment sets forth the electric power ahead market trade matching method of embedded power system security constraints proposed by the invention for IEEE-118 node power system, and verifies the effect that the present invention realizes:

1) prepare ahead market to bid basic data;

Described ahead market bid basic data refer to operation characteristic data, a few days ago load prediction data of genset, each unit Contract generation second day decomposition data, grid topology data, genset bidding data, power consumer bidding data etc. build consider security constraint electricity market trade matching mathematical model needed for data;

IEEE-118 node power system has 118 nodes, 54 genset; Have 30 power consumers in the present embodiment and participate in ahead market; First operation characteristic data, a few days ago load prediction data of genset, each unit Contract generation is obtained at decomposition data, grid topology data, genset bidding data, the power consumer bidding data of second day; Table 1 is decomposition data, the genset bidding data of each unit Contract generation in the second day period; Table 2 is power consumer bidding data; The operation characteristic data of genset, a few days ago load prediction data and grid topology data adopt the IEEE-118 node raw data in general open source software MATPOWER, do not repeat them here; Every transmission lines transmission capacity upper limit is 400MW.

The each unit Contract generation of table 1 is at decomposition data, the genset bidding data of second day period

Table 2 power consumer bidding data

2) according to step 1) ahead market that obtains basic data of bidding builds the mathematical model of the electric power ahead market trade matching of the embedded power system security constraints be made up of objective function and constraint condition;

2-1) according to step 1) data that obtain, build the objective function of the electric power ahead market trade matching mathematical model of embedded power system security constraints, expression formula is as follows:

$max\underset{j=1}{\overset{M}{\Σ}}\underset{i=1}{\overset{N}{\Σ}}(B_{j,t}-C_{i,t})\·P_{ij,t}\·W_{j,t}---\left(1\right)$

This objective function represents the social welfare of Weight coefficient; M is the power consumer number participating in electric power ahead market, and N is the genset number participating in electric power ahead market, B _j,tfor power consumer j offers at the ahead market of t period, C _i,tfor genset i offers at the ahead market of t period, P _{ij, t}for the electric power that genset i and power consumer j struck a bargain in the ahead market t period, W _j,tfor power consumer j is at the weight coefficient of t period:

2-2) according to step 1) data that obtain, build the constraint condition of the electric power ahead market trade matching mathematical model of embedded power system security constraints, expression formula is as follows respectively:

2-2-1) account load balancing constraints

$\underset{i=1}{\overset{N}{\Σ}}(\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t}+P_{ie,t})=\underset{b=1}{\overset{B}{\Σ}}{d}_{b,t}---\left(2\right)$

Wherein, P _{ij, t}for the electric power that genset i and power consumer j struck a bargain in the ahead market t period, P _{ie, t}for curve the exerting oneself in the t period that genset i contract rolling is formed, B is electric system nodes, d _b,tfor node b is at the load of t period; In this constraint representation electrical network, the generated output sum of all units equals electrical network total load;

2-2-2) the genset amount of declaring constraint condition:

$\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t}\≤P_{i,t}---\left(3\right)$

P _i,tthe electric power that genset i declared in the ahead market t period; This constraint representation genset ahead market t period electric power of getting the bid must not exceed it and always declares electric power in the ahead market t period;

2-2-3) the power consumer amount of declaring constraint condition:

$\underset{i=1}{\overset{N}{\Σ}}{P}_{ij,t}\≤P_{j,t}---\left(4\right)$

P _j,tthe electric power that power consumer j declared in the ahead market t period; This constraint representation power consumer ahead market t period electric power of getting the bid must not exceed it and always declares electric power in the ahead market t period;

2-2-4) circuit is gained merit transmission limit constraint condition:

$-P_{L_k}\≤\underset{i=1}{\overset{N}{\Σ}}{G}_{b_i-L_k}(P_{ie,t}+\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t})-\underset{b=1}{\overset{B}{\Σ}}{G}_{b-L_k}{d}_{b,t}\≤P_{L_k}---\left(5\right)$

for branch road L _kthrough-put power restriction, b _ibe the node at i-th genset place, for node b _ito branch road L _ktransfer distribution factor, for node b is to branch road L _kgenerated output power transfer distribution factor; In this constraint representation electrical network, the effective power flow of each branch road must not exceed its meritorious through-put power restriction;

2-2-5) to get the bid electric power Condition of Non-Negative Constrains:

P _ij,t≥0(6)

2-2-6) unit output bound constraint condition:

$P_{i,min}\≤P_{ie,t}+\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t}\≤P_{i,max}---\left(7\right)$

Wherein, P _{i, min}for the lower limit of exerting oneself of genset i, P _{i, max}for the upper limit of exerting oneself of genset i; During the start of this constraint representation unit, it is exerted oneself and to change in certain scope, is determined by the intrinsic physical characteristics of genset.

3) business mathematics programming evaluation software CPLEX is used, solve the electric power ahead market trade matching mathematical model of the embedded power system security constraints of formula (1)-(7), obtain the electric power ahead market trade matching conclusion of the business result of mating right embedded power system security constraints containing trade matching.

Obtain to mate right trade matching result containing trade matching as shown in table 3; Can see, it is right that the trade matching result of this specific embodiment can obtain trade matching coupling automatically;

Table 3 trade matching result

In this specific embodiment, branch road 7 and branch road 9 arrive the transmission capacity upper limit, if do not have transmission capacity to limit, the trend of branch road 7 and branch road 9 is 450MW, and transaction results also can change; This illustrates that the electric power ahead market trade matching method of the embedded power system security constraints that the present invention proposes is effective.According to method provided by the invention, the ahead market that electricity transaction mechanism can carry out consideration security constraint efficiently goes out clearly, obtain fast mating right trade matching result containing trade matching, obtain the power curve of acceptance of the bid a few days ago of genset, realize distributing rationally of resource; Embodiment illustrates that the present invention can meet the actual needs of electric power ahead market, has important practical significance to the Power Market Construction of China, has boundless application prospect.

It is worth mentioning that, the objective function in implementation step proposed by the invention can be selected flexibly as required and customize, and constraint condition can carry out adding and deleting according to the actual requirements, and extensibility is strong; Therefore, the above implementation step only unrestricted technical scheme of the present invention in order to explanation; Do not depart from any modification or partial replacement of spirit and scope of the invention, all should be encompassed in the middle of right of the present invention.

Claims (1)

1. the electric power ahead market trade matching method of embedded power system security constraints, it is characterized in that, the method comprises the following steps:

1) obtain ahead market to bid basic data:

Described ahead market basic data of bidding comprises operation characteristic data, a few days ago load prediction data of group of motors, each unit Contract generation at decomposition data, grid topology data, genset bidding data, the power consumer bidding data of second day;

The operation characteristic data of described genset are the upper limit of the exerting oneself/lower limit data of genset;

Described load prediction data is a few days ago second day day part each node power workload demand situation that power dispatching station obtains according to certain technological means;

Described each unit Contract generation is each unit contract rolling exerting oneself to second day day part in the decomposition data of second day;

Described grid topology data comprises the node of electric power networks and the annexation of transmission line of electricity, the effective power flow limit of each transmission cross-section and the circuit ID comprised, each genset and the node load generated output power to every bar transmission line of electricity thereof shift distribution factor data;

To be the genset that participates in ahead market exert oneself and the price of every kilowatt hour electricity to the second day day part that electricity transaction mechanism reports described genset bidding data;

Described power consumer bidding data is the price of the second day day part electric power that reports to electricity transaction mechanism of the power consumer participating in ahead market and every kilowatt hour electricity;

2) according to step 1) ahead market that obtains basic data of bidding builds the mathematical model of the electric power ahead market trade matching of the embedded power system security constraints be made up of objective function and constraint condition;

2-1) build the objective function of the electric power ahead market trade matching mathematical model of embedded power system security constraints, expression formula is as follows:

$max\underset{j=1}{\overset{M}{\Σ}}\underset{i=1}{\overset{N}{\Σ}}(B_{j,t}-C_{i,t})\·P_{ij,t}\·W_{j,t}---\left(1\right)$

This objective function represents the social welfare of Weight coefficient; M is the power consumer number participating in electric power ahead market, and N is the genset number participating in electric power ahead market, B _j,tfor power consumer j offers at the ahead market of t period, C _i,tfor genset i offers at the ahead market of t period, P _{ij, t}for the electric power that genset i and power consumer j struck a bargain in the ahead market t period, W _j,tfor power consumer j is at the weight coefficient of t period:

2-2) build the constraint condition of the electric power ahead market trade matching mathematical model of embedded power system security constraints, expression formula is as follows respectively:

2-2-1) account load balancing constraints condition:

$\underset{i=1}{\overset{N}{\Σ}}(\underset{j=1}{\overset{M}{\Σ}}{P}_{j,t}+P_{ie,t})=\underset{b=1}{\overset{B}{\Σ}}{d}_{b,t}---\left(2\right)$

Wherein, P _{ij, t}for the electric power that genset i and power consumer j struck a bargain in the ahead market t period, P _{ie, t}for curve the exerting oneself in the t period that genset i contract rolling is formed, B is electric system nodes, d _b,tfor node b is at the load of t period; In this constraint representation electrical network, the generated output sum of all units equals electrical network total load;

2-2-2) the genset amount of declaring constraint condition:

$\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t}\≤P_{i,t}---\left(3\right)$

P _i,tthe electric power that genset i declared in the ahead market t period; This constraint representation genset ahead market t period electric power of getting the bid must not exceed it and always declares electric power in the ahead market t period;

2-2-3) the power consumer amount of declaring constraint condition:

$\underset{i=1}{\overset{N}{\Σ}}{P}_{ij,t}\≤P_{j,t}---\left(4\right)$

P _j,tthe electric power that power consumer j declared in the ahead market t period; This constraint representation power consumer ahead market t period electric power of getting the bid must not exceed it and always declares electric power in the ahead market t period;

2-2-4) circuit is gained merit transmission limit constraint condition:

$-P_{L_k}\≤\underset{i=1}{\overset{N}{\Σ}}{G}_{b_i-L_k}(P_{ie,t}+\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t})-\underset{b=1}{\overset{B}{\Σ}}{G}_{b-L_k}{d}_{b,t}\≤P_{L_k}---\left(5\right)$

for branch road L _kthrough-put power restriction, b _ibe the node at i-th genset place, for node b _ito branch road L _ktransfer distribution factor, for node b is to branch road L _kgenerated output power transfer distribution factor; In this constraint representation electrical network, the effective power flow of each branch road must not exceed its meritorious through-put power restriction;

2-2-5) to get the bid electric power Condition of Non-Negative Constrains:

P _ij,t≥0(6)

2-2-6) unit output bound constraint condition:

$P_{i,min}\≤P_{ie,t}+\underset{j=1}{\overset{M}{\Σ}}{P}_{ij,t}\≤P_{i,max}---\left(7\right)$

Wherein, P _{i, min}for the lower limit of exerting oneself of genset i, P _{i, max}for the upper limit of exerting oneself of genset i; During the start of this constraint representation unit, it is exerted oneself and to change in certain scope, is determined by the intrinsic physical characteristics of genset;

3) linear programming for solution device is adopted, solve the electric power ahead market trade matching mathematical model of the embedded power system security constraints of formula (1)-(7), obtain the electric power ahead market trade matching conclusion of the business result of mating right embedded power system security constraints containing trade matching.