A load peak shaving control method for electric smelting magnesium based on price guidance and master-slave game

Abstract

The application discloses a load peak shaving control method for electric smelting magnesium based on price guidance and master-slave game, and aims at how to reasonably set a compensation price to encourage enterprises to participate in peak shaving and internal influence problems caused by electric smelting magnesium enterprises participating in peak shaving. The load peak shaving control method for electric smelting magnesium based on price guidance and master-slave game is provided, power-backup compensation price is used to connect a system regulation and control center and electric smelting magnesium enterprises, and flexibility of system economic operation and peak shaving is considered. A thermal power-electric smelting magnesium load peak shaving power distribution control strategy is designed. The system regulation and control center provides differential price compensation according to different peak shaving states, and optimizes system production scheduling. In addition, in view of the problem that electric smelting magnesium enterprises do not participate in peak shaving to a high degree and do not have strong initiative, the electric smelting magnesium enterprises are regarded as independent operators, and the net income maximization of the system regulation and control center and the electric smelting magnesium enterprises is modeled as a master-slave game problem.

Description

Technical Field

[0001] The present invention belongs to the field of power system peak-shaving control. In particular, it aims to address the problems of increased peak-shaving pressure on thermal power units and insufficient load-side regulation capacity due to intensified supply and demand balance fluctuations caused by the increase in the proportion of new energy installed capacity. A fused magnesium load peak-shaving control method based on price compensation and master-slave game is proposed. Background Art

[0002] By the end of December 2023, my country's installed wind power capacity had reached 470 million kilowatts, a year-on-year increase of 19.9%. Renewable energy generation is gradually becoming a key pillar of the power system. However, the randomness and volatility of wind power exacerbate the challenges of balancing grid supply and demand, leading to increased peak-to-valley differences in net load, resulting in adverse peak-shaving characteristics and posing a severe challenge to the stable operation of the system. Thermal power units, as the primary means of peak-shaving, are limited by minimum technical output and operating efficiency, making it difficult to balance safety and economic efficiency under deep peak-shaving conditions. In contrast, high-energy-load loads on the demand side, with their large regulation capacity and rapid response, represent a potential resource for increasing renewable energy absorption and alleviating the pressure on thermal power regulation. As a typical high-energy-load load, fused magnesium loads offer excellent adjustability and can participate in grid peak-shaving by flexibly adjusting production power. However, existing research has primarily focused on the physical regulation capacity of demand-side loads, ignoring the impact of enterprise profits on their peak-shaving incentives. This lack of a reasonable price compensation mechanism to balance the economic interests of the grid and enterprises has resulted in the failure to fully unleash the regulation potential of demand-side resources. Summary of the Invention

[0003] In view of the problems existing in the prior art, the purpose of the present invention is to provide a scientific, reasonable, highly applicable and effective fused magnesium load peak regulation control method based on a price compensation mechanism, which aims to ensure the economy and peak regulation flexibility of the power grid, while encouraging fused magnesium enterprises to actively participate in peak regulation and achieve economic coordination between the power grid and the interests of enterprises.

[0004] The technical solution adopted to achieve the purpose of the present invention is: a fused magnesium load peak regulation control method based on price guidance and master-slave game, which includes the following steps:

[0005] Establishing a fused magnesium industry load peak regulation system, wherein the secondary system of the fused magnesium industry load peak regulation system includes a system control center and a control center of the fused magnesium enterprise;

[0006] A master-slave game model is established with the system control center as the leader in the game and the fused magnesium enterprises as followers. The master-slave game model includes the upper-level system operating costs, the lower-level fused magnesium enterprises' net income, and operating constraints. The game process of the master-slave game model includes:

[0007] The system control center calculates the system equivalent load based on the wind power output forecast value of the fused magnesium industrial load peak regulation system, the initial output of the fused magnesium enterprise and the pre-acquired conventional load power to evaluate the current peak regulation status;

[0008] Based on the current peak load status, the system control center determines the next day's unit generator set under the operating constraints with the goal of minimizing operating costs, and formulates the power compensation income and spare capacity compensation income to form a price incentive signal and transmits it to the fused magnesium enterprise;

[0009] In response to the price incentive signal, the fused magnesium enterprise adjusts its own next-day power generation plan and reserve capacity for peak load regulation with the goal of maximizing its own net profit, and resubmits the plan as a power consumption plan to the system control center;

[0010] The system control center recalculates the operating cost based on the adjusted next-day electricity consumption plan of the fused magnesium enterprise and updates the price incentive signal and sends it to the fused magnesium enterprise again until the optimal peak-shaving state of the fused magnesium industrial load peak-shaving system is obtained through negotiation after multiple rounds of information interaction.

[0011] As a preferred embodiment, the optimal peak-shaving state of the fused magnesium industrial load peak-shaving system is the equilibrium solution of the master-slave game model, and the strategy set of the system control center is M={λ t ,C t v}, the income set is {-C up}, the strategy set of the fused magnesium enterprise is N = {P mg (t)}, the benefit set is {Be}, and the optimal peak-shaving state is {λ * t ,C t v* ,P* mg (t)}, the equilibrium solution of the game model satisfies the formula:

[0012]

[0013] Where λ t C represents the power compensation price paid by the power system operator to the fused magnesium furnace during period t; t v C represents the compensation price for standby capacity of fused magnesium enterprises; up Represents the upper system operating cost; P mg (t) represents the next day's output plan of the fused magnesium enterprise; Be represents the net income of the lower-level fused magnesium enterprise.

[0014] As a preferred embodiment, the objective function of the upper-level system with the goal of minimizing operating costs includes:

[0015] minC up =C pf +C rc +C abon +C mg

[0016]

[0017] Where C up Optimize the total cost of operation for the upper layer of the system; C pf is the operating cost of thermal power units; C rc is the upper and lower reserve capacity cost of thermal power units; t C is the power compensation price paid by the power system operator to the fused magnesium furnace during period t; t v The price for compensation for spare capacity of fused magnesium enterprises; C abon is the cost of wind curtailment; C wind is the unit wind curtailment cost; C mg Adjust utility costs for fused magnesium enterprises; Gj (t) is the output of the jth thermal power unit in the t period; a, b, c are the coal consumption coefficients of the thermal power unit; P coal is the price of unit thermal coal consumed by the unit; c co2 is the unit price of carbon capture per thermal power unit; β j is the carbon emission coefficient of the jth thermal power unit; C sd is the total operating cost of deep peak regulation of thermal power units; is the amount of wind abandoned by the system in period t; is the unit cost of upper and lower reserve capacity of the j-th thermal power unit in period t; They represent the upper and lower reserve capacity of the jth thermal power unit in period t; γ1 and γ2 are the coefficients of the enterprise compensation utility function, P e mg is the operating power under the initial state of fused magnesium load, ΔP mg (t) Reduced power of the fused magnesium furnace required to provide spare capacity;

[0018] The objective function of the fused magnesium enterprise, which aims to maximize its net profit, is:

[0019]

[0020] Where B is the profit price coefficient of magnesium product production, N is the quadratic coefficient of enterprise operation and maintenance cost, and b co2 The unit carbon capture cost of the fused magnesium enterprise, β i is the carbon capture coefficient of the fused magnesium enterprise.

[0021] As a preferred embodiment, the constraints satisfied by the electric smelting aluminum enterprise include:

[0022]

[0023] Where, E d min is the minimum daily energy consumption of the fused magnesium enterprise, and θ1-θ3 are the fused magnesium yields corresponding to the power increase state, rated state, and decrease state.

[0024] As a preferred embodiment, the constraints satisfied by the upper-layer system include:

[0025]

[0026] Where, P wind is the wind power forecast value, P Gj min (t), PG j max (t) are the upper and lower limits of the active power output of the j-th thermal power unit in the t period, are the upper and lower limit ramp rates of thermal power unit j, It is the normal load forecast value.

[0027] As a preferred embodiment, the fused magnesium industrial load peak shaving system includes a thermal power unit, and the control strategy of the fused magnesium load of the fused magnesium enterprise participating in peak shaving under different peak shaving operation states includes: when the system equivalent load demand is less than the down-peak shaving capacity and the thermal power unit's down-climbing capacity is insufficient, the fused magnesium load provides a supplement to the system peak shaving demand and flexibility; when the system equivalent load demand is less than the down-peak shaving capacity and the thermal power unit's down-climbing capacity is satisfied, the fused magnesium load provides a supplement to the system peak shaving demand; when the system equivalent load demand is greater than the down-peak shaving capacity, the thermal power unit's down-climbing capacity is satisfied. When the climbing capacity is insufficient, the fused magnesium load supplements the system's peak-shaving flexibility: when the system's equivalent load demand is greater than the upper peak-shaving capacity and the thermal power unit's upper climbing capacity is insufficient, the fused magnesium load supplements the system's peak-shaving demand and flexibility: when the system's equivalent load demand is within the adjustable peak capacity range and the thermal power unit's climbing capacity is met, the system's peak-shaving demand and flexibility only rely on the thermal power unit for regulation, without the need to adjust the fused magnesium load output; wherein, the lower peak-shaving capacity, upper peak-shaving capacity and adjustable peak capacity range of the fused magnesium industrial load peak-shaving system are all pre-calibrated and obtained.

[0028] As a preferred embodiment, the fused magnesium load response model of the fused magnesium enterprise includes:

[0029] The output power of the fused magnesium furnace is expressed as:

[0030]

[0031] Where: P mg(t) represents the next day power output plan of the electric smelting magnesium enterprise; P(t) is the reference operation power of the electric smelting magnesium furnace at t moment; ΔP k represents the increased (decreased) power when adjusting (downward) from gear k; P max , P min are respectively the maximum and minimum stable operation powers of the electric smelting magnesium furnace under the premise of safe operation; state variable u t , d t represents the 0-1 variable of the electric smelting magnesium furnace at t moment, if the power is adjusted downward at t moment, d t =1, and if the power is adjusted upward, u t =1; x k is the state of gear k, when gear k is selected, x k =1, otherwise x k =0; m and N(t) respectively represent the number of gears of the electric smelting magnesium furnace and the number of electric smelting magnesium furnaces that can be adjusted at t period.

[0032] As a preferred embodiment, the constraint conditions of the electric smelting magnesium furnace power model include:

[0033]

[0034]

[0035] In the formula, ω is the maximum number of adjustments allowed in a production cycle T, T u_max , T d_max are respectively the maximum upward and downward adjustment time of the electric smelting magnesium furnace power; represents the influence coefficient of the electric smelting magnesium furnace power variation on the output; A c is the output of the electric smelting magnesium enterprise before adjustment; A min is the minimum output of the electric smelting magnesium enterprise.

[0036] In a second aspect, the present application provides an electric smelting magnesium load peak shaving control device based on price compensation and master-slave game, which comprises:

[0037] The establishment module is used for establishing an electric smelting magnesium industrial load peak shaving system, and a secondary system of the electric smelting magnesium industrial load peak shaving system comprises a system control center and a control center of an electric smelting magnesium enterprise;

[0038] A game model establishment module is used to establish a master-slave game model with the system control center as the leader in the game and the fused magnesium enterprise as the follower; the master-slave game model includes the upper system operating cost, the lower fused magnesium enterprise net income and operating constraints; the game process of the master-slave game model includes: the system control center calculates the system equivalent load based on the wind power output forecast value of the fused magnesium industrial load peak-shaving system, the initial output of the fused magnesium enterprise and the pre-acquired conventional load power to evaluate the current peak-shaving state; based on the current peak-shaving state, the system control center minimizes the operating cost under the operating constraints The power generation units for the next day are formulated for the target, and the power compensation income and the spare capacity compensation income are formulated to form a price incentive signal which is transmitted to the fused magnesium enterprise; in response to the price incentive signal, the fused magnesium enterprise adjusts its own next-day power generation plan and spare capacity for peak load regulation with the goal of maximizing its own net income, and resubmits the plan to the system control center as a power consumption plan; the system control center recalculates the operating cost according to the adjusted next-day power consumption plan of the fused magnesium enterprise and updates the price incentive signal which is sent to the fused magnesium enterprise again, until the optimal peak load regulation state of the fused magnesium industrial load peak load regulation system is obtained through game after multiple rounds of information interaction.

[0039] In a third aspect, the present invention provides a computer-readable storage medium having a computer program stored thereon, characterized in that when the computer program is executed by a processor, it implements a method for controlling the load peak of fused magnesium based on price compensation and master-slave game as described in any one of claims 1 to 8.

[0040] Compared with the prior art, the present invention has the following beneficial effects:

[0041] The present invention provides a method for controlling fused magnesium load peak regulation based on price guidance and master-slave game. The method connects the system control center and fused magnesium enterprises through the power-reserve compensation price, taking into account the flexibility of system economic operation and peak regulation. A thermal power-fused magnesium load peak regulation power distribution control strategy considering the uncertainty of wind power is designed. The system control center provides differentiated price compensation according to different peak regulation states to optimize system production scheduling. In addition, in order to address the problem that fused magnesium enterprises have a low degree of participation in peak regulation and are not very proactive, fused magnesium enterprises are regarded as independent operators, with the goal of maximizing the net profit of the enterprises, so as to improve the enthusiasm of fused magnesium enterprises to participate in demand response. BRIEF DESCRIPTION OF THE DRAWINGS

[0042] Figure 1 This is a framework diagram of the fused magnesium load peak regulation based on price guidance in the present invention;

[0043] Figure 2 This is the load peak regulation control strategy diagram for fused magnesium;

[0044] Figure 3A flowchart for solving the master-slave game of fused magnesium load based on price guidance;

[0045] Figure 4 This is the 14-day fused magnesium load regulation output diagram;

[0046] Figure 5 This is the power-reserve compensation price chart within 14 days;

[0047] Figure 6 This is the wind power curtailment diagram for the scenario within 14 days;

[0048] Figure 7 This is the minimum and maximum wind curtailment situation map within 14 days;

[0049] Figure 8 This is a comparison chart of upper and lower spare capacity for system flexibility scenarios 1 and 4. DETAILED DESCRIPTION

[0050] The present invention will be further described in detail below in conjunction with specific embodiments. The following examples are used to illustrate the present invention, but it should be understood that the scope of protection of the present invention is not limited by the specific embodiments.

[0051] like Figures 1 to 3 As shown in the figure, this paper invented a fused magnesium load peak-shaving control method based on price guidance and master-slave game. It connects the system control center and fused magnesium enterprises through the power-reserve compensation price, taking into account the flexibility of system economic operation and peak-shaving. It also designed a thermal power-fused magnesium load peak-shaving power allocation control strategy that considers the uncertainty of wind power. The system control center provides differentiated price compensation according to different peak-shaving states to optimize system production scheduling.

[0052] In addition, to address the issue of low participation and initiative of fused magnesium enterprises in peak load regulation, this paper treats fused magnesium enterprises as independent operators, with the goal of maximizing their net profits, and improves their enthusiasm for participating in demand response. Finally, through long-term peak load regulation effect analysis and comparison of simulation results of different scenarios, it is verified that this method is effective in balancing the system peak load regulation effect and improving the peak load regulation enthusiasm of fused magnesium enterprises. The specific steps are:

[0053] Furthermore, the power model of the fused magnesium furnace in step 1 is specifically:

[0054] The operation of a fused magnesium furnace can be divided into three stages: starting up, melting, and shutting down. In the starting up stage, the fused magnesium furnace heats the magnesite ore to a molten state, the electrode descends, and the arc power gradually increases; in the melting stage, the arc power maintains the high temperature of the molten pool, and the power demand is relatively stable; in the shutting down stage, the electrode power gradually decreases, and the arc power decreases with the temperature until it shuts down. The output power of the fused magnesium furnace can be expressed as:

[0055]

[0056]

[0057] In the formula: is the benchmark operating power of the fused magnesium furnace at time t; ΔP k Indicates the power increase (decrease) from gear k when adjusting upward (downward); P mg (t) represents the next day's output plan of the fused magnesium enterprise; P max 、P min are the maximum and minimum stable operating powers that the fused magnesium furnace can withstand under the premise of safe operation; the state variable u t d t A 0-1 variable representing the up / down adjustment position of the fused magnesium furnace at time t. If the power is lowered at time t, d t =1, if the power is increased, u t =1;x k is the state of gear k. When gear k is selected, x k =1, otherwise x k =0; m and N(t) respectively represent the number of adjustment gears of the fused magnesium furnace and the number of fused magnesium furnaces that can participate in the adjustment at time t.

[0058] Furthermore, the power model constraint conditions of the fused magnesium furnace in step 1 are specifically:

[0059] In order to ensure production safety and efficiency, it is necessary to strictly limit the number of adjustments of the fused magnesium furnace. Constraint formula:

[0060]

[0061] Where: ω is the maximum number of adjustments allowed within a production cycle T.

[0062] To ensure the stability of the molten pool, it is necessary to maintain stable temperature and current. Continuous adjustments in a short period of time may cause fluctuations in the molten pool temperature, affecting the smelting effect. Therefore, setting an adjustment time constraint can avoid frequent adjustments in a short period of time and ensure the stability of the molten pool temperature and current. The adjustment time constraint of the electric magnesium furnace is:

[0063]

[0064] Where: T u_max 、T d_max They are respectively the longest continuous increase and decrease time of the power of the electric magnesium furnace.

[0065] When fused magnesium enterprises participate in demand response, in order to ensure that the output of enterprises does not decrease before and after the adjustment, the output constraints on fused magnesium enterprises are as follows:

[0066]

[0067] Where, β represents the influence coefficient of the power change of the fused magnesium furnace on the output; A c A is the output of fused magnesium enterprises before adjustment; min The lowest production volume is expected for fused magnesium enterprises.

[0068] Furthermore, in step 2, 1) the peak load shaving participants and enterprises interact in a master-slave game. Specifically, the system control center is the leader in the game, and the fused magnesium enterprise is the follower to establish a master-slave game model. The game model takes into account both sequentiality and dynamics. The specific game process is as follows. To simplify the formula, the two-way constraint is expressed in only one formula: P d is the equivalent load demand of the system; D Prp (t) is the peak load demand at time t; θ mg (t) is the peak load power supplied by the fused magnesium load at time t; D Pfp (t) is the system peak-shaving flexibility demand at time t; P e mg P is the operating power under the initial state of fused magnesium load; G (t) is the output of the thermal power unit at time t; is the climbing constraint of thermal power unit at time t; λt, C ν t They are power compensation and standby compensation for fused magnesium enterprises respectively; d mg is the power compensation benefit, D mg P is the reserve capacity compensation income; load Output for normal load.

[0069] 1) The system control center calculates the system equivalent load based on the wind power output forecast, the initial output of the fused magnesium enterprise and the conventional load power, and evaluates the current peak load status. Then, the peak load participant control center combines the system power balance constraints, operation safety constraints and unit operation constraints to formulate the next day's unit power generation plan with the goal of minimizing the system operation cost, and formulates the power compensation d mg and reserve capacity compensation D mg The price incentive signal is transmitted to the fused magnesium enterprises.

[0070] 2) Based on the incentive signal received, the fused magnesium enterprise adjusts the next day's work plan P with the goal of maximizing its own net profit. mg (t) and spare capacity to obtain additional peak shaving compensation, and resubmit the adjusted demand to the peak shaving participant control center.

[0071] 3) The peak load control center calculates its own economic cost based on the electricity consumption plan received from the fused magnesium enterprise, updates the price incentive, and sends it to the fused magnesium enterprise again until the optimal peak load state is achieved after multiple rounds of information interaction. Figure 3This embodiment adopts a genetic variant bit solving algorithm for the game process of multiple rounds of information interaction. After each price incentive update, a mutation crossover operation is performed on population a to form population b, and the net profit of the enterprise is recalculated. The updated output plan is solved by calling the Gurobi solver.

[0072] Furthermore, the control strategies for different peak-shaving operation states in step 2) are as follows: ① the system equivalent load demand is greater than the peak-shaving capacity, and the thermal power unit's ramping capability is satisfied, specifically:

[0073] When the system equivalent load demand is greater than the peak-shaving capacity, the thermal power unit's ramp-up capability is sufficient, and the peak-shaving demand is met by the fused magnesium load:

[0074]

[0075] Furthermore, in step 2) of the control strategy for different peak-shaving operation states, ② the system equivalent load demand is less than the peak-shaving capacity, and the thermal power unit's climbing capability is not satisfied, specifically:

[0076] When the system equivalent load demand is less than the peak-shaving capacity and the thermal power unit's ramp-up capability is insufficient, the fused magnesium load provides additional peak-shaving flexibility for the system:

[0077]

[0078] Furthermore, in step 2) of the control strategy for different peak-shaving operation states, ③ the system equivalent load demand is less than the peak-shaving capacity, and the thermal power unit's ramp-down capability is not satisfied, specifically:

[0079] When the system equivalent load demand is less than the peak-shaving capacity and the thermal power unit's ramp-down capability is insufficient, the fused magnesium load supplements the system's peak-shaving demand and flexibility:

[0080]

[0081] Furthermore, in step 2) of the control strategy for different peak-shaving operation states, ④ the system equivalent load demand is less than the peak-shaving capacity, and the thermal power unit's ramp-down capability is satisfied, specifically:

[0082] When the system equivalent load demand is less than the peak-shaving capacity and the thermal power unit's ramp-down capability is sufficient, the fused magnesium load supplements the system peak-shaving demand:

[0083]

[0084] Furthermore, the control strategy for different peak-shaving operation states in step 2) is as follows: ⑤ the system equivalent load demand is greater than the peak-shaving capacity, and the thermal power unit has insufficient ramp-down capability, specifically:

[0085] When the system equivalent load demand is greater than the peak-shaving capacity and the thermal power units have insufficient ramp-down capability, the fused magnesium load provides additional peak-shaving flexibility for the system:

[0086]

[0087] Furthermore, the control strategy for different peak-shaving operation states in step 2) is as follows: ⑥ The system equivalent load demand is greater than the peak-shaving capacity, and the thermal power unit has insufficient ramping capability, specifically:

[0088] When the system equivalent load demand is greater than the peak-shaving capacity and the thermal power units have insufficient ramping capability, the fused magnesium load can supplement the system peak-shaving demand and flexibility:

[0089]

[0090] Furthermore, the control strategy for different peak-shaving operation states in step 2) is as follows: ⑦ The system equivalent load demand is within the peak-shaving capacity range and the thermal power unit climbing capability is satisfied, specifically:

[0091] When the system equivalent load demand is within the adjustable peak capacity range and the climbing capacity of the thermal power unit is met, the system peak load demand and flexibility can be adjusted only by the thermal power unit without adjusting the molten magnesium load output.

[0092] Furthermore, in step 3, the thermal power cost in the objective function of the overall operation cost of the upper system in 1) is specifically:

[0093] The cost model for thermal power peak regulation is divided into three stages: basic peak regulation, deep peak regulation without oil injection, and deep peak regulation with oil injection.

[0094]

[0095] Where: C Pg Coal consumption cost in the basic peak-shaving stage; T N is the total number of time periods; N G is the total number of thermal power units; P Gj (t) is the output of unit j at time t; a, b, c are the coal consumption coefficients of thermal power units; P coal is the price of unit thermal coal consumed by the unit; c co2 is the unit price of carbon capture per thermal power unit; β j is the carbon emission coefficient of thermal power unit j.

[0096] Life loss cost of thermal power units:

[0097]

[0098] N F,i,t =0.00577P Gj (t) 3-2.682P Gj (t) 2 +484.8P Gj (t)-8411 (16)

[0099] Where: C lifetime is the unit life loss cost; μ is the actual operation loss coefficient; C Gi is the purchase cost of the thermal power unit, which is mainly related to the unit capacity; N F,i,t is the number of rotor cracking cycles of the i-th thermal power unit at time t, which is related to the output of the thermal power unit.

[0100] C oil =P oil ·K oil (17)

[0101] Where: P oil is the unit oil price; K oil The amount of oil used by the unit to participate in deep peak regulation.

[0102] In summary, the total operating cost of thermal power units in the deep peak regulation stage is:

[0103] C sd =C lifetime +C oil (18)

[0104] Where C sd is the total operating cost of deep peak regulation of thermal power units.

[0105] Furthermore, the objective function of the overall operation cost of the upper system in step 1) of step 3 is specifically:

[0106] minC up =C pf +C rc +C abon +C mg (19)

[0107]

[0108] Where C up Optimize the total cost of operation for the upper layer of the system; C pf is the operating cost of thermal power units; C rc is the upper and lower reserve capacity cost of thermal power units; t C is the power compensation price paid by the power system operator to the fused magnesium furnace during period t; t v The price for compensation for spare capacity of fused magnesium enterprises; C abon is the cost of wind curtailment; C wind is the unit wind curtailment cost; is the amount of wind abandoned by the system in period t; C mg Regulate utility costs for fused magnesium enterprises; is the unit cost of upper and lower reserve capacity of the j-th thermal power unit in time period t; Respectively represent the upper / lower reserve capacity of the jth thermal power unit in time period t; γ1 and γ2 are the coefficients of the enterprise compensation utility function, which is usually represented by a quadratic function or a logarithmic function. ΔP mg (t) Reduced fused magnesium furnace power required to provide spare capacity.

[0109] Furthermore, the constraints of the overall operating cost of the upper-level system in step 3 1) are: ① Wind power and thermal power operation constraints, specifically:

[0110] Wind power output constraints

[0111]

[0112] Where, P wind is the predicted value of wind power.

[0113] Output constraints of thermal power units:

[0114]

[0115] Where, P Gj min (t), P Gj max (t) are the upper and lower limits of the active power output of thermal power unit j at time t.

[0116] Thermal power unit ramp constraints:

[0117]

[0118] Where, are the upper and lower limit climbing rates of thermal power unit j respectively.

[0119] Upper and lower spare capacity constraints:

[0120]

[0121] Furthermore, the constraint condition ② of the overall operation cost of the upper-level system in step 3) is the system operation constraint, specifically:

[0122]

[0123] Where, It is the normal load forecast value.

[0124] Furthermore, the profit objective function in the net profit objective function of the lower-level fused magnesium enterprise in step 3 1) is specifically:

[0125]

[0126] The product revenue is:

[0127] A t =BP mg (t) (27)

[0128] In the formula: The profit B obtained by the fused magnesium enterprise from producing fused magnesium is the price coefficient of the magnesium product production profit, which has taken into account factors such as raw material cost and electricity cost. The price coefficient can be obtained by converting the profit per ton of magnesium.

[0129] The benefits of fused magnesium enterprises participating in demand response are:

[0130]

[0131] Enterprise operation and maintenance costs:

[0132]

[0133] Where: N is the quadratic coefficient of the cost.

[0134] The carbon emission cost of an enterprise is:

[0135]

[0136] Where b co2 The unit carbon capture cost of the fused magnesium enterprise, β i is the carbon capture coefficient of the fused magnesium enterprise.

[0137] Furthermore, the constraint condition ③ of the overall operating cost of the upper system in step 3 2) is the power constraint of the fused magnesium furnace, specifically:

[0138]

[0139] Furthermore, the constraint condition ④ of the overall operating cost of the upper system in step 3 2) is the daily output constraint of the fused magnesium enterprise, specifically:

[0140]

[0141] Where, E d min is the minimum daily energy consumption of the fused magnesium plant, and θ1-θ3 are the fused magnesium yields corresponding to the power increase state, rated state, and power decrease state.

[0142] Furthermore, the proof and solution of the game model in step 3 are as follows:

[0143] The master-slave game model, the leader of the model is the power system peak load control center, and its strategy set is M = {λ t ,C t v}, the income set is {-C up}; The strategy set of the enterprise as a follower is N = {P mg (t)}, the payoff set is {Be}, assuming To be the equilibrium solution of the Stackelberg game model in this paper, it needs to satisfy the formula:

[0144]

[0145] In equilibrium, neither player can unilaterally change their strategy to gain greater benefits. The following theorem proves the existence and uniqueness of the Stackelberg equilibrium solution.

[0146] The following proves that the master-slave game model proposed in this paper meets the above three conditions:

[0147] 1) According to the constraints of the above participants, the strategy spaces of both are non-empty, bounded, closed convex sets, that is, non-empty compact convex sets.

[0148] 2) Corporate income can be expressed as:

[0149]

[0150] The results of taking the first-order derivative and the second-order derivative of its strategy set are:

[0151]

[0152] Since the parameters given in this paper are N>0,γ1>0,γ2>0, Under given constraints, once the leader at the top determines the compensation price strategy, the optimal strategy for the followers at the bottom is unique. By setting the first-order partial derivative to zero, we can find the optimal strategy. This is the proof.

[0153] 3) The optimal solution of the enterprise {P mg (t)} is substituted into the objective function of the upper system peak load control center, and then the objective function is calculated with respect to the strategy {λ t ,C t v The second-order partial derivative of} yields the Hessian matrix as follows:

[0154]

[0155] The Hessian matrix is ​​positive definite. Using the Hessian matrix to determine the extreme value problem, we know that the upper-level system peak-shaving control center has a unique optimal strategy, which is proven. All three of the above conditions have been proven, and thus the master-slave game model in this paper has a unique equilibrium solution.

[0156] Step 4: Analyze the effectiveness of different solutions;

[0157] To verify the validity and rationality of the model, the specific conditions and parameters are as follows: the rated capacity of the system's thermal power units is set at 1200 MW; the installed capacity of the wind farm is 800 MW (accounting for 56% of the installed power capacity); and the unit wind curtailment penalty cost is 250 yuan / MWh. Assume that a fused magnesium enterprise has two fused magnesium plants with a total load of 800 MW. Field research at a magnesite enterprise in Haicheng, Liaoning Province, revealed that fused magnesium typically operates at high energy loads 24 hours a day, with the maximum power that can be adjusted up or down set at 25% of the rated power. The dispatch cycle is 24 hours, and the maximum number of times the fused magnesium furnace can be adjusted within a dispatch cycle is no more than 10 times. The maximum continuous adjustment time is 10 hours, and the maximum continuous adjustment time is no more than 7 hours. Simulation analysis was performed in the MATLAB simulation environment.

[0158] To verify the advantages of the solution of the present invention, Model 1 is set as the master-slave model optimization strategy proposed in the present invention, and the fused magnesium load coordinated peak regulation based on the price guidance mechanism. Model 2 is the impact of different price compensation mechanisms on system flexibility, where scenario 1 does not consider the demand response provided by the fused magnesium load; scenario 2 considers the power compensation and price compensation of the fused magnesium load. Figure 4 It can be seen that Model 1 has obvious load regulation effect of fused magnesium within 14 days and better follow-up degree. Figure 5 It can be seen that the fused magnesium load provides a response capacity increase during the power compensation phase, and can be used to adjust the fused magnesium load downward during the standby compensation period, providing system flexibility and enhancing the peaking effect. Figure 6 It can be seen that the total wind power curtailment rate of the system peak load regulation within 14 days is 5.836%, which has a better wind power absorption effect compared with the fused magnesium enterprise as a traditional load. Figure 7 The two days with the lowest and highest wind curtailment rates are the 10th and 11th days, with wind curtailment rates of 1.67% and 8.50% respectively, which further verifies the effectiveness of the power-reserve price-guided fused magnesium load in participating in system peak regulation on a long time scale. Figure 8 It can be seen that in Scenario 2, the cost of upper reserve capacity for thermal power units decreased by 14% compared to Scenario 1. In addition, the flexibility of thermal power units was enhanced, providing more lower reserve capacity.

[0159] The embodiments of the present invention are not exhaustive and do not limit the scope of protection of the claims. Those skilled in the art can conceive of other substantially equivalent alternatives based on the inspiration gained from the embodiments of the present invention without creative work, and all of them are within the scope of protection of the present invention.

Claims

1. A method for load peak regulation control of fused magnesium based on price compensation and master-slave game, characterized in that: include: Establishing a fused magnesium industry load peak regulation system, wherein the secondary system of the fused magnesium industry load peak regulation system includes a system control center and a control center of the fused magnesium enterprise; A master-slave game model is established with the system control center as the leader in the game and the fused magnesium enterprises as followers; The master-slave game model includes the upper system operating costs, the lower fused magnesium enterprise net income and operating constraints; The game process of the master-slave game model includes: The system control center calculates the system equivalent load to evaluate the current peak load regulation status based on the wind power output forecast value of the fused magnesium industrial load peak regulation system, the initial output of the fused magnesium enterprise and the pre-acquired conventional load power; Based on the current peak load status, the system control center determines the generator set for the next day with the goal of minimizing the operating cost under the operating constraints, and formulates the price incentive signal composed of power compensation income and spare capacity compensation income to be transmitted to the fused magnesium enterprise; In response to the price incentive signal, the fused magnesium enterprise adjusts its own next-day power generation plan and reserve capacity for peak load regulation with the goal of maximizing its own net profit, and resubmits the plan as a power consumption plan to the system control center; The system control center recalculates the operating cost according to the adjusted next-day electricity consumption plan of the fused magnesium enterprise and updates the price incentive signal and sends it to the fused magnesium enterprise again, until after multiple rounds of information interaction, the optimal peak-shaving state of the fused magnesium industrial load peak-shaving system is obtained to meet the supply and demand balance; The optimal peak-shaving state of the fused magnesium industrial load peak-shaving system is the equilibrium solution of the master-slave game model, and the strategy set of the system control center is M={λ t ,C t v }, the income set is {-C up }, the strategy set of the fused magnesium enterprise is N = {P mg (t)}, the benefit set is {Be}, the optimal peak-shaving state is {λ * t ,C t v* ,P* mg (t)}, the equilibrium solution of the game model satisfies the formula: Where λ t C represents the power compensation price paid by the power system operator to the fused magnesium furnace during period t; t v C represents the compensation price for standby capacity of fused magnesium enterprises; up Represents the upper system operating cost; P mg (t) represents the next day's output plan of the fused magnesium enterprise; Be represents the net income of the lower-level fused magnesium enterprise; The fused magnesium load response model of the fused magnesium enterprise includes: The output power of the fused magnesium furnace is expressed as: P min ≤P mg (t)≤P max Where: P mg (t) represents the next day's output plan of the fused magnesium enterprise; is the benchmark operating power of the fused magnesium furnace at time t; ΔP k Indicates the power increased by adjusting from gear k upward, or the power decreased by adjusting from gear k downward; P max 、P min are the maximum and minimum stable operating powers that the fused magnesium furnace can withstand under the premise of safe operation; the state variable u t d t A 0-1 variable representing the up / down adjustment position of the fused magnesium furnace at time t. If the power is lowered at time t, d t =1, if the power is increased, u t =1;x k is the state of gear k. When gear k is selected, x k =1, otherwise x k =0; m and N(t) respectively represent the number of adjustment gears of the fused magnesium furnace and the number of fused magnesium furnaces that can participate in the adjustment during the t period.

2. The fused magnesium load peak regulation control method based on price compensation and master-slave game according to claim 1 is characterized in that: The objective functions of the upper-level system, which aim to minimize operating costs, include: my C up =C pf +C rc +C abon +C mg Where C up Optimize the total cost of operation for the upper layer of the system; C pf is the operating cost of thermal power units; C rc is the upper and lower reserve capacity cost of thermal power units; t C is the power compensation price paid by the power system operator to the fused magnesium furnace during period t; t v The price for compensation for spare capacity of fused magnesium enterprises; C abon is the cost of wind curtailment; C wind is the unit wind curtailment cost; C mg Adjust utility costs for fused magnesium enterprises; Gj (t) is the output of the jth thermal power unit in the t period; a, b, c are the coal consumption coefficients of the thermal power unit; P coal is the price of unit thermal coal consumed by the unit; c co2 is the unit price of carbon capture per thermal power unit; β j is the carbon emission coefficient of the jth thermal power unit; C sd is the total operating cost of deep peak regulation of thermal power units; is the amount of wind abandoned by the system in period t; is the unit cost of upper and lower reserve capacity of the j-th thermal power unit in period t; They represent the upper and lower reserve capacity of the jth thermal power unit in period t; γ1 and γ2 are the coefficients of the enterprise compensation utility function, P e mg is the operating power under the initial state of fused magnesium load, ΔP mg (t) Reduced power of the fused magnesium furnace required to provide spare capacity; The objective function of the fused magnesium enterprise, which aims to maximize its net profit, is: Where B is the profit price coefficient of magnesium product production, N is the quadratic coefficient of enterprise operation and maintenance cost, and b co2 The unit carbon capture cost of the fused magnesium enterprise, β i is the carbon capture coefficient of the fused magnesium enterprise.

3. The fused magnesium load peak regulation control method based on price compensation and master-slave game according to claim 2 is characterized in that: The constraints satisfied by the fused magnesium enterprise include: Where, is the minimum daily energy consumption of the fused magnesium enterprise, and θ1-θ3 are the fused magnesium yields corresponding to the power increase state, rated state, and decrease state.

4. The fused magnesium load peak regulation control method based on price compensation and master-slave game according to claim 2 is characterized in that: The constraints satisfied by the upper system include: Where, P wind is the predicted value of wind power, are the upper and lower limits of the active power output of the jth thermal power unit in period t, are the upper and lower limit ramp rates of thermal power unit j, It is the normal load forecast value.

5. The fused magnesium load peak regulation control method based on price compensation and master-slave game according to claim 1 is characterized in that: The fused magnesium industry load peak-shaving system includes a thermal power unit. To meet the supply and demand balance, the fused magnesium industry load peak-shaving system includes the following control strategies for the fused magnesium load of the fused magnesium enterprise to participate in peak-shaving under different peak-shaving operation states: When the system equivalent load demand is less than the lower peak-shaving capacity and the thermal power unit's lower climbing capacity is insufficient, the fused magnesium load supplements the system's peak-shaving demand and flexibility: When the system equivalent load demand is less than the lower peak-shaving capacity and the thermal power unit's lower climbing capacity is satisfied, the fused magnesium load supplements the system's peak-shaving demand: When the system equivalent load demand is greater than the lower peak-shaving capacity and the thermal power unit's lower climbing capacity is insufficient, the fused magnesium load supplements the system's peak-shaving flexibility: When the system equivalent load demand is greater than the upper peak-shaving capacity and the thermal power unit's upper climbing capacity is insufficient, the fused magnesium load supplements the system's peak-shaving demand and flexibility: When the system equivalent load demand is within the adjustable peak capacity range and the thermal power unit's climbing capacity is satisfied, the system's peak-shaving demand and flexibility rely solely on the thermal power unit's regulation, and there is no need to adjust the fused magnesium load output; The downward peak-regulating capacity, upward peak-regulating capacity and adjustable peak-capacity range of the fused magnesium industrial load peak-regulating system are all pre-calibrated and obtained.

6. The fused magnesium load peak regulation control method based on price compensation and master-slave game according to claim 1 is characterized in that: The constraints of the fused magnesium furnace power model include: Where ω is the maximum number of adjustments allowed within a production cycle T, T u_max 、T d_max are the longest continuous increase and decrease time of the power of the fused magnesium furnace; represents the influence coefficient of the power change of the fused magnesium furnace on the output; A c A is the output of fused magnesium enterprises before adjustment; min The lowest production volume is expected for fused magnesium enterprises.

7. A fused magnesium load peak regulation control device based on price compensation and master-slave game, characterized in that: The method for controlling fused magnesium load peak regulation based on price compensation and master-slave game according to any one of claims 1 to 6, wherein the device comprises: Establish a module for establishing a fused magnesium industry load peak regulation system, wherein the secondary system of the fused magnesium industry load peak regulation system includes a system control center and a control center of the fused magnesium enterprise; A game model establishment module is used to establish a master-slave game model with the system control center as the leader in the game and the fused magnesium enterprise as the follower; the master-slave game model includes the upper system operating cost, the lower fused magnesium enterprise net income and operating constraints; the game process of the master-slave game model includes: the system control center calculates the system equivalent load based on the wind power output forecast value of the fused magnesium industrial load peak-shaving system, the initial output of the fused magnesium enterprise and the pre-acquired conventional load power to evaluate the current peak-shaving state; based on the current peak-shaving state, the system control center minimizes the operating cost under the operating constraints The power generation units for the next day are formulated for the target, and the power compensation income and the spare capacity compensation income are formulated to form a price incentive signal which is transmitted to the fused magnesium enterprise; in response to the price incentive signal, the fused magnesium enterprise adjusts its own next-day power generation plan and spare capacity for peak load regulation with the goal of maximizing its own net income, and resubmits the plan to the system control center as a power consumption plan; the system control center recalculates the operating cost according to the adjusted next-day power consumption plan of the fused magnesium enterprise and updates the price incentive signal which is sent to the fused magnesium enterprise again, until the optimal peak load regulation state of the fused magnesium industrial load peak load regulation system is obtained through game after multiple rounds of information interaction.

8. A computer-readable storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, it implements a fused magnesium load peak regulation control method based on price compensation and master-slave game as described in any one of claims 1 to 6.

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