A nuclear storage integrated NPSI combined robust operation and value quantification method and terminal
By using the integrated nuclear power plant (NPSI) joint operation model, multiple peak-shaving depths and optimization models were set up, which improved the peak-shaving capacity of nuclear power units, solved the problem of insufficient peak-shaving capacity of nuclear power units, and promoted the consumption of renewable energy and the stability of the power system.
Patent Information
- Application Number
- CN202411726616.7
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- Filing Date
- 2024-11-28
- Publication Date
- 2026-02-13
- Estimated Expiration
- 2044-11-28
AI Technical Summary
The insufficient peak-shaving capacity of nuclear power units has led to a serious phenomenon of abandoning nuclear power, which cannot effectively assist in the consumption of renewable energy and poses safety hazards. How can nuclear power be combined with pumped storage to improve peak-shaving capacity and safety?
By establishing a joint operation model of nuclear power and pumped storage (NPSI), considering the operating characteristics of nuclear power and pumped storage, setting multiple peak-shaving depths, optimizing the joint operation model of NPSI, and constructing quantitative indicators of system value under multiple scenarios, including safety, reliability, and economic indicators.
It has effectively improved the peak-shaving capacity of nuclear power units, promoted the consumption of renewable energy, ensured the stability and economy of the power system, and solved the problem of insufficient flexibility of nuclear power.
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Figure CN119726820B_ABST
Abstract
Description
TECHNICAL FIELD
[0001] The application belongs to the field of robust optimization scheduling of power systems, and particularly relates to a nuclear and storage integrated NPSI joint robust operation and value quantification method and a terminal. BACKGROUND
[0002] With the gradual advancement of the "double carbon" goal, the layout planning of new energy such as wind power and photovoltaic is also accelerating expansion, increasing the uncertainty of system power output, and bringing great challenges to the safe and stable operation of the power system. At the same time, the load peak-valley difference in the power system is also increasing year by year, making the power system peak shaving pressure of the thermal power unit as the main body more severe. In addition, due to the limitation of power supply structure and the influence of heating demand, the valley peak shaving capacity of the power system is limited, and the problem of wind and light abandonment is becoming increasingly serious, which brings great difficulty to the safety of the power system and the consumption of high proportion of new energy, and new peak shaving power and means are urgently needed.
[0003] Energy storage is a powerful means to deal with the instability of renewable energy output, of which pumped storage accounts for more than 76%; At the same time, nuclear power has small environmental pollution, large unit area installed capacity, low marginal cost than thermal power, and theoretically non-exhaustible nuclear fuel, and reliable operation, which is one of the important links to solve the energy shortage, combined with the excellent regulation capacity of pumped storage, which can greatly release the potential of nuclear power construction.
[0004] However, nuclear power has the characteristics of high construction cost, high safety requirement, technical limitation of frequent change of power load, difficulty in fuel design and post-processing caused by frequent change of power, and high risk of misoperation, etc. The early operation mode only carries basic load and does not participate in peak shaving. Nuclear power runs at rated or near rated power, and other units cooperate with load changes to adjust power. After technical iteration, the newly added nuclear power units generally have a certain peak shaving capacity, but they still cannot match thermal power units in terms of peak shaving depth and economy, and there are certain safety hazards.
[0005] At the same time, with the rapid development of renewable energy, the load peak-valley difference is increasing, and nuclear power units in areas with high proportion of nuclear power are facing urgent peak shaving demand. However, the depth and speed of nuclear power unit variable output are limited by safety and economy, and the nuclear fuel rod replacement cycle is relatively fixed. The peak shaving operation of nuclear power is equivalent to "abandoning nuclear power", which is essentially a waste. Pumped storage power station is currently recognized as the most economical peak shaving power source, which can play the valley filling function that other power plants do not have, and has rapid start-up, reliable operation, and strong auxiliary service function. Nuclear storage matching is the best choice to take advantage of each other. The joint operation of nuclear power and pumped storage can better meet the needs of the power system and ensure that nuclear power units run more stably as basic load. Therefore, how to jointly operate nuclear power and pumped storage has become a technical problem that needs to be solved at present. SUMMARY
[0006] The technical problem solved by the present application is to provide a nuclear storage integrated NPSI combined robust operation and value quantification method and terminal, which can compensate for the power gap with nuclear power while exerting the excellent auxiliary service characteristics of pumped storage, ensuring regional power supply stability, solving the problem of insufficient flexibility of nuclear power, and promoting the consumption of renewable energy in different scenarios.
[0007] To solve the above technical problems, the technical scheme adopted by the present application is:
[0008] A nuclear storage integrated NPSI combined robust operation and value quantification method, comprising the steps of:
[0009] S1, considering the operation characteristics of nuclear power and pumped storage, a nuclear storage integrated NPSI combined operation model is established by setting multiple peak shaving depths and considering flexible complementarity of daily operation characteristics;
[0010] S2, considering the random uncertainty and load overload of new energy, and considering the system peak shaving cost, the nuclear storage integrated NPSI combined operation model is optimized to obtain an NPSI combined robust optimization operation model;
[0011] S3, based on the NPSI combined robust optimization operation model, a system value quantification index of NPSI operation under multiple scenarios is constructed, including comprehensive quantification of safety index, reliability index and economic index of NPSI participating in power system operation under different seasonal typical days and extreme scenarios.
[0012] To solve the above technical problems, another technical scheme adopted by the present application is:
[0013] A nuclear storage integrated NPSI combined robust operation and value quantification terminal, comprising a memory, a processor and a computer program stored in the memory and executable on the processor, wherein the processor implements the following steps when executing the computer program:
[0014] S1, considering the operation characteristics of nuclear power and pumped storage, a nuclear storage integrated NPSI combined operation model is established by setting multiple peak shaving depths and considering flexible complementarity of daily operation characteristics;
[0015] S2, considering the random uncertainty and load overload of new energy, and considering the system peak shaving cost, the nuclear storage integrated NPSI combined operation model is optimized to obtain an NPSI combined robust optimization operation model;
[0016] S3, based on the NPSI combined robust optimization operation model, a system value quantification index of NPSI operation under multiple scenarios is constructed, including comprehensive quantification of safety index, reliability index and economic index of NPSI participating in power system operation under different seasonal typical days and extreme scenarios.
[0017] The application has the beneficial effect of providing a nuclear storage integrated NPSI combined robust operation and value quantification method, which firstly considers the operation characteristics of nuclear power and pumped storage, establishes a nuclear storage integrated NPSI combined operation model by setting multiple peak shaving depths and considering daily operation characteristics flexible complementation; then considers the random uncertainty of new energy and load overload, considers the system peak shaving cost, and optimizes the nuclear storage integrated NPSI combined operation model to obtain an NPSI combined robust optimization operation model that can flexibly respond to system regulation requirements; finally, based on the NPSI combined robust optimization operation model, a system value quantification index of NPSI operation under multiple scenarios is constructed, including safety index, reliability index and economic index of NPSI participating in power system operation under different seasonal typical days and extreme scenarios, effectively realizing the combined operation of nuclear power and pumped storage, better meeting the needs of the power system, solving the problem of insufficient flexibility of nuclear power, and promoting the consumption of renewable energy under different scenarios. BRIEF DESCRIPTION OF DRAWINGS
[0018] Figure 1 It is a whole flow chart of a nuclear storage integrated NPSI combined robust operation and value quantification method of the embodiment of the application;
[0019] Figure 2 It is a power supply output and load relationship curve diagram of the NPSI combined operation power station under each scenario in the embodiment of the application;
[0020] Figure 3 It is a transverse comparison schematic diagram of power supply reliability quantification index of the NPSI combined operation power station participating in power system dispatching in the embodiment of the application;
[0021] Figure 4 It is a transverse comparison schematic diagram of new energy consumption quantification index of the NPSI combined operation power station participating in power system dispatching in the embodiment of the application;
[0022] Figure 5 It is a transverse comparison schematic diagram of system peak shaving support quantification index of the NPSI combined operation power station participating in power system dispatching in the embodiment of the application;
[0023] Figure 6 It is a multi-factor cycle aging test flow chart schematic diagram of a nuclear storage integrated NPSI combined robust operation and value quantification method of the embodiment of the application.
[0024] REFERENCE NUMERALS:
[0025] 1. A nuclear storage integrated NPSI combined robust operation and value quantification terminal; 2. A memory; 3. A processor. DETAILED DESCRIPTION
[0026] In order to explain the technical content, the purpose and the effect of the present application in detail, the following will be described in conjunction with the embodiments and the accompanying drawings.
[0027] Please refer to Figures 1 to 5 A nuclear and pumped storage integrated NPSI joint robust operation and value quantification method, comprising the steps of:
[0028] S1, considering the operation characteristics of nuclear power and pumped storage, a nuclear and pumped storage integrated NPSI joint operation model is established by setting multiple peak shaving depths and considering the flexible complementarity of daily operation characteristics;
[0029] S2, considering the random uncertainty and load overload of new energy, and considering the system peak shaving cost, the nuclear and pumped storage integrated NPSI joint operation model is optimized to obtain an NPSI joint robust optimization operation model;
[0030] S3, based on the NPSI joint robust optimization operation model, a system value quantification index of NPSI operation under multiple scenarios is constructed, including comprehensive quantification of safety index, reliability index and economic index of NPSI participating in power system operation under different seasonal typical days and extreme scenarios.
[0031] From the above description, the beneficial effects of the present application are that a nuclear and pumped storage integrated NPSI joint robust operation and value quantification method is provided, first, considering the operation characteristics of nuclear power and pumped storage, a nuclear and pumped storage integrated NPSI joint operation model is established by setting multiple peak shaving depths and considering the flexible complementarity of daily operation characteristics; then considering the random uncertainty and load overload of new energy, and considering the system peak shaving cost, the nuclear and pumped storage integrated NPSI joint operation model is optimized to obtain an NPSI joint robust optimization operation model that can flexibly respond to system regulation requirements; finally, based on the NPSI joint robust optimization operation model, a system value quantification index of NPSI operation under multiple scenarios is constructed, including comprehensive quantification of safety index, reliability index and economic index of NPSI participating in power system operation under different seasonal typical days and extreme scenarios, effectively realizing joint operation of nuclear power and pumped storage, better meeting the needs of the power system, solving the problem of insufficient flexibility of nuclear power, and promoting the consumption of renewable energy in different scenarios.
[0032] Further, the step S1 is specifically:
[0033] S11, a nuclear power operation model considering multiple peak shaving depths is established, and the range of 50% to 100% of the rated power is defined as the safety peak shaving depth range of nuclear power, within which the peak shaving related constraints of nuclear power are set, including setting multiple peak shaving depths within the rated power range and allowing nuclear power units to realize transition between low power and full power at three speed within different peak shaving depths, as shown in the following formulas (1) to (4):
[0034]
[0035] where s nu is the peak shaving depth of the nuclear power unit; n is the peak shaving depth marker, representing the operation in the nth gear of the peak shaving depth; and are the maximum and minimum output of the nuclear power unit, respectively; and are the peak shaving power and the low-power stage power of the nuclear power unit in the nth gear of the peak shaving depth, respectively; j is the peak shaving speed marker, 1-3 representing different peak shaving speeds; is the power in the transition state between the high and low powers of the nuclear power unit; t represents the scheduling period; is the actual output of the nuclear power unit; q t , l n,t and d n,j,t are the full-power, low-power and transition operation markers at time t, respectively;
[0036] The power state constraints of the nuclear power unit are as follows in formula (5):
[0037]
[0038] The minimum rated / low-power operation time constraints are as follows in formula (6):
[0039]
[0040] where t N is a time sequence marker for distinguishing from t; and are the minimum duration of the full-power and low-power operation states, respectively; and are both operation markers, and the constraint on the markers is to ensure the minimum rated / low-power operation time of the nuclear power unit by cyclically constraining t N from t to or , where 1 represents a 1h operation period, and 24 is the total number of periods;
[0041] The operation marker coupling constraints are as follows in formula (7) and (8):
[0042]
[0043] where q t+1 and q t-1 are the full-power operation markers in the 1-period before / after t; l n,t+1 and l n,t-1 are the low-power operation markers in the 1-period before / after t;
[0044] S12, establish a pumped storage operation model with flexible switching of multiple operating conditions, and consider that the pumped storage operation mode is constrained by the operation cycle, the reservoir capacity constraints of the upper and lower reservoirs of the pumped storage, and the daily operation reservoir capacity constraints based on the daily operation scenario in the charging / discharging right, as shown in the following formulas (9) to (14):
[0045]
[0046] wherein, and respectively represent the lower limit value and the upper limit value of the upper reservoir capacity; represents the upper reservoir storage capacity at the t period; and respectively represent the state variables of power generation and pumping at the t period, taking values of 0 or 1; and respectively represent the power generation and pumping power at the t period; η t and η p respectively represent the power generation and pumping efficiency; and respectively represent the lower limit value and the upper limit value of the power generation power; is the constant pumping power;
[0047] S13, establish a nuclear-pumped integrated NPSI joint operation model, and obtain the objective function and operation constraints of the nuclear-pumped integrated NPSI joint operation model as shown in the following formula (15):
[0048]
[0049] wherein, F int is the total operation cost of the NPSI joint operation power station, F nu is the operation cost of the nuclear power unit in the NPSI joint operation power station, and F ps is the operation cost of the pumped storage unit in the NPSI joint operation power station; and respectively represent the total output, the output of the nuclear power unit, and the output of the pumped storage unit of the NPSI joint operation power station, wherein for is positive when operating in the power generation condition, and is negative when operating in the pumping condition.
[0050] From the above description, to ensure the safety of the nuclear power unit participating in the peak shaving operation, the range of 50% to 100% of the rated power is defined as the safety peak shaving depth range of the nuclear power, and the related constraints of the nuclear power peak shaving are set in this range to meet the peak shaving flexibility requirement; at the same time, by setting multiple peak shaving depths in the rated power range, the safety of the nuclear power unit participating in the peak shaving operation can be ensured; at the same time, the nuclear power unit is allowed to realize the transition between low power and full power at three gear speeds among different peak shaving depths, so as to improve the peak shaving capacity of the nuclear power and meet the peak shaving flexibility requirement of the system under different scenes; the nuclear storage integrated NPSI joint operation model can ensure the safety of the nuclear power unit participating in the peak shaving operation, set multiple peak shaving depths in the rated power range, and at the same time, allow the nuclear power unit to realize the transition between low power and full power at three gear speeds among different peak shaving depths, so as to improve the peak shaving capacity of the nuclear power and meet the peak shaving flexibility requirement of the system under different scenes.
[0051] Further, the step S2 is specifically:
[0052] S21, considering the uncertainty of new energy output, a NPSI joint robust optimization operation model containing nuclear power and pumped storage is constructed, and the objective function is shown as formula (16):
[0053]
[0054] Wherein, C all is the total target cost; C gen is the operation cost of the conventional thermal power unit; C int is the operation cost of the NPSI joint operation power station; C wind is the operation cost of the wind power station; C pv is the operation cost of the photovoltaic power station; C D is the load shedding penalty cost; i is the node where the different units are located; d is the node where the load is located; t is the scheduling period; the remaining parameters are decision variables: is the output of the unit in the NPSI joint operation power station; is the output of the conventional thermal power unit; I i,t is the running state symbol of the thermal power unit; is the wind power output level under the uncertain scene; is the photovoltaic output level under the uncertain scene; is the abandoned power of the wind power; is the abandoned power of the photovoltaic; ΔD d,t is the load shedding power of the load;
[0055] S22, establish typical day operation constraints, including operation constraints under basic scenes and operation constraints under uncertain scenes;
[0056] The constraints of operation under the base scenario include node power balance constraints, line power flow constraints, wind farm output constraints, photovoltaic power station output constraints, conventional unit operation constraints, output constraints, reserve constraints, minimum start-up / shut-down time constraints, ramping constraints, and operation and reserve constraints of NPSIs.
[0057] The constraints of operation under the uncertain scenario include node power balance constraints, line power flow constraints, rescheduling constraints of conventional units, flexible scheduling constraints of NPSIs, uncertain output constraints of wind and photovoltaic power, and uncertain output constraints of photovoltaic power.
[0058] S23, the objective function is solved by using a C&CG algorithm for generating columns and constraints, and the implementation process of the C&CG algorithm is as follows:
[0059] Based on the fact that the objective function is a min-max-min problem, the C&CG algorithm is used to solve the objective function to obtain the following formula (17):
[0060]
[0061] The constraints under the base scenario are constraint conditions under the base scenario, the target of the pre-scheduling stage is to minimize the expected total cost, and the constraints include start-up and shut-down constraints of conventional units, output constraints, and C&CG constraints returned in the sub-problem, so the above formula (17) can be modified into the following formula (18):
[0062]
[0063] Wherein, U wind and U pv are the budget uncertainty set constraints of wind power and photovoltaic power respectively; U is the budget uncertainty set; and are 0-1 variables in the budget uncertainty set of wind power and photovoltaic power respectively;
[0064] The inner min problem in formula (18) is transformed into a max problem by dual transformation in the rescheduling stage, and the solution is as follows:
[0065] max u∈U,α,β,χ [α(A-Bσ-Cχ)+Dβ](19);
[0066] Wherein, α, β and χ are dual variables of constraints, and A, B, C and D are matrices corresponding to the constraints;
[0067] After dual transformation, the objective function of the rescheduling stage is rewritten into the form of formula (19), and then new variables are introduced to generate C&CG cut set constraints as follows:
[0068]
[0069] all C&CG cutplane obtainedsofar represents the cut plane constraints generated in the solving process by dual transformation of sub-problems when using C&CG algorithm; k represents the iteration number.
[0070] From the above description, in order to quantitatively analyze the role of nuclear power and pumped storage cooperation in the new power system, and taking into account the nuclear power and pumped storage cooperation mode, the NPSI joint robust optimization operation model of the power system containing nuclear power and pumped storage is constructed.
[0071] Further, the step S3 is specifically:
[0072] S31, construct a power supply reliability quantitative index of NPSI joint operation power station participating in system operation, take the system load shedding penalty cost as the evaluation standard for enhancing the power supply reliability of the system, and formula (21) is the quantitative index of the value of enhancing the power supply reliability of NPSI unit MW installed capacity:
[0073]
[0074] Wherein, U is the load shedding penalty cost reduction of unit MW installed nuclear power and pumped storage for the system, the unit is $; N is the number of operation scenarios; P nu and P ps are the installed capacity of nuclear power and pumped storage in the system, respectively, the unit is MW, and the installed capacity of pumped storage in the single nuclear power operation mode is 0;
[0075] S32, construct a new energy consumption quantitative index of NPSI joint operation power station participating in power system dispatch, take the system new energy penalty cost as the evaluation standard for promoting new energy consumption, and formula (22) is the quantitative index of the value of promoting new energy consumption of NPSI unit MW installed capacity:
[0076]
[0077] Wherein, C is the unit MW installed nuclear power and pumped storage effect on new energy consumption power, the unit is MW;
[0078] S33, construct a system peak shaving support quantitative index of NPSI joint operation power station participating in power system dispatch, take the NPSI peak shaving cost and the matching degree of integrated unit and load as the evaluation standard for relieving the system peak shaving pressure, and formula (23) is the quantitative index of the value of relieving the system peak shaving pressure of NPSI unit MW installed capacity:
[0079]
[0080] wherein K is the unit MW installed nuclear power and pumped storage peak shaving cost reduction, the unit is $; F and F peak respectively, the system in the nuclear storage part does not participate in the system peak shaving cost and the system peak shaving cost under participation.
[0081] From the above description, to meet the influence generated when considering high proportion of new energy grid connection in the new power system, the quantitative index of the NPSI joint robust optimization operation model is proposed on the basis of constructing the NPSI operation mode, and the influence of the NPSI joint robust optimization operation model on power system dispatch is analyzed from different aspects under the premise of considering new energy uncertainty.
[0082] Further, the step S3 further comprises:
[0083] S4, using IEEE standard cases for simulation and simulation under different seasonal typical days and three kinds of extreme scenes, the system value of the NPSI operation under multiple scenes constructed by the NPSI joint robust optimization operation model is analyzed.
[0084] From the above description, by using IEEE standard cases for simulation and simulation under different seasonal typical days and three kinds of extreme scenes, the analysis of the power system value quantitative index of NPSI operation is effectively realized.
[0085] The NPSI joint robust operation and value quantification method provided by the application is mainly applied to the scene considering new energy output uncertainty, and specific embodiments will be described below:
[0086] Please refer to Figure 1 , the embodiment one of the application is:
[0087] Nuclear-Pumped Storage Integration (NPSI) refers to the mode of joint operation of nuclear power plants and pumped storage power stations. This mode utilizes the stable output characteristics of nuclear power and the scheduling flexibility of pumped storage power stations to jointly form the boundary conditions of the power system. In this mode, nuclear power plants are mainly responsible for providing base load power, while pumped storage power stations provide peak shaving services according to the load changes of the power system, i.e., using pumped storage power stations to balance the load of the power system during peak and valley periods of power demand, thereby improving the economy and safety of the power system. In the NPSI mode, nuclear power and pumped storage are jointly operated, coupled in terms of dispatching information and power flow, and present macro characteristics of centralized dispatching units to the outside. Inside the integrated model, the dispatching information is decoupled to determine the specific dispatching of internal nuclear power and pumped storage, and the power is integrated for centralized output.
[0088] The embodiment provides a nuclear and pumped storage integrated NPSI combined robust operation and value quantification method, as shown in the following formula: Figure 1 The embodiment provides a nuclear and pumped storage integrated NPSI combined robust operation and value quantification method, as shown in the following formula:
[0089] S1, considering the operation characteristics of nuclear power and pumped storage, a nuclear and pumped storage integrated NPSI combined operation model that can flexibly respond to the demand of a power system is established by setting multiple peak shaving depths and considering flexible complementation of daily operation characteristics.
[0090] S2, considering the random uncertainty and load overload of new energy and the system peak shaving cost, the nuclear and pumped storage integrated NPSI combined operation model is optimized to obtain an NPSI combined robust optimization operation model, and the NPSI combined robust optimization operation model participates in an auxiliary service market of the power system.
[0091] S3, system value quantification indexes of NPSI operation in multiple scenarios are constructed based on the NPSI combined robust optimization operation model, including comprehensive quantification of safety indexes, reliability indexes and economic indexes of NPSI operation in the power system in different seasonal typical days and extreme scenarios.
[0092] That is, in the embodiment, first, considering the operation characteristics of nuclear power and pumped storage, a nuclear and pumped storage integrated NPSI combined operation model is established by setting multiple peak shaving depths and considering flexible complementation of daily operation characteristics; then, considering the random uncertainty and load overload of new energy and the system peak shaving cost, the nuclear and pumped storage integrated NPSI combined operation model is optimized to obtain an NPSI combined robust optimization operation model that can flexibly respond to the system regulation demand; finally, system value quantification indexes of NPSI operation in multiple scenarios are constructed based on the NPSI combined robust optimization operation model, including comprehensive quantification of safety indexes, reliability indexes and economic indexes of NPSI operation in the power system in different seasonal typical days and extreme scenarios, so that nuclear power and pumped storage are jointly operated, the needs of the power system are better met, the problem of insufficient flexibility of nuclear power is solved, and the consumption of renewable energy in different scenarios is promoted.
[0093] In addition, in the embodiment, after step S3, the following step is further included:
[0094] S4, system value quantification indexes of NPSI operation in multiple scenarios constructed based on the NPSI combined robust optimization operation model are analyzed by using IEEE standard cases for simulation and simulation in different seasonal typical days and three extreme scenarios.
[0095] That is, by using IEEE standard cases for simulation and simulation in different seasonal typical days and three extreme scenarios, analysis of the power system value quantification indexes of NPSI operation is effectively realized.
[0096] Please refer to Figures 2 to 5Embodiment two of the present application is:
[0097] A nuclear and storage integrated NPSI combined robust operation and value quantification method, based on the above embodiment one, in the present embodiment, step S1 is specifically:
[0098] S11, a nuclear power operation model considering multiple peak shaving depths is established, in order to ensure the safety of nuclear power units participating in peak shaving operation, the range of 50% to 100% of rated power is defined as the safety peak shaving depth range of nuclear power, the peak shaving related constraints in this range are set to meet the peak shaving flexibility requirement, which can ensure the safety of nuclear power units participating in peak shaving operation, including setting multiple peak shaving depths in the rated power range and allowing nuclear power units to realize the transition between low power and full power at three speed gears in different peak shaving depths, improving the peak shaving capacity of nuclear power to meet the peak shaving flexibility requirement of different scenarios, wherein the output constraints of nuclear power units are as follows formula (1) to (4):
[0099]
[0100] Wherein, s nu is the peak shaving depth of the nuclear power unit; n is the peak shaving depth symbol, representing the operation at the nth peak shaving depth; And are the maximum output and minimum output of the nuclear power unit respectively; And are the peak shaving power and low power stage power of the nth peak shaving depth of the nuclear power unit respectively; j is the peak shaving speed symbol, 1-3 representing different peak shaving speeds; Is the power of the transition state between high and low power of the nuclear power unit; t represents the scheduling period; Is the actual output of the nuclear power unit; q t , l n,t And d n,j,t are the full power, low power and transition operation symbols at time t respectively.
[0101] Then the power state constraint of the nuclear power unit is as follows formula (5):
[0102]
[0103] The minimum rated / low power operation time constraint is as follows formula (6):
[0104]
[0105] Wherein, t N is a time sequence symbol for distinguishing from t; T h N And T l NMinimum duration of full power and low power operation state respectively; and Both are operation markers, and the constraint on the marker is to ensure the minimum rated / low power operation time of the nuclear power by the t N from t to or The cycle constraint is used to ensure the minimum rated / low power operation time of the nuclear power, where 1 represents 1h operation period, and 24 is the total number of periods.
[0106] Then the operation marker coupling constraint is as follows formula (7) and (8):
[0107]
[0108] Where q t+1 and q t-1 represent the full power operation marker of 1 period before / after t period respectively; l n,t+1 and l n,t-1 represent the low power operation marker of 1 period before / after t period respectively.
[0109] S12, establish a pumped storage operation model with flexible switching of multiple operation conditions, and consider the operation cycle constraint of pumped storage operation mode, the reservoir capacity constraint of upper and lower reservoirs of pumped storage, and the daily operation reservoir capacity constraint based on daily operation scenario in the charging / discharging right, as follows formula (9) to (14), where the upper reservoir capacity is limited, and the lower reservoir capacity is relatively large, so the upper reservoir capacity constraint is strict.
[0110] Where the pumped storage output constraint is:
[0111]
[0112] Where the reservoir capacity and power balance constraint is:
[0113]
[0114] Where the upper reservoir capacity upper and lower limit constraint is:
[0115]
[0116] Where the daily operation reservoir capacity balance constraint is:
[0117]
[0118] Where the unit start / stop variable constraint is:
[0119]
[0120] Where the upper and lower limit constraint of power generation is:
[0121]
[0122] where the pumping power constraint is:
[0123]
[0124] where, and denote the lower and upper reservoir capacity values, respectively; denotes the reservoir storage at time t; ΔU max denotes the daily maximum variation of the upper reservoir capacity; and denote the state variables of power generation and pumping at time t, taking values 0 or 1; and denote the power generation and pumping at time t; η t and η p denote the power generation and pumping efficiencies; and denote the lower and upper power generation values, respectively; denotes the constant pumping power.
[0125] S13, a nuclear storage integrated NPSI joint operation model is established. The operation modes of NPSI mainly include three-section tracking mode, incomplete tracking mode, complete tracking mode, etc. These modes make a trade-off between nuclear power flexible peak shaving and matching load, and all have a certain degree of conservatism. Therefore, on this basis, a peak shaving tracking mode is proposed. In this mode, the output curve of NPSI unit completely matches the load curve of the power system. However, the nuclear power unit has a certain peak shaving capacity. On this basis, the pumped storage power station enters the corresponding charging and discharging working condition according to the load change of the power system. The specific output situation needs the information unit in the NPSI power station to interact and coordinate after obtaining the dispatching information to obtain the dispatching strategy of the corresponding period. The objective function and operation constraints of the nuclear storage integrated NPSI joint operation model are as follows formula (15):
[0126]
[0127] where, F int is the total operation cost of the NPSI joint operation power station, F nu is the operation cost of the nuclear power unit in the NPSI joint operation power station, and F ps is the operation cost of the pumped storage unit in the NPSI joint operation power station; and are the total output of the NPSI joint operation power station, the output of the nuclear power unit and the output of the pumped storage unit, respectively, wherein for is positive when operating in power generation mode, and negative when operating in pumping mode.
[0128] In the NPSI joint operation model, the peak shaving cost of the NPSI power station in power system dispatching is considered, which is quantified as the peak shaving cost of the nuclear power unit and the pumped storage unit by decoupling.
[0129] The peak shaving cost of the nuclear power unit is included in the operation cost, which can be expressed as:
[0130]
[0131] where i is the node where the nuclear power unit is located, is the operation cost of the nuclear power unit at the i node in the t period, is the output of the nuclear power unit in the basic scenario, at this time is a linear function, where a i and b i are the power generation cost coefficients of the nuclear power unit i; is the peak shaving cost of the nuclear power unit at the i node in the t period; C N is the peak shaving cost coefficient of the nuclear power unit, which is composed of the fuel cost C F and the safety cost C S caused by peak shaving, which can be expressed as:
[0132] C N =C F +σ N C S (15-3);
[0133] where C F is the peak shaving fuel cost of the nuclear power unit; C S is the peak shaving safety cost of the nuclear power unit; and σ N is the nuclear safety value coefficient.
[0134] The pumped storage unit participates in power system dispatching by mutual conversion between the generating and pumping working states, and its operation cost mainly includes the unit start-up cost, and the shutdown cost can be ignored, so it can be expressed as:
[0135]
[0136] where, is a 0-1 state variable, which takes 1 when the unit i switches from shutdown to generating state in the t period, and takes 0 when the opposite is true; is the cost of starting the generator of the pumped storage unit i once; is a 0-1 state variable, which takes 1 when the unit i switches from shutdown to pumping state in the t period, and takes 0 when the opposite is true; is the cost of starting the motor of the pumped storage unit i once.
[0137] wherein in the present embodiment, step S2 is specifically:
[0138] S21, considering the uncertainty of new energy output, a NPSI joint robust optimization operation model containing nuclear power and pumped storage is constructed, in order to quantitatively analyze the role of nuclear power and pumped storage coordinated operation in the power system under the new power system, and to take into account the nuclear power and pumped storage coordinated operation mode, a joint robust optimization operation model of the power system containing nuclear power and pumped storage is constructed, and an evaluation strategy of NPSI joint robust optimization operation of power system is proposed. The objective function of the joint robust optimization operation model is to minimize the total cost, including the operation cost of NPSI power station in the power system, the operation cost of conventional unit, the penalty cost of abandoned wind and light, etc., and the objective function is shown as formula (16):
[0139]
[0140] wherein, C all is the total target cost; C gen is the operation cost of conventional thermal power unit; C int is the operation cost of NPSI joint operation power station; C wind is the operation cost of wind power station; C pv is the operation cost of photovoltaic power station; C D is the penalty cost of load shedding; i is the node where the different units are located; d is the node where the load is located; t is the dispatching period; the rest of the parameters are decision variables: is the output of the unit in the NPSI joint operation power station; is the output of the conventional thermal power unit; I i,t is the running state symbol of the thermal power unit; is the wind power output level under uncertain scenarios; is the photovoltaic output level under uncertain scenarios; is the abandoned power of wind power; is the abandoned power of photovoltaic; ΔD d,t is the load shedding power.
[0141] (1) Thermal power unit operation cost
[0142] The operation cost of thermal power unit includes coal-fired power generation cost and unit start-stop cost, which can be uniformly represented as:
[0143]
[0144] wherein, i is the node where the thermal power unit is located; t is the period of daily operation of the thermal power unit; is the start-stop cost of the thermal power unit at i node in t period; is the operation cost of the thermal power unit at i node in t period; su iand sd i respectively, are the unit start-up and shut-down costs of the unit; ru i,t and rd i,t represent the start-up and shut-down state of the unit at time t; P i,t is the thermal power output of the unit under the basic scenario; is a quadratic function, and a i , b i and c i are the fuel cost coefficients of the thermal power unit.
[0145] (2) NPSI operation cost:
[0146]
[0147] (3) Wind and light curtailment penalty cost:
[0148]
[0149] wherein k w is the wind curtailment penalty coefficient; ΔP t w is the wind curtailment power of the wind farm at time t; k pv is the light curtailment penalty coefficient; ΔP t pv is the light curtailment power of the photovoltaic power plant at time t.
[0150] (4) Load shedding penalty cost:
[0151]
[0152] wherein k D is the load shedding penalty coefficient; ΔD t is the load shedding power at time t.
[0153] S22, establish typical day operation constraints, including operation constraints under the basic scenario and operation constraints under the uncertain scenario.
[0154] The establishment of operation constraints under the basic scenario includes node power balance constraints, line power flow constraints, wind power plant output constraints, photovoltaic power station output constraints, conventional unit operation constraints, output constraints, reserve constraints, minimum start-up / shut-down time constraints, ramping constraints, and NPSI operation and reserve constraints. The establishment of operation constraints under the uncertain scenario includes node power balance constraints, line power flow constraints, conventional unit rescheduling constraints, NPSI flexible scheduling constraints, wind and light uncertain output constraints, and photovoltaic uncertain output constraints.
[0155] (1) Node power balance constraint:
[0156]
[0157] where i is the node where different units are located, d is the node where different loads are located, l is the different transmission line, and t is the dispatch period; is the output of the conventional thermal power unit; is the output of the photovoltaic power station; is the output of the wind farm; is the output of the NPSI unit; PL l,t is the transmission power of the transmission line in the power system; is the wind power output level under the uncertain scenario; is the photovoltaic output level under the uncertain scenario; is the curtailment power of the wind power; is the curtailment power of the photovoltaic power; D d,t is the power prediction value of the user load; ΔD d,t is the outage power of the load; N g , N pv , N w , N int , N l and N d are the node and line sets corresponding to different units, transmission lines and loads, respectively.
[0158] (2) Line flow constraint:
[0159] P l,t = (θ m,t - θ n,t ) / x l , θ ref = 0 (31);
[0160]
[0161] where θ m,t and θ n,t are the phase angles of the first end node and the end node of the transmission line l at time t, θ ref is the reference node phase angle value, x l is the reactance value of the transmission line l, P l max is the maximum power allowed to flow through the transmission line l.
[0162] (3) Wind farm output constraint:
[0163]
[0164] where P is the output power prediction value of the wind power unit at time t.
[0165] (4) Photovoltaic power station output constraint:
[0166]
[0167] wherein, is the output power prediction value of the wind turbine at time t.
[0168] (5) Thermal unit constraints, output constraints and reserve constraints, minimum start-up / shut-down time constraints and ramping constraints:
[0169] P i,t =∑ k P i,k,t (35);
[0170]
[0171] P i max and P i min are the upper and lower limits of the output power of unit i, I i,t denotes the operating state of the unit (1 for on and 0 for off), and are the maximum values of the upper and lower adjustable reserve of unit i.
[0172] Unit start-up and shut-down cost constraints:
[0173]
[0174] Ramping constraints:
[0175]
[0176] In equations (39)-(40), UR i and DR i are the upper and lower ramping limits.
[0177] (6) NPSI power station operation constraints, including constraints for nuclear power and pumped storage:
[0178]
[0179] Establishing operation constraints under uncertain scenarios, to cope with the uncertainty of wind and solar output, conventional units and NPSI use reserves to smooth the random fluctuations of wind and solar. The output of wind power and photovoltaic power under uncertain scenarios is modeled as a set of uncertainties, as shown in equations (16-1) to (16-4):
[0180]
[0181] wherein, α represents the wind power prediction error coefficient, and β represents the photovoltaic prediction error coefficient. and are the time and space uncertainty budgets of the wind power uncertainty set, and are the time and space uncertainty budgets of the photovoltaic uncertainty set.
[0182] S23, in view of the feature that the original min-max-min problem cannot be directly solved, a C&CG algorithm is used to solve the objective function, and the implementation process of the C&CG algorithm is as follows:
[0183] Based on the fact that the objective function is a min-max-min problem, the C&CG algorithm is used to solve it to obtain the following formula (17):
[0184]
[0185] The objective of the pre-scheduling stage is to minimize the expected total cost, wherein the constraints under the base scenario are the constraint conditions under the base scenario, and the objective of the pre-scheduling stage is to minimize the expected total cost constraint, including the start-stop constraint of the conventional unit, the output constraint, and the C&CG constraint returned in the sub-problem, etc., and then the above formula (17) can be modified into the following formula (18):
[0186]
[0187] Wherein, U wind and U pv are the budget uncertainty set constraints of the wind power and the photovoltaic, respectively; U is the budget uncertainty set; and are 0-1 variables in the budget uncertainty set of the wind power and the photovoltaic, respectively.
[0188] The second stage is the rescheduling stage considering the uncertain output scenario of new energy, which is a running problem under the scheduling decision given by the pre-scheduling. Since the inner part of formula (18) is a max-min problem, it cannot be directly solved, therefore, the inner min problem in formula (18) needs to be transformed by duality to convert it into a max problem for solving, as shown in the following formula (19):
[0189] max u∈U,α,β,χ [α(A-Bσ-Cχ)+Dβ](19);
[0190] Wherein, α, β and χ are the dual variables of the constraints, and A, B, C and D are the matrices corresponding to the corresponding constraints.
[0191] After the dual transformation, the objective function of the rescheduling stage is rewritten in the form of formula (19). In order to further improve the solution accuracy, new variables are introduced, and C&CG cut set constraints are generated based on these variables, which are then added to the main problem for iterative solution to achieve more accurate decision and optimization, that is, formula (20) as follows:
[0192]
[0193] Wherein, all C&CG cutplane obtainedsofar represents the cut plane constraint generated in the solving process by dual transformation of the sub-problem when using the C&CG algorithm; k represents the iteration number. The bilinear term involved is cleverly linearized by the big M method. This step effectively converts the sub-problem into a solvable form, enabling the sub-problem containing different unit operation 0-1 variables to be solved smoothly. Finally, by solving this sub-problem, the worst scenario of new energy output in the uncertain scenario is determined. In the second stage, there are uncertain scenarios, so the C&CG algorithm is used to add optimal cut planes to the original problem, and the optimal solution under the worst scenario is finally obtained through the continuously added optimal cut planes.
[0194] In this embodiment, step S3 is specifically:
[0195] S31, construct the power supply reliability quantitative index of NPSI joint operation power station participating in system operation, take the system load shedding penalty cost as the evaluation standard for enhancing system power supply reliability, and formula (21) is the quantitative index of NPSI unit MW installed capacity enhancing system power supply reliability value:
[0196]
[0197] Wherein, U is the unit MW installed capacity of nuclear power and pumped storage, and the load shedding penalty cost reduction is $; N is the number of operation scenarios; P nu and P ps are the installed capacity of nuclear power and pumped storage in the system, respectively, and the installed capacity of pumped storage is 0 in the single nuclear power operation mode.
[0198] S32, construct the new energy consumption quantitative index of NPSI joint operation power station participating in power system dispatch, take the system new energy abandonment penalty cost as the evaluation standard for promoting new energy consumption, and formula (22) is the quantitative index of NPSI unit MW installed capacity promoting new energy consumption value:
[0199]
[0200] Wherein, C is the unit MW installed capacity of nuclear power and pumped storage acting on new energy consumption power, and the unit is MW.
[0201] S33, construct NPSI joint operation power station participating in power system dispatch system peak shaving support quantitative index, taking NPSI peak shaving cost and the matching degree of integrated unit and load as the evaluation standard of relieving system peak shaving pressure, formula (23) is the quantitative index of NPSI unit MW installed capacity relieving system peak shaving pressure value:
[0202]
[0203] Wherein, K is the unit MW installed capacity nuclear power and pumped storage peak shaving cost reduction, unit is $; F and F peak The system peak shaving cost of nuclear storage part not participating in system peak shaving and participating in system peak shaving respectively.
[0204] That is, in order to meet the influence of new power system considering high proportion of new energy grid connection, on the basis of constructing NPSI operation mode, the quantitative index of NPSI joint robust optimization operation model is put forward, which aims to analyze the influence of NPSI joint robust optimization operation model on power system dispatch under the premise of considering new energy uncertainty from different aspects.
[0205] The method proposed in this embodiment uses IEEE-24 standard node system to test the NPSI joint robust optimization operation model established, including four types of power supply layout of thermal power, wind power, photovoltaic and two types of energy device layout of nuclear power and pumped storage, and the specific installed capacity of each type of power supply and pumped storage is shown in table 1. Combined with meteorological data, wind and light output prediction data and load demand prediction data, the power system cooperative optimization simulation operation is carried out.
[0206] Table 1 system power installed capacity data
[0207] Power source type Installed capacity / MW Thermal power 2063 Wind power 983 Photovoltaic 932 Nuclear power 1000 Pumped storage 400
[0208] New energy output is strongly uncertain due to the influence of meteorological factors. Extreme weather has become a "new normal", and climate change and its meteorological problems are deeply involved in the shaping process of new energy supply system, which will directly affect the safety and stability of new power system. Therefore, on the basis of considering the conventional typical scene, the dispatch example under the extreme scene should be constructed.
[0209] From the perspective of energy consumption, the frequent occurrence of continuous high temperatures and cold waves in recent years will stimulate a continuous increase in cooling and heating loads. From the perspective of energy production, extreme weather will affect the normal operation of various power generation facilities and reduce the power supply capacity. From a conventional perspective, there are significant differences in user electricity consumption characteristics and renewable energy power supply characteristics on typical days in different seasons. Therefore, this embodiment combines the k-mediods clustering method and statistical analysis method, and comprehensively considers the characteristics of electricity load and renewable energy output to construct a new power system NPSI application scenario, as shown in Table 2.
[0210] Table 2 NPSI Application Scenarios
[0211]
[0212]
[0213] Numerical simulations were conducted on seven application scenarios using the NPSI joint robust optimization operation model constructed in this paper, with independent optimization scheduling strategies for single-nuclear power plants and pumped-storage nuclear power plants used for comparative analysis. The penalty coefficients for wind and solar curtailment and load shedding were determined based on literature. The simulation optimization scheduling results for each application scenario are as follows: Figure 3 As shown.
[0214] like Figure 2 As shown, a typical autumn day is used to represent the operation under normal weather conditions throughout the four seasons. On a typical autumn day, wind power output fluctuates significantly, while photovoltaic (PV) output remains relatively stable. Nuclear power output is stable. Pumped hydro storage balances wind power fluctuations by storing energy during off-peak hours and releasing it during peak hours, maintaining stable power system operation. During periods of high temperatures, PV and wind power output fluctuate significantly throughout the day, and load also fluctuates due to cooling needs. Nuclear power output remains stable. Pumped hydro storage needs to store energy when wind and solar resources are abundant and release it during peak load periods to cope with load fluctuations caused by high temperatures. During typhoons, wind and solar power output decreases significantly, and load also decreases due to shutdowns. Nuclear power output remains stable. Pumped hydro storage needs to release energy when wind and solar resources are insufficient to maintain stable power system operation.
[0215] As shown in Table 3, in all seven NPSI application scenarios, the overall economic benefits of the power system are better when nuclear power and pumped storage are supported in synergy. Combining the details of the power output optimization scheduling of the NPSI system in the seven application scenarios, it can be seen that, based on nuclear power as the core, peak-shaving demand can be met within a certain range. When the power system experiences a small power supply deficit / surplus, pumped storage responds quickly, satisfying the power system's supply and demand balance and reducing renewable energy curtailment through discharge or energy storage.
[0216] Table 3 Comparison of System Scheduling Costs in Different Scenarios
[0217]
[0218]
[0219] Based on the system dispatch optimization results under different scenarios of nuclear power, nuclear storage independence, and NPSI development strategies, the analysis of the different dimensions of the power system operation support under the coordinated operation of nuclear power and pumped storage and the independent operation of single nuclear power and nuclear storage is conducted.
[0220] (1) Enhance power supply reliability: Compare the system load shedding penalty cost and the load shedding penalty cost reduction degree per MW of installed capacity of the power system under different installed capacities in 7 different application scenarios. As shown in Figure 3 , adjusting the system installed capacity strategy in each scenario, the load shedding penalty cost of the optimized dispatch of the power system is NPSI < nuclear storage independence < single nuclear power. And in the NPSI mode, the NPSI unit bears an average of 2.998$ per MW of system load shedding penalty cost, in the nuclear storage independent operation, the nuclear power and pumped storage unit bears 11.322$ per MW of system load shedding penalty cost, and in the single nuclear power operation, the nuclear power unit bears 53.207$ per MW of system load shedding penalty cost. Comprehensive comparison, the system layout NPSI has better power supply reliability support ability than the single nuclear power, and is better than the two sum support effect of nuclear storage independent operation. It reflects the excellent power supply reliability support ability of pumped storage.
[0221] (2) Promote new energy consumption: Compare the system new energy curtailment penalty cost and the new energy curtailment reduction degree per MW of installed capacity of the power system under different installed capacity strategies in 7 scenarios. As shown in Figure 4 , when using NPSI mode and nuclear storage independent operation, the system realizes full consumption of wind and light resources in 7 types of NPSI application scenarios; when the system is arranged with single nuclear power, there is an unequal amount of curtailment of wind and light resources in 7 scenarios. In the NPSI mode, the NPSI unit bears an average of 0.409$ per MW of system new energy curtailment cost, in the nuclear storage independent operation, the nuclear power and pumped storage unit bears 1.714$ per MW of system new energy curtailment cost, and in the single nuclear power operation, the nuclear power unit bears 2.945$ per MW of system new energy curtailment cost. Comprehensive comparison, the optimized dispatch of the power system in this province is mainly supported by pumped storage in promoting clean energy consumption, which has better ability to promote new energy consumption. And in the NPSI mode, the reduction of system new energy curtailment is lower than that in the nuclear storage independent operation, which is due to the full consumption of the system in the two types of optimized dispatch strategies.
[0222] (3) Alleviating peak-shaving pressure on the power system: Compare the dispatch costs of the nuclear power storage component in the power system and the reduction in peak-shaving costs per MW of installed capacity under seven scenarios. For example Figure 5 As shown, adjusting the layout strategies of nuclear power and pumped storage in seven scenarios, the peak-shaving costs for optimized system scheduling and operation are: NPSI operation > independent nuclear-storage operation > single nuclear power. Under the NPSI model, the average reduction in system peak-shaving costs per MW of NPSI installed capacity is $1.486. Under independent nuclear-storage operation, the reduction is $0.871 per MW of nuclear power and pumped storage installed capacity. Under single nuclear power operation, the reduction is $0.851 per MW of nuclear power unit peak-shaving costs. In summary, the NPSI model has a better ability to alleviate system peak-shaving pressure than single nuclear power operation, and it outperforms the combined support effects of independent nuclear-storage operation. However, the installed capacity of single nuclear power is relatively small, resulting in a larger unit cost.
[0223] Please refer to Figure 6 Embodiment 3 of the present invention is as follows:
[0224] An AI-based product idea automatic generation terminal 1 includes a memory 2, a processor 3, and a computer program stored on the memory 2 and executable on the processor 3. When the processor 3 executes the computer program, it completes the steps in the AI-based product idea automatic generation method described in Embodiment 1 or Embodiment 2.
[0225] In summary, the present invention provides a robust operation and value quantification method and terminal for integrated nuclear power and pumped storage (NPSI), which effectively combines nuclear power and pumped storage to better meet the needs of the power system. While using nuclear power to make up for the power shortage, it also leverages the excellent ancillary service characteristics of pumped storage, ensures the stability of regional power supply, solves the problem of insufficient flexibility of nuclear power, and promotes the consumption of renewable energy in different scenarios.
[0226] The above description is merely an embodiment of the present invention and does not limit the patent scope of the present invention. Any equivalent modifications made based on the content of the present invention specification and drawings, or direct or indirect applications in related technical fields, are similarly included within the patent protection scope of the present invention.
Claims
1. A robust operation and value quantification method for integrated nuclear power storage and energy storage (NPSI) systems, characterized in that... Including the following steps: S1. Taking into account the operating characteristics of nuclear power and pumped storage, a joint operation model of nuclear power and pumped storage is established by setting multiple peak-shaving depths and considering the flexible complementarity of daily operating characteristics. S2. Considering the random uncertainty and load overload of new energy sources, and taking into account the system peak-shaving cost, the nuclear-storage integrated NPSI joint operation model is optimized to obtain the NPSI joint robust optimization operation model. S3. Based on the NPSI joint robust optimization operation model, construct system value quantification indicators for NPSI operation under multiple scenarios, including comprehensive quantification of the safety, reliability, and economic indicators of NPSI participation in power system operation under typical days in different seasons and extreme scenarios. Step S2 specifically involves: S21. Considering the uncertainty of new energy output, a robust optimization operation model of NPSI including nuclear power and pumped storage is constructed. The objective function is shown in equation (16): (16); in, The total target cost; The operating cost of a conventional thermal power unit; Operating costs of NPSI-operated power plants; The operating cost of the wind farm; The operating cost of a photovoltaic power plant; To incur cost penalties for load shedding; i These are the nodes where different generator sets are located; d The node where the load is located; t The scheduling period is defined as the time slot; the remaining parameters are decision variables. For the power output of the units in the NPSI jointly operated power plants; This is the output of a conventional thermal power unit; This is a status indicator for thermal power units. For wind power output levels under uncertain scenarios; Photovoltaic power output levels under uncertain scenarios; Curtailed wind power; This refers to the unused power of photovoltaic power. The load shearing power; S22. Establish typical daily operating constraints, including operating constraints under basic scenarios and operating constraints under uncertain scenarios; The operational constraints established under the basic scenarios include node power balance constraints, line power flow constraints, wind farm output constraints, photovoltaic power plant output constraints, conventional unit operation constraints, output constraints, standby constraints, minimum start / stop time constraints, ramping constraints, and NPSI operation and standby constraints. Establish operational constraints under uncertain scenarios, including node power balance constraints, line power flow restriction constraints, rescheduling constraints of conventional units, NPSI flexible scheduling constraints, uncertain output constraints of wind and solar power, and uncertain output constraints of photovoltaic power. S23. Use columns and constraints to generate the C&CG algorithm to solve the objective function. The C&CG algorithm implementation process is as follows: Based on the fact that the objective function is a min-max-min problem, the C&CG algorithm is used to solve it, resulting in the following formula (17): (17); in, Constraints under the base scenario Given the constraints under the basic scenario, the goal of the pre-scheduling phase is to minimize the total cost, including the start-up and shutdown constraints of conventional units, output constraints, and the C&CG constraints returned from the subproblems. Therefore, the above formula (17) can be modified into the following formula (18): (18); in, and The budget uncertainty constraints are for wind power and solar power, respectively. U For a set of budget uncertainties; , , and These are 0-1 variables in the budget uncertainty set for wind power and photovoltaic power, respectively. During the rescheduling phase, the inner min problem in formula (18) is transformed into a max problem for solution, as shown in formula (19): (19); in α , β and χ Let A, B, C, and D be the dual variables of the constraints, and let A, B, C, and D be the matrices corresponding to the respective constraints. After dual transformation, the objective function of the rescheduling stage is rewritten in the form of formula (19), and then new variables are introduced to generate C&CG cut set constraints as shown in formula (20): (20); in, all C&CG cutplane obtained so far This refers to the cutting plane constraints generated during the solution process by performing dual transformations on subproblems when using the C&CG algorithm. k Indicates the number of iterations.
2. The method for robust operation and value quantification of integrated nuclear power storage and energy storage (NPSI) systems according to claim 1, characterized in that, Step S1 specifically involves: S11. Establish a nuclear power operation model that considers multiple peak shaving depths, and define the range of 50% to 100% of the rated power as the safe peak shaving depth range for nuclear power. Within this range, set the relevant constraints for nuclear power peak shaving, including setting multiple peak shaving depths within the rated power range and allowing nuclear power units to transition between low power and full power at three speeds between different peak shaving depths, as shown in the following formulas (1) to (4): (1); (2); (3); (4); in, The peak shaving depth of nuclear power units; n This is a peak-shaving depth identifier, representing the operating point. n Peak shaving depth; and These are the maximum and minimum output of the nuclear power unit, respectively. and The nuclear power units are respectively n Peak-shaving power and low-power stage power at peak-shaving depth; j These are peak-shaving speed indicators, with 1 to 3 representing different peak-shaving speeds; This refers to the power output during the transition between high and low power levels in a nuclear power unit. t Indicates the scheduling period; The actual output of the nuclear power unit; , and They are respectively t Full power, low power, and transition operation indicators at all times; The power state constraints of the nuclear power unit are as follows: (5) (5); The minimum rated / low power operating time constraint is given by the following formula (6): (6); in, In order to be with t Distinguishing time sequence numbers; and These are the minimum durations of operation at full power and low power, respectively. and Both are runtime identifiers, and the constraint on the identifiers is that... t Time period through Depend on t arrive or Cyclic constraints are used to ensure the minimum rated / low power operation time of nuclear power plants, where 1 represents a 1-hour operating segment and 24 is the total number of time segments. The running flag coupling constraints are as follows: (7) and (8): (7); (8); in, and They represent t Full-power operation indicator for the period before / after; and They represent t Low-power operation indicator for the period before / after; S12. Establish a pumped storage operation model with flexible switching of multiple operating conditions, and consider the constraints of the pumped storage operation mode on the operating cycle, the capacity constraints of the upper and lower reservoirs of the pumped storage, and the daily operating capacity constraints based on the daily operating scenario in the charging / discharging rights, as shown in the following formulas (9) to (14): (9); (10); (11); (12); (13); (14); in, and These represent the lower and upper limits of the upper storage capacity, respectively. express t Reservoir storage capacity over a given period of time; and They represent t The state variables for power generation and water pumping during the time period take values of 0 or 1; and They represent t Power generation and pumping capacity during specific time periods; and These represent power generation and pumping efficiency, respectively. and These represent the lower and upper limits of power generation, respectively. For a constant pumping power; S13. Establish the NPSI (Nuclear-Energy Integrated System) joint operation model, and obtain the objective function and operating constraints of the NPSI joint operation model as shown in the following formula (15): (15); in, The total operating cost of the power plant jointly operated by NPSI The operating costs of nuclear power units in NPSI jointly operated power plants, The operating cost of pumped storage units in NPSI jointly operated power plants; , and These represent the total power output of the NPSI jointly operated power plant, the power output of the nuclear power units, and the power output of the pumped storage units. Among these, for... When the value is positive, it operates in power generation mode; when the value is negative, it operates in pumping mode.
3. The method for robust operation and value quantification of integrated nuclear power storage and energy storage (NPSI) systems according to claim 1, characterized in that, Step S3 specifically involves: S31. Construct a quantitative index for the power supply reliability of NPSI joint operation power plants participating in system operation, and use the system load shedding penalty cost as the evaluation standard for enhancing the power supply reliability of the system. Formula (21) is the quantitative index of the value of NPSI in enhancing the power supply reliability of the system per MW of installed capacity: (21); in, U 1 represents the reduction in load shedding penalty costs for nuclear power and pumped storage systems per MW of installed capacity. N Number of running scenarios; and These represent the installed capacities of nuclear power and pumped storage in the system, respectively. The installed capacity of pumped storage is 0 in the single nuclear power operation mode. S32. Construct a quantitative index for the consumption of renewable energy by NPSI joint operation power plants participating in power system dispatch. Use the system renewable energy curtailment penalty fee as the evaluation standard for promoting renewable energy consumption. Formula (22) is the quantitative index of the value of NPSI in promoting renewable energy consumption per MW of installed capacity: (22); in, C The installed capacity of nuclear power and pumped storage power in MW represents the new energy absorption capacity. S33. Construct quantitative indicators for NPSI joint operation power plants to participate in the peak-shaving support of the power system dispatch system. Use NPSI peak-shaving costs and the matching degree between integrated units and loads as the evaluation criteria for alleviating system peak-shaving pressure. Formula (23) is the quantitative indicator of the value of NPSI in alleviating system peak-shaving pressure per MW of installed capacity: (23); in, K The reduction in peak-shaving costs per MW of installed nuclear power and pumped storage power generation; F and These are the system peak-shaving costs for the nuclear storage portion of the system that does not participate in the system peak-shaving, and the system peak-shaving costs for the portion that does participate.
4. The method for robust operation and value quantification of integrated nuclear power and energy storage systems (NPSI) according to claim 1, characterized in that, The step S3 is followed by: S4. Simulations were conducted using IEEE standard cases under typical days in different seasons and three extreme scenarios to analyze the system value quantification index of NPSI operation under multiple scenarios constructed by the NPSI joint robust optimization operation model.
5. A nuclear-electrical integrated NPSI (NPSI) robust operation and value quantification terminal, characterized in that, Includes a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor, when executing the computer program, performs the following steps: S1. Taking into account the operating characteristics of nuclear power and pumped storage, a joint operation model of nuclear power and pumped storage is established by setting multiple peak-shaving depths and considering the flexible complementarity of daily operating characteristics. S2. Considering the random uncertainty and load overload of new energy sources, and taking into account the system peak-shaving cost, the nuclear-storage integrated NPSI joint operation model is optimized to obtain the NPSI joint robust optimization operation model. S3. Based on the NPSI joint robust optimization operation model, construct system value quantification indicators for NPSI operation under multiple scenarios, including comprehensive quantification of the safety, reliability, and economic indicators of NPSI participation in power system operation under typical days in different seasons and extreme scenarios. Step S2 specifically involves: S21. Considering the uncertainty of new energy output, a robust optimization operation model of NPSI including nuclear power and pumped storage is constructed. The objective function is shown in equation (16): (16); in, The total target cost; The operating cost of a conventional thermal power unit; Operating costs of NPSI-operated power plants; The operating cost of the wind farm; The operating cost of a photovoltaic power plant; To incur cost penalties for load shedding; i These are the nodes where different generator sets are located; d The node where the load is located; t The scheduling period is defined as the time slot; the remaining parameters are decision variables. For the power output of the units in the NPSI jointly operated power plants; This is the output of a conventional thermal power unit; This is a status indicator for thermal power units. For wind power output levels under uncertain scenarios; Photovoltaic power output levels under uncertain scenarios; Curtailed wind power; This refers to the unused power of photovoltaic power. The load shearing power; S22. Establish typical daily operating constraints, including operating constraints under basic scenarios and operating constraints under uncertain scenarios; The operational constraints established under the basic scenarios include node power balance constraints, line power flow constraints, wind farm output constraints, photovoltaic power plant output constraints, conventional unit operation constraints, output constraints, standby constraints, minimum start / stop time constraints, ramping constraints, and NPSI operation and standby constraints. Establish operational constraints under uncertain scenarios, including node power balance constraints, line power flow restriction constraints, rescheduling constraints of conventional units, NPSI flexible scheduling constraints, uncertain output constraints of wind and solar power, and uncertain output constraints of photovoltaic power. S23. Use columns and constraints to generate the C&CG algorithm to solve the objective function. The C&CG algorithm implementation process is as follows: Based on the fact that the objective function is a min-max-min problem, the C&CG algorithm is used to solve it, resulting in the following formula (17): (17); in, Constraints under the base scenario Given the constraints under the basic scenario, the goal of the pre-scheduling phase is to minimize the total cost, including the start-up and shutdown constraints of conventional units, output constraints, and the C&CG constraints returned from the subproblems. Therefore, the above formula (17) can be modified into the following formula (18): (18); in, and The budget uncertainty constraints are for wind power and solar power, respectively. U For a set of budget uncertainties; , , and These are 0-1 variables in the budget uncertainty set for wind power and photovoltaic power, respectively. During the rescheduling phase, the inner min problem in formula (18) is transformed into a max problem for solution, as shown in formula (19): (19); in α , β and χ Let A, B, C, and D be the dual variables of the constraints, and let A, B, C, and D be the matrices corresponding to the respective constraints. After dual transformation, the objective function of the rescheduling stage is rewritten in the form of formula (19), and then new variables are introduced to generate C&CG cut set constraints as shown in formula (20): (20); in, all C&CG cutplane obtained so far This refers to the cutting plane constraints generated during the solution process by performing dual transformations on subproblems when using the C&CG algorithm. k Indicates the number of iterations.
6. The integrated nuclear power storage and energy storage (NPSI) robust operation and value quantification terminal according to claim 5, characterized in that, Step S1 specifically involves: S11. Establish a nuclear power operation model that considers multiple peak shaving depths, and define the range of 50% to 100% of the rated power as the safe peak shaving depth range for nuclear power. Within this range, set the relevant constraints for nuclear power peak shaving, including setting multiple peak shaving depths within the rated power range and allowing nuclear power units to transition between low power and full power at three speeds between different peak shaving depths, as shown in the following formulas (1) to (4): (1); (2); (3); (4); in, The peak shaving depth of nuclear power units; n This is a peak-shaving depth identifier, representing the operating point. n Peak shaving depth; and These are the maximum and minimum output of the nuclear power unit, respectively. and The nuclear power units are respectively n Peak-shaving power and low-power stage power at peak-shaving depth; j These are peak-shaving speed indicators, with 1 to 3 representing different peak-shaving speeds; This refers to the power output during the transition between high and low power levels in a nuclear power unit. t Indicates the scheduling period; The actual output of the nuclear power unit; , and They are respectively t Full power, low power, and transition operation indicators at all times; The power state constraints of the nuclear power unit are as follows: (5) (5); The minimum rated / low power operating time constraint is given by the following formula (6): (6); in, In order to be with t Distinguishing time sequence numbers; and These are the minimum durations of operation at full power and low power, respectively. and Both are runtime identifiers, and the constraint on the identifiers is that... t Time period through Depend on t arrive or Cyclic constraints are used to ensure the minimum rated / low power operation time of nuclear power plants, where 1 represents a 1-hour operating segment and 24 is the total number of time segments. The running flag coupling constraints are as follows: (7) and (8): (7); (8); in, and They represent t Full-power operation indicator for the period before / after; and They represent t Low-power operation indicator for the period before / after; S12. Establish a pumped storage operation model with flexible switching of multiple operating conditions, and consider the constraints of the pumped storage operation mode on the operating cycle, the capacity constraints of the upper and lower reservoirs of the pumped storage, and the daily operating capacity constraints based on the daily operating scenario in the charging / discharging rights, as shown in the following formulas (9) to (14): (9); (10); (11); (12); (13); (14); in, and These represent the lower and upper limits of the upper storage capacity, respectively. express t Reservoir storage capacity over a given period of time; and They represent t The state variables for power generation and water pumping during the time period take values of 0 or 1; and They represent t Power generation and pumping capacity during specific time periods; and These represent power generation and pumping efficiency, respectively. and These represent the lower and upper limits of power generation, respectively. For a constant pumping power; S13. Establish the NPSI (Nuclear-Energy Integrated System) joint operation model, and obtain the objective function and operating constraints of the NPSI joint operation model as shown in the following formula (15): (15); in, The total operating cost of the power plant jointly operated by NPSI The operating costs of nuclear power units in NPSI jointly operated power plants, The operating cost of pumped storage units in NPSI jointly operated power plants; , and These represent the total power output of the NPSI jointly operated power plant, the power output of the nuclear power units, and the power output of the pumped storage units. Among these, for... When the value is positive, it operates in power generation mode; when the value is negative, it operates in pumping mode.
7. The integrated nuclear power storage and energy storage (NPSI) robust operation and value quantification terminal according to claim 5, characterized in that, Step S3 specifically involves: S31. Construct a quantitative index for the power supply reliability of NPSI joint operation power plants participating in system operation, and use the system load shedding penalty cost as the evaluation standard for enhancing the power supply reliability of the system. Formula (21) is the quantitative index of the value of NPSI in enhancing the power supply reliability of the system per MW of installed capacity: (21); in, U 1 represents the reduction in load shedding penalty costs for nuclear power and pumped storage systems per MW of installed capacity. N Number of running scenarios; and These represent the installed capacities of nuclear power and pumped storage in the system, respectively. The installed capacity of pumped storage is 0 in the single nuclear power operation mode. S32. Construct a quantitative index for the consumption of renewable energy by NPSI joint operation power plants participating in power system dispatch. Use the system renewable energy curtailment penalty fee as the evaluation standard for promoting renewable energy consumption. Formula (22) is the quantitative index of the value of NPSI in promoting renewable energy consumption per MW of installed capacity: (22); in, C The installed capacity of nuclear power and pumped storage power in MW represents the new energy absorption capacity. S33. Construct quantitative indicators for NPSI joint operation power plants to participate in the peak-shaving support of the power system dispatch system. Use NPSI peak-shaving costs and the matching degree between integrated units and loads as the evaluation criteria for alleviating system peak-shaving pressure. Formula (23) is the quantitative indicator of the value of NPSI in alleviating system peak-shaving pressure per MW of installed capacity: (23); in, K The reduction in peak-shaving costs per MW of installed nuclear power and pumped storage power generation; F and These are the system peak-shaving costs for the nuclear storage portion of the system that does not participate in the system peak-shaving, and the system peak-shaving costs for the portion that does participate.
8. The integrated nuclear power storage and energy storage (NPSI) robust operation and value quantification terminal according to claim 5, characterized in that, The step S3 is followed by: S4. Simulations were conducted using IEEE standard cases under typical days in different seasons and three extreme scenarios to analyze the system value quantification index of NPSI operation under multiple scenarios constructed by the NPSI joint robust optimization operation model.
Citation Information
Patent Citations
Pumped storage power station service power grid capability evaluation method
CN112184049A
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CN116646972A