100 results about "Piecewise linearization" patented technology

A source-grid-load-hydrogen storage multi-stage planning method and system considering flexible resources, relating to the technical field of source-grid-load-hydrogen storage system planning. The method comprises: collecting source-grid-load-hydrogen storage data for data preprocessing; constructing a flexibility supply and demand characteristic model and a source-grid-load-hydrogen storage multi-stage dynamic planning model; calling a solver to solve the source-grid-load-hydrogen storage multi-stage dynamic planning model to obtain an optimal solution; and outputting a multi-stage source-grid-load-hydrogen storage investment result, a multi-stage source-grid-load-hydrogen storage operation policy, and a multi-stage flexibility supply evaluation result within a planning period. Using the minimization of investment costs, operation costs, and insufficient flexibility penalty costs within the whole planning period as target functions, various constraints such as a new energy permeability constraint and a load loss rate constraint are introduced, a dynamic planning method is proposed, and a source-grid-load-hydrogen storage multi-stage planning solution that has sufficiently economical planning operation and is sufficiently flexible is obtained. According to a processing method based on piecewise linearization, the model is simplified, and the computation speed is increased.

The invention relates to the technical field of sensors, and discloses a temperature compensation method based on a silicon resonance pressure sensor. According to the method, real-time temperature drift data is collected through a sliding time window, and a temperature sensitive area and a temperature non-sensitive area are accurately identified; establishing a coupling model of zero drift and full scale drift in the temperature sensitive area; then, piecewise linearization processing is conducted on the coupling model through a dynamic weight distribution strategy, and high-precision temperature compensation parameters are generated; and finally, according to the environment temperature value detected in real time, automatically calling the temperature compensation parameter of the corresponding segment, and carrying out real-time dynamic correction on the original output value of the sensor. According to the method, through region identification and model coupling of temperature drift characteristics, fine division and adaptive matching of a compensation strategy are realized, and the measurement precision and long-term stability of the silicon resonance pressure sensor in a wide temperature range are improved.

The invention discloses a design and control method of a wheel-leg balance robot capable of actively jumping. The design of the wheel-legged balance robot is based on a planar parallel five-bar mechanism, the leg structure design and the wheel train structure design of the wheel-legged balance robot suitable for active jumping are comprehensively considered, and various sensor modules are adopted for sensing, so that the robot can autonomously jump on complex obstacle road sections; meanwhile, the diameter of the wheel and the torque of the motor are designed in a matched mode, so that the robot has high trafficability; a joint motor connecting structure is improved, so that the design strength of a leg structure is improved; an inverted pendulum model containing a wheel-leg mixed structure is used for fitting robot motion, an LQR control algorithm is adopted for processing a nonlinear system through piecewise linearization, and reference input is added to achieve trajectory tracking.

The invention discloses an offshore wind power plant micro-siting optimization method considering regular layout. The method comprises the following steps: firstly, obtaining wind data, wind power plant parameters, fan parameters and wake flow parameters; performing multi-angle rotation on the wind power plant based on an equivalent rotation coordinate method, constructing a gridding mixed integer quadratic programming model, and performing rotation rule layout optimization (RRLO-1) to obtain an initial fan layout; on the basis of the initial layout, a hybrid algorithm (GA-ISSA) of a genetic algorithm and a sparrow search algorithm is adopted, the position of a draught fan and the rotation angle of the wind power plant are finely adjusted, and fine rule layout optimization (RRLO-2) is completed; and finally, the wake flow influence is calculated through a Cosine wake flow model and a quadratic sum superposition model, a fan power curve is processed in a piecewise linearization mode, and the final layout is output by taking the maximization of the total generating capacity as the target. According to the method, a fan position configuration scheme meeting the engineering rule layout requirement is provided for early-stage planning of the offshore wind plant, the wake effect is reduced, the power generation efficiency is improved, and development of the offshore wind power industry and low-carbon target implementation are facilitated.

The invention relates to the technical field of power system automation, in particular to a climbing-frequency modulation coordinated optimization method and system considering energy storage capacity uncertainty, and the method comprises the steps: building an opportunity constraint model of an energy storage system based on the capacity uncertainty, and enabling the opportunity constraint model to be used for describing a reliable feasible region under the deviation of energy storage electric quantity; establishing an energy storage system linearization model considering a climbing-frequency modulation power unified constraint, and realizing power coupling and sharing constraint description of two types of adjustment services; aiming at the nonlinear characteristic of the gradeability of the thermal power generating unit, establishing a piecewise linearization model of the gradeability by adopting a piecewise linearization method; and establishing a thermal power-energy storage combined climbing-frequency modulation coordinated optimization model, and solving the optimization model by adopting a quadratic programming method to obtain the climbing power and frequency modulation reserve capacity of the thermal power generating unit and energy storage. According to the method, the actual available range of the energy storage system capacity can be dynamically reflected, the electric quantity out-of-limit risk caused by the uncertainty of the energy storage capacity is avoided, and the reliability of the scheduling result is improved.

The ELM-based frequency safety constraint linearization optimization scheduling method comprises the following steps: establishing a fire-wind-light multi-energy complementary frequency dynamic response model, and deducing a time domain analytical expression of a frequency safety index by taking a frequency maximum change rate and a frequency maximum deviation as the frequency safety index of a system; considering a frequency lowest point security constraint and a frequency maximum change rate security constraint, and establishing a frequency security constraint-containing optimization scheduling model; a maximum bearable disturbance power linearization mapping method based on ELM is provided, nonlinear frequency security constraints are converted into a series of linear constraint sets, and linearization processing of the frequency security constraints is achieved; and piecewise linearization is carried out on quadratic terms in the established objective function containing the frequency security constraint optimization scheduling model, the overall model is converted into a mixed integer linear model, and a Gurobi solver is used to solve the linearly processed model. The scheduling method can ensure that the system frequency is safe and stable, so that the established optimal scheduling model gives consideration to both economy and frequency safety.

The invention belongs to the technical field of co-scheduling of a river water path hydrogen chain and a watershed power system thereof, and particularly relates to a medium and long-term scheduling method of a power system fused with a flexible water path hydrogen chain. Comprising the following steps: establishing THPE operation constraints considering upstream river water level influence; the influence of the seasonal water level of the river channel on HV navigation conditions is considered, and HV space-time energy transfer constraints are constructed; taking the lowest operating cost of the waterway hydrogen chain and the watershed power system thereof as an objective function, and proposing a medium-and-long-term scheduling model of the waterway hydrogen chain watershed power system; the influence of the hydrogen carrying capacity of the hydrogen transport ship on the real-time hydrogen charging and discharging rate is considered, and a precision self-adaptive piecewise linearization method is designed to improve the solving efficiency; processing the nonlinear constraint of the model by adopting a linearization method, and solving the scheduling model to obtain an optimization strategy; according to the optimization strategy, medium-and-long-term cooperative operation of the waterway hydrogen chain and the watershed power system thereof is guided. According to the method, the cooperative scheduling capability and economical efficiency of the hydrogen-electricity system can be remarkably improved.

The invention provides a collaborative optimization scheduling strategy of an electric-thermal-hydrogen comprehensive energy system in a differentiated operation mode. The method comprises the following steps: firstly, establishing an electricity-hydrogen-heat comprehensive energy system, and respectively establishing WEHP module unified operation models of three electrolysis technologies, an HFC model considering thermoelectric coupling, an HSD model and a heat energy circulation system model; in an off-grid operation mode, supply and demand balance of electric power and heat energy is considered, and an objective function and corresponding constraints for minimizing the daily operation cost of the IES are designed. In a grid-connected operation mode, the IES participates in market transaction according to time-of-use electricity price and hydrogen energy transaction price, a target function considering electric power and hydrogen energy transaction cost is designed, and electric energy balance and tie line power constraint are established. And finally, converting the collaborative optimization scheduling model of the IES into a mixed integer linear model through a piecewise linearization method, establishing a collaborative optimization scheduling model in a differentiated operation mode, and solving the collaborative optimization scheduling model.

The invention discloses a virtual power plant source load interaction optimization scheduling model based on low-carbon response and a solving algorithm, and belongs to the technical field of power system optimization scheduling. A low-carbon scheduling framework containing a distributed power supply, energy storage, a flexible load and a carbon transaction mechanism is constructed, the carbon emission intensity of each link is quantified to form a carbon flow scheduling signal, and a dynamic carbon emission factor and energy cost are coupled. A multi-objective optimization model is established, a complex function is processed by piecewise linearization, and a hybrid algorithm of an improved genetic algorithm and a commercial solver is designed to improve the solving efficiency. The prediction error is dynamically corrected through a'prediction-optimization-feedback 'closed loop, and the strategy is adjusted. According to the scheme, low-carbon and economic collaborative optimization is realized, renewable energy consumption and system stability are enhanced, user satisfaction and real-time scheduling are considered, and a solution is provided for low-carbon intelligent operation of the power distribution network.

A piecewise linearization joint opportunity constraint optimization scheduling method for a power distribution network based on sample data, a computer readable storage medium and a program product, comprising: establishing a joint opportunity constraint scheduling model, considering node voltage uncertainty and power injection imbalance risk, and taking a preset voltage out-of-limit probability as a boundary condition to obtain a joint opportunity constraint scheduling model; the operation risk of the system is controllable; using sample data and a Gaussian mixture model to precisely fit distribution characteristics of uncertainty variables, and converting chance constraints into linear constraints; in addition, a posterior iterative algorithm is adopted to dynamically adjust a joint default probability threshold, and conservative property and economical efficiency of the model are balanced. According to the method, the problem of uncertainty caused by access of renewable energy to the power distribution network can be solved, a generation power distribution scheme with both safety and economy is generated, the risks of node voltage out-of-limit and line blockage are effectively reduced, and safe and economical operation of the power distribution network is achieved.

The invention discloses an offshore wind power plant regular layout optimization method considering submarine topography and turbulence intensity, and the method comprises the steps: carrying out the grid discretization of a target region, and defining a layout rotation angle; a mixed integer linear fractional programming model with the minimum leveling cost per kilowatt-hour as the target is constructed, a wake flow model based on an axisymmetric cosine function and a turbulence model based on an axisymmetric double-Gaussian function are comprehensively integrated, and piecewise linearization is conducted on a turbulence nonlinear term; the method comprises the following steps: pre-defining a layout mode and regular layout constraints, and matching with engineering constraints such as fan number, power and safety distance; and a bounded Dinkelbach algorithm is adopted to carry out iterative solution on the sub-problems decomposed according to angles, and a global optimal layout is obtained. According to the method, wake flow loss, turbulence fatigue and terrain-related cost can be effectively and synergistically optimized, and an economical and efficient layout scheme is provided for offshore wind plant planning.

A lateral–vertical dynamics coordinated control method for a distributed drive electric vehicle, and a related device. The lateral–vertical dynamics coordinated control method for a distributed drive electric vehicle comprises the following steps: creating a fourteen-degree-of-freedom full vehicle model which considers unbalanced magnetic force in an in-wheel motor, so as to accurately represent a state response of a vehicle under different inputs; a three-dimensional piecewise affine tire model performing piecewise linearization of a lateral force of a tire under different side slip angles and vertical loads, so that nonlinear features of the tire can be described under extreme operating conditions; creating an active front-wheel steering controller on the basis of hybrid model predictive control, obtaining a reference center of mass side slip angle and a yaw rate by means of a bicycle model, and then calculating an additional steering angle of the vehicle, thereby ensuring vehicle stability; and designing a multi-constraint input and multi-constraint output active suspension controller based on dual-model predictive control by using roll stability and ride comfort, that is, a tire dynamic load, a vehicle body acceleration, and an in-wheel motor stator-rotor eccentricity, as suspension design control targets.

The invention discloses an intelligent self-adaptive control method for a diesel generating set, which aims at the problems of slow load fluctuation response, poor system stability and the like of the traditional diesel generating set, and comprises the following steps: triggering a quick response mechanism by monitoring a load power change rate in real time, and dividing a load into low, medium and high load areas by adopting a piecewise linearization power distribution strategy; matching an optimal power combination in a power distribution table generated offline by combining an energy storage SOC state; the winding current is decoupled and controlled through rotor flux linkage directional coordinate transformation, the electromagnetic torque is rapidly adjusted through a PI controller, and cooperative power output is achieved in cooperation with space vector pulse width modulation. The preset rule limits that the energy storage power does not exceed 80% rated value and the SOC is maintained at 20%-80%, and the power distribution table is stored in the digital signal processor for real-time execution. According to the method, the response time can be shortened, the controller load is reduced, and the system stability and the fuel economy under complex working conditions are improved.

The invention discloses an analytical calculation method suitable for the magnetic saturation current of a high-voltage shunt reactor under a resonance working condition. The method comprises the following steps: establishing an electromagnetic coupling equivalent circuit model under the resonance working condition of the shunt reactor considering the magnetic saturation characteristic of an iron core; dividing the magnetization characteristic of the iron core into an unsaturated section and a saturated section through piecewise linearization processing of the magnetization curves, and setting the slopes of the two sections of magnetization curves and the magnetic field intensity at the knee point of a demarcation point; according to the working state of the reactor, constructing an electromagnetic coupling equation set containing a first-order conducting term coefficient in an unsaturated state, and deducing a time domain analytical expression of winding current; constructing an electromagnetic coupling equation set considering a zero-sequence coupling effect in a saturated state, simplifying resistance parameters, and then deducing a current solution expression in an equivalent inductance matrix form; the current value of the three-phase winding of the shunt reactor is monitored in real time, when the current amplitude of the winding reaches a knee point value, state switching is triggered, the final value of the previous state is used for updating the initial condition of the next state, and the current waveform is solved.

The present invention belongs to the technical field of power systems, and discloses a method and device for creating a collaborative optimization model of a low-carbon hydrogen production system. The method includes: dividing various types of generator sets and hydrogen production devices in the target low-carbon hydrogen production system into block groups to obtain a plurality of block groups; constructing continuous variables representing the aggregated behavior of the generator sets in the block groups, and establishing a generator set model based on the continuous variables; wherein the continuous variables represent the online capacity and start-stop capacity of the block groups; obtaining a piecewise linear function by performing piecewise linearization processing on the electrolytic hydrogen production efficiency function, and establishing an electrolytic hydrogen production device model based on the piecewise linear function; establishing a collaborative optimization model of the low-carbon hydrogen production system based on the generator set model, the electrolytic hydrogen production device model, cost constraints and additional constraints. It solves the problems of difficult creation of collaborative optimization models and poor model accuracy in the prior art.

This invention relates to an optimization method for an electric-gas coupled system based on adaptive piecewise linearization. This invention considers the coordinated operation of the power system and the natural gas system, and can improve the overall efficiency of the energy system through multi-energy complementarity, promote the absorption of new energy sources, and simultaneously improve the safe and reliable supply of electricity and natural gas. In the calculation process, the number of segments in the linearized pipeline airflow equation obtained through piecewise linearization is adaptively determined. Specifically, the number of segments and segmentation points are dynamically divided using an iterative method, gradually increasing the number of segments and segmentation points. This approach, while ensuring computational accuracy, introduces the minimum number of segmentation intervals and determines the optimal segmentation point location. This transforms the optimal energy flow calculation of the electric-gas coupled system into a mixed-integer linear programming model, achieving an effective trade-off between solution accuracy and computational efficiency. Ultimately, it provides a feasible and efficient technical means for the optimal energy flow analysis of electric-gas coupled systems.

The application discloses a wheel-leg balance robot design capable of active jumping and a control method thereof. The wheel-leg balance robot design is based on a planar parallel five-bar mechanism, and comprehensively considers the leg structure design and wheel train structure design of the wheel-leg balance robot suitable for active jumping. A plurality of sensor modules are adopted for sensing, so that the robot can autonomously perform the jumping function on a complex obstacle road section. Meanwhile, the wheel diameter and the motor torque are matched and designed, so that the robot has strong passability. The joint motor connection structure is improved to improve the design strength of the leg structure. An inverted pendulum model containing a wheel-leg hybrid structure is used to fit the robot movement, an LQR control algorithm is adopted to process the nonlinear system through piecewise linearization, and reference input is added to realize trajectory tracking.

The application discloses a gravity energy storage charging and discharging method using piecewise linearization approximation, and establishes a double-tower type gravity energy storage system according to the structure of an actual gravity energy storage system; the double-tower type gravity energy storage system comprises a hollow cylindrical tower and a central tower located at the center of the hollow cylindrical tower; according to the increased gravity potential energy when bricks are moved from the hollow cylindrical tower to the central tower, the height difference of the tower after charging, the height difference of the tower before charging, the height of the central tower after charging, the volume of the bricks lifted by the energy storage system, the charging power of the current period, the volume of the bricks dropped by the energy storage system and the discharging power and volume of the current period, a nonlinear double-tower model of the gravity energy storage output is established, and is then converted into a mixed integer linear programming model; the nonlinear double-tower model of the gravity energy storage output is solved, the gravity energy storage charging and discharging control is controlled according to the solving result, and can participate in dispatching, and can be configured on the power generation side and the power grid side in a large scale, and has a relatively low unit cost.

The present application relates to the technical field of bus charging, in particular to a bus fast charging station orderly charging method based on a data-driven energy efficiency model; first, the power demand meeting the operation of a bus line is determined, and then a relationship between charging energy conversion efficiency and the actual charging power of a vehicle-mounted energy storage system is established; taking the minimum actual power consumption of the charging station in a day or the minimum actual electricity cost of the charging station in a day as an objective function, wherein the charging energy conversion efficiency is considered, a nonlinear optimization objective function model is established with the power demand of the electric bus line operation, the continuity of the electric bus charging time as constraint conditions, then the nonlinear optimization objective function model is converted into a mixed integer convex programming problem using piecewise linearization, and the optimal charging plan is obtained by solving the mixed integer convex programming problem; the present scheme can further improve the energy conversion efficiency of charging on the basis of traditional orderly charging, reduce the power consumption cost of the charging station operator and the charging cost of the electric bus, and improve the economy.

A voltage sag management optimization configuration method considering differentiated economic losses of sensitive users, comprising: constructing a parameterized voltage tolerance boundary function; establishing an economic loss model of sensitive users under a single fault event, which continuously changes from a lossless area, a quality loss area to a complete interruption area; constructing a residual voltage recovery model after management under the synergistic action of a static synchronous compensator (STATCOM) and a dynamic voltage restorer (DVR); constructing a collaborative optimization configuration model of management equipment, taking the sum of the investment cost of management equipment, the annual operation and maintenance cost and the annual comprehensive economic loss after management as the target; performing piecewise linearization processing on the voltage sag economic loss function and the equipment cost function, converting the collaborative optimization configuration model of management equipment into a mixed integer linear programming model, and then obtaining the optimal installation node and configuration capacity of the management equipment. The method can better match the protection needs of different sensitive users and effectively reduce the comprehensive economic loss caused by voltage sag in the distribution network.

The invention discloses a voltage control target adaptive generation method and system for high-proportion new energy power, and relates to the technical field of new energy voltage regulation and control, and the method comprises the steps: dividing operation modes based on a multi-dimensional operation characteristic database of a new energy station; introducing a piecewise linearization function to convert the ideal voltage control range; calculating and issuing a reactive power control reference quantity of the new energy station; and analyzing the reactive power control reference quantity limit. According to the method, typical working conditions such as a photovoltaic duck curve are accurately sensed, the precision, response speed and robustness of high-proportion new energy power grid voltage control are improved, the prominent problems of midday voltage rise, sudden drop at dusk and the like are inhibited, waste of adjustment resources and voltage out-of-limit risks are avoided, and the method is suitable for large-scale popularization and application. The method improves the new energy consumption capability and the power grid operation safety, and has a good application prospect and popularization value.

The application provides a bus fast-charging station orderly charging method considering battery dynamic charging loss, comprising: determining the power demand meeting bus line operation according to the operation time of the charging station, equipment power limit, quantity limit and bus departure plan; establishing a battery heat loss model and the relationship between charging energy conversion efficiency and the actual charging power of the vehicle-mounted energy storage system based on a first-order RC circuit model; taking the minimum actual power consumption of the charging station in a day or the minimum actual electricity cost of the charging station in a day as an objective function, wherein the battery heat loss is considered, and an optimization model is established with the charging station operation time, charging pile number, charging pile maximum power, power distribution capacity, electric bus travel power demand, electric bus charging time continuity as constraint conditions; using piecewise linearization to convert the nonlinear optimization objective function model into a mixed integer convex programming problem, and solving the mixed integer convex programming problem to obtain the optimal charging plan, including the optimal charging time and corresponding charging power of each vehicle. The method improves the charging energy conversion efficiency, reduces the battery heat loss and prolongs the service life of the battery, reduces the charging cost of the bus while improving the charging energy conversion efficiency, and improves the economy.

The invention belongs to the technical field of post-disaster power distribution network power supply recovery, and particularly relates to a post-disaster power distribution network power supply recovery method based on satellite communication vehicle scheduling. Comprising the steps that a satellite communication vehicle is scheduled to move in a power distribution network area, communication gears are switched according to load requirements, and first-class loads and second-class loads are activated through the communication coverage area of the satellite communication vehicle; constructing a day-ahead scheduling model with the minimum daily operation cost of the post-disaster power distribution network as a target; processing nonlinear constraints by adopting an adaptive piecewise linearization method so as to solve the day-ahead scheduling model; and controlling a moving path, gear switching and a load activation strategy of the satellite communication vehicle according to a solving result of the day-ahead scheduling model. The load is flexibly activated through the satellite communication vehicle, and the system toughness is improved; by distinguishing load types and optimizing communication resource utilization, the total operation cost of the system is reduced, and the post-disaster power supply recovery efficiency is improved.

The application provides an IES scheduling method, system and medium, the method comprising: modeling electrochemical processes and thermal processes of cell units and SOFC auxiliary equipment in the SOFC respectively, and simultaneously obtaining a SOFC nonlinear output characteristic model to represent the relationship between the output electric power, thermal power and working state of the SOFC; based on the degradation effect of the SOFC under different working states, establishing a SOFC nonlinear degradation cost model to count the asset loss caused by the degradation process into the cost; constructing an ETC model according to the SOFC nonlinear output characteristic model and the SOFC nonlinear degradation cost model, and describing the operation and degradation effect of the SOFC; further, adopting a piecewise linearization method to linearize the ETC model, so as to facilitate the solution of the IES optimization scheduling problem. The application facilitates the scheduling personnel of the IES to formulate a safe and economic SOFC operation strategy.

The invention provides a charging operator day-ahead strategy optimization method and system based on future expected cost, and the method comprises the steps: generating a charging operator day-ahead decision scene based on market information rolling prediction; based on the day-ahead decision-making scene, establishing an objective function and constraint conditions of a day-ahead decision-making model considering future expected cost; performing piecewise linearization on a daily decision optimization problem of the day-ahead decision model by adopting a future expected cost function reverse construction method; and solving the linearized optimization problem to obtain a charging operator day-ahead strategy. Through market information rolling prediction, a charging operator day-ahead strategy optimization technology based on future expected cost is realized, continuously updated market information is utilized to the greatest extent, and a future electricity price scene is reasonably predicted; by considering the influence of the maximum demand on the total cost of a charging operator in two aspects of demand electric charge and subsequent optimization boundary, the cost influence of the maximum demand in the whole cycle is accurately modeled.

This invention relates to the field of power system automation technology, and particularly to a method and system for coordinated optimization of ramp-frequency regulation considering the uncertainty of energy storage capacity. The method includes: establishing an opportunity constraint model of the energy storage system based on capacity uncertainty to describe the reliable feasible region under energy storage power deviation; establishing a linearized model of the energy storage system considering unified power constraints for ramp-frequency regulation, realizing the power coupling and shared constraint description of the two types of regulation services; establishing a piecewise linearization model of ramp capacity using a piecewise linearization method to address the nonlinear characteristics of the ramp capacity of thermal power units; establishing a joint ramp-frequency regulation coordination optimization model of thermal power and energy storage, and solving the optimization model using a quadratic programming method to obtain the ramp power and frequency regulation reserve capacity of the thermal power units and energy storage. This invention can dynamically reflect the actual available range of the energy storage system capacity, avoid the risk of power exceeding limits due to energy storage capacity uncertainty, and improve the reliability of dispatch results.

The application belongs to the technical field of power systems, and relates to a carbon emission flow constraint linearization method for low-carbon scheduling of power systems. The method comprises the following steps: establishing a power carbon emission flow model based on power flow direction decomposition to obtain power flow direction constraints and node carbon flow balance constraints for coupling carbon flow calculation; introducing auxiliary state variables and processing the power flow direction constraints by using a large M method; constructing a carbon flow balance equation simplification model based on piecewise linearization and a large M relaxation method; based on the power flow direction constraint and node carbon flow balance constraint linearization method, establishing a low-carbon economic scheduling model of the power system coupled with carbon flow calculation, and converting the model into a linear optimization problem for solving. The application converts the original nonlinear problem into a linear optimization programming problem, improves the solving universality of the low-carbon economic scheduling method of the power system containing carbon flow calculation, can guarantee good carbon accounting accuracy, and significantly improves the model solving efficiency.

The invention discloses a multi-objective mixed integer programming layout optimization method based on intelligent orthogonal constraint, and relates to the technical field of component layout optimization, comprising: establishing a multi-objective layout optimization model based on mixed integer linear programming; decomposing the multi-objective layout optimization model into two single-objective optimization models, and respectively solving the two single-objective optimization models by using a mixed integer programming algorithm; solving results of the two single-target optimization models are processed by using an intelligent orthogonal constraint method, and an intelligent Pareto solution set corresponding to the multi-target layout optimization model is obtained; wherein when the multi-target layout optimization model is established, a finite rectangle method is adopted to decompose a non-rectangular component into a plurality of orthogonal rectangular components, and for a square term in rotational inertia, a piecewise linearization technology is adopted to carry out approximate processing on the square term. According to the method, the multi-target layout optimization problem can be embedded into the mixed integer linear programming framework, and the component layout optimization solving efficiency and the engineering practicability are greatly improved.

The invention discloses an optical storage direct-flexible system long-period adaptive optimization regulation and control method considering source load uncertainty, and the method comprises the steps: designing an optimization scheduling objective function of an optical storage direct-flexible system, and minimizing the total operation cost of the system in a total optimization time scale on the premise of guaranteeing the safe operation of the optical storage direct-flexible system; a system power balance constraint, a power transmission line capacity limitation constraint and a reserve capacity requirement constraint are comprehensively considered, and a day-ahead unit regulation and control strategy with the aim of minimizing the total operation cost of the system is solved based on an external approximation method and a piecewise linearization method; a Markov decision process is constructed by considering the source load uncertainty and the overall optimization regulation and control efficiency under the long-period time scale; and taking the day-ahead unit regulation and control strategy as an initial unit regulation and control strategy under a long-period scale, and realizing self-adaptive adjustment of the long-period unit regulation and control strategy of the optical storage direct-flexible system by adopting a near-end strategy optimization algorithm. According to the method, the adaptive strategy optimization of the controllable unit under the long-period source load uncertainty can be realized.

A method and apparatus for simulating the operation of a cascade reversible hydropower station based on piecewise McCormick relaxation is disclosed. The method includes: constructing a simulation model of the reversible hydropower station operation based on the operating conditions of the station and aiming to maximize the total output of the station; linearizing the nonlinear part of the simulation model using piecewise McCormick relaxation and piecewise linearization to simplify it into a mixed-integer linear programming model; and iteratively relaxing the simulation model based on upstream runoff data and operating parameters to obtain the simulation results. This invention uses piecewise McCormick relaxation to transform the nonlinear problem into a linear problem, while employing an iterative relaxation algorithm to improve the solution accuracy. It does not require narrowing the feasible boundary of McCormick relaxation, has fewer iterations, and a faster convergence speed, thus improving the speed and stability of the solution while ensuring simulation accuracy.