WO2019128012A1 - Robust optimal coordinated dispatching method for alternating-current and direct-current hybrid micro-grid - Google Patents
Robust optimal coordinated dispatching method for alternating-current and direct-current hybrid micro-grid Download PDFInfo
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- the invention belongs to the technical field of microgrid optimization scheduling and energy management, and in particular relates to a robust optimization coordinated scheduling method for AC/DC hybrid microgrid.
- microgrid As a small autonomous system that collects distributed power generation, energy storage and load, microgrid has become an effective technology and an important way to make rational use of renewable energy in the field of power systems. In order to ensure the reliable operation of the microgrid, energy management of the microgrid is required. According to the predictive data and system information of renewable energy such as scenery, and considering the long-term operational efficiency of the microgrid, an operational scheduling plan is formulated for it.
- AC/DC hybrid microgrid as a new type of microgrid structure, which connects AC bus and DC bus through bidirectional converter to realize district and power supply of AC and DC, but the current uncertainty in the optimal scheduling of AC/DC hybrid microgrid
- the stochastic optimization method is adopted, and the robust optimization scheduling is less, and the operating cost, operation characteristics and related constraints of each unit in the AC/DC hybrid microgrid have not been fully considered.
- the technical problem to be solved by the present invention is to provide a robust optimization coordinated scheduling method for AC/DC hybrid microgrid, which can realize AC/DC hybrid micro-in consideration of source-load uncertainty in AC/DC hybrid microgrid.
- the robust optimization scheduling of the network provides guidance and assistance for the development of the AC/DC hybrid microgrid.
- the method for robust optimization coordinated scheduling of an AC/DC hybrid microgrid according to the present invention comprises the following steps:
- Step 10) acquiring source load prediction data and constructing an uncertainty set
- Step 20 acquiring an operating cost coefficient of each device in the system, and constructing an objective function of a robust optimal scheduling model in the form of min-max-min;
- Step 30 Obtain an operation limit of each device in the system, and establish a constraint condition of a robust optimization scheduling model in the form of min-max-min;
- Step 40 Solving the robust optimization scheduling problem, that is, using the column constraint generation algorithm to solve the robust optimization problem, and obtaining the robust coordinated operation mode of the AC-DC hybrid microgrid.
- the source load prediction data is a predicted nominal value, an upper and lower deviation value, and a time period budget parameter of the renewable energy output and load in the AC/DC hybrid microgrid, and the source load prediction is performed.
- the data is substituted into the following equations (1) to (4), that is, the uncertainty set is constructed:
- W, w t are the actual value of the maximum output power of the fan during the t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; ⁇ w is the time period budget parameter of the fan output uncertainty; with The parameters are introduced for the upper deviation of the fan output uncertainty and the lower deviation is introduced; N t is the total time period of a scheduling period; P, L dc and L ac are the uncertainty set of the photovoltaic output and the uncertainty of the DC load, respectively.
- the operating cost coefficient of each device in the system includes all operating cost coefficients related to diesel generators, energy storage, bidirectional converters, fans, photovoltaics, and AC and DC loads, Substituting the running cost coefficient into the following formula (5), the objective function of the robust optimal scheduling model in the form of min-max-min is established:
- the starting cost and shutdown cost of the diesel generator are respectively;
- I DE, t is the starting sign of the diesel generator in the t period, 1 means that the diesel generator is started in the t period, 0 means the diesel generator is not started in the t period ;
- M DE,t is the shutdown flag of the diesel generator in the t period, 1 means that the diesel generator is shut down during the t period, 0 means that the diesel generator is not shut down during the t period;
- U DE,t represents the diesel fuel in the t period
- the running state of the generator when the value is 1, indicates that the diesel generator is in the on state during the t period, and the value of 0 indicates that the diesel generator is in the stop state during the t period;
- the operating limit of each device in the system is all operating limits related to diesel generators, energy storage, bidirectional converters, fans, photovoltaics, and AC and DC loads, Substituting the running limit into the following equations (10) to (22), the constraints of the robust optimal scheduling model in the form of min-max-min are established:
- Equation (10) is the power generation constraint of the fan and photovoltaic
- equations (11)-(13) are the minimum continuous startup time, minimum continuous shutdown time and maximum continuous startup time constraint of the diesel generator. with They are the minimum continuous start-up period limit of the diesel generator, the minimum continuous shutdown period limit and the maximum continuous start-up period limit
- the formula (14) is the upper and lower limits of the diesel generator operating power and the climbing speed constraint. with For the upper and lower limits of the operating power of the diesel generator in the on state, with It is the rate limit for the downhill and uphill slopes of the diesel generator in the unit time period
- the formula (15) is the maximum charge and discharge power constraint of the energy storage.
- Equation (16) is the energy storage state constraint, and S min and S max are the lower and upper limits of the energy storage allowable state, S(t) and S(t-1) is the state of charge of energy storage in the period t and t-1, ⁇ C and ⁇ D are the charging and discharging efficiency limits of energy storage, and S(0) is the initial state of charge of energy storage. , S(N t ) is the state of charge of the stored energy at the end of the scheduling period; equations (17)-(18) are the commutation power and power fluctuation constraints of the bidirectional converter.
- the equations (19)-(20) are the operating power of the AC and DC cut-off load and the schedulable load, and the AC-DC schedulable load for each time period.
- Power constraints, P cut, ac, maxL, t and P cut, dc, maxL, t are the maximum removable load power limits for AC and DC during t periods
- P tran, ac, maxL, t and P tran, dc, maxL,t is the maximum operating power limit for AC and DC schedulable loads in t-period
- [t ac,1 ,t ac,end ] is the operating time interval limit for AC schedulable loads
- [t dc,1 ,t dc , end ] is the operating time interval limit of the DC schedulable load, with Is the planned power consumption limit for AC and DC schedulable loads
- Equations (21)-(22) are power balance constraints for DC and AC zones, with The forward and negative commutation efficiency limits for the bidirectional converter.
- step 40) includes:
- Step 401) Write the robust optimal scheduling model in the form of min-max-min represented by equations (1)-(22) into the following matrix representation:
- Equation (24) represents a constraint condition only related to x, A, b, B, and e are constant matrices in the constraint; Equation (25) represents only y related Constraints, D, f, E, g are the constant matrices in the constraint; Equation (26) represents the constraints associated with x and y, F, h, G are the constant matrices in the constraint; Represents constraints associated with w, p, and y, where J, w, K, and p are constant matrices in the constraint; Eq. (28) represents constraints associated with l dc , l ac , and y , M, N Both are constant matrices in this
- Step 402 Based on the model of the matrix representation in step 401), the sub-problem of the robust optimal scheduling model in the form of min-max-min using the column constraint generation algorithm is as follows:
- ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ dc and ⁇ ac are the dual variables of y in the formulae (25)-(28).
- Step 403) Based on the model of the matrix representation in step 401) and the sub-problem of step 402), the main problem of using the column constraint generation algorithm to form the robust optimal scheduling model in the form of min-max-min is as follows:
- l is the total number of iterations
- k is the current number of iterations
- the x optimized by the main problem is sub-problem as a known variable
- w k , p k , l dc,k , l ac,k are after the kth iteration
- y k is the optimization result of y in the sub-problem after the k-th iteration
- ⁇ is the optimization variable related to the objective function value of the sub-problem.
- Step 404) Using the integer optimization modeling toolbox YALMIP to call the solver SCIP iteratively solve the sub-problem of step 402) and the main problem of step 403) to obtain a robust coordinated operation mode of the AC-DC hybrid microgrid.
- the existing AC/DC hybrid microgrid optimization scheduling research is optimized for the scenarios of renewable energy output and load power determination.
- the deterministic optimization scheduling scheme cannot satisfy multiple source-load uncertain scenarios, and cannot be effectively applied in actual engineering.
- the invention proposes a two-stage robust optimization scheduling model for the source-load uncertainty in the AC-DC hybrid microgrid.
- the first stage optimizes the start and stop of the diesel generator and the operating state of the bidirectional converter for all uncertain scenarios.
- the second stage optimizes the operating power of each equipment unit, and the column constraint generation algorithm can quickly solve the worst problem.
- the robust optimal scheduling model uses the interval uncertainty set to describe all the uncertainties in the microgrid.
- the obtained operational plan under the worst scenarios can meet the operational constraints in all other scenarios, ensuring the piconet in any scenario.
- the safe and economic operation of the system effectively solves the uncertainty problem in the optimal scheduling of AC/DC hybrid microgrid.
- Figure 1 is a flow chart of an embodiment of the present invention
- FIG. 2 is a topological structural diagram of an AC-DC hybrid microgrid according to an embodiment of the present invention.
- FIG. 2 the topology of the AC/DC hybrid microgrid is shown in FIG. 2 as an embodiment of the method of the present invention.
- the method includes the following steps:
- Step 10) acquiring source load prediction data and constructing an uncertainty set
- Step 20 acquiring an operating cost coefficient of each device in the system, and constructing an objective function of a robust optimal scheduling model in the form of min-max-min;
- Step 30 Obtain an operation limit of each device in the system, and establish a constraint condition of a robust optimization scheduling model in the form of min-max-min;
- Step 40 Solving the robust optimization scheduling problem, that is, using the column constraint generation algorithm to solve the robust optimization problem, and obtaining the robust coordinated operation mode of the AC-DC hybrid microgrid.
- the step 10) specifically includes: obtaining a predicted nominal value, an upper and lower deviation value, and a time period budget parameter of the renewable energy output and load in the AC/DC hybrid microgrid, and substituting the source load prediction data into the following formula: (1)
- equation (4) the construct is obtained with an uncertainty set:
- W, w t are the actual value of the maximum output power of the fan during the t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; ⁇ w is the time period budget parameter of the fan output uncertainty; with The parameters are introduced for the upper deviation of the fan output uncertainty and the lower deviation is introduced; N t is the total time period of a scheduling period; P, L dc and L ac are the uncertainty set of the photovoltaic output and the uncertainty of the DC load, respectively.
- the step 20) specifically includes: acquiring operating cost coefficients of each device in the system, including all operating costs related to diesel generators, energy storage, bidirectional converters, fans, photovoltaics, and AC and DC loads.
- the coefficient, and the running cost coefficient is substituted into the following formula (5), that is, the objective function of the robust optimal scheduling model in the form of min-max-min is established:
- the starting cost and shutdown cost of the diesel generator are respectively;
- I DE, t is the starting sign of the diesel generator in the t period, 1 means that the diesel generator is started in the t period, 0 means the diesel generator is not started in the t period ;
- M DE,t is the shutdown flag of the diesel generator in the t period, 1 means that the diesel generator is shut down during the t period, 0 means that the diesel generator is not shut down during the t period;
- U DE,t represents the diesel fuel in the t period
- the running state of the generator when the value is 1, indicates that the diesel generator is in the on state during the t period, and the value of 0 indicates that the diesel generator is in the stop state during the t period;
- the step 30) specifically includes: obtaining operating limits of each device in the system, including all operating limits related to diesel generators, energy storage, bidirectional converters, fans, photovoltaics, and AC and DC loads. Value, the operational limit is substituted into the following equations (10) to (22), that is, the constraints of the robust optimal scheduling model in the form of min-max-min are established:
- Equation (10) is the power generation constraint of the fan and photovoltaic
- equations (11)-(13) are the minimum continuous startup time, minimum continuous shutdown time and maximum continuous startup time constraint of the diesel generator. with They are the minimum continuous start-up period limit of the diesel generator, the minimum continuous shutdown period limit and the maximum continuous start-up period limit
- the formula (14) is the upper and lower limits of the diesel generator operating power and the climbing speed constraint. with For the upper and lower limits of the operating power of the diesel generator in the on state, with It is the rate limit for the downhill and uphill slopes of the diesel generator in the unit time period
- the formula (15) is the maximum charge and discharge power constraint of the energy storage.
- Equation (16) is the energy storage state constraint, and S min and S max are the lower and upper limits of the energy storage allowable state, S(t) and S(t-1) is the state of charge of energy storage in the period t and t-1, ⁇ C and ⁇ D are the charging and discharging efficiency limits of energy storage, and S(0) is the initial state of charge of energy storage. , S(N t ) is the state of charge of the stored energy at the end of the scheduling period; equations (17)-(18) are the commutation power and power fluctuation constraints of the bidirectional converter.
- the equations (19)-(20) are the operating power of the AC and DC cut-off load and the schedulable load, and the AC-DC schedulable load for each time period.
- Power constraints, P cut, ac, maxL, t and P cut, dc, maxL, t are the maximum removable load power limits for AC and DC during t periods
- P tran, ac, maxL, t and P tran, dc, maxL,t is the maximum operating power limit for AC and DC schedulable loads in t-period
- [t ac,1 ,t ac,end ] is the operating time interval limit for AC schedulable loads
- [t dc,1 ,t dc , end ] is the operating time interval limit of the DC schedulable load, with Is the planned power consumption limit for AC and DC schedulable loads
- Equations (21)-(22) are power balance constraints for DC and AC zones, with The forward and negative commutation efficiency limits for the bidirectional converter.
- the step 40) specifically includes:
- Step 401) Write the robust optimal scheduling model in the form of min-max-min represented by equations (1)-(22) into the following matrix representation:
- Equation (24) represents a constraint condition only related to x, A, b, B, and e are constant matrices in the constraint; Equation (25) represents only y related Constraints, D, f, E, g are the constant matrices in the constraint; Equation (26) represents the constraints associated with x and y, F, h, G are the constant matrices in the constraint; Represents constraints associated with w, p, and y, where J, w, K, and p are constant matrices in the constraint; Eq. (28) represents constraints associated with l dc , l ac , and y , M, N Both are constant matrices in this constrain
- Step 402 Based on the model of the matrix representation in step 401), the sub-problem of the robust optimal scheduling model in the form of min-max-min using the column constraint generation algorithm is as follows:
- ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ dc and ⁇ ac are the dual variables of y in the formulae (25)-(28).
- Step 403) Based on the model of the matrix representation in step 401) and the sub-problem of step 402), the main problem of using the column constraint generation algorithm to form the robust optimal scheduling model in the form of min-max-min is as follows:
- l is the total number of iterations
- k is the current number of iterations
- the x optimized by the main problem is sub-problem as a known variable
- w k , p k , l dc,k , l ac,k are after the kth iteration
- y k is the optimization result of y in the sub-problem after the k-th iteration
- ⁇ is the optimization variable related to the objective function value of the sub-problem.
- Step 404) Using the integer optimization modeling toolbox YALMIP to call the solver SCIP iteratively solve the sub-problem of step 402) and the main problem of step 403) to obtain a robust coordinated operation mode of the AC-DC hybrid microgrid.
- YALMIP is an integer optimization modeling toolbox in the company's mathematical software MATLAB.
- the method of the embodiment of the invention proposes a two-stage robust optimization scheduling model and a solution method for the AC-DC hybrid micro-network, considering the source-load uncertainty, and the first stage determines the start-stop and the bidirectional converter of the diesel generator.
- the operating state, the second phase optimizes the operating power of each equipment unit, and uses the column constraint generation algorithm to quickly solve the minimum operating cost and micro-grid operation plan in the worst case scenario.
Abstract
Disclosed is a robust optimal coordinated dispatching method for an alternating-current and direct-current hybrid micro-grid. The method comprises the following steps: step 10) acquiring source load prediction data and creating an uncertainty set; step 20) acquiring an objective function of an optimal dispatching model; step 30) creating constraint conditions of the optimal dispatching model; and step 40) solving a robust optimal dispatching problem: using a column constraint generation algorithm to solve a robust optimization problem to obtain a robust coordinated operation manner of an alternating-current and direct-current hybrid micro-grid. The method takes the uncertainty of multiple source loads in an alternating-current and direct-current hybrid micro-grid into consideration, can realize the robost optimal dispatching of the alternating-current and direct-current hybrid micro-grid and provides guidance and assistance to work out an operation manner of the alternating-current and direct-current hybrid micro-grid.
Description
本发明属于微网优化调度和能量管理技术领域,具体来说,涉及一种交直流混合微网鲁棒优化协调调度方法。The invention belongs to the technical field of microgrid optimization scheduling and energy management, and in particular relates to a robust optimization coordinated scheduling method for AC/DC hybrid microgrid.
由于化石能源的日益枯竭及其对生态环境的高污染,以风能、太阳能等为代表的自然资源以其清洁和可再生的特性得到了广泛关注,目前越来越多可再生能源发电接入了电网。微网作为一种聚集分布式发电、储能和负荷的小型自治系统,已经成为电力系统领域合理利用可再生能源的有效技术和重要途径。为了保证微网经济可靠地运行,需要对微网进行能量管理,根据风光等可再生能源预测数据和系统信息,考虑微网的长期运行效益,为其制定运行调度计划。Due to the depletion of fossil energy and its high pollution to the ecological environment, natural resources such as wind energy and solar energy have received extensive attention for their clean and renewable characteristics. At present, more and more renewable energy power generation has been connected. Grid. As a small autonomous system that collects distributed power generation, energy storage and load, microgrid has become an effective technology and an important way to make rational use of renewable energy in the field of power systems. In order to ensure the reliable operation of the microgrid, energy management of the microgrid is required. According to the predictive data and system information of renewable energy such as scenery, and considering the long-term operational efficiency of the microgrid, an operational scheduling plan is formulated for it.
可再生能源受自然条件的影响具有随机性和间歇性,且负荷波动性较强,导致微网中存在较多的不确定性,这给微网的优化调度带来了巨大的挑战。交直流混合微网作为一种新型微网结构,通过双向换流器连接交流母线与直流母线,实现了交流与直流的分区供电,但目前对于交直流混合微网优化调度中的不确定性问题均采用随机优化方法,而鲁棒优化调度的较少,且尚未全面考虑交直流混合微网中各单元的运行费用、运行特性及相关约束条件。Renewable energy is random and intermittent due to the influence of natural conditions, and the load volatility is strong, which leads to more uncertainties in the microgrid, which brings great challenges to the optimal scheduling of the microgrid. AC/DC hybrid microgrid as a new type of microgrid structure, which connects AC bus and DC bus through bidirectional converter to realize district and power supply of AC and DC, but the current uncertainty in the optimal scheduling of AC/DC hybrid microgrid The stochastic optimization method is adopted, and the robust optimization scheduling is less, and the operating cost, operation characteristics and related constraints of each unit in the AC/DC hybrid microgrid have not been fully considered.
发明内容Summary of the invention
技术问题:本发明所要解决的技术问题是:提供一种交直流混合微网鲁棒优化协调调度方法,该方法考虑到交直流混合微网中的源荷不确定性,能够实现交直流混合微网的鲁棒优化调度,为制定交直流混合微网的运行方式提供指导和帮助。Technical Problem: The technical problem to be solved by the present invention is to provide a robust optimization coordinated scheduling method for AC/DC hybrid microgrid, which can realize AC/DC hybrid micro-in consideration of source-load uncertainty in AC/DC hybrid microgrid. The robust optimization scheduling of the network provides guidance and assistance for the development of the AC/DC hybrid microgrid.
技术方案:本发明的交直流混合微网鲁棒优化协调调度方法,包括以下步骤:Technical Solution: The method for robust optimization coordinated scheduling of an AC/DC hybrid microgrid according to the present invention comprises the following steps:
步骤10)获取源荷预测数据,构建不确定性集;Step 10) acquiring source load prediction data and constructing an uncertainty set;
步骤20)获取系统中各设备的运行成本系数,构建min-max-min形式的鲁棒优化调度模型的目标函数;Step 20) acquiring an operating cost coefficient of each device in the system, and constructing an objective function of a robust optimal scheduling model in the form of min-max-min;
步骤30)获取系统中各设备的运行限值,建立min-max-min形式的鲁棒优化调度模型的约束条件;Step 30) Obtain an operation limit of each device in the system, and establish a constraint condition of a robust optimization scheduling model in the form of min-max-min;
步骤40)求解鲁棒优化调度问题,即利用列约束生成算法求解鲁棒优化问题,获得交直流混合微网的鲁棒协调运行方式。Step 40) Solving the robust optimization scheduling problem, that is, using the column constraint generation algorithm to solve the robust optimization problem, and obtaining the robust coordinated operation mode of the AC-DC hybrid microgrid.
进一步的,本发明方法中,步骤10)中,源荷预测数据为交直流混合微网中可再生能源出力及负荷的预测标称值、上下偏差值及时段预算参数,将所述源荷预测数据代入以下式(1)至式(4)中,即构建得到不确定性集:Further, in the method of the present invention, in step 10), the source load prediction data is a predicted nominal value, an upper and lower deviation value, and a time period budget parameter of the renewable energy output and load in the AC/DC hybrid microgrid, and the source load prediction is performed. The data is substituted into the following equations (1) to (4), that is, the uncertainty set is constructed:
式中,对于风机出力不确定性集W,w
t、
分别是t时段风机最大可输出功率的实际值、预测标称值、预测上偏差值和预测下偏差值;Π
w为风机出力不确定性的时段预算参数;
和
分别为风机出力不确定性的上偏差引入参数和下偏差引入参数;N
t为一个调度周期总时段;P、L
dc和L
ac分别为光伏出力的不确定性集、直流负荷的不确定性集和交流负荷的不确定性集;p
t、
分别是t时段光伏最大可输出功率的实际值、预测标称值、预测上偏差值和预测下偏差值;Π
p为光伏出力不确定性的时段预算参数;
和
分别为光伏出力不确定性的上偏差引入参数和下偏差引入参数;l
dc,t、
分别是t时段直流负荷最大功率的实际值、预测标称值、预测上偏差值和预测下偏差值;Π
l,dc为直流负荷不确定性的时段预算参数;
和κ
-dc,t分别为直流负荷不确定性的上偏差引入参数和下偏差引入参数;l
ac,t、
l
-ac,t分别是t时段交流负荷最大功率的实际值、预测标称值、预测上偏差值和预测下偏差值;Π
l,ac为交流负荷不确定性的时段预算参数;
和κ
-ac,t分别为交流负荷不确定性的上偏差引入参数和下偏差引入参数。
In the formula, for the wind turbine output uncertainty set W, w t , They are the actual value of the maximum output power of the fan during the t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; Π w is the time period budget parameter of the fan output uncertainty; with The parameters are introduced for the upper deviation of the fan output uncertainty and the lower deviation is introduced; N t is the total time period of a scheduling period; P, L dc and L ac are the uncertainty set of the photovoltaic output and the uncertainty of the DC load, respectively. Uncertainty set of set and AC load; p t , They are the actual value of the maximum output power of PV in t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; Π p is the time period budget parameter of the photovoltaic output uncertainty; with Introducing parameters for the upper deviation of the uncertainty of photovoltaic output, and introducing the parameters for the lower deviation; l dc,t , They are the actual value of the maximum power of the DC load in the t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; Π l, dc is the time period budget parameter of the DC load uncertainty; And κ -dc,t are the upper deviation introduction parameters and the lower deviation introduction parameters of DC load uncertainty; l ac,t , l -ac,t are the actual value of the maximum power of the AC load during the t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; Π l, ac is the time period budget parameter of the AC load uncertainty; And κ -ac,t introduce parameters for the upper deviation of the AC load uncertainty and the lower deviation.
进一步的,本发明方法中,步骤20)中,系统中各设备的运行成本系数包括与柴油发电机、储能、双向换流器、风机、光伏及交直流负荷相关的所有的运行成本系数,将运行成本系数代入以下式(5),即建立得到min-max-min形式的鲁棒优化调度模型的目标函数:Further, in the method of the present invention, in step 20), the operating cost coefficient of each device in the system includes all operating cost coefficients related to diesel generators, energy storage, bidirectional converters, fans, photovoltaics, and AC and DC loads, Substituting the running cost coefficient into the following formula (5), the objective function of the robust optimal scheduling model in the form of min-max-min is established:
式(5)中相关参数根据下式计算得到:The relevant parameters in equation (5) are calculated according to the following formula:
式中,
和
分别为柴油发电机的启动成本和关停成本;
为柴油发电机的燃料成本;
和
分别为柴油发电机、储能、双向换流器、风机和光伏的运行维护成本;
为储能损耗成本;
为负荷切除停电惩罚成本,
和
分别为柴油发电机的启动和关停成本系数;I
DE,t为t时段柴油发电机的启动标志位,1表示柴油发电机在t时段被启动,0表示柴油发电机在t时段未被启动;M
DE,t为t时段柴油发电机的关停标志位,1表示柴油发电机在t时段被关停,0表示柴油发电机在t时段未被关停;U
DE,t表示t时段柴油发电机的运行状态,取值为1时表示柴油发电机在t时段处于开机状态,取值为0时表示柴油发电机在t时段处于停机状态;U
acdcBC,t是t时段双向换流器正向换流运行状态标志位,1表示t时段存在正向换流,0表示t时段不存在正向换流,U
dcacBC,t是t时段双向换流器负向换流运行状态标志位,1表示t时段存在负向换流,0表示t时段不存在负向换流;
为柴油发电机的燃料成本系数;a
DE和b
DE为柴油发电机的油耗特性成本系数;P
DE,t为柴油发电机在t时段的运行功率;
为柴油发电机的额定功率;Δt为两时段的时间间隔;
和
分别为柴油发电机、储能、双向换流器、风机和光伏的运行维护成本系数;
为储能损耗成本系数;
为负荷切除停电惩罚成本系数;P
chES,t和P
disES,t分别为储能在t时段的充电功率和放电功率;P
acdcBC,t为双向换流器在t时段从交流母线到直流母线的正向换流功率;P
dcacBC,t为双向换流器在t时段从直流母线到交流母线的负向换流功率;P
WT,t和P
PV,t分别是风机和光伏在t时段的发电功率;P
cut,acL,t和P
cut,dcL,t分别表示t时段交流区被切除的负荷功率和直流区被切除的负荷功率;P
tran,acL,t和P
tran,dcL,t是t时段交流可调度负荷运行功率和直 流可调度负荷运行功率。
In the formula, with The starting cost and shutdown cost of the diesel generator are respectively; The fuel cost for diesel generators; with The operation and maintenance costs of diesel generators, energy storage, bidirectional converters, fans and photovoltaics; Cost for energy storage; Punish the cost of power cuts, with They are the starting and shutting down cost coefficients of the diesel generators respectively; I DE, t is the starting sign of the diesel generator in the t period, 1 means that the diesel generator is started in the t period, 0 means the diesel generator is not started in the t period ;M DE,t is the shutdown flag of the diesel generator in the t period, 1 means that the diesel generator is shut down during the t period, 0 means that the diesel generator is not shut down during the t period; U DE,t represents the diesel fuel in the t period The running state of the generator, when the value is 1, indicates that the diesel generator is in the on state during the t period, and the value of 0 indicates that the diesel generator is in the stop state during the t period; U acdcBC, t is the t period bidirectional converter To the commutation operation status flag, 1 indicates that there is a forward commutation in the t period, 0 indicates that there is no forward commutation in the t period, U dcacBC, t is the t- zone bidirectional converter negative commutation operation status flag, 1 It means that there is a negative commutation in the t period, and 0 means that there is no negative commutation in the t period; The fuel cost coefficient of the diesel generator; a DE and b DE are the fuel consumption characteristic cost coefficients of the diesel generator; P DE,t is the operating power of the diesel generator during the t period; Is the rated power of the diesel generator; Δt is the time interval of two periods; with The operating and maintenance cost factors for diesel generators, energy storage, bidirectional converters, fans and photovoltaics; Cost coefficient for energy storage loss; The cost coefficient for the power cut-off penalty; P chES,t and P disES,t are the charging power and the discharging power of the energy storage in the t period respectively; P acdcBC,t is the bidirectional converter from the alternating current bus to the DC bus in the t period Forward commutating power; P dcacBC, t is the negative commutating power of the bidirectional converter from the DC bus to the AC bus during the t period; P WT, t and P PV, t are the power generation of the fan and photovoltaic respectively during the t period Power; P cut, acL, t and P cut, dcL, t respectively represent the load power of the AC zone cut off during the t period and the load power of the DC zone cut off; P tran, acL, t and P tran, dcL, t are t The time period communication can schedule the load operation power and the DC schedulable load operation power.
进一步的,本发明方法中,步骤30)中,系统中各设备的运行限值为与柴油发电机、储能、双向换流器、风机、光伏及交直流负荷相关的所有的运行限值,将运行限值代入以下式(10)至式(22),即建立得到min-max-min形式的鲁棒优化调度模型的约束条件:Further, in the method of the present invention, in step 30), the operating limit of each device in the system is all operating limits related to diesel generators, energy storage, bidirectional converters, fans, photovoltaics, and AC and DC loads, Substituting the running limit into the following equations (10) to (22), the constraints of the robust optimal scheduling model in the form of min-max-min are established:
0≤P
WT,t≤w
t,0≤P
PV,t≤p
t (40)
0 ≤ P WT, t ≤ w t , 0 ≤ P PV, t ≤ p t (40)
I
DE,t+M
DE,t≤1,I
DE,t-M
DE,t=U
DE,t-U
DE,t-1 (43)
I DE,t +M DE,t ≤1,I DE,t -M DE,t =U DE,t -U DE,t-1 (43)
式(10)为风机和光伏的发电功率约束;式(11)-(13)为柴油发电机的最小持续开机时间、最小持续关机时间和最大持续开机时间约束,
和
分别为柴油发电机的最小持续开机时段数限值、最小持续关机时段数限值和最大持续开机时段数限值;式(14)为柴油发电机运行功率上下限及爬坡速度约束,
和
为柴油发电机开机状态下运行功率的上限值和下限值,
和
为柴油发电机的单位时段内下爬坡和上爬坡的速率限值;式(15)为储能最大充放电功率约束,
和
为储能的最大充电和放电功率限值;式(16)为储能荷电状态约束,S
min和S
max为储能允许荷电状态的下限值和上限值,S(t)和S(t-1)为t和t-1时段储能的荷电状态,η
C和η
D为储能的充电和放电效率 限值,S(0)为储能的初始荷电状态限值,S(N
t)为储能在调度周期末的荷电状态限值;式(17)-(18)为双向换流器的换流功率及功率波动约束,
和
表示正向换流和负向换流的运行功率限值,
和
表示双向换流器在相邻时段功率波动的下限值和上限值;式(19)-(20)为各时段交直流被切除负荷和可调度负荷的运行功率、交直流可调度负荷用电量约束,P
cut,ac,maxL,t和P
cut,dc,maxL,t是t时段交流和直流最大的可切除负荷功率限值,P
tran,ac,maxL,t和P
tran,dc,maxL,t是t时段交流和直流可调度负荷的最大运行功率限值,[t
ac,1,t
ac,end]为交流可调度负荷的运行时段区间限值,[t
dc,1,t
dc,end]为直流可调度负荷的运行时段区间限值,
和
是交流和直流可调度负荷的计划用电量限值;式(21)-(22)为直流区和交流区的功率平衡约束,
和
为双向换流器的正向和负向换流效率限值。
Equation (10) is the power generation constraint of the fan and photovoltaic; the equations (11)-(13) are the minimum continuous startup time, minimum continuous shutdown time and maximum continuous startup time constraint of the diesel generator. with They are the minimum continuous start-up period limit of the diesel generator, the minimum continuous shutdown period limit and the maximum continuous start-up period limit; the formula (14) is the upper and lower limits of the diesel generator operating power and the climbing speed constraint. with For the upper and lower limits of the operating power of the diesel generator in the on state, with It is the rate limit for the downhill and uphill slopes of the diesel generator in the unit time period; the formula (15) is the maximum charge and discharge power constraint of the energy storage. with The maximum charge and discharge power limit for energy storage; Equation (16) is the energy storage state constraint, and S min and S max are the lower and upper limits of the energy storage allowable state, S(t) and S(t-1) is the state of charge of energy storage in the period t and t-1, η C and η D are the charging and discharging efficiency limits of energy storage, and S(0) is the initial state of charge of energy storage. , S(N t ) is the state of charge of the stored energy at the end of the scheduling period; equations (17)-(18) are the commutation power and power fluctuation constraints of the bidirectional converter. with Indicates the operating power limits for forward commutation and negative commutation, with The lower limit value and the upper limit value of the power fluctuation of the bidirectional converter in the adjacent time period; the equations (19)-(20) are the operating power of the AC and DC cut-off load and the schedulable load, and the AC-DC schedulable load for each time period. Power constraints, P cut, ac, maxL, t and P cut, dc, maxL, t are the maximum removable load power limits for AC and DC during t periods, P tran, ac, maxL, t and P tran, dc, maxL,t is the maximum operating power limit for AC and DC schedulable loads in t-period, [t ac,1 ,t ac,end ] is the operating time interval limit for AC schedulable loads, [t dc,1 ,t dc , end ] is the operating time interval limit of the DC schedulable load, with Is the planned power consumption limit for AC and DC schedulable loads; Equations (21)-(22) are power balance constraints for DC and AC zones, with The forward and negative commutation efficiency limits for the bidirectional converter.
进一步的,本发明方法中,步骤40)的具体内容包括:Further, in the method of the present invention, the specific content of step 40) includes:
步骤401):将式(1)-(22)表示的min-max-min形式的鲁棒优化调度模型写成以下矩阵表示形式:Step 401): Write the robust optimal scheduling model in the form of min-max-min represented by equations (1)-(22) into the following matrix representation:
s.t.A·x≤b,B·x=e,x∈{0,1} (54)s.t.A·x≤b, B·x=e,x∈{0,1} (54)
D·y≤f,E·y=g, (55)D·y≤f, E·y=g, (55)
F·y≤h-G·x, (56)F·y≤h-G·x, (56)
J·y≤w,K·y≤p, (57)J·y≤w, K·y≤p, (57)
M·y=l
dc,N·y=l
ac (58)
M·y=l dc , N·y=l ac (58)
式中,x为式(5)中第一阶段的0-1状态变量,y为第二阶段功率变量,w、p、l
dc、l
ac为第二阶段不确定性集变量的集合,c、d为该目标函数中的常数矩阵;式(24)表示仅与x相关的约束条件,A、b、B、e均为该约束中的常数矩阵;式(25)表示仅与y相关的约束条件,D、f、E、g均为该约束中的常数矩阵;式(26)表示与x和y相关的约束条件,F、h、G均为该约束中的常数矩阵;式(27)表示与w,p和y相关的约束条件,J、w、K、p均为该约束中的常数矩阵;式(28)表示与l
dc,l
ac和y相关的约束条件,M、N均为该约束中的常数矩阵。
Where x is the 0-1 state variable of the first phase of equation (5), y is the second phase power variable, and w, p, l dc , l ac are the set of the second phase uncertainty set variables, c d is a constant matrix in the objective function; Equation (24) represents a constraint condition only related to x, A, b, B, and e are constant matrices in the constraint; Equation (25) represents only y related Constraints, D, f, E, g are the constant matrices in the constraint; Equation (26) represents the constraints associated with x and y, F, h, G are the constant matrices in the constraint; Represents constraints associated with w, p, and y, where J, w, K, and p are constant matrices in the constraint; Eq. (28) represents constraints associated with l dc , l ac , and y , M, N Both are constant matrices in this constraint.
步骤402):基于步骤401)中矩阵表示形式的模型,利用列约束生成算法形成min-max-min形式的鲁棒优化调度模型的子问题如下所示:Step 402): Based on the model of the matrix representation in step 401), the sub-problem of the robust optimal scheduling model in the form of min-max-min using the column constraint generation algorithm is as follows:
式中,α、β、χ、γ、ψ、μ
dc和μ
ac为式(25)-(28)中y的对偶变量。
Wherein α, β, χ, γ, ψ, μ dc and μ ac are the dual variables of y in the formulae (25)-(28).
步骤403):基于步骤401)中矩阵表示形式的模型和步骤402)的子问题,利用列约束生成算法形成min-max-min形式的鲁棒优化调度模型的主问题如下所示:Step 403): Based on the model of the matrix representation in step 401) and the sub-problem of step 402), the main problem of using the column constraint generation algorithm to form the robust optimal scheduling model in the form of min-max-min is as follows:
式中,l为总迭代次数,k为当前迭代次数,主问题优化出的x作为已知变量代入子问题,w
k、p
k、l
dc,k、l
ac,k为第k次迭代后子问题中w、p、l
dc、l
ac的优化结果,y
k为第k次迭代后子问题中y的优化结果;η为与子问题目标函数值相关的优化变量。
Where l is the total number of iterations, k is the current number of iterations, and the x optimized by the main problem is sub-problem as a known variable, w k , p k , l dc,k , l ac,k are after the kth iteration The optimization result of w, p, l dc and l ac in the sub-problem, y k is the optimization result of y in the sub-problem after the k-th iteration; η is the optimization variable related to the objective function value of the sub-problem.
步骤404):利用整数优化建模工具箱YALMIP调用求解器SCIP迭代求解步骤402)的子问题和步骤403)的主问题,获得交直流混合微网的鲁棒协调运行方式。Step 404): Using the integer optimization modeling toolbox YALMIP to call the solver SCIP iteratively solve the sub-problem of step 402) and the main problem of step 403) to obtain a robust coordinated operation mode of the AC-DC hybrid microgrid.
有益效果:与现有技术相比,本发明具有以下优点:Advantageous Effects: Compared with the prior art, the present invention has the following advantages:
已有交直流混合微网优化调度研究均针对可再生能源出力和负荷功率确定的场景进行优化调度,但实际中可再生能源出力和负荷功率预测常常存在偏差,因此可能发生的场景并不确定。确定性优化调度方案无法满足多个源荷不确定场景,在实际工程中无法有效应用。本发明针对交直流混合微网中的源荷不确定性提出了两阶段鲁棒优化调度模型。第一阶段优化出满足所有不确定性场景的柴油发电机的启停和双向换流器的运行状态,第二阶段优化出各设备单元的运行功率,利用列约束生成算法快速求解能够获得最恶劣场景下的最小运行费用及微网运行计划。该鲁棒优化调度模型利用区间不确定性集描述微网中的所有不确定性因素,所获得的最恶劣场景下的运行计划能够满足所有其他场景下的运行约束,保证在任何场景下微网系统的安全经济运行,从而有效地解决了交直流混合微网优化调度中的不确定性问题。The existing AC/DC hybrid microgrid optimization scheduling research is optimized for the scenarios of renewable energy output and load power determination. However, the actual renewable energy output and load power prediction often have deviations, so the possible scenarios are not certain. The deterministic optimization scheduling scheme cannot satisfy multiple source-load uncertain scenarios, and cannot be effectively applied in actual engineering. The invention proposes a two-stage robust optimization scheduling model for the source-load uncertainty in the AC-DC hybrid microgrid. The first stage optimizes the start and stop of the diesel generator and the operating state of the bidirectional converter for all uncertain scenarios. The second stage optimizes the operating power of each equipment unit, and the column constraint generation algorithm can quickly solve the worst problem. Minimum operating cost and piconet operation plan under the scenario. The robust optimal scheduling model uses the interval uncertainty set to describe all the uncertainties in the microgrid. The obtained operational plan under the worst scenarios can meet the operational constraints in all other scenarios, ensuring the piconet in any scenario. The safe and economic operation of the system effectively solves the uncertainty problem in the optimal scheduling of AC/DC hybrid microgrid.
图1为本发明实施例的流程图;Figure 1 is a flow chart of an embodiment of the present invention;
图2为本发明实施例中交直流混合微网的拓扑结构图。2 is a topological structural diagram of an AC-DC hybrid microgrid according to an embodiment of the present invention.
下面结合附图,对本发明实施例的技术方案做进一步的说明。The technical solutions of the embodiments of the present invention are further described below with reference to the accompanying drawings.
如图1所示,本发明方法的实施例,交直流混合微网的拓扑结构如图2所示。该方法包括以下步骤:As shown in FIG. 1, the topology of the AC/DC hybrid microgrid is shown in FIG. 2 as an embodiment of the method of the present invention. The method includes the following steps:
步骤10)获取源荷预测数据,构建不确定性集;Step 10) acquiring source load prediction data and constructing an uncertainty set;
步骤20)获取系统中各设备的运行成本系数,构建min-max-min形式的鲁棒优化调度模型的目标函数;Step 20) acquiring an operating cost coefficient of each device in the system, and constructing an objective function of a robust optimal scheduling model in the form of min-max-min;
步骤30)获取系统中各设备的运行限值,建立min-max-min形式的鲁棒优化调度模型的约束条件;Step 30) Obtain an operation limit of each device in the system, and establish a constraint condition of a robust optimization scheduling model in the form of min-max-min;
步骤40)求解鲁棒优化调度问题,即利用列约束生成算法求解鲁棒优化问题,获得交直流混合微网的鲁棒协调运行方式。Step 40) Solving the robust optimization scheduling problem, that is, using the column constraint generation algorithm to solve the robust optimization problem, and obtaining the robust coordinated operation mode of the AC-DC hybrid microgrid.
作为优选方案,所述的步骤10)具体包括:获取交直流混合微网中可再生能源出力及负荷的预测标称值、上下偏差值及时段预算参数,将所述源荷预测数据代入以下式(1)至式(4)中,即构建得到不确定性集:Preferably, the step 10) specifically includes: obtaining a predicted nominal value, an upper and lower deviation value, and a time period budget parameter of the renewable energy output and load in the AC/DC hybrid microgrid, and substituting the source load prediction data into the following formula: (1) In equation (4), the construct is obtained with an uncertainty set:
式中,对于风机出力不确定性集W,w
t、
分别是t时段风机最大可输出功率的实际值、预测标称值、预测上偏差值和预测下偏差值;Π
w为风机出力不确定性的时段预算参数;
和
分别为风机出力不确定性的上偏差引入参数和下偏差引入参数;N
t为一个调度周期总时段;P、L
dc和L
ac分别为光伏出力的不确定性集、直流负荷的不确定性集和交流负荷的不确定性集;p
t、
分别是t时段光伏最大可输出功率的实际值、预测标称值、预测上偏差值和预测下偏差值;Π
p为光伏出力不确定性的时段预算参数;
和
分别为光伏出力不确定性的上偏差引入参数和下偏差引入参 数;l
dc,t、
分别是t时段直流负荷最大功率的实际值、预测标称值、预测上偏差值和预测下偏差值;Π
l,dc为直流负荷不确定性的时段预算参数;
和
分别为直流负荷不确定性的上偏差引入参数和下偏差引入参数;l
ac,t、
分别是t时段交流负荷最大功率的实际值、预测标称值、预测上偏差值和预测下偏差值;Π
l,ac为交流负荷不确定性的时段预算参数;
和κ
-ac,t分别为交流负荷不确定性的上偏差引入参数和下偏差引入参数。
In the formula, for the wind turbine output uncertainty set W, w t , They are the actual value of the maximum output power of the fan during the t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; Π w is the time period budget parameter of the fan output uncertainty; with The parameters are introduced for the upper deviation of the fan output uncertainty and the lower deviation is introduced; N t is the total time period of a scheduling period; P, L dc and L ac are the uncertainty set of the photovoltaic output and the uncertainty of the DC load, respectively. Uncertainty set of set and AC load; p t , They are the actual value of the maximum output power of PV in t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; Π p is the time period budget parameter of the photovoltaic output uncertainty; with Introducing parameters for the upper deviation of the uncertainty of photovoltaic output, and introducing the parameters for the lower deviation; l dc,t , They are the actual value of the maximum power of the DC load in the t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; Π l, dc is the time period budget parameter of the DC load uncertainty; with Introducing parameters for the upper deviation of the DC load uncertainty and introducing the parameters for the lower deviation; l ac,t , They are the actual value of the maximum power of the AC load during the t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; Π l, ac is the time period budget parameter of the AC load uncertainty; And κ -ac,t introduce parameters for the upper deviation of the AC load uncertainty and the lower deviation.
作为优选方案,所述的步骤20)具体包括:获取系统中各设备的运行成本系数,包括与柴油发电机、储能、双向换流器、风机、光伏及交直流负荷相关的所有的运行成本系数,并将运行成本系数代入以下式(5),即建立得到min-max-min形式的鲁棒优化调度模型的目标函数:Preferably, the step 20) specifically includes: acquiring operating cost coefficients of each device in the system, including all operating costs related to diesel generators, energy storage, bidirectional converters, fans, photovoltaics, and AC and DC loads. The coefficient, and the running cost coefficient is substituted into the following formula (5), that is, the objective function of the robust optimal scheduling model in the form of min-max-min is established:
式(5)中相关参数根据下式计算得到:The relevant parameters in equation (5) are calculated according to the following formula:
式中,
和
分别为柴油发电机的启动成本和关停成本;
为柴油发电机的燃料成本;
和
分别为柴油发电机、储能、双向换流器、风机和光伏的运行维护成本;
为储能损耗成本;
为负荷切除停电惩罚成本,
和
分别为柴油发电机的启动和关停成本系数;I
DE,t为t时段柴油发电机的启动标志位,1表示柴油发电机在t时段被启动,0表示柴油发电机在t时段未被启动;M
DE,t为t时段柴油发电机的关停标志位,1表示柴油发电机在t时段被关停,0表示柴油发电机在t时段未被关停;U
DE,t表示t时段柴油发电机的运行状态,取值为1时表示柴油发电机在t时段处于开机状态,取值为0时表示柴油发电机在t时段处于停机状态;U
acdcBC,t是t时段双向换流器正向换流运行状态标志位,1表示t时段存在正向换流,0表示t时段不存 在正向换流,U
dcacBC,t是t时段双向换流器负向换流运行状态标志位,1表示t时段存在负向换流,0表示t时段不存在负向换流;
为柴油发电机的燃料成本系数;a
DE和b
DE为柴油发电机的油耗特性成本系数;P
DE,t为柴油发电机在t时段的运行功率;
为柴油发电机的额定功率;Δt为两时段的时间间隔;
和
分别为柴油发电机、储能、双向换流器、风机和光伏的运行维护成本系数;
为储能损耗成本系数;
为负荷切除停电惩罚成本系数;P
chES,t和P
disES,t分别为储能在t时段的充电功率和放电功率;P
acdcBC,t为双向换流器在t时段从交流母线到直流母线的正向换流功率;P
dcacBC,t为双向换流器在t时段从直流母线到交流母线的负向换流功率;P
WT,t和P
PV,t分别是风机和光伏在t时段的发电功率;P
cut,acL,t和P
cut,dcL,t分别表示t时段交流区被切除的负荷功率和直流区被切除的负荷功率;P
tran,acL,t和P
tran,dcL,t是t时段交流可调度负荷运行功率和直流可调度负荷运行功率。
In the formula, with The starting cost and shutdown cost of the diesel generator are respectively; The fuel cost for diesel generators; with The operation and maintenance costs of diesel generators, energy storage, bidirectional converters, fans and photovoltaics; Cost for energy storage; Punish the cost of power cuts, with They are the starting and shutting down cost coefficients of the diesel generators respectively; I DE, t is the starting sign of the diesel generator in the t period, 1 means that the diesel generator is started in the t period, 0 means the diesel generator is not started in the t period ;M DE,t is the shutdown flag of the diesel generator in the t period, 1 means that the diesel generator is shut down during the t period, 0 means that the diesel generator is not shut down during the t period; U DE,t represents the diesel fuel in the t period The running state of the generator, when the value is 1, indicates that the diesel generator is in the on state during the t period, and the value of 0 indicates that the diesel generator is in the stop state during the t period; U acdcBC, t is the t period bidirectional converter To the commutation operation status flag, 1 indicates that there is a forward commutation in the t period, 0 indicates that there is no forward commutation in the t period, U dcacBC, t is the t- zone bidirectional converter negative commutation operation status flag, 1 It means that there is a negative commutation in the t period, and 0 means that there is no negative commutation in the t period; The fuel cost coefficient of the diesel generator; a DE and b DE are the fuel consumption characteristic cost coefficients of the diesel generator; P DE,t is the operating power of the diesel generator during the t period; Is the rated power of the diesel generator; Δt is the time interval of two periods; with The operating and maintenance cost factors for diesel generators, energy storage, bidirectional converters, fans and photovoltaics; Cost coefficient for energy storage loss; The cost coefficient for the power cut-off penalty; P chES,t and P disES,t are the charging power and the discharging power of the energy storage in the t period respectively; P acdcBC,t is the bidirectional converter from the alternating current bus to the DC bus in the t period Forward commutating power; P dcacBC, t is the negative commutating power of the bidirectional converter from the DC bus to the AC bus during the t period; P WT, t and P PV, t are the power generation of the fan and photovoltaic respectively during the t period Power; P cut, acL, t and P cut, dcL, t respectively represent the load power of the AC zone cut off during the t period and the load power of the DC zone cut off; P tran, acL, t and P tran, dcL, t are t The time period communication can schedule the load operation power and the DC schedulable load operation power.
作为优选方案,所述的步骤30)具体包括:获取系统中各设备的运行限值,包括与柴油发电机、储能、双向换流器、风机、光伏及交直流负荷相关的所有的运行限值,将运行限值代入以下式(10)至式(22),即建立得到min-max-min形式的鲁棒优化调度模型的约束条件:Preferably, the step 30) specifically includes: obtaining operating limits of each device in the system, including all operating limits related to diesel generators, energy storage, bidirectional converters, fans, photovoltaics, and AC and DC loads. Value, the operational limit is substituted into the following equations (10) to (22), that is, the constraints of the robust optimal scheduling model in the form of min-max-min are established:
0≤P
WT,t≤w
t,0≤P
PV,t≤p
t (65)
0 ≤ P WT, t ≤ w t , 0 ≤ P PV, t ≤ p t (65)
I
DE,t+M
DE,t≤1,I
DE,t-M
DE,t=U
DE,t-U
DE,t-1 (68)
I DE,t +M DE,t ≤1,I DE,t -M DE,t =U DE,t -U DE,t-1 (68)
式(10)为风机和光伏的发电功率约束;式(11)-(13)为柴油发电机的最小持续开机时间、最小持续关机时间和最大持续开机时间约束,
和
分别为柴油发电机的最小持续开机时段数限值、最小持续关机时段数限值和最大持续开机时段数限值;式(14)为柴油发电机运行功率上下限及爬坡速度约束,
和
为柴油发电机开机状态下运行功率的上限值和下限值,
和
为柴油发电机的单位时段内下爬坡和上爬坡的速率限值;式(15)为储能最大充放电功率约束,
和
为储能的最大充电和放电功率限值;式(16)为储能荷电状态约束,S
min和S
max为储能允许荷电状态的下限值和上限值,S(t)和S(t-1)为t和t-1时段储能的荷电状态,η
C和η
D为储能的充电和放电效率限值,S(0)为储能的初始荷电状态限值,S(N
t)为储能在调度周期末的荷电状态限值;式(17)-(18)为双向换流器的换流功率及功率波动约束,
和
表示正向换流和负向换流的运行功率限值,
和
表示双向换流器在相邻时段功率波动的下限值和上限值;式(19)-(20)为各时段交直流被切除负荷和可调度负荷的运行功率、交直流可调度负荷用电量约束,P
cut,ac,maxL,t和P
cut,dc,maxL,t是t时段交流和直流最大的可切除负荷功率限值,P
tran,ac,maxL,t和P
tran,dc,maxL,t是t时段交流和直流可调度负荷的最大运行功率限值,[t
ac,1,t
ac,end]为交流可调度负荷的运行时段区间限值,[t
dc,1,t
dc,end]为直流可调度负荷的运行时段区间限值,
和
是交流和直流可调度负荷的计划用电量限值;式(21)-(22)为直流区和交流区的功率平衡约束,
和
为双向换流器的正向和负向换流效率限值。
Equation (10) is the power generation constraint of the fan and photovoltaic; the equations (11)-(13) are the minimum continuous startup time, minimum continuous shutdown time and maximum continuous startup time constraint of the diesel generator. with They are the minimum continuous start-up period limit of the diesel generator, the minimum continuous shutdown period limit and the maximum continuous start-up period limit; the formula (14) is the upper and lower limits of the diesel generator operating power and the climbing speed constraint. with For the upper and lower limits of the operating power of the diesel generator in the on state, with It is the rate limit for the downhill and uphill slopes of the diesel generator in the unit time period; the formula (15) is the maximum charge and discharge power constraint of the energy storage. with The maximum charge and discharge power limit for energy storage; Equation (16) is the energy storage state constraint, and S min and S max are the lower and upper limits of the energy storage allowable state, S(t) and S(t-1) is the state of charge of energy storage in the period t and t-1, η C and η D are the charging and discharging efficiency limits of energy storage, and S(0) is the initial state of charge of energy storage. , S(N t ) is the state of charge of the stored energy at the end of the scheduling period; equations (17)-(18) are the commutation power and power fluctuation constraints of the bidirectional converter. with Indicates the operating power limits for forward commutation and negative commutation, with The lower limit value and the upper limit value of the power fluctuation of the bidirectional converter in the adjacent time period; the equations (19)-(20) are the operating power of the AC and DC cut-off load and the schedulable load, and the AC-DC schedulable load for each time period. Power constraints, P cut, ac, maxL, t and P cut, dc, maxL, t are the maximum removable load power limits for AC and DC during t periods, P tran, ac, maxL, t and P tran, dc, maxL,t is the maximum operating power limit for AC and DC schedulable loads in t-period, [t ac,1 ,t ac,end ] is the operating time interval limit for AC schedulable loads, [t dc,1 ,t dc , end ] is the operating time interval limit of the DC schedulable load, with Is the planned power consumption limit for AC and DC schedulable loads; Equations (21)-(22) are power balance constraints for DC and AC zones, with The forward and negative commutation efficiency limits for the bidirectional converter.
作为优选方案,所述的步骤40)具体包括:As a preferred solution, the step 40) specifically includes:
步骤401):将式(1)-(22)表示的min-max-min形式的鲁棒优化调度模型写成以下矩阵表示形式:Step 401): Write the robust optimal scheduling model in the form of min-max-min represented by equations (1)-(22) into the following matrix representation:
s.t.A·x≤b,B·x=e,x∈{0,1} (79)s.t.A·x≤b, B·x=e,x∈{0,1} (79)
D·y≤f,E·y=g, (80)D·y≤f, E·y=g, (80)
F·y≤h-G·x, (81)F·y≤h-G·x, (81)
J·y≤w,K·y≤p, (82)J·y≤w, K·y≤p, (82)
M·y=l
dc,N·y=l
ac (83)
M·y=l dc , N·y=l ac (83)
式中,x为式(5)中第一阶段的0-1状态变量,y为第二阶段功率变量,w、p、l
dc、 l
ac为第二阶段不确定性集变量的集合,c、d为该目标函数中的常数矩阵;式(24)表示仅与x相关的约束条件,A、b、B、e均为该约束中的常数矩阵;式(25)表示仅与y相关的约束条件,D、f、E、g均为该约束中的常数矩阵;式(26)表示与x和y相关的约束条件,F、h、G均为该约束中的常数矩阵;式(27)表示与w,p和y相关的约束条件,J、w、K、p均为该约束中的常数矩阵;式(28)表示与l
dc,l
ac和y相关的约束条件,M、N均为该约束中的常数矩阵。
Where x is the 0-1 state variable of the first stage of equation (5), y is the second stage power variable, w, p, l dc , l ac is the set of the second stage uncertainty set variable, c d is a constant matrix in the objective function; Equation (24) represents a constraint condition only related to x, A, b, B, and e are constant matrices in the constraint; Equation (25) represents only y related Constraints, D, f, E, g are the constant matrices in the constraint; Equation (26) represents the constraints associated with x and y, F, h, G are the constant matrices in the constraint; Represents constraints associated with w, p, and y, where J, w, K, and p are constant matrices in the constraint; Eq. (28) represents constraints associated with l dc , l ac , and y , M, N Both are constant matrices in this constraint.
步骤402):基于步骤401)中矩阵表示形式的模型,利用列约束生成算法形成min-max-min形式的鲁棒优化调度模型的子问题如下所示:Step 402): Based on the model of the matrix representation in step 401), the sub-problem of the robust optimal scheduling model in the form of min-max-min using the column constraint generation algorithm is as follows:
式中,α、β、χ、γ、ψ、μ
dc和μ
ac为式(25)-(28)中y的对偶变量。
Wherein α, β, χ, γ, ψ, μ dc and μ ac are the dual variables of y in the formulae (25)-(28).
步骤403):基于步骤401)中矩阵表示形式的模型和步骤402)的子问题,利用列约束生成算法形成min-max-min形式的鲁棒优化调度模型的主问题如下所示:Step 403): Based on the model of the matrix representation in step 401) and the sub-problem of step 402), the main problem of using the column constraint generation algorithm to form the robust optimal scheduling model in the form of min-max-min is as follows:
式中,l为总迭代次数,k为当前迭代次数,主问题优化出的x作为已知变量代入子问题,w
k、p
k、l
dc,k、l
ac,k为第k次迭代后子问题中w、p、l
dc、l
ac的优化结果,y
k为第k次迭代后子问题中y的优化结果;η为与子问题目标函数值相关的优化变量。
Where l is the total number of iterations, k is the current number of iterations, and the x optimized by the main problem is sub-problem as a known variable, w k , p k , l dc,k , l ac,k are after the kth iteration The optimization result of w, p, l dc and l ac in the sub-problem, y k is the optimization result of y in the sub-problem after the k-th iteration; η is the optimization variable related to the objective function value of the sub-problem.
步骤404):利用整数优化建模工具箱YALMIP调用求解器SCIP迭代求解步骤402)的子问题和步骤403)的主问题,获得交直流混合微网的鲁棒协调运行方式。YALMIP为公司出品的数学软件MATLAB中的整数优化建模工具箱。Step 404): Using the integer optimization modeling toolbox YALMIP to call the solver SCIP iteratively solve the sub-problem of step 402) and the main problem of step 403) to obtain a robust coordinated operation mode of the AC-DC hybrid microgrid. YALMIP is an integer optimization modeling toolbox in the company's mathematical software MATLAB.
本发明实施例的方法,针对交直流混合微网,考虑源荷不确定性提出了一种两阶段鲁棒优化调度模型及求解方法,第一阶段确定柴油发电机的启停和双向换流器的运行状态,第二阶段优化各设备单元的运行功率,利用列约束生成算法快速求解能够获得最恶劣场景下的最小运行费用及微网运行计划。The method of the embodiment of the invention proposes a two-stage robust optimization scheduling model and a solution method for the AC-DC hybrid micro-network, considering the source-load uncertainty, and the first stage determines the start-stop and the bidirectional converter of the diesel generator. The operating state, the second phase optimizes the operating power of each equipment unit, and uses the column constraint generation algorithm to quickly solve the minimum operating cost and micro-grid operation plan in the worst case scenario.
以上显示和描述了本发明的基本原理、主要特征和优点。本领域的技术人员应该了解,本发明不受上述具体实施例的限制,上述具体实施例和说明书中的描述只是为了进一步说明本发明的原理,在不脱离本发明精神和范围的前提下,本发明还会有各种变化和改进,这些变化和改进都落入要求保护的本发明范围内。本发明要求保护的范围由权利要求书及其等效物界定。The basic principles, main features and advantages of the present invention have been shown and described above. It should be understood by those skilled in the art that the present invention is not limited by the foregoing embodiments, and the description of the present invention and the description of the present invention are only intended to further illustrate the principles of the present invention without departing from the spirit and scope of the invention. There are various changes and modifications of the invention which fall within the scope of the invention as claimed. The scope of the invention is defined by the claims and their equivalents.
Claims (5)
- 一种交直流混合微网鲁棒优化协调调度方法,其特征在于,该方法包括以下步骤:A method for robust optimization coordinated scheduling of AC/DC hybrid microgrid, characterized in that the method comprises the following steps:步骤10)获取源荷预测数据,构建不确定性集;Step 10) acquiring source load prediction data and constructing an uncertainty set;步骤20)获取系统中各设备的运行成本系数,构建min-max-min形式的鲁棒优化调度模型的目标函数;Step 20) acquiring an operating cost coefficient of each device in the system, and constructing an objective function of a robust optimal scheduling model in the form of min-max-min;步骤30)获取系统中各设备的运行限值,建立min-max-min形式的鲁棒优化调度模型的约束条件;Step 30) Obtain an operation limit of each device in the system, and establish a constraint condition of a robust optimization scheduling model in the form of min-max-min;步骤40)求解鲁棒优化调度问题,即利用列约束生成算法求解鲁棒优化问题,获得交直流混合微网的鲁棒协调运行方式。Step 40) Solving the robust optimization scheduling problem, that is, using the column constraint generation algorithm to solve the robust optimization problem, and obtaining the robust coordinated operation mode of the AC-DC hybrid microgrid.
- 根据权利要求1所述的交直流混合微网鲁棒优化协调调度方法,其特征在于,所述步骤10)中,源荷预测数据为交直流混合微网中可再生能源出力及负荷的预测标称值、上下偏差值及时段预算参数,将所述源荷预测数据代入以下式(1)至式(4)中,即构建得到不确定性集:The method for robust optimization coordinated scheduling of an AC/DC hybrid microgrid according to claim 1, wherein in the step 10), the source-charge prediction data is a predictive indicator of the output and load of the renewable energy in the AC-DC hybrid microgrid. The weighing value, the upper and lower deviation value and the time period budget parameter are substituted into the following formulas (1) to (4), that is, the uncertainty set is constructed:式中,对于风机出力不确定性集W,w t、 分别是t时段风机最大可输出功率的实际值、预测标称值、预测上偏差值和预测下偏差值;Π w为风机出力不确定性的时段预算参数; 和 分别为风机出力不确定性的上偏差引入参数和下偏差引入参数;N t为一个调度周期总时段;P、L dc和L ac分别为光伏出力的不确定性集、直流负荷的不确定性集和交流负荷的不确定性集;p t、 分别是t时段光伏最大可输出功率的实际值、预测标称值、预测上偏差值和预测下偏差值;Π p为光伏出力不确定性的时段预算参数; 和 分别为光伏出力不确定性的上偏差引入参数和下偏差引入参数;l dc,t、 l -dc,t分别是t时段直流负荷最大功率的实际值、预测标称值、预测上偏差值和预测下偏差值;Π l,dc为直流负荷不确定性的时段预算参数; 和κ -dc,t分别为直 流负荷不确定性的上偏差引入参数和下偏差引入参数;l ac,t、 l -ac,t分别是t时段交流负荷最大功率的实际值、预测标称值、预测上偏差值和预测下偏差值;Π l,ac为交流负荷不确定性的时段预算参数; 和κ -ac,t分别为交流负荷不确定性的上偏差引入参数和下偏差引入参数。 In the formula, for the wind turbine output uncertainty set W, w t , They are the actual value of the maximum output power of the fan during the t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; Π w is the time period budget parameter of the fan output uncertainty; with The parameters are introduced for the upper deviation of the fan output uncertainty and the lower deviation is introduced; N t is the total time period of a scheduling period; P, L dc and L ac are the uncertainty set of the photovoltaic output and the uncertainty of the DC load, respectively. Uncertainty set of set and AC load; p t , They are the actual value of the maximum output power of PV in t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; Π p is the time period budget parameter of the photovoltaic output uncertainty; with Introducing parameters for the upper deviation of the uncertainty of photovoltaic output, and introducing the parameters for the lower deviation; l dc,t , l -dc,t are the actual value of the maximum power of the DC load in the t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; Π l, dc is the time period budget parameter of the DC load uncertainty; And κ -dc,t are the upper deviation introduction parameters and the lower deviation introduction parameters of DC load uncertainty; l ac,t , l -ac,t are the actual value of the maximum power of the AC load during the t period, the predicted nominal value, the predicted upper deviation value and the predicted lower deviation value; Π l, ac is the time period budget parameter of the AC load uncertainty; And κ -ac,t introduce parameters for the upper deviation of the AC load uncertainty and the lower deviation.
- 根据权利要求2所述的交直流混合微网鲁棒优化协调调度方法,其特征在于,所述步骤20)中,系统中各设备的运行成本系数包括与柴油发电机、储能、双向换流器、风机、光伏及交直流负荷相关的所有的运行成本系数,将运行成本系数代入以下式(5),即建立得到min-max-min形式的鲁棒优化调度模型的目标函数:The method for robust optimization coordinated scheduling of an AC/DC hybrid microgrid according to claim 2, wherein in the step 20), the operating cost coefficient of each device in the system includes a diesel generator, an energy storage, and a two-way commutation. All operating cost factors related to the load, fan, photovoltaic and AC and DC loads, the operating cost coefficient is substituted into the following formula (5), that is, the objective function of the robust optimal scheduling model in the form of min-max-min is established:式(5)中相关参数根据下式计算得到:The relevant parameters in equation (5) are calculated according to the following formula:式中, 和 分别为柴油发电机的启动成本和关停成本; 为柴油发电机的燃料成本; 和 分别为柴油发电机、储能、双向换流器、风机和光伏的运行维护成本; 为储能损耗成本; 为负荷切除停电惩罚成本, 和 分别为柴油发电机的启动和关停成本系数;I DE,t为t时段柴油发电机的启动标志位,1表示柴油发电机在t时段被启动,0表示柴油发电机在t时段未被启动;M DE,t为t时段柴油发电机的关停标志位,1表示柴油发电机在t时段被关停,0表示柴油发电机在t时段未被关停;U DE,t表示t时段柴油发电机的运行状态,取值为1时表示柴油发电机在t时段处于开机状态,取值为0时表示柴油发电机在t时段处于停机状态;U acdcBC,t是t时段双向换流器正向换流运行状态标志位,1表示t时段存在正向换流,0表示t时段不存在正向换流,U dcacBC,t是t时段双向换流器负向换流运行状态标志位,1表示t时段存在负向换流,0表示t时段不存在负向换流; 为柴油发电机的燃料成本系数;a DE和b DE 为柴油发电机的油耗特性成本系数;P DE,t为柴油发电机在t时段的运行功率; 为柴油发电机的额定功率;Δt为两时段的时间间隔; 和 分别为柴油发电机、储能、双向换流器、风机和光伏的运行维护成本系数; 为储能损耗成本系数; 为负荷切除停电惩罚成本系数;P chES,t和P disES,t分别为储能在t时段的充电功率和放电功率;P acdcBC,t为双向换流器在t时段从交流母线到直流母线的正向换流功率;P dcacBC,t为双向换流器在t时段从直流母线到交流母线的负向换流功率;P WT,t和P PV,t分别是风机和光伏在t时段的发电功率;P cut,acL,t和P cut,dcL,t分别表示t时段交流区被切除的负荷功率和直流区被切除的负荷功率;P tran,acL,t和P tran,dcL,t是t时段交流可调度负荷运行功率和直流可调度负荷运行功率。 In the formula, with The starting cost and shutdown cost of the diesel generator are respectively; The fuel cost for diesel generators; with The operation and maintenance costs of diesel generators, energy storage, bidirectional converters, fans and photovoltaics; Cost for energy storage; Punish the cost of power cuts, with They are the starting and shutting down cost coefficients of the diesel generators respectively; I DE, t is the starting sign of the diesel generator in the t period, 1 means that the diesel generator is started in the t period, 0 means the diesel generator is not started in the t period ;M DE,t is the shutdown flag of the diesel generator in the t period, 1 means that the diesel generator is shut down during the t period, 0 means that the diesel generator is not shut down during the t period; U DE,t represents the diesel fuel in the t period The running state of the generator, when the value is 1, indicates that the diesel generator is in the on state during the t period, and the value of 0 indicates that the diesel generator is in the stop state during the t period; U acdcBC, t is the t period bidirectional converter To the commutation operation status flag, 1 indicates that there is a forward commutation in the t period, 0 indicates that there is no forward commutation in the t period, U dcacBC, t is the t- zone bidirectional converter negative commutation operation status flag, 1 It means that there is a negative commutation in the t period, and 0 means that there is no negative commutation in the t period; The fuel cost coefficient of the diesel generator; a DE and b DE are the fuel consumption characteristic cost coefficients of the diesel generator; P DE,t is the operating power of the diesel generator during the t period; Is the rated power of the diesel generator; Δt is the time interval of two periods; with The operating and maintenance cost factors for diesel generators, energy storage, bidirectional converters, fans and photovoltaics; Cost coefficient for energy storage loss; The cost coefficient for the power cut-off penalty; P chES,t and P disES,t are the charging power and the discharging power of the energy storage in the t period respectively; P acdcBC,t is the bidirectional converter from the alternating current bus to the DC bus in the t period Forward commutating power; P dcacBC, t is the negative commutating power of the bidirectional converter from the DC bus to the AC bus during the t period; P WT, t and P PV, t are the power generation of the fan and photovoltaic respectively during the t period Power; P cut, acL, t and P cut, dcL, t respectively represent the load power of the AC zone cut off during the t period and the load power of the DC zone cut off; P tran, acL, t and P tran, dcL, t are t The time period communication can schedule the load operation power and the DC schedulable load operation power.
- 根据权利要求3所述的交直流混合微网鲁棒优化协调调度方法,其特征在于,所述步骤30)中,系统中各设备的运行限值为与柴油发电机、储能、双向换流器、风机、光伏及交直流负荷相关的所有的运行限值,将运行限值代入以下式(10)至式(22),即建立得到min-max-min形式的鲁棒优化调度模型的约束条件:The method for robust optimization coordinated scheduling of an AC/DC hybrid microgrid according to claim 3, wherein in the step 30), the operating limit of each device in the system is a diesel generator, an energy storage, and a two-way commutation. All operating limits related to the load, fan, photovoltaic and AC and DC loads, and the operating limits are substituted into the following equations (10) to (22), that is, the constraints of the robust optimal scheduling model in the form of min-max-min are established. condition:0≤P WT,t≤w t,0≤P PV,t≤p t (10) 0 ≤ P WT, t ≤ w t , 0 ≤ P PV, t ≤ p t (10)I DE,t+M DE,t≤1,I DE,t-M DE,t=U DE,t-U DE,t-1 (13) I DE,t +M DE,t ≤1,I DE,t -M DE,t =U DE,t -U DE,t-1 (13)式(10)为风机和光伏的发电功率约束;式(11)-(13)为柴油发电机的最小持续开机时间、最小持续关机时间和最大持续开机时间约束, 和 分别为柴油发电机的最小持续开机时段数限值、最小持续关机时段数限值和最大持续开机时段数限值;式(14)为柴油发电机运行功率上下限及爬坡速度约束, 和 为柴油发电机开机状态下运行功率的上限值和下限值, 和 为柴油发电机的单位时段内下爬坡和上爬坡的速率限值;式(15)为储能最大充放电功率约束, 和 为储能的最大充电和放电功率限值;式(16)为储能荷电状态约束,S min和S max为储能允许荷电状态的下限值和上限值,S(t)和S(t-1)为t和t-1时段储能的荷电状态,η C和η D为储能的充电和放电效率限值,S(0)为储能的初始荷电状态限值,S(N t)为储能在调度周期末的荷电状态限值;式(17)-(18)为双向换流器的换流功率及功率波动约束, 和 表示正向换流和负向换流的运行功率限值, 和 表示双向换流器在相邻时段功率波动的下限值和上限值;式(19)-(20)为各时段交直流被切除负荷和可调度负荷的运行功率、交直流可调度负荷用电量约束,P cut,ac,maxL,t和P cut,dc,maxL,t是t时段交流和直流最大的可切除负荷功率限值,P tran,ac,maxL,t和P tran,dc,maxL,t是t时段交流和直流可调度负荷的最大运行功率限值,[t ac,1,t ac,end]为交流可调度负荷的运行时段区间限值,[t dc,1,t dc,end]为直流可调度负荷的运行时段区间限值, 和 是交流和直流可调度负荷的计划用电量限值;式(21)-(22)为直流区和交流区的功率平衡约束, 和 为双向换流器的正向和负向换流效率限值。 Equation (10) is the power generation constraint of the fan and photovoltaic; the equations (11)-(13) are the minimum continuous startup time, minimum continuous shutdown time and maximum continuous startup time constraint of the diesel generator. with They are the minimum continuous start-up period limit of the diesel generator, the minimum continuous shutdown period limit and the maximum continuous start-up period limit; the formula (14) is the upper and lower limits of the diesel generator operating power and the climbing speed constraint. with For the upper and lower limits of the operating power of the diesel generator in the on state, with It is the rate limit for the downhill and uphill slopes of the diesel generator in the unit time period; the formula (15) is the maximum charge and discharge power constraint of the energy storage. with The maximum charge and discharge power limit for energy storage; Equation (16) is the energy storage state constraint, and S min and S max are the lower and upper limits of the energy storage allowable state, S(t) and S(t-1) is the state of charge of energy storage in the period t and t-1, η C and η D are the charging and discharging efficiency limits of energy storage, and S(0) is the initial state of charge of energy storage. , S(N t ) is the state of charge of the stored energy at the end of the scheduling period; equations (17)-(18) are the commutation power and power fluctuation constraints of the bidirectional converter. with Indicates the operating power limits for forward commutation and negative commutation, with The lower limit value and the upper limit value of the power fluctuation of the bidirectional converter in the adjacent time period; the equations (19)-(20) are the operating power of the AC and DC cut-off load and the schedulable load, and the AC-DC schedulable load for each time period. Power constraints, P cut, ac, maxL, t and P cut, dc, maxL, t are the maximum removable load power limits for AC and DC during t periods, P tran, ac, maxL, t and P tran, dc, maxL,t is the maximum operating power limit for AC and DC schedulable loads in t-period, [t ac,1 ,t ac,end ] is the operating time interval limit for AC schedulable loads, [t dc,1 ,t dc , end ] is the operating time interval limit of the DC schedulable load, with Is the planned power consumption limit for AC and DC schedulable loads; Equations (21)-(22) are power balance constraints for DC and AC zones, with The forward and negative commutation efficiency limits for the bidirectional converter.
- 根据权利要求4所述的交直流混合微网鲁棒优化协调调度方法,其特征在于,所述步骤40)的具体内容包括:The method of claim 4, wherein the specific content of the step 40) comprises:步骤401):将式(1)-(22)表示的min-max-min形式的鲁棒优化调度模型写成以下矩阵表示形式:Step 401): Write the robust optimal scheduling model in the form of min-max-min represented by equations (1)-(22) into the following matrix representation:s.t.A·x≤b,B·x=e,x∈{0,1} (24)s.t.A·x≤b, B·x=e,x∈{0,1} (24)D·y≤f,E·y=g, (25)D·y≤f, E·y=g, (25)F·y≤h-G·x, (26)F·y≤h-G·x, (26)J·y≤w,K·y≤p, (27)J·y≤w, K·y≤p, (27)M·y=l dc,N·y=l ac (28) M·y=l dc , N·y=l ac (28)式中,x为式(5)中第一阶段的0-1状态变量,y为第二阶段功率变量,w、p、l dc、l ac为第二阶段不确定性集变量的集合,c、d为该目标函数中的常数矩阵;式(24)表示仅 与x相关的约束条件,A、b、B、e均为该约束中的常数矩阵;式(25)表示仅与y相关的约束条件,D、f、E、g均为该约束中的常数矩阵;式(26)表示与x和y相关的约束条件,F、h、G均为该约束中的常数矩阵;式(27)表示与w,p和y相关的约束条件,J、w、K、p均为该约束中的常数矩阵;式(28)表示与l dc,l ac和y相关的约束条件,M、N均为该约束中的常数矩阵。 Where x is the 0-1 state variable of the first phase of equation (5), y is the second phase power variable, and w, p, l dc , l ac are the set of the second phase uncertainty set variables, c d is a constant matrix in the objective function; Equation (24) represents a constraint condition only related to x, A, b, B, and e are constant matrices in the constraint; Equation (25) represents only y related Constraints, D, f, E, g are the constant matrices in the constraint; Equation (26) represents the constraints associated with x and y, F, h, G are the constant matrices in the constraint; Represents constraints associated with w, p, and y, where J, w, K, and p are constant matrices in the constraint; Eq. (28) represents constraints associated with l dc , l ac , and y , M, N Both are constant matrices in this constraint.步骤402):基于步骤401)中矩阵表示形式的模型,利用列约束生成算法形成min-max-min形式的鲁棒优化调度模型的子问题如下所示:Step 402): Based on the model of the matrix representation in step 401), the sub-problem of the robust optimal scheduling model in the form of min-max-min using the column constraint generation algorithm is as follows:式中,α、β、χ、γ、ψ、μ dc和μ ac为式(25)-(28)中y的对偶变量。 Wherein α, β, χ, γ, ψ, μ dc and μ ac are the dual variables of y in the formulae (25)-(28).步骤403):基于步骤401)中矩阵表示形式的模型和步骤402)的子问题,利用列约束生成算法形成min-max-min形式的鲁棒优化调度模型的主问题如下所示:Step 403): Based on the model of the matrix representation in step 401) and the sub-problem of step 402), the main problem of using the column constraint generation algorithm to form the robust optimal scheduling model in the form of min-max-min is as follows:式中,l为总迭代次数,k为当前迭代次数,主问题优化出的x作为已知变量代入子问题,w k、p k、l dc,k、l ac,k为第k次迭代后子问题中w、p、l dc、l ac的优化结果,y k为第k次迭代后子问题中y的优化结果;η为与子问题目标函数值相关的优化变量。 Where l is the total number of iterations, k is the current number of iterations, and the x optimized by the main problem is sub-problem as a known variable, w k , p k , l dc,k , l ac,k are after the kth iteration The optimization result of w, p, l dc and l ac in the sub-problem, y k is the optimization result of y in the sub-problem after the k-th iteration; η is the optimization variable related to the objective function value of the sub-problem.步骤404):利用整数优化建模工具箱YALMIP调用求解器SCIP迭代求解步骤402)的子问题和步骤403)的主问题,获得交直流混合微网的鲁棒协调运行方式。Step 404): Using the integer optimization modeling toolbox YALMIP to call the solver SCIP iteratively solve the sub-problem of step 402) and the main problem of step 403) to obtain a robust coordinated operation mode of the AC-DC hybrid microgrid.
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CN112054554A (en) * | 2020-08-18 | 2020-12-08 | 国网山东省电力公司临沂供电公司 | Non-parameter statistics-based adaptive distribution robust unit combination method and system |
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