CN106208160B - The dispatching method of sale of electricity company region within the jurisdiction power distribution network based on second order cone optimization - Google Patents
The dispatching method of sale of electricity company region within the jurisdiction power distribution network based on second order cone optimization Download PDFInfo
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- CN106208160B CN106208160B CN201610599899.2A CN201610599899A CN106208160B CN 106208160 B CN106208160 B CN 106208160B CN 201610599899 A CN201610599899 A CN 201610599899A CN 106208160 B CN106208160 B CN 106208160B
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
- H02J3/48—Controlling the sharing of the in-phase component
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/008—Circuit arrangements for ac mains or ac distribution networks involving trading of energy or energy transmission rights
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J3/00—Circuit arrangements for ac mains or ac distribution networks
- H02J3/38—Arrangements for parallely feeding a single network by two or more generators, converters or transformers
- H02J3/46—Controlling of the sharing of output between the generators, converters, or transformers
- H02J3/50—Controlling the sharing of the out-of-phase component
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J2203/00—Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
- H02J2203/20—Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
Abstract
The invention discloses a kind of dispatching methods of the sale of electricity company region within the jurisdiction power distribution network based on second order cone optimization, including：Step 10）Establish sale of electricity company region within the jurisdiction power distribution network Optimal Operation Model；Step 20）Convert power distribution network Optimal Operation Model to second order cone Optimized model；Step 30）Second order cone Optimized model is solved, optimal scheduling result is obtained；Step 40）Utilize step 30）Obtained optimal scheduling result, optimal scheduling configuration is carried out to each adjustable device in the administrative power distribution network of sale of electricity company, determines controlled distribution formula power supply active reactive outputs, deferrable load, energy storage charge and discharge, static passive compensation device is idle output and the idle output of regenerative resource.This method brings Reactive Power Dispatch in the region within the jurisdiction power distribution network scheduling of sale of electricity company into, and carries out convex relaxation processes to trend constraint, makes it possible to accurately be solved with the method that second order cone optimizes, and effectively reduces sale of electricity company operating cost.
Description
Technical field
The invention belongs to power distribution network running optimizatin fields, are related to a kind of sale of electricity company region within the jurisdiction optimized based on second order cone
The dispatching method of power distribution network.
Background technology
Under the Power Market for matching, selling separation, sale of electricity company is faced with various uncertain problems, especially electricity price
And load fluctuation and distributed generation resource fast development and access power distribution network extensively, economical operation for sale of electricity company and
The safe operation of power distribution network causes larger impact.Therefore sale of electricity company optimizes scheduling to reduce fortune for administrative power distribution network
Row cost, and ensure that power system security stable operation is particularly important.Gas turbine, fuel cell in distributed generation resource
Equal outputs have good schedulability.In addition, power distribution network inside points load has certain tunable characteristic.Sale of electricity company is being joined
It can be matched simultaneously to reduce region within the jurisdiction by optimizing scheduling to distributed generation resource and deferrable load with electricity market power purchase
The operating cost of power grid.
For the Optimized Operation of sale of electricity company region within the jurisdiction power distribution network under Power Market, domestic and foreign scholars have carried out
Extensive research, but it is most of be all directed to active power dispatch, there is no the Reactive Power Dispatchs and trend constraint that consider power distribution network
Deng losing accurate.And the sale of electricity company Optimal Operation Model for considering Reactive Power Dispatch is substantially that MIXED INTEGER is non-convex non-linear
Plan model.Commercial at present and optimization software of increasing income is difficult accurately effectively to solve the problem.Therefore, as selling in electricity market
Electric main body, sale of electricity company there is an urgent need to propose more comprehensive Optimal Operation Model and more accurate model solution method,
The maximization of number one is realized while ensureing system safe and stable operation.
Invention content
Technical problem：An embodiment of the present invention provides a kind of sale of electricity company region within the jurisdiction power distribution networks based on second order cone optimization
Dispatching method, this method brings Reactive Power Dispatch during sale of electricity company region within the jurisdiction power distribution network dispatches into, by the trend of power distribution network
Constraint is considered in scheduling model, and is carried out convex relaxation processes to trend constraint and made it possible to be carried out with the method that second order cone optimizes
It is accurate to solve, further effectively reduce sale of electricity company operating cost.
Technical solution：In order to solve the above technical problems, the embodiment of the present invention is using a kind of sale of electricity based on second order cone optimization
The dispatching method of company's region within the jurisdiction power distribution network, the dispatching method include the following steps：
Step 10) establishes sale of electricity company region within the jurisdiction power distribution network Optimal Operation Model, and the model is with sale of electricity company whole day
The minimum optimization aim of operating cost is constrained, directly with trend constraint, controlled distribution formula power supply operation constraint, interruptible load
Spatial load forecasting runs constraint, the constraint of power distribution network operational safety, the constraint of distribution transforming critical point power constraint, storage energy operation, static var compensation
It repays device SVC constraints and renewable energy power generation is constrained to constraints；
Step 20) converts power distribution network Optimal Operation Model to second order cone Optimized model；
Step 30) solves second order cone Optimized model, obtains optimal scheduling result；
The optimal scheduling that step 40) is obtained using step 30) is as a result, to each adjustable device in the administrative power distribution network of sale of electricity company
Optimal scheduling configuration is carried out, determines controlled distribution formula power supply active reactive output, deferrable load, energy storage charge and discharge, static reacance
Compensation device is idle output and the idle output of regenerative resource.
As preference, in the step 10), shown in optimization aim such as formula (1)：
In formula：F is the totle drilling cost of sale of electricity company operation；Δ T is time interval；T is dispatching cycle；ρtIt it is the t periods from electricity
The purchase electricity price in power market；Pg,tIt it is the t periods from the purchase of electricity of electricity market；M is the controlled distribution formula power supply accessed in power distribution network
Quantity；biFor the output cost Monomial coefficient of i-th controlled distribution formula power supply；ciFor the output of i-th controlled distribution formula power supply
Cost constant term coefficient；The active power sent out in the t periods for i-th controlled distribution formula power supply；N be power distribution network in can in
The quantity of disconnected load user；The t periods of compensation for to(for) interruptible load user's j interruptible loads；It can be interrupted for j-th
Load rejection amount of the load user in the t periods；K is the quantity that direct load controls user in power distribution network；For the t periods for
Direct load control user k receives the compensation of spatial load forecasting；It is controlled in the t periods that user is controlled for k-th of direct load
Load.
As preference, in the step 10), shown in trend constraint such as formula (2)：
In formula：For the active power on t period branches ij, k:(j, k) is indicated using node j as the endpoint node of first node
Set,For the active power on t period branches jk, rijFor the resistance of branch ij,For the line current of t period branches ij,For the injection value only of the active power at t period nodes j,For the reactive power on t period branches ij,For t period branches
Reactive power on jk, xijFor the reactance of branch ij,For the injection value only of the reactive power at t period nodes j,For the t periods
Load active power on node j,For the energy storage charge power connected on t period nodes j,To connect on t period nodes j
The energy storage discharge power connect,The active power sent out for the controlled distribution formula power supply connected on t period nodes j；For t when
The photovoltaic active power connected on Duan Jiedian j；For the burden with power amount interrupted on t period nodes j；For t period nodes j
The direct load of upper connection controls the load controlled；For the payback load on t period nodes j；For the t periods
The reactive load power of point j；Static passive compensation device to be connected on t period nodes j compensates power；For the t periods
The reactive power that the controlled distribution formula power supply connected on node j is sent out；For the idle work(of photovoltaic connected on t period nodes j
Rate；For the load or burden without work amount interrupted on t period nodes j；For the voltage magnitude of t period nodes j, Vi tFor t period node is
Voltage magnitude；
The interruptible load constraint is as shown in formula (3)：
In formula：For the upper limit value of j-th of interruptible load；For the power-factor angle of interruptible load；
The power distribution network operational safety constraint is as shown in formula (4)：
In formula：Vi minFor node i voltage magnitude lower limit；Vi maxFor the node i voltage magnitude upper limit,For branch ij electric current width
It is worth the upper limit；
Shown in the distribution transforming critical point power constraint such as formula (5)：
In formula：The active power of this grade of power distribution network is flowed into from higher level's power transmission network for t periods root node,For in regulation and control
The active power of heart setting exchanges the upper bound,Active power for the setting of regulation and control center exchanges lower bound, Q0 tFor t period root nodes
The reactive power of this grade of power distribution network is flowed into from higher level's power transmission network,To regulate and control the reactive power exchange lower bound of center setting,
For the reactive power exchange upper bound of regulation and control center setting；
The static passive compensation device SVC is constrained as shown in formula (6)：
In formula：For the upper limit value of static passive compensation device regulating power,For static passive compensation device
The lower limiting value of regulating power.
As preference, in the step 10), the operation constraint of controlled distribution formula power supply includes that controlled distribution formula power supply is contributed
Bound constraint, controlled distribution formula power supply ramping rate constraints and controlled distribution formula power supply start-off time constraints；
The controlled distribution formula power supply output bound constraint is as shown in formula (7)：
In formula：Ci,tState for i-th controlled distribution formula power supply in the t periods is 0-1 variables；Pi maxIt is controllable for i-th
The active output power upper limit of distributed generation resource, Pi minFor i-th active output power lower limit of controlled distribution formula power supply,It is i-th
The output power upper limit that platform controlled distribution formula power supply is idle,For i-th idle output power lower limit of controlled distribution formula power supply；For the active power that i-th controlled distribution formula power supply of t periods is sent out,For i-th controlled distribution formula power supply hair of t periods
The reactive power gone out；
Shown in the controlled distribution formula power supply ramping rate constraints such as formula (8)：
In formula：The active power sent out in the t+1 periods for i-th controlled distribution formula power supply；Rup,iIt is controllable for i-th
The upward climbing rate limit of distributed generation resource；Rdown,iFor the downward creep speed limitation of i-th controlled distribution formula power supply；
Shown in the controlled distribution formula power supply start-off time constraints such as formula (9)：
In formula：Ci,mIt is i-th controlled distribution formula power supply in the state of m periods, Ci,tExist for i-th controlled distribution formula power supply
The state of t periods, Ci,t-1It is i-th controlled distribution formula power supply in the state of t-1 periods, Ci,nFor i-th controlled distribution formula power supply
In the state of n periods；Hop count when m and n indicate a certain, T are dispatching cycle,For opening for i-th controlled distribution formula power supply
Minimum run time after machine,For minimum idle time after the shutdown of i-th controlled distribution formula power supply.
As preference, in the step 10), direct load control operation constraint include spatial load forecasting time-constrain,
Spatial load forecasting capacity-constrained, the constraint of load controllable period of time and payback load constraint；
Shown in the spatial load forecasting time-constrain such as formula (10)：
In formula：Xk,tThe 0-1 state variables whether user is controlled are controlled for k-th of direct load of t periods, 1 indicates controlled
System, 0 indicates not controlled；The continuous controllable period of time of maximum of user is controlled for k-th of direct load；T0Indicate T dispatching cycle
WithWhen intersegmental minimum value, Xk,lThe 0-1 states whether user is controlled are controlled for k-th of direct load of l periods to become
Amount, Xk,t-1The 0-1 state variables whether user is controlled are controlled for k-th of direct load of t-1 periods,Directly for k-th
The spatial load forecasting user minimum continuous uncontrolled time；
Shown in the spatial load forecasting capacity-constrained such as formula (11)：
In formula：The load that user is controlled is controlled for k-th of direct load of t periods,Directly for k-th
The control capability upper limit of spatial load forecasting user；
The controlled period constraint of load is as shown in formula (12)：
In formula：S is the period for taking direct load control measure；
The payback load constraint is as shown in formula (13)：
In formula：The payback load of user is controlled for k-th of direct load of t periods,For k-th of direct load control
Controlled-load of the user processed in the t-1 periods,Controlled-load of the user in the t-2 periods is controlled for k-th of direct load,
Controlled-load of the user in the t-3 periods is controlled for k-th of direct load, α is the first coefficient of corresponding period, and β is the corresponding period
The second coefficient, γ is the third coefficient of corresponding period.
As preference, in the step 10), energy storage device operation constraint includes that capacity of energy storing device constrains and energy storage
Charge-discharge electric power constrains；
The capacity of energy storing device constraint is as shown in formula (14)：
In formula,Gross energy for the energy storage connected in t period node is,For the energy storage connected in t period node is
Charge power, ηchFor the charge efficiency of energy storage,For the energy storage discharge power connected in t period node is, ηdisFor putting for energy storage
Electrical efficiency,Gross energy for the energy storage connected in t+1 period node is, Δ T are time interval,For in T period node is
The gross energy of the energy storage of connection,For the energy storage charge power connected in T period node is,To be connected in T period node is
Energy storage discharge power,Gross energy for the energy storage connected in the 1st period node i,For the energy storage connected in node i
Capacity limit value；
The energy storage charge-discharge electric power is constrained as shown in formula (15)：
In formula,The charge power upper limit for the energy storage device connected in node i,To be connected in t moment node i
Energy storage device charged state, be 0-1 variables,Indicate that connection energy storage device is in charged state in t moment node i,Indicate that connection energy storage device is not in charged state in t moment node i；For the energy storage device that is connected in node i
The discharge power upper limit,Discharge condition for the energy storage device connected in t moment node i is 0-1 variables,Indicate t
Energy storage device is connected in moment node i is in discharge condition,Indicate that connection energy storage device is not in t moment node i
Discharge condition.
As preference, in the step 10), renewable energy power generation constraint includes photovoltaic generation operation constraint, photovoltaic
Generator operation is constrained as shown in formula (16)：
In formula：For the photovoltaic active power connected on t period nodes j,To be connected to the photovoltaic on node j in t
The predicted value of period active power output；For the photovoltaic reactive power connected on t period nodes j,For the idle of corresponding photovoltaic
Output predicted value；For the power-factor angle of photovoltaic.
As preference, the step 20) specifically includes following steps：
Convex relaxation is carried out firstly for trend constraint, as shown in formula (17)：
Then it introduces shown in new variables such as formula (18) and formula (19)：
vi:=| Vi t|2Formula (18)
Trend constraint is converted, as shown in formula (20)：
Formula (18) and formula (19) are substituted into formula (17), and do equivalent variations, obtains formula (21)：
Advantageous effect：Compared with prior art, the embodiment of the present invention has the advantages that：
Existing sale of electricity company dispatching method mostly just for electricity market purchase of electricity, distributed generation resource active power output and
Deferrable load carries out active power dispatch, does not consider that reactive power flowing and power flow changing are for system interior joint electricity in power distribution network
The influence of the indexs such as pressure, power factor, while can reduce network damage by adjusting the distribution of reactive power in administrative power distribution network
Consumption further decreases the operating cost of sale of electricity company, promotes the economic benefit of sale of electricity company.The embodiment of the present invention is from sale of electricity company
The economy and safety perspective of scheduling are set out, and the idle control constraints of the trend constraint of power distribution network and each controllable means are received
Enter into sale of electricity company region within the jurisdiction power distribution network scheduling model.In view of this model is that the non-convex Non-Linear Programming of MIXED INTEGER is asked
Topic, commercial at present and optimization software of increasing income are difficult accurately effectively to solve the problem, and the embodiment of the present invention is based on second order cone optimization reason
By, it is translated into the second order cone Optimized model convenient for solving, the accurate solution of implementation model, and obtained by model solution
Optimal scheduling result is contributed to configure distributed generation resource active reactive in sale of electricity company region within the jurisdiction power distribution network, deferrable load, storage
The idle output of energy charge and discharge, output that SVC is idle and regenerative resource, is ensureing the same of regional distribution network safe and stable operation
Shi Shixian sales of electricity company operating cost minimizes.The embodiment of the present invention compares traditional sale of electricity company dispatching method more fully,
Rationally, accurately, and in terms of reducing sale of electricity company operating cost effect is more preferable, is the economy of sale of electricity company under Power Market
Safe operation provides certain basis.
Description of the drawings
Fig. 1 is the method flow schematic diagram of the present invention.
Fig. 2 is modified IEEE33 distribution systems.
Fig. 3 is day preload and photovoltaic curve.
Fig. 4 contributes for controlled distribution formula power supply.
Fig. 5 is to implement the front and back load variations curve of direct load control.
Fig. 6 is sale of electricity company purchase of electricity change curve.
Fig. 7 is the maximum voltage deviation at regional distribution network each moment.
Specific implementation mode
In order to make the purpose , technical scheme and advantage of the present invention be clearer, below in conjunction with attached drawing and case study on implementation
The present invention is in depth described in detail.It should be appreciated that specific implementation case described herein is only used to explain this hair
It is bright, it is not used to limit invention.
Fig. 1 is the method flow schematic diagram of the embodiment of the present invention, describes the method basic step of the present invention.
Itd is proposed sale of electricity company is described in detail using modified IEEE33 Node power distribution systems for the embodiment of the present invention
Region within the jurisdiction power distribution network dispatching method.As shown in Fig. 2, which is radial networks, and working voltage grade is 12.66kV,
Total burden with power is 3635kW, and total load or burden without work is 2265kvar.SVC is accessed in the node 22,25 of system, node 16,33 connects
Enter energy storage device, node 24,25 is connected to interruptible load and DLC respectively, and node 18,31 accesses photovoltaic system, node 7 and node
21 two controlled distribution formula power supplys of access.
As shown in Figure 1, the scheduling of the sale of electricity company region within the jurisdiction power distribution network based on second order cone optimization of the embodiment of the present invention
Method includes the following steps：
Step 10) establishes sale of electricity company region within the jurisdiction power distribution network Optimal Operation Model, and the model is with sale of electricity company whole day
The minimum optimization aim of operating cost, (in text referred to as with trend constraint, controlled distribution formula power supply operation constraint, interruptible load：
IL) constraint, direct load control (in text referred to as：DLC constraint, the constraint of power distribution network operational safety, distribution transforming critical point power) are run about
Beam, storage energy operation constraint, static passive compensation device SVC constraints and renewable energy power generation are constrained to constraints.
Step 20) converts power distribution network Optimal Operation Model to second order cone Optimized model.
Step 30) solves second order cone Optimized model, obtains optimal scheduling result.
The optimal scheduling that step 40) is obtained using step 30) is as a result, to each adjustable device in the administrative power distribution network of sale of electricity company
Optimal scheduling configuration is carried out, determines controlled distribution formula power supply active reactive output, deferrable load, energy storage charge and discharge, static reacance
Compensation device is (in text referred to as：SVC) idle output and the idle output of regenerative resource.
In above-described embodiment, in the step 10), shown in optimization aim such as formula (1)：
In formula：F is the totle drilling cost of sale of electricity company operation；Δ T is time interval, and as preference, Δ T can be set as 15min；
T is dispatching cycle；ρtIt it is the t periods from the purchase electricity price of electricity market；Pg,tIt it is the t periods from the purchase of electricity of electricity market；M be with
The controlled distribution formula number of power sources accessed in power grid；biFor the output cost Monomial coefficient of i-th controlled distribution formula power supply；ci
For the output cost constant term coefficient of i-th controlled distribution formula power supply；It is sent out in the t periods for i-th controlled distribution formula power supply
The active power gone out；N is the quantity of interruptible load user in power distribution network；It it is the t periods in interruptible load user j
The compensation of disconnected load；For j-th of interruptible load user the t periods load rejection amount；K is direct load in power distribution network
Control the quantity of user；The compensation that user k receives spatial load forecasting is controlled for direct load for the t periods；It is k-th
Direct load controls user's load controlled in the t periods.
Shown in trend constraint such as formula (2)：
In formula：For the active power on t period branches ij, k:(j, k) is indicated using node j as the endpoint node of first node
Set,For the active power on t period branches jk, rijFor the resistance of branch ij,For the line current of t period branches ij,For the injection value only of the active power at t period nodes j,For the reactive power on t period branches ij,For t period branches
Reactive power on jk, xijFor the reactance of branch ij,For the injection value only of the reactive power at t period nodes j,For the t periods
Load active power on node j,For the energy storage charge power connected on t period nodes j,To connect on t period nodes j
The energy storage discharge power connect,The active power sent out for the controlled distribution formula power supply connected on t period nodes j；For t when
The photovoltaic active power connected on Duan Jiedian j；For the burden with power amount interrupted on t period nodes j；For t period nodes j
The direct load of upper connection controls the load controlled；For the payback load on t period nodes j；For the t periods
The reactive load power of point j；Static passive compensation device to be connected on t period nodes j compensates power；For the t periods
The reactive power that the controlled distribution formula power supply connected on node j is sent out；For the idle work(of photovoltaic connected on t period nodes j
Rate；For the load or burden without work amount interrupted on t period nodes j；For the voltage magnitude of t period nodes j, Vi tFor t period node is
Voltage magnitude；
The interruptible load constraint is as shown in formula (3)：
In formula：For the upper limit value of j-th of interruptible load；For the power-factor angle of interruptible load；
The power distribution network operational safety constraint is as shown in formula (4)：
In formula：Vi minFor node i voltage magnitude lower limit；Vi maxFor the node i voltage magnitude upper limit,For branch ij electric current width
It is worth the upper limit.As preference, node voltage amplitude lower limit is set as 0.9p.u., and the node voltage amplitude upper limit is set as 1.1p.u., i.e.,
The voltage deviation threshold value of system safety operation is 0.1p.u..
Shown in the distribution transforming critical point power constraint such as formula (5)：
In formula：The active power of this grade of power distribution network is flowed into from higher level's power transmission network for t periods root node,For in regulation and control
The active power of heart setting exchanges the upper bound,Active power for the setting of regulation and control center exchanges lower bound, Q0 tFor t period root nodes
The reactive power of this grade of power distribution network is flowed into from higher level's power transmission network,To regulate and control the reactive power exchange lower bound of center setting,
For the reactive power exchange upper bound of regulation and control center setting.The constraint be by distribution transforming critical point power control in a certain range, purpose
It is to inhibit the power swing of active power distribution network to adversely affect power transmission network.
The static passive compensation device SVC is constrained as shown in formula (6)：
In formula：For the upper limit value of static passive compensation device regulating power,For static passive compensation device
The lower limiting value of regulating power.
In step 10), it includes the constraint of controlled distribution formula power supply output bound that the operation of controlled distribution formula power supply, which constrains, can
Control distributed generation resource ramping rate constraints and controlled distribution formula power supply start-off time constraints.Specifically：
The controlled distribution formula power supply output bound constraint is as shown in formula (7)：
In formula：Ci,tState for i-th controlled distribution formula power supply in the t periods is 0-1 variables；Pi maxIt is controllable for i-th
The active output power upper limit of distributed generation resource, Pi minFor i-th active output power lower limit of controlled distribution formula power supply,It is i-th
The output power upper limit that platform controlled distribution formula power supply is idle,For i-th idle output power lower limit of controlled distribution formula power supply；For the active power that i-th controlled distribution formula power supply of t periods is sent out,For i-th controlled distribution formula power supply hair of t periods
The reactive power gone out.
Shown in the controlled distribution formula power supply ramping rate constraints such as formula (8)：
In formula：The active power sent out in the t+1 periods for i-th controlled distribution formula power supply；Rup,iIt is controllable for i-th
The upward climbing rate limit of distributed generation resource；Rdown,iFor the downward creep speed limitation of i-th controlled distribution formula power supply.
Shown in the controlled distribution formula power supply start-off time constraints such as formula (9)：
In formula：Ci,mIt is i-th controlled distribution formula power supply in the state of m periods, Ci,tExist for i-th controlled distribution formula power supply
The state of t periods, Ci,t-1It is i-th controlled distribution formula power supply in the state of t-1 periods, Ci,nFor i-th controlled distribution formula power supply
In the state of n periods；Hop count when m and n indicate a certain, T are dispatching cycle,For opening for i-th controlled distribution formula power supply
Minimum run time after machine,For minimum idle time after the shutdown of i-th controlled distribution formula power supply.
In step 10), direct load control operation constraint include spatial load forecasting time-constrain, spatial load forecasting capacity about
Beam, the constraint of load controllable period of time and payback load constraint.
Shown in the spatial load forecasting time-constrain such as formula (10)：
In formula：Xk,tThe 0-1 state variables whether user is controlled are controlled for k-th of direct load of t periods, 1 indicates controlled
System, 0 indicates not controlled；The continuous controllable period of time of maximum of user is controlled for k-th of direct load；T0Indicate T dispatching cycle
WithWhen intersegmental minimum value, Xk,lThe 0-1 states whether user is controlled are controlled for k-th of direct load of l periods to become
Amount, Xk,t-1The 0-1 state variables whether user is controlled are controlled for k-th of direct load of t-1 periods,Directly for k-th
The spatial load forecasting user minimum continuous uncontrolled time.It cannot in order to ensure the satisfaction and comfort level of user for controlled-load
Its long-time is controlled, can not again be controlled it within the short time after finishing control, it is therefore necessary to it
Apply the continuous controllable period of time of longest and minimum continuous uncontrolled time-constrain.
Shown in the spatial load forecasting capacity-constrained such as formula (11)：
In formula：The load that user is controlled is controlled for k-th of direct load of t periods,Directly for k-th
The control capability upper limit of spatial load forecasting user.
The controlled period constraint of load is as shown in formula (12)：
In formula：S is the period for taking direct load control measure.DLC is the measure taken at system peak, therefore
A controlled period constraint need to be added, direct load control can be just taken within the period.
Direct load control is mainly directed towards the load with hot energy storage capacity, generally air-conditioning and water heater, is being born
After lotus control, for the state before keeping the recoveries such as environment controlled, user can increase electricity consumption after control, therefore carry out
When direct load controls Optimization Modeling, the influence for considering payback load is needed.The payback load constraint is as shown in formula (13)：
In formula：The payback load of user is controlled for k-th of direct load of t periods,For k-th of direct load control
Controlled-load of the user processed in the t-1 periods,Controlled-load of the user in the t-2 periods is controlled for k-th of direct load,
Controlled-load of the user in the t-3 periods is controlled for k-th of direct load, α is the first coefficient of corresponding period, and β is the corresponding period
The second coefficient, γ is the third coefficient of corresponding period.
In step 10), energy storage device operation constraint includes capacity of energy storing device constraint and the constraint of energy storage charge-discharge electric power.
The capacity of energy storing device constraint is as shown in formula (14)：
In formula,Gross energy for the energy storage connected in t period node is,For the energy storage connected in t period node is
Charge power, ηchFor the charge efficiency of energy storage,For the energy storage discharge power connected in t period node is, ηdisFor energy storage
Discharging efficiency,Gross energy for the energy storage connected in t+1 period node is, Δ T are time interval,For T period node is
The gross energy of the energy storage of upper connection,For the energy storage charge power connected in T period node is,To connect in T period node is
The energy storage discharge power connect,Gross energy for the energy storage connected in the 1st period node i,For the storage connected in node i
It can capacity limit value.In order to ensure energy storage control characteristic having the same within new dispatching cycle, beginning this week of energy storage is begun
Capacity Ebati,1With the initial E of next cyclebati,T+1Capacity setting is equal, to ensure the working efficiency and service life of energy storage,
Its electricity use scope is set 20%~90%.
The energy storage charge-discharge electric power is constrained as shown in formula (15)：
In formula,The charge power upper limit for the energy storage device connected in node i,To be connected in t moment node i
Energy storage device charged state, be 0-1 variables,Indicate that connection energy storage device is in charged state in t moment node i,Indicate that connection energy storage device is not in charged state in t moment node i；For the energy storage device that is connected in node i
The discharge power upper limit,Discharge condition for the energy storage device connected in t moment node i is 0-1 variables,Indicate t
Energy storage device is connected in moment node i is in discharge condition,Indicate that connection energy storage device is not in t moment node i
Discharge condition.The constraint can guarantee energy storage device not will produce not only charged while but also electric discharge the infeasible situation of physics.
In step 10), renewable energy power generation is constrained to photovoltaic generation operation constraint, and photovoltaic generation operation constraint is such as formula
(16) shown in：
In formula：For the photovoltaic active power connected on t period nodes j,To be connected to the photovoltaic on node j in t
The predicted value of period active power output；For the photovoltaic reactive power connected on t period nodes j,For the idle of corresponding photovoltaic
Output predicted value；For the power-factor angle of photovoltaic.
In above-mentioned sale of electricity company region within the jurisdiction power distribution network Optimal Operation Model, trend constraint is non-linear, non-convex, is given
The solution of model brings problem, therefore in embodiments of the present invention, carries out cone conversion to trend constraint, scheduling model is made to convert
For convenience of the second order cone optimization problem of solution.Step 20) specifically includes following steps：
Convex relaxation is carried out firstly for trend constraint, as shown in formula (17)：
Then it introduces shown in new variables such as formula (18) and formula (19)：
vi:=| Vi t|2Formula (18)
Trend constraint is converted, as shown in formula (20)：
Formula (18) and formula (19) are substituted into formula (17), and do equivalent variations, obtains formula (21)：
After above-mentioned processing, scheduling model is already one when not considering the constraint of the variables such as distributed generation resource, energy storage
A second order cone optimization problem, can also since by trend, this non-convex constraint has carried out convexification after adding integer variable
Using ripe business software, such as Cplex, Mosek etc. ensures the computational efficiency and optimality of solution.
The present invention is matched using optimal scheduling as a result, carrying out optimal scheduling to each adjustable device in the administrative power distribution network of sale of electricity company
It sets, determines that controlled distribution formula power supply active reactive is contributed, deferrable load, energy storage charge and discharge, SVC is idle output and renewable energy
The operation plan for output that source is idle is ensureing regional distribution network safe and stable operation while realizing that sale of electricity company operating cost is minimum
Change.The present invention adds reactive power scheduling model in the Optimal Operation Model of sale of electricity company region within the jurisdiction power distribution network, comprehensive
Consider power distribution network safe operation constraint, and introduce the nonconvex property that second order cone optimum theory solves scheduling model, accurately solves sale of electricity
Company's scheduling model effectively reduces sale of electricity company operating cost, realizes the maximization of sale of electricity company operation income.
The embodiment of the present invention expands load data according to daily load curve, i.e., by the load in primary standard example
As the value at a certain moment on load curve, the value at other moment accordingly calculates in proportion.Load curve and photovoltaic generation a few days ago
Power curve is as shown in figure 3, primary standard example corresponds to 15：Load data when 00.
The present embodiment, which is unwrapped under Matlab environment using Mosek algorithms, sends out the region within the jurisdiction distribution network optimization of sale of electricity company above-mentioned
Change scheduling model, optimize controlled distribution formula power supply contribute it is as shown in Figure 4.The DLC being connected on node 24 implements front and back load and becomes
Change curve as shown in figure 5, sale of electricity company purchase of electricity change curve is as shown in Figure 6.For interruptible load, Optimized Operation result
For：14:30-16:It is interrupted in 00 period.Refer in Fig. 5 and Fig. 6, before optimization do not carry out this patent method carry out it is excellent
The case where before change.It refer to the situation after being optimized using the method for this patent after optimization.
The distributed generation resource in sale of electricity company region within the jurisdiction power distribution network, deferrable load, storage are configured according to above-mentioned scheduling result
The adjustable devices such as energy and SVC, it is 2384 $ to obtain sale of electricity company operating cost.Sale of electricity company optimization before operating cost be
2418 $, and if only the active power dispatch of consideration sale of electricity company region within the jurisdiction power distribution network, operating cost are 2395 $.The relatively more above knot
Fruit, it can be seen that use sale of electricity company region within the jurisdiction power distribution network Optimized model proposed by the invention, sale of electricity company it is total run at
This minimum, economical operation benefit are best.
In above-described embodiment, after method using the present invention optimizes scheduling, each moment regional distribution network is obtained most
Big voltage deviation is as shown in Figure 7.As can be seen from Figure 7：Maximum voltage deviation is less than 0.09p.u..Any time regional distribution network
Voltage deviation in secure threshold.This illustrate dispatching method used in the embodiment of the present invention reduce the operation of sale of electricity company at
This while, also ensures the safe and stable operation of region within the jurisdiction power distribution network.It can be seen that the base that the embodiment of the present invention is proposed
In the sale of electricity company region within the jurisdiction power distribution network dispatching method of second order cone optimization, it is administrative to bring idle work optimization model into sale of electricity company
In regional distribution network scheduling model, pass through the active reactive optimization to the adjustable devices such as deferrable load and controlled distribution formula power supply
Scheduling, further can effectively reduce the operating cost of sale of electricity company, while ensureing regional distribution network safe and stable operation
Realize the maximization of sale of electricity company on-road efficiency.
Claims (7)
1. a kind of dispatching method of the sale of electricity company region within the jurisdiction power distribution network based on second order cone optimization, which is characterized in that the scheduling
Method includes the following steps：
Step 10) establishes sale of electricity company region within the jurisdiction power distribution network Optimal Operation Model, and the model is with the 24 hour operation of sale of electricity company
The minimum optimization aim of cost, with trend constraint, controlled distribution formula power supply operation constraint, interruptible load constraint, direct load
Control operation constraint, the constraint of power distribution network operational safety, the constraint of distribution transforming critical point power constraint, storage energy operation, static reactive dress
It sets SVC constraints and renewable energy power generation is constrained to constraints；
In the step 10), the operation constraint of controlled distribution formula power supply includes that controlled distribution formula power supply output bound constrains, is controllable
Distributed generation resource ramping rate constraints and controlled distribution formula power supply start-off time constraints；
The controlled distribution formula power supply output bound constraint is as shown in formula (7)：
In formula：Ci,tState for i-th controlled distribution formula power supply in the t periods is 0-1 variables；Pi maxFor i-th controlled distribution formula
The active output power upper limit of power supply, Pi minFor i-th active output power lower limit of controlled distribution formula power supply,It is controllable for i-th
The output power upper limit that distributed generation resource is idle,For i-th idle output power lower limit of controlled distribution formula power supply；For t when
The active power that i-th controlled distribution formula power supply of section is sent out,It is sent out for i-th controlled distribution formula power supply of t periods idle
Power；
Shown in the controlled distribution formula power supply ramping rate constraints such as formula (8)：
In formula：The active power sent out in the t+1 periods for i-th controlled distribution formula power supply；Rup,iFor i-th controlled distribution
The upward climbing rate limit of formula power supply；Rdown,iFor the downward creep speed limitation of i-th controlled distribution formula power supply；
Shown in the controlled distribution formula power supply start-off time constraints such as formula (9)：
In formula：Ci,mIt is i-th controlled distribution formula power supply in the state of m periods, Ci,tIt is i-th controlled distribution formula power supply in t
The state of section, Ci,t-1It is i-th controlled distribution formula power supply in the state of t-1 periods, Ci,nIt is i-th controlled distribution formula power supply in n
The state of period；Hop count when m and n indicate a certain, T are dispatching cycle,After booting for i-th controlled distribution formula power supply
Minimum run time,For minimum idle time after the shutdown of i-th controlled distribution formula power supply；
Step 20) converts power distribution network Optimal Operation Model to second order cone Optimized model；
Step 30) solves second order cone Optimized model, obtains optimal scheduling result；
The optimal scheduling that step 40) is obtained using step 30) is as a result, carry out each adjustable device in the administrative power distribution network of sale of electricity company
Optimal scheduling configures, and determines controlled distribution formula power supply active reactive output, deferrable load, energy storage charge and discharge, static reactive
Device is idle output and the idle output of regenerative resource.
2. the dispatching method of the sale of electricity company region within the jurisdiction power distribution network according to claim 1 based on second order cone optimization,
It is characterized in that, in the step 10), shown in optimization aim such as formula (1)：
In formula：F is the totle drilling cost of sale of electricity company operation；Δ T is time interval；T is dispatching cycle；ρtIt it is the t periods from electricity market
Purchase electricity price；Pg,tIt it is the t periods from the purchase of electricity of electricity market；M is the controlled distribution formula number of power sources accessed in power distribution network；
biFor the output cost Monomial coefficient of i-th controlled distribution formula power supply；ciFor the output cost of i-th controlled distribution formula power supply
Constant term coefficient；The active power sent out in the t periods for i-th controlled distribution formula power supply；N is negative for that can be interrupted in power distribution network
The quantity of lotus user；The t periods of compensation for to(for) interruptible load user's j interruptible loads；For j-th of interruptible load
Load rejection amount of the user in the t periods；K is the quantity that direct load controls user in power distribution network；It it is the t periods for direct
Spatial load forecasting user k receives the compensation of spatial load forecasting；User's load controlled in the t periods is controlled for k-th of direct load
Amount.
3. the sale of electricity company region within the jurisdiction power distribution network dispatching method according to claim 1 based on second order cone optimization, special
Sign is, in the step 10), shown in trend constraint such as formula (2)：
In formula：For the active power on t period branches ij, k:(j, k) is indicated using node j as the end segment point set of first node
It closes,For the active power on t period branches jk, rijFor the resistance of branch ij,For the line current of t period branches ij,
For the injection value only of the active power at t period nodes j,For the reactive power on t period branches ij,For t period branches jk
On reactive power, xijFor the reactance of branch ij,For the injection value only of the reactive power at t period nodes j,For the t periods
Load active power on point j,For the energy storage charge power connected on t period nodes j,To be connected on t period nodes j
Energy storage discharge power,The active power sent out for the controlled distribution formula power supply connected on t period nodes j；For the t periods
The photovoltaic active power connected on node j；For the burden with power amount interrupted on t period nodes j；For on t period nodes j
The direct load of connection controls the load controlled；For the payback load on t period nodes j；For t period nodes j
Reactive load power；Static passive compensation device to be connected on t period nodes j compensates power；For the t periods
The reactive power that the controlled distribution formula power supply connected on point j is sent out；For the photovoltaic reactive power connected on t period nodes j；For the load or burden without work amount interrupted on t period nodes j；For the voltage magnitude of t period nodes j, Vi tFor the electricity of t period node is
Pressure amplitude value；
The interruptible load constraint is as shown in formula (3)：
In formula：For the upper limit value of j-th of interruptible load；For the power-factor angle of interruptible load；
The power distribution network operational safety constraint is as shown in formula (4)：
In formula：Vi minFor node i voltage magnitude lower limit；Vi maxFor the node i voltage magnitude upper limit,For on branch ij current amplitudes
Limit；
Shown in the distribution transforming critical point power constraint such as formula (5)：
In formula：The active power of this grade of power distribution network is flowed into from higher level's power transmission network for t periods root node,It is set for regulation and control center
Fixed active power exchanges the upper bound,Active power for the setting of regulation and control center exchanges lower bound, Q0 tIt is t periods root node from upper
Grade power transmission network flows into the reactive power of this grade of power distribution network,To regulate and control the reactive power exchange lower bound of center setting,For
The reactive power exchange upper bound of regulation and control center setting；
The static passive compensation device SVC is constrained as shown in formula (6)：
In formula：For the upper limit value of static passive compensation device regulating power,It is adjustable for static passive compensation device
Save the lower limiting value of power.
4. the sale of electricity company region within the jurisdiction power distribution network dispatching method according to claim 1 based on second order cone optimization, special
Sign is, in the step 10), direct load control operation constraint includes spatial load forecasting time-constrain, spatial load forecasting capacity
Constraint, the constraint of load controllable period of time and payback load constraint；
Shown in the spatial load forecasting time-constrain such as formula (10)：
In formula：Xk,tThe 0-1 state variables whether user is controlled are controlled for k-th of direct load of t periods, 1 indicates to be controlled, and 0
Indicate not controlled；The continuous controllable period of time of maximum of user is controlled for k-th of direct load；T0Indicate dispatching cycle T withWhen intersegmental minimum value, Xk,lThe 0-1 state variables whether user is controlled are controlled for k-th of direct load of l periods,
Xk,t-1The 0-1 state variables whether user is controlled are controlled for k-th of direct load of t-1 periods,For k-th of direct load
Control user's minimum continuous uncontrolled time；
Shown in the spatial load forecasting capacity-constrained such as formula (11)：
In formula：The load that user is controlled is controlled for k-th of direct load of t periods,For k-th of direct load control
The control capability upper limit of user processed；
The controlled period constraint of load is as shown in formula (12)：
In formula：S is the period for taking direct load control measure；
The payback load constraint is as shown in formula (13)：
In formula：The payback load of user is controlled for k-th of direct load of t periods,User is controlled for k-th of direct load
In the controlled-load of t-1 periods,Controlled-load of the user in the t-2 periods is controlled for k-th of direct load,It is k-th
Direct load controls controlled-load of the user in the t-3 periods, and α is the first coefficient of corresponding period, and β is the second system of corresponding period
Number, γ are the third coefficient of corresponding period.
5. the sale of electricity company region within the jurisdiction power distribution network dispatching method according to claim 1 based on second order cone optimization, special
Sign is, in the step 10), energy storage device operation constraint includes that capacity of energy storing device is constrained with energy storage charge-discharge electric power about
Beam；
The capacity of energy storing device constraint is as shown in formula (14)：
In formula,Gross energy for the energy storage connected in t period node is,For the energy storage charging connected in t period node is
Power, ηchFor the charge efficiency of energy storage,For the energy storage discharge power connected in t period node is, ηdisIt is imitated for the electric discharge of energy storage
Rate,Gross energy for the energy storage connected in t+1 period node is, Δ T are time interval,To be connected in T period node is
Energy storage gross energy,For the energy storage charge power connected in T period node is,For the storage connected in T period node is
Energy discharge power,Gross energy for the energy storage connected in the 1st period node i,For the stored energy capacitance connected in node i
Limit value；
The energy storage charge-discharge electric power is constrained as shown in formula (15)：
In formula,The charge power upper limit for the energy storage device connected in node i,For the storage connected in t moment node i
The charged state of energy device is 0-1 variables,Indicate that connection energy storage device is in charged state in t moment node i,Indicate that connection energy storage device is not in charged state in t moment node i；For the energy storage device that is connected in node i
The discharge power upper limit,Discharge condition for the energy storage device connected in t moment node i is 0-1 variables,Indicate t
Energy storage device is connected in moment node i is in discharge condition,Indicate that connection energy storage device is not in t moment node i
Discharge condition.
6. the sale of electricity company region within the jurisdiction power distribution network dispatching method according to claim 1 based on second order cone optimization, special
Sign is, in the step 10), renewable energy power generation constraint includes photovoltaic generation operation constraint, photovoltaic generation operation constraint
As shown in formula (16)：
In formula：For the photovoltaic active power connected on t period nodes j,To be connected to the photovoltaic on node j in the t periods
The predicted value of active power output；For the photovoltaic reactive power connected on t period nodes j,For the idle output of corresponding photovoltaic
Predicted value；For the power-factor angle of photovoltaic.
7. the sale of electricity company region within the jurisdiction power distribution network dispatching method according to claim 1 based on second order cone optimization, special
Sign is that the step 20) specifically includes following steps：
Convex relaxation is carried out firstly for trend constraint, as shown in formula (17)：
Then it introduces shown in new variables such as formula (18) and formula (19)：
vi:=| Vi t|2Formula (18)
Trend constraint is converted, as shown in formula (20)：
Formula (18) and formula (19) are substituted into formula (17), and do equivalent variations, obtains formula (21)：
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