CN104868480B - The active distribution network robust voltage control method that a kind of active reactive is coordinated - Google Patents
The active distribution network robust voltage control method that a kind of active reactive is coordinated Download PDFInfo
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Abstract
The present invention relates to the active distribution network robust voltage control method that a kind of active reactive is coordinated, belong to electric power system optimization operation control field.This method establishes the object function of optimal control, propose the interval scheduling method of photovoltaic generation, Three-phase Power Flow equation in being run using active distribution network under voltage highest and minimum scene, and subdivided capacitor is handled using binary coding mode, by discrete control problem continuous treatment.Finally, in Comprehensive Control active distribution network photovoltaic, Continuous Var Compensation device, the reactive power of subdivided capacitor and to issue permission active power to photovoltaic plant interval, to adapt to the uncertainty of photovoltaic generation and load power in active distribution network.The Optimal Control Strategy that this method is drawn ensure that voltage is safe when photovoltaic generation and load power are fluctuated in indeterminacy section, be conducive to the voltage of active distribution network to control.
Description
Technical field
The present invention relates to the active distribution network robust voltage control method that a kind of active reactive is coordinated, belong to power system excellent
Change operation control field.
Background technology
The power distribution network accessed for high permeability photovoltaic, what the size of photovoltaic generation power was brought to the safe operation of power network
Influence can not be ignored.Photovoltaic generation power is sized depending on intensity of illumination, therefore with randomness and intermittence.Distribution network planning
Mould is huge, is limited to investment and maintenance cost, seldom installs real-time measurement device, the measuring value for state estimation is generally load work(
Rate puppet is measured, and therefore, the ornamental of power distribution network is poor, and state estimation result particularly load estimation error is very big.It is traditional true
Qualitative voltage optimization control is all based on imaginary " accurate " data, does not consider the uncertainty of photovoltaic generation and estimating for load
Error is counted, then its obtained optimisation strategy does not ensure that power network when photovoltaic generation and load power are fluctuated in indeterminacy section
Voltage is still safe.
The content of the invention
The purpose of the present invention is to propose to the active distribution network robust voltage control method that a kind of active reactive is coordinated, according to every
The active power that control centre is sent on individual photovoltaic plant is interval interval with load apparent energy, and proposition can adapt to photovoltaic generation
With the probabilistic active reactive robust voltage control method of load power, it is ensured that photovoltaic generation and load power are in uncertain region
Between fluctuate when voltage it is safe.
The active distribution network robust voltage control method that active reactive proposed by the present invention is coordinated, comprises the following steps：
(1) the generating active power interval for presetting the photovoltaic plant in an access active distribution network isAnd
Active distribution network control centre will be sent on default active power interval, active distribution network control centre is by photovoltaic plant
The permission of active power is intervalPhotovoltaic plant is issued to, when the active power of photovoltaic plant is more than above-mentioned permission interval
The upper limitWhen, the active power for making photovoltaic plant is the upper limit
(2) the voltage-controlled object function of active distribution network robust for setting up active reactive coordination is as follows：
Wherein, M abandons light penalty coefficient for photovoltaic plant, and M span is 4~6,P pvWithRespectively photovoltaic electric
The lower and upper limit of the active power of active distribution network control centre are sent on standing,WithRespectively active distribution network is dispatched
Center is issued to the lower and upper limit of the active power of photovoltaic plant,For each node active power composition in active distribution network
Column vector, footmark u represents to make active distribution network magnitude of voltage to be in maximum, footmarkFor the ABC three-phases of active distribution network,
For the column vector of each node active power composition in active distribution network, footmark l represents to make active distribution network magnitude of voltage be in minimum
Value, sum () represents to sum to the element in column vector；
(3) set active distribution network voltage be in maximum when trend constraint as：
Wherein, footmarkFor the ABC three-phases of active distribution network,WithThe active respectively formed by topology search is matched somebody with somebody
The three-phase node branch road incidence matrix and branch impedance matrix of power network,ForIntermediate value be -1 element constitute withDimension phase
Same end branch incidence matrix,ForIntermediate value be 1 element constitute withDimension identical top branch road incidence matrix,
Real () and imag () represent to take real and imaginary part respectively, × and × it is respectively the sum of products dot product of matrix,WithThe column vector of the column vector of each node active power composition and reactive power composition, angle respectively in active distribution network
Mark u represents to make active distribution network magnitude of voltage in maximum,
Wherein,The column vector constituted for the active power lower limit of each load bus of active distribution network,Actively to match somebody with somebody
Each photovoltaic plant allows the active power upper limit in power networkThe column vector of composition,For the nothing of each load bus of active distribution network
The column vector of work(lower limit of the power composition, QinFor by the reactive power of all photovoltaic plants in active distribution networkStatic reacance
The reactive power of compensatorWith the reactive power of subdivided capacitorThe column vector of composition；
For the column vector of active distribution network voltage value three phases active power composition of branch road when maximum：
Wherein, N is the circuitry number in active distribution network,WithRepresent active distribution network magnitude of voltage most respectively
When big on branch road 1 A, B and C three-phase active power, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value three phase reactive power composition of branch road when maximum：
Wherein, N is the circuitry number in active distribution network,Active distribution network magnitude of voltage is represented respectively
When maximum on branch road 1 A, B and C three-phase reactive power, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value electric current modulus value square composition of branch road when maximum：
Wherein, N is the circuitry number in active distribution network,WithRepresent that active distribution network magnitude of voltage is maximum respectively
Square of A, B and C three-phase current modulus value on Shi Zhilu 1, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value three-phase voltage modulus value square composition of node when maximum：
Wherein, n is the nodes in active distribution network,Represent that active distribution network magnitude of voltage is maximum respectively
Square of Shi Jiedian 1 A, B and C three-phase voltage modulus value, subscript T represents the transposition computing of vector；
(4) set active distribution network voltage be in minimum value when trend constraint as：
Wherein, footmarkFor the ABC three-phases of active distribution network,WithThe active respectively formed by topology search is matched somebody with somebody
The three-phase node branch road incidence matrix and branch impedance matrix of power network,ForIntermediate value be -1 element constitute withDimension phase
Same end branch incidence matrix,ForIntermediate value be 1 element constitute withDimension identical top branch road incidence matrix,
Real () and imag () represent to take real and imaginary part respectively, × and × it is respectively the sum of products dot product of matrix,WithThe row arrow of the column vector of each node active power composition and each node reactive power composition respectively in active distribution network
Amount, footmark l represents to make active distribution network magnitude of voltage in minimum value,
Wherein,The column vector constituted for the active power upper limit of each load bus of active distribution network,Actively to match somebody with somebody
Each photovoltaic plant allows active power lower limit in power networkThe column vector of composition,For each load bus of active distribution network
The column vector of reactive power upper limit composition, QinFor by the reactive power of all photovoltaic plants in active distribution networkStatic nothing
The reactive power of work(compensatorWith the reactive power of subdivided capacitorThe column vector of composition；
For the column vector of active distribution network voltage value three phases active power composition of branch road when minimum：
Wherein, N is the circuitry number in active distribution network,WithRepresent that active distribution network magnitude of voltage is minimum respectively
The active power of A, B and C three-phase on Shi Zhilu 1, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value three phase reactive power composition of branch road when minimum：
Wherein, N is the circuitry number in active distribution network,Active distribution network magnitude of voltage is represented respectively
When minimum on branch road 1 A, B and C three-phase reactive power, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value electric current modulus value square composition of branch road when minimum：
Wherein, N is the circuitry number in active distribution network,WithRepresent that active distribution network magnitude of voltage is minimum respectively
Square of A, B and C three-phase current modulus value on Shi Zhilu 1, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value three-phase voltage modulus value square composition of node when minimum：
Wherein, n is the nodes in active distribution network,Represent that active distribution network magnitude of voltage is minimum respectively
Square of Shi Jiedian 1 A, B and C three-phase voltage modulus value, subscript T represents the transposition computing of vector；
(5) active power of photovoltaic plant is constrained in setting active distribution network：
Wherein,P pvWithRespectively be sent on photovoltaic plant active distribution network control centre active power lower limit and
The upper limit,WithRespectively active distribution network control centre is issued to the lower and upper limit of the active power of photovoltaic plant；
(6) voltage security of setting active distribution network interior joint is constrained to：
Wherein,WithThe three-phase voltage modulus value of root node is put down when respectively active distribution network voltage is maximum
The three-phase voltage modulus value square of root node when side and minimum active distribution network voltage,It is maximum for active distribution network voltage
When other nodes in addition to root node three-phase voltage modulus value square,Root section is removed during for active distribution network voltage minimum
The three-phase voltage modulus value square of other nodes outside point, UmaxFor the upper safety limit of active distribution network interior joint three-phase voltage, Umin
For the lower safety limit of active distribution network interior joint three-phase voltage；
(7) active power and reactive power between setting power transmission network and active distribution network on transmission line are constrained to：
Wherein,WithActive distribution network root node three-phase when respectively active distribution network magnitude of voltage is maximum
The three-dimensional column vector of active power composition and the three-dimensional column vector of three phase reactive power composition,WithRespectively
The three-dimensional column vector and three-phase of active distribution network root node three phases active power composition are idle when active distribution network magnitude of voltage is minimum
The three-dimensional column vector of power composition,WithRespectively between power transmission network and power distribution network on transmission line active power peace
Full lower and upper limit,WithRespectively between power transmission network and power distribution network on transmission line the lower safety limit of reactive power and
The upper limit；
(8) reactive capability of photovoltaic plant and SVC is constrained in setting active distribution network：
Wherein,WithThe reactive power of photovoltaic plant and SVC respectively in active distribution network,The respectively reactive power maximum size and lower limit of photovoltaic plant,Respectively static reacance
The reactive power maximum size and lower limit of compensator；
(9) reactive power of subdivided capacitor is constrained in setting active distribution network：
T=α0*20+α1*21
Wherein,For the reactive power of subdivided capacitor,For the idle work(in subdivided capacitor per group capacitor
Rate, the group number that t puts into operation for subdivided capacitor in active distribution network, α0、α1Respectively variable, value is 0 or 1；
(10) Primal-dual Interior Point is used, according to above-mentioned steps (3), the trend constraint of (4) and step (5)~step
Suddenly the operation constraint of the active distribution network of (9), the object function of solution procedure (2), calculating obtains photovoltaic electric in active distribution network
Reactive power value, the reactive power value of SVC, the reactive power value of subdivided capacitor and the photovoltaic plant stood have
The permission of work(power is interval, realizes that active distribution network robust voltage is controlled.
The active distribution network robust voltage control method that active reactive proposed by the present invention is coordinated, its advantage is：
1st, the inventive method considers the randomness and intermittence that photovoltaic generation is accessed in active distribution network, considers simultaneously
The error that deficiency causes load power estimation to exist is measured in active distribution network, the active distribution network robust electricity that active reactive is coordinated
The control strategy that pressure control method is drawn ensure that photovoltaic generation and the load power voltage in uncertain interval interior fluctuation
It is safe.The Primal-dual Interior Point used in the inventive method, can effectively handle nonconvex nonlinear programming problems.
2nd, the inventive method proposes photovoltaic generation Robust Interval scheduling method, for the active distribution of high permeability photovoltaic
Net, it is simple not necessarily to can guarantee that system voltage safety, it is necessary to be realized with reference to a certain amount of light of abandoning by adjustment reactive power
Voltage security.Active power forecast interval is sent out on photovoltaic plant, control centre's optimization issues permission active power after calculating interval
To photovoltaic plant.
3rd, the inventive method realizes that simply, model solution speed is fast, with very strong practicality.
Embodiment
The active distribution network robust voltage control method that active reactive proposed by the present invention is coordinated, comprises the following steps：
(1) the generating active power interval for presetting the photovoltaic plant in an access active distribution network isAnd
Active distribution network control centre will be sent on default active power interval, active distribution network control centre is by photovoltaic plant
Active power permission it is intervalPhotovoltaic plant is issued to, the active power of photovoltaic plant is allowing intervalIt is interior with maximum power tracing mode operation；When the active power of photovoltaic plant is more than the interval upper limit of above-mentioned permissionWhen, the active power for making photovoltaic plant is the upper limit
(2) the voltage-controlled object function of active distribution network robust for setting up active reactive coordination is as follows：
Wherein, M abandons light penalty coefficient for photovoltaic plant, and M span is 4~6,P pvWithRespectively photovoltaic electric
The lower and upper limit of the active power of active distribution network control centre are sent on standing,WithRespectively active distribution network is dispatched
Center is issued to the lower and upper limit of the active power of photovoltaic plant,For each node active power composition in active distribution network
Column vector, footmark u represents to make active distribution network magnitude of voltage to be in maximum, footmarkFor the ABC three-phases of active distribution network,
For the column vector of each node active power composition in active distribution network, footmark l represents to make active distribution network magnitude of voltage be in minimum
Value, sum () represents to sum to the element in column vector；
(3) set active distribution network voltage be in maximum when trend constraint as：
Wherein, footmarkFor the ABC three-phases of active distribution network,WithThe active respectively formed by topology search is matched somebody with somebody
The three-phase node branch road incidence matrix and branch impedance matrix of power network,ForIntermediate value be -1 element constitute withDimension phase
Same end branch incidence matrix,ForIntermediate value be 1 element constitute withDimension identical top branch road incidence matrix,
Real () and imag () represent to take real and imaginary part respectively, × and × it is respectively the sum of products dot product of matrix,WithThe column vector of the column vector of each node active power composition and reactive power composition, angle respectively in active distribution network
Mark u represents to make active distribution network magnitude of voltage in maximum,
Wherein,The column vector constituted for the active power lower limit of each load bus of active distribution network,Actively to match somebody with somebody
Each photovoltaic plant allows the active power upper limit in power networkThe column vector of composition,For each load bus of active distribution network
The column vector of reactive power lower limit composition, QinFor by the reactive power of all photovoltaic plants in active distribution networkStatic nothing
The reactive power of work(compensatorWith the reactive power of subdivided capacitorThe column vector of composition；
For the column vector of active distribution network voltage value three phases active power composition of branch road when maximum：
Wherein, N is the circuitry number in active distribution network,WithRepresent active distribution network magnitude of voltage most respectively
When big on branch road 1 A, B and C three-phase active power, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value three phase reactive power composition of branch road when maximum：
Wherein, N is the circuitry number in active distribution network,Active distribution network magnitude of voltage is represented respectively
When maximum on branch road 1 A, B and C three-phase reactive power, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value electric current modulus value square composition of branch road when maximum：
Wherein, N is the circuitry number in active distribution network,WithRepresent that active distribution network magnitude of voltage is maximum respectively
Square of A, B and C three-phase current modulus value on Shi Zhilu 1, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value three-phase voltage modulus value square composition of node when maximum：
Wherein, n is the nodes in active distribution network,Represent that active distribution network magnitude of voltage is maximum respectively
Square of Shi Jiedian 1 A, B and C three-phase voltage modulus value, subscript T represents the transposition computing of vector；
(4) set active distribution network voltage be in minimum value when trend constraint as：
Wherein, footmarkFor the ABC three-phases of active distribution network,WithThe active respectively formed by topology search is matched somebody with somebody
The three-phase node branch road incidence matrix and branch impedance matrix of power network,ForIntermediate value be -1 element constitute withDimension phase
Same end branch incidence matrix,ForIntermediate value be 1 element constitute withDimension identical top branch road incidence matrix,
Real () and imag () represent to take real and imaginary part respectively, × and × it is respectively the sum of products dot product of matrix,WithThe row arrow of the column vector of each node active power composition and each node reactive power composition respectively in active distribution network
Amount, footmark l represents to make active distribution network magnitude of voltage in minimum value,
Wherein,The column vector constituted for the active power upper limit of each load bus of active distribution network,For active distribution
Each photovoltaic plant allows active power lower limit in netThe column vector of composition,For the nothing of each load bus of active distribution network
The column vector of work(upper limit of the power composition, QinFor by the reactive power of all photovoltaic plants in active distribution networkStatic reacance
The reactive power of compensatorWith the reactive power of subdivided capacitorThe column vector of composition；
For the column vector of active distribution network voltage value three phases active power composition of branch road when minimum：
Wherein, N is the circuitry number in active distribution network,WithRepresent that active distribution network magnitude of voltage is minimum respectively
The active power of A, B and C three-phase on Shi Zhilu 1, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value three phase reactive power composition of branch road when minimum：
Wherein, N is the circuitry number in active distribution network,Active distribution network magnitude of voltage is represented respectively
When minimum on branch road 1 A, B and C three-phase reactive power, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value electric current modulus value square composition of branch road when minimum：
Wherein, N is the circuitry number in active distribution network,WithRepresent that active distribution network magnitude of voltage is minimum respectively
Square of A, B and C three-phase current modulus value on Shi Zhilu 1, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value three-phase voltage modulus value square composition of node when minimum：
Wherein, n is the nodes in active distribution network,Represent that active distribution network magnitude of voltage is minimum respectively
Square of Shi Jiedian 1 A, B and C three-phase voltage modulus value, subscript T represents the transposition computing of vector；
(5) active power of photovoltaic plant is constrained in setting active distribution network：
Wherein,P pvWithRespectively be sent on photovoltaic plant active distribution network control centre active power lower limit and
The upper limit,WithRespectively active distribution network control centre is issued to the lower and upper limit of the active power of photovoltaic plant；
(6) voltage security of setting active distribution network interior joint is constrained to：
Wherein,WithThe three-phase voltage modulus value of root node is put down when respectively active distribution network voltage is maximum
The three-phase voltage modulus value square of root node when side and minimum active distribution network voltage,It is maximum for active distribution network voltage
When other nodes in addition to root node three-phase voltage modulus value square,Root section is removed during for active distribution network voltage minimum
The three-phase voltage modulus value square of other nodes outside point, UmaxFor the upper safety limit of active distribution network interior joint three-phase voltage, Umin
For the lower safety limit of active distribution network interior joint three-phase voltage；
(7) active power and reactive power between setting power transmission network and active distribution network on transmission line are constrained to：
Wherein,WithActive distribution network root node three when respectively active distribution network magnitude of voltage is maximum
The three-dimensional column vector of phase active power composition and the three-dimensional column vector of three phase reactive power composition,WithRespectively
For active distribution network voltage value active distribution network root node three phases active power composition when minimum three-dimensional column vector and three-phase without
The three-dimensional column vector of work(power composition,WithActive power on transmission line respectively between power transmission network and power distribution network
Lower safety limit and the upper limit,WithRespectively between power transmission network and power distribution network on transmission line reactive power lower safety limit
And the upper limit；
(8) reactive capability of photovoltaic plant and SVC is constrained in setting active distribution network：
Wherein,WithThe reactive power of photovoltaic plant and SVC respectively in active distribution network,The respectively reactive power maximum size and lower limit of photovoltaic plant,Respectively static reacance
The reactive power maximum size and lower limit of compensator；
(9) reactive power of subdivided capacitor is constrained in setting active distribution network：
T=α0*20+α1*21
Wherein,For the reactive power of subdivided capacitor,For the idle work(in subdivided capacitor per group capacitor
Rate, the group number that t puts into operation for subdivided capacitor in active distribution network, α0、α1Respectively variable, value is 0 or 1；
(10) Primal-dual Interior Point is used, according to above-mentioned steps (3), the trend constraint of (4) and step (5)~step
Suddenly the operation constraint of the active distribution network of (9), the object function of solution procedure (2), calculating obtains photovoltaic electric in active distribution network
Reactive power value, the reactive power value of SVC, the reactive power value of subdivided capacitor and the photovoltaic plant stood have
The permission of work(power is interval, realizes that active distribution network robust voltage is controlled.
Claims (1)
1. the active distribution network robust voltage control method that a kind of active reactive is coordinated, it is characterised in that this method includes following step
Suddenly：
(1) the generating active power interval for presetting the photovoltaic plant in an access active distribution network isAnd this is pre-
If active power interval on be sent to active distribution network control centre, active distribution network control centre is by the wattful power of photovoltaic plant
The permission of rate is intervalPhotovoltaic plant is issued to, when the active power of photovoltaic plant is more than the interval upper limit of above-mentioned permissionWhen, the active power for making photovoltaic plant is the upper limit
(2) the voltage-controlled object function of active distribution network robust for setting up active reactive coordination is as follows：
Wherein, M abandons light penalty coefficient for photovoltaic plant, and M span is 4~6,WithSent out respectively on photovoltaic plant
To the lower and upper limit of the active power of active distribution network control centre,WithRespectively under active distribution network control centre
The lower and upper limit of the active power of photovoltaic plant are sent to,For the row arrow of each node active power composition in active distribution network
Amount, footmark u represents to make active distribution network magnitude of voltage be in maximum, footmarkFor the ABC three-phases of active distribution network,For actively
The column vector of each node active power composition in power distribution network, footmark l represents to make active distribution network magnitude of voltage be in minimum value, sum
() represents to sum to the element in column vector；
(3) set active distribution network voltage be in maximum when trend constraint as：
Wherein, footmarkFor the ABC three-phases of active distribution network,WithThe active distribution network respectively formed by topology search
Three-phase node branch road incidence matrix and branch impedance matrix,ForIntermediate value be -1 element constitute withDimension identical
End branch incidence matrix,ForIntermediate value be 1 element constitute withDimension identical top branch road incidence matrix, real
() and imag () represent to take real and imaginary part respectively, × and × it is respectively the sum of products dot product of matrix,WithThe column vector of the column vector of each node active power composition and reactive power composition, footmark u tables respectively in active distribution network
Showing makes active distribution network magnitude of voltage be in maximum,
Wherein,The column vector constituted for the active power lower limit of each load bus of active distribution network,For in active distribution network
Each photovoltaic plant allows the active power upper limitThe column vector of composition,For the idle work(of each load bus of active distribution network
The column vector of rate lower limit composition, QinFor by the reactive power of all photovoltaic plants in active distribution networkStatic reactive
The reactive power of deviceWith the reactive power of subdivided capacitorThe column vector of composition；
For the column vector of active distribution network voltage value three phases active power composition of branch road when maximum：
Wherein, N is the circuitry number in active distribution network,WithBranch when active distribution network magnitude of voltage is maximum is represented respectively
The active power of A, B and C three-phase on road 1, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value three phase reactive power composition of branch road when maximum：
Wherein, N is the circuitry number in active distribution network,Represent that active distribution network magnitude of voltage is maximum respectively
The reactive power of A, B and C three-phase on Shi Zhilu 1, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value electric current modulus value square composition of branch road when maximum：
Wherein, N is the circuitry number in active distribution network,WithBranch when active distribution network magnitude of voltage is maximum is represented respectively
Square of A, B and C three-phase current modulus value on road 1, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value three-phase voltage modulus value square composition of node when maximum：
Wherein, n is the nodes in active distribution network,The active distribution network magnitude of voltage maximum time is represented respectively
Square of A, B and C three-phase voltage modulus value of point 1, subscript T represents the transposition computing of vector；
(4) set active distribution network voltage be in minimum value when trend constraint as：
Wherein, footmarkFor the ABC three-phases of active distribution network,WithThe active distribution network respectively formed by topology search
Three-phase node branch road incidence matrix and branch impedance matrix,ForIntermediate value be -1 element constitute withDimension identical
End branch incidence matrix,ForIntermediate value be 1 element constitute withDimension identical top branch road incidence matrix, real
() and imag () represent to take real and imaginary part respectively, × and × it is respectively the sum of products dot product of matrix,WithThe column vector of the column vector of each node active power composition and each node reactive power composition respectively in active distribution network,
Footmark l represents to make active distribution network magnitude of voltage in minimum value,
Wherein,The column vector constituted for the active power upper limit of each load bus of active distribution network,For in active distribution network
Each photovoltaic plant allows active power lower limitThe column vector of composition,For the idle work(of each load bus of active distribution network
The column vector of rate upper limit composition, QinFor by the reactive power of all photovoltaic plants in active distribution networkStatic reactive
The reactive power of deviceWith the reactive power of subdivided capacitorThe column vector of composition；
For the column vector of active distribution network voltage value three phases active power composition of branch road when minimum：
Wherein, N is the circuitry number in active distribution network,WithBranch when active distribution network magnitude of voltage is minimum is represented respectively
The active power of A, B and C three-phase on road 1, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value three phase reactive power composition of branch road when minimum：
Wherein, N is the circuitry number in active distribution network,Represent that active distribution network magnitude of voltage is minimum respectively
The reactive power of A, B and C three-phase on Shi Zhilu 1, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value electric current modulus value square composition of branch road when minimum：
Wherein, N is the circuitry number in active distribution network,WithBranch when active distribution network magnitude of voltage is minimum is represented respectively
Square of A, B and C three-phase current modulus value on road 1, subscript T represents the transposition computing of vector；
For the column vector of active distribution network voltage value three-phase voltage modulus value square composition of node when minimum：
Wherein, n is the nodes in active distribution network,The active distribution network magnitude of voltage minimum time is represented respectively
Square of A, B and C three-phase voltage modulus value of point 1, subscript T represents the transposition computing of vector；
(5) active power of photovoltaic plant is constrained in setting active distribution network：
Wherein,WithThe lower and upper limit of the active power of active distribution network control centre are respectively sent on photovoltaic plant,WithRespectively active distribution network control centre is issued to the lower and upper limit of the active power of photovoltaic plant；
(6) voltage security of setting active distribution network interior joint is constrained to：
Wherein,WithThe three-phase voltage modulus value quadratic sum of root node when respectively active distribution network voltage is maximum
The three-phase voltage modulus value square of root node when active distribution network voltage is minimum,Removed during for active distribution network voltage maximum
The three-phase voltage modulus value square of other nodes outside root node,During for active distribution network voltage minimum in addition to root node
Other nodes three-phase voltage modulus value square, UmaxFor the upper safety limit of active distribution network interior joint three-phase voltage, UminBased on
The lower safety limit of dynamic power distribution network interior joint three-phase voltage；
(7) active power and reactive power between setting power transmission network and active distribution network on transmission line are constrained to：
Wherein,WithActive distribution network root node three-phase is active when respectively active distribution network magnitude of voltage is maximum
The three-dimensional column vector of power composition and the three-dimensional column vector of three phase reactive power composition,WithRespectively actively
The three-dimensional column vector and three phase reactive power of active distribution network root node three phases active power composition when distribution network voltage value is minimum
The three-dimensional column vector of composition,WithRespectively between power transmission network and power distribution network on transmission line under the safety of active power
Limit and the upper limit,WithRespectively between power transmission network and power distribution network on transmission line reactive power lower safety limit and the upper limit；
(8) reactive capability of photovoltaic plant and SVC is constrained in setting active distribution network：
Wherein,WithThe reactive power of photovoltaic plant and SVC respectively in active distribution network,The respectively reactive power maximum size and lower limit of photovoltaic plant,Respectively static reacance
The reactive power maximum size and lower limit of compensator；
(9) reactive power of subdivided capacitor is constrained in setting active distribution network：
T=α0*20+α1*21
Wherein,For the reactive power of subdivided capacitor,For the reactive power in subdivided capacitor per group capacitor, t
The group number put into operation for subdivided capacitor in active distribution network, α0、α1Respectively variable, value is 0 or 1；
(10) Primal-dual Interior Point is used, according to above-mentioned steps (3), the trend constraint of (4) and step (5)~step (9)
Active distribution network operation constraint, the object function of solution procedure (2) calculates and obtains the nothing of photovoltaic plant in active distribution network
Work(performance number, the reactive power value of SVC, the reactive power value of subdivided capacitor and photovoltaic plant active power
Permission it is interval, realize that active distribution network robust voltage is controlled.
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