CN105958485A - Power flow calculation method for flexible interconnecting alternating current-direct current hybrid power distribution network - Google Patents
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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
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Abstract
The invention provides a power flow calculation method for a flexible interconnecting alternating current-direct current hybrid power distribution network. The power flow calculation method comprises the steps of A, establishing an alternating current power distribution system model and a direct current power distribution system model; B, disassembling the alternating current and direct current hybrid power distribution system; C, establishing a mathematical model for a power exchange interface between an alternating current sub network and a direct current sub network; D, carrying out power flow calculation on the alternating current sub network; E, carrying out power flow calculation on the direct current sub network; and F outputting the power flow calculation result. According to the technical scheme provided by the invention, the alternating current and direct current hybrid power distribution system is disassembled into the alternating current system and the direct current system; different power flow calculation methods are carried out on the alternating current system and the direct current system separately; and in addition, power exchange is only implemented on certain calculation nodes, so that the calculation speed is greatly enhanced.
Description
Technical field
The present invention relates to the tidal current computing method that a kind of power distribution network runs, a kind of flexible interconnection is handed over straight
The tidal current computing method of stream mixing power distribution network.
Background technology
Alternating current-direct current mixing power distribution network can preferably receive distributed power source and DC load, alleviates urban distribution network station
The contradiction that some corridor finite sum load density is high, can provide dynamic reactive support at load center simultaneously, and carry
The safety and stability level of high system.In alternating current-direct current mixing power distribution network, flexible direct current technology changes power distribution network
Topological structure, improves the power flowcontrol ability of by stages.But the net occurred in alternating current-direct current mixing distribution system
Network and a large amount of DC equipment significantly change grid structure and the method for operation of conventional AC power distribution network.
Load flow calculation is one of substance of power system computation, is also power system safety and stability calculating point
The basis of analysis, in planning and designing, runs in control and extensively applies.Need to open to alternating current-direct current mixing distribution system
Sending out high-speed simulation instrument corresponding, it is the basic function that emulates of alternating current-direct current mixing power distribution network that Power flow simulation calculates.
Along with the continuous expansion of alternating current-direct current mixing electrical network scale, its convergence calculated to Power flow simulation brings new
Challenge.The engineering calculation of ultra-large alternating current-direct current mixing power distribution network is frequently encountered Load flow calculation convergence difficulties
The phenomenon even not restrained, causes cannot effectively obtaining feasible solution, seriously constrains work efficiency, and affect
Follow-up safety and stability computational analysis.The tidal current computing method of existing AC system is the most ripe, but
Be ultra-large alternating current-direct current mixing distribution system Load flow calculation convergence problem be always difficult point, be simultaneous for
What the Load flow calculation algorithm of AC/DC network was main concentrates on power transmission network field, the structure and parameter of distribution network
Unsymmetry, the feature such as complexity of network size cause alternating current-direct current mixed current computational methods with in power transmission network
The difference of tidal current computing method.
Accordingly, it is desirable to provide a kind of technical scheme meets the needs of prior art.
Summary of the invention
In order to overcome above-mentioned the deficiencies in the prior art, the present invention provides a kind of flexible interconnection alternating current-direct current mixing power distribution network
Tidal current computing method, it comprises the steps:
A. alternating-current system and direct-flow distribution system model are set up;
B. partition AC and DC mixing distribution system;
C. the mathematical model of Power Exchange interface between exchange subnet and direct current subnet is set up;
D. described exchange subnet is carried out Load flow calculation;
E. described direct current subnet is carried out Load flow calculation;
F. calculation of tidal current is exported.
Step A includes: set up AC system power flow equation and straight-flow system power flow equation.
AC system power flow equation is as follows:
In formula: PdiFor at described AC system interior joint i load have work value, QdiFor described AC system saves
Point i at load without work value;
PDGiFor the active power of the distributed power source that described AC system interior joint i accesses, QDGiFor described friendship
The reactive power of the distributed power source that streaming system interior joint i accesses;
PDCiWork value, Q is had for what described intercommunion subsystem was injected by the described direct current subnet of load at node iDCi
For the described direct current subnet of load at node i described exchange subnet is injected without work value;
ViFor the voltage magnitude of node i, VjVoltage magnitude for node j;
GijFor the real part of circuit ij admittance, BijImaginary part for circuit ij admittance;
θijFor node i and the phase angle difference of node j voltage, wherein i, j ∈ [0, N], N is described AC system
In node total number.
Straight-flow system power flow equation is as follows:
In formula, PdiFor at described straight-flow system interior joint i load have work value;
PDGiFor the active power of the distributed power source that described straight-flow system interior joint i accesses, PACiFor node i
The exchange subnet of place's load has work value to direct current subnet injection;
ViFor the voltage magnitude of described straight-flow system interior joint i, VjVoltage for described straight-flow system interior joint j
Amplitude;
GijFor the real part of DC line ij admittance, wherein i, j ∈ [0, N], N is described straight-flow system interior joint
Sum;
UConverter.mFor rectification side voltage, ncmFor rectifying bridge arm number, α is rectification side Trigger Angle, XcmFor
Rectification side change of current reactance, IDCmFor DC current;
UInverter.mFor inverter side voltage, nImFor inverter bridge leg number, γ is inverter side blow-out angle, XImFor inverse
Become side change of current reactance.
Step B includes:
With flexible interconnection device for partition point, described alternating current-direct current mixing distribution system is divided into exchange subnet with straight
Stream subnet.
Power Exchange mathematical model described in step C is as follows:
In formula, PACmFor the active power of inverter AC, PDCmFor the active power of Converter DC-side,
△PmDifference for inverter both sides active power;
QDCmFor the through-put power of described straight-flow system seam, QACmBiography for described AC system seam
Defeated power;
UCmVoltage for straight-flow system seam;
PCmFor the active power of straight-flow system seam, QCmReactive power for straight-flow system seam;
XLFor the change of current reactance being connected between described AC system with described straight-flow system.
Step D includes: using three-phase forward-backward sweep method to carry out the Load flow calculation of described exchange subnet, it includes
Before push through journey and backward steps.
Step E includes: use parallel computation that described direct current subnet is carried out Load flow calculation.
Step F includes: when the calculating of described AC system and described straight-flow system all restrains, and output is corresponding
Result is as final calculation of tidal current;
Otherwise, revise the injection value of the power of described exchange subnet and described direct current subnet, re-start calculating straight
To convergence.
Compared with immediate prior art, the present invention provide technical scheme have following benefit effect:
1, the present invention can realize alternating current-direct current mixing power distribution network is carried out Power flow simulation calculating, makes up this field
Not enough and blank.
2, alternating current-direct current is mixed distribution system and is divided into AC system and straight-flow system calculates respectively by the present invention, adopts
With different tidal current computing methods, only on specific calculation node, carry out Power Exchange, be beneficial to parallel, calculate speed
Promote substantially.
3, the AC of the present invention uses three-phase Forward and backward substitution method to calculate, it is possible to realize joining three-phase imbalance
The calculating of electricity system.
Accompanying drawing explanation
Fig. 1 is the alternating current-direct current mixing power distribution network network containing polymorphic type distributed power source;
Fig. 2 be the present invention be the flexible interconnection alternating current-direct current mixing power distribution network network of the present invention;
Fig. 3 is the alternating current-direct current mixing power distribution network interface schema of the present invention;
Fig. 4 is the alternating current-direct current mixing power distribution network Power Exchange figure of the present invention;
Fig. 5 is the exchange subnet tidal current computing method figure of the present invention;
Fig. 6 is the alternating current-direct current mixing distribution power system load flow calculation flow chart of the present invention.
Detailed description of the invention
Below in conjunction with Figure of description, technical scheme is described in further details.
Typical alternating current-direct current mixing power distribution network topological structure as illustrated in fig. 1 and 2, Fig. 1 is without distributed electrical
The alternating current-direct current mixing power distribution network in source, Fig. 2 is that the mixing containing the exemplary distribution formula plant-grid connection such as photovoltaic, wind-powered electricity generation is handed over directly
Stream power distribution network.
The method that the present invention provides:
Step 1: alternating current-direct current mixing power distribution network is divided into exchange subnet and direct current according to the position of inverter
Net, and set up the model of alternating current-direct current distribution system on this basis, including power flow equation and the direct current of AC system
The power flow equation of system, wherein exchange subnet power flow equation is as follows:
In formula, Pdi、QdiFor at AC network interior joint i load have work value and without work value;PDGi、QDGi
The active power of distributed power source accessed for AC network interior joint i and reactive power;PDCi、QDCiFor joint
At some i, the direct current subnet of load has work value and without work value to exchange subnet injection;Vi、VjBe respectively node i,
The voltage magnitude of j;Gij、BijReal part and imaginary part, θ for circuit ij admittanceijFor node i, j phase difference of voltage,
Wherein i, j ∈ [0, N], N is nodes sum.
Direct current subnet power flow equation is:
In formula, PdiFor at DC network interior joint i load have work value;PDGiConnect for DC network interior joint i
The active power of the distributed power source entered;PACiFor the exchange subnet of load at node i, direct current subnet is injected
There is work value;Vi、VjIt is respectively the voltage magnitude of direct current subnet interior joint i, j;GijFor DC line ij admittance
Real part, wherein i, j ∈ [0, N], N be DC network interior joint sum;UConverter.mFor rectification side voltage,
ncmFor rectifying bridge arm number, α is rectification side Trigger Angle, XcmFor rectification side change of current reactance, IDCmFor unidirectional current
Stream;UInverter.mFor inverter side voltage, nImFor inverter bridge leg number, γ is inverter side blow-out angle, XImFor inversion
Side change of current reactance, UcmFor rectification side change of current voltage, UImFor inverter side change of current voltage.
Step 2: with the flexible interconnection device of Step1 for partition point, whole alternating current-direct current mixing distribution system is divided
It is split into several intercommunion subsystem and direct current subsystem.In the case of ignoring the loss of commutator and inverter, exchange
The Power Exchange mathematical model of subnet and direct current subnet interface is as follows:
In formula, PACmThe active power injected for commutator or inverter ac side, PDCmFor commutator or inverse
Become the active power of device DC side, △ PmDifference for inverter both sides active power;
QDCmFor straight-flow system seam through-put power;QACmFor AC system seam through-put power;UCm
For straight-flow system seam voltage, UAmFor AC system seam voltage;PCmFor straight-flow system seam
Active power, QCmReactive power for straight-flow system seam;
XLIt is connected reactance with straight-flow system for AC system.
Voltage and the coupled relation of power between exchange subnet and direct current subnet can be calculated by above formula.
Fig. 3 shows exchange subnet and the exchange flow graph of direct current each variable of subnet, wherein, Load flow calculation
Time, need direct current subnet to be injected into the power P of exchange subnet by inverterDC,QDC, calculate exchange subnet
In four variable P, Q, U, θ;And the variable U in direct current subnetDC, need to exchange subnet and connect in AC system
Voltage U at KouACSolve.Set the voltage of AC and DC subnet, power initial value and convergence precision εac、
εdc, and configuration node voltage matrix Z.
Step 3: for alternating current-direct current mixing power distribution network, start system is carried out Load flow calculation from exchange subnet.
As shown in Figure 4, each flexible interconnection device is that AC system power is injected by straight-flow system to calculation process
Entrance, the size of injecting power is depended on last straight-flow system calculation of tidal current, and is connect by Power Exchange
Mouth is determined.
Due to the isoparametric asymmetrical type of load in distribution, the solving of AC system that the present invention provides uses three phase fronts
Push back and solve for method, it include as follows before push through journey and backward steps:
(1) the front journey that pushes through:
Each node injection current is shown below;
In formula, Ija, Ijb, IjcRepresent node j each phase injection current, Sja, Sjb, SjcRepresent that node j bears mutually
Lotus power, Uja, Ujb, UjcRepresent each phase voltage of node j, Yja, Yjb, YjcRepresent that node j the most relatively leads
Receiving, k represents iterations.
It is calculated as follows from the beginning of feeder terminal, the calculating of the branch current in opposite tide direction:
In formula, Ila, Ilb, IlcRepresenting each phase current of branch road l, M is all lower floors branch road that node j is connected
Set, branch road m is the element in composition M set, i.e. branch road m be lower floor's branch road of being connected with node j it
One.
(2) backward steps:
From the beginning of feeder line head end, the node voltage in fair tide direction be calculated as follows shown in formula:
In formula: Uia, Uib, UicRepresent each phase voltage of node i.ZaaFor the self-impedance of a phase, Zab、ZbaFor
The mutual impedance that a phase is alternate with b, Zac、ZcaFor the mutual impedance that a phase is alternate with c, ZbbFor the self-impedance of b phase,
ZccSelf-impedance for c phase.
Push away and two processes of back substitution before above-mentioned, complete an iteration and calculate.Push away before next round in iteration,
Use one and take turns the node voltage calculating power attenuation that backward steps is tried to achieve.Push away before Mei Ci in iteration, by network voltage
Calculating power is distributed;In back substitution iteration, power distribution calculate voltage's distribiuting.Repeat said process, until front
The modulus value of the node voltage difference of rear twice iteration stops iteration when meeting required precision, and output AC subnet result is made
For result of calculation.
Step 4: then each direct current subsystem is carried out Load flow calculation, each direct current subsystem can also be adopted
Solve with parallel computation.
There is not reactive power and voltage phase angle in calculating in DC power flow, determine the control model of grid-connecting apparatus with
And the control strategy of DG circulation, direct current subnet node is divided into voltage-type and power-type node.
For the direct current subnet of m voltage-type node and n power-type node, carry out trend as the following formula
Calculate:
DC(X(k))=[Δ Pdc1,ΔPdc2,…,ΔPdcn,ΔVdc1,ΔVdc2,,…,ΔVdcm]
ΔPdcFor the active power increment of power-type node, Δ VdcMagnitude of voltage increment for voltage-type node.
Wherein unknown variable:
X=[Pdc1,Pdc2,…,Pdcn,Vdc1,Vdc2,,…,Vdcm]
PdcFor the active power of power-type node, VdcMagnitude of voltage for voltage-type node.
Above-mentioned equation can be solved by Newton iteration method:
With Δ X modified chi, X(k+1)=X(k)-ΔX(k).Obtain new direct current net node power and magnitude of voltage.
JDCJacobin matrix for direct current subnet.
During kth time iteration, meet max (| Δ X(k)|) < ε time terminate, wherein ε be set convergence limit.
Step 5: as it is shown in figure 5, when the calculating of AC system and straight-flow system all reaches convergence, export phase
The result answered is as final calculation of tidal current.
Otherwise, revising the injection value of the power of AC and DC side, re-starting calculating until restraining.
Finally should be noted that: it is only limited by above example in order to technical scheme to be described
System, those of ordinary skill in the field still can be to the detailed description of the invention of the present invention with reference to above-described embodiment
Modifying or equivalent, these replace without departing from any amendment or the equivalent of spirit and scope of the invention
Change, within the claims of the present invention all awaited the reply in application.
Claims (9)
1. the tidal current computing method of a flexible interconnection alternating current-direct current mixing power distribution network, it is characterised in that include as follows
Step:
A. alternating-current system and direct-flow distribution system model are set up;
B. partition AC and DC mixing distribution system;
C. the mathematical model of Power Exchange interface between exchange subnet and direct current subnet is set up;
D. described exchange subnet is carried out Load flow calculation;
E. described direct current subnet is carried out Load flow calculation;
F. calculation of tidal current is exported.
Tidal current computing method the most according to claim 1, it is characterised in that described step A includes: build
Grade separation streaming system power flow equation and straight-flow system power flow equation.
Tidal current computing method the most according to claim 2, it is characterised in that described AC system trend side
Journey is as follows:
In formula: PdiFor described AC system interior joint i load have work value, QdiFor described AC system saves
Point i at load without work value;
PDGiFor the active power of the distributed power source that described AC system interior joint i accesses, QDGiFor described exchange
The reactive power of the distributed power source that system interior joint i accesses;
PDCiWork value, Q is had for what described intercommunion subsystem was injected by the described direct current subnet of the load of node iDCi
For the described direct current subnet of the load of node i described exchange subnet is injected without work value;
ViFor the voltage magnitude of node i, VjVoltage magnitude for node j;
GijFor the real part of circuit ij admittance, BijImaginary part for circuit ij admittance;
θijFor the phase difference of voltage between node i and node j, wherein i, j ∈ [0, N], N is described AC system
In node total number.
Tidal current computing method the most according to claim 2, it is characterised in that, described straight-flow system trend side
Journey is as follows:
In formula, PdiFor described straight-flow system interior joint i load have work value;
PDGiFor the active power of the distributed power source that described straight-flow system interior joint i accesses, PACiFor node i
The exchange subnet of place's load has work value to direct current subnet injection;
ViFor the voltage magnitude of described straight-flow system interior joint i, VjVoltage for described straight-flow system interior joint j
Amplitude;
GijFor the real part of DC line ij admittance, wherein i, j ∈ [0, N], N is described straight-flow system interior joint
Sum;
UConverter.mFor rectification side voltage, ncmFor rectifying bridge arm number, α is rectification side Trigger Angle, XcmFor
Rectification side change of current reactance, IDCmFor DC current;
UInverter.mFor inverter side voltage, nImFor inverter bridge leg number, γ is inverter side blow-out angle, XImFor inverse
Become side change of current reactance;
UCmVoltage for described straight-flow system seam.
Tidal current computing method the most according to claim 1, it is characterised in that described step B includes:
With flexible interconnection device for partition point, described alternating current-direct current mixing distribution system is divided into exchange subnet with straight
Stream subnet.
Tidal current computing method the most according to claim 1, it is characterised in that merit described in described step C
Rate exchange mathematical model is as follows:
In formula, PACmFor the active power of inverter AC, PDCmWattful power for described Converter DC-side
Rate, △ PmDifference for inverter both sides active power;
QDCmFor the through-put power of described straight-flow system seam, QACmBiography for described AC system seam
Defeated power;
UCmFor the voltage of described straight-flow system seam, UAmVoltage for described AC system seam;
PCmFor the active power of described straight-flow system seam, QCmIdle for described straight-flow system seam
Power;
XLFor the change of current reactance being connected between described AC system with described straight-flow system.
Tidal current computing method the most according to claim 1, it is characterised in that described step D includes: institute
The Load flow calculation stating exchange subnet uses three-phase forward-backward sweep method, and it pushes through journey and backward steps before including.
Tidal current computing method the most according to claim 1, it is characterised in that described step E includes: institute
The tidal current computing method stating direct current subnet includes parallel computation technique.
Tidal current computing method the most according to claim 1, it is characterised in that described step F includes:
Whether the calculating according to described AC system and described straight-flow system restrains, and determines that the result of output determines
As final calculation of tidal current or
Revise the power injection value of described exchange subnet and described direct current subnet, re-start calculating, until convergence.
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CN117526426A (en) * | 2024-01-03 | 2024-02-06 | 国网湖北省电力有限公司经济技术研究院 | Two-stage distributed optimization method and system for AC/DC power distribution network |
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