CN104333030B  A kind of analysis method of multiinfeed HVDC interaction factor  Google Patents
A kind of analysis method of multiinfeed HVDC interaction factor Download PDFInfo
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 CN104333030B CN104333030B CN201410606772.XA CN201410606772A CN104333030B CN 104333030 B CN104333030 B CN 104333030B CN 201410606772 A CN201410606772 A CN 201410606772A CN 104333030 B CN104333030 B CN 104333030B
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 230000003993 interaction Effects 0.000 title claims abstract description 32
 238000004458 analytical method Methods 0.000 title claims abstract description 17
 239000011159 matrix material Substances 0.000 claims abstract description 27
 238000000034 method Methods 0.000 claims abstract description 9
 230000015556 catabolic process Effects 0.000 claims description 2
 230000004059 degradation Effects 0.000 claims description 2
 238000006731 degradation reaction Methods 0.000 claims description 2
 230000005611 electricity Effects 0.000 claims description 2
 238000007667 floating Methods 0.000 claims description 2
 230000001131 transforming Effects 0.000 claims description 2
 238000009795 derivation Methods 0.000 abstract description 4
 230000001427 coherent Effects 0.000 abstract description 3
 238000006243 chemical reaction Methods 0.000 description 3
 230000005540 biological transmission Effects 0.000 description 2
 238000004364 calculation method Methods 0.000 description 2
 238000005516 engineering process Methods 0.000 description 2
 230000000694 effects Effects 0.000 description 1
 238000002347 injection Methods 0.000 description 1
 239000007924 injection Substances 0.000 description 1
 238000011084 recovery Methods 0.000 description 1
 238000004088 simulation Methods 0.000 description 1
 230000001052 transient Effects 0.000 description 1
Classifications

 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

 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
 H02J3/36—Arrangements for transfer of electric power between ac networks via a hightension dc link

 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]

 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

 Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSSSECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSSREFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
 Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
 Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
 Y02E60/00—Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
 Y02E60/60—Arrangements for transfer of electric power between AC networks or generators via a high voltage DC link [HVCD]
Abstract
A kind of analysis method of multiinfeed HVDC interaction factor, including: orthogonal streaming system is simplified and equivalent process, it is thus achieved that equivalent system；Set up the depression of order Jacobian matrix inearized model of equivalent system；Multiinfeed HVDC interaction factor is calculated by relevant Jacobian matrix element.The analysis method of multiinfeed HVDC interaction factor based on depression of order Jacobian matrix, including: orthogonal streaming system is simplified and equivalent process, it is thus achieved that equivalent system；Set up the depression of order Jacobian matrix inearized model of equivalent system；Multiinfeed HVDC interaction factor is calculated by relevant Jacobian matrix element.By utilizing Jacobian matrix coherent element to calculate MIIF, it is not necessary to by changing the existing running status of system, it is to avoid by emulation experiment, MIIF is calculated.The essence of MIIF and influence factor have been carried out theoretical derivation and analysis simultaneously, and the MIIF before improving computational methods so as to get result more rationally with accurately.
Description
Technical field
The invention belongs to technical field of HVDC transmission, a kind of based on depression of order Jacobian matrix
The analysis method of multiinfeed HVDC interaction factor.
Background technology
In ac and dc systems, receiving end AC system rack power is the deciding factor of system stability,
In theoretical research and engineer applied, generally use shortcircuit ratio (SCR) and effective shortcircuit ratio (ESCR)
Concept assess the relative strong or weak relation between AC system with straightflow system.Along with HVDC Transmission Technology
Development, electrical network occurs in that the grid structure that multiple current conversion station electrical distance is close, i.e. multiinfeed HVDC
System.Compared with single time straightflow system, in multiinfeed HVDC system, the voltage interaction between inverter will
System strength, commutation failure, transient overvoltage, fault recovery and power/voltage stability are produced shadow
Ring.Therefore count and between current conversion station, interactional many feedins shortcircuit ratio (MSCR) is more suitable for for evaluating
Relative strong or weak relation between many feedins AC system and straightflow system.
The computing formula of many feedins shortcircuit ratio (MSCR) utilizes many feedins interaction factor (MIIF)
The degree that influences each other between meter and multiple current conversion station, therefore the result of calculation of MIIF directly affects MSCR's
Effectiveness.At present, what the calculating of MIIF was widely used is the emulation experiment method of CIGRE working group proposition.
Although emulation experiment method can react the interaction size between multiinfeed HVDC accurately, single not from this
The principle of MIIF is disclosed in matter.MIIF has been carried out to a certain degree by some research and utilization nodal impedance matrixs
Explanation, but nodal impedance matrix sometimes (during such as system equipment active reactive characteristic changing) still
Can not describe the problem.Notice that MIIF essence has reacted the relation that voltage interacts, and voltage is mutual
The essence of effect is the change of reactive power distribution of AC network, therefore considers in terms of system load flow distribution pair
MIIF carries out research can inherently explain influencing each other between multiinfeed HVDC.
Summary of the invention
An object of the present invention is to provide a kind of analysis method of multiinfeed HVDC interaction factor, with
Solve analytical complexity of the prior art loaded down with trivial details, and the multiinfeed HVDC obtained interacts
Factor reliability and the low problem of accuracy.
In some illustrative embodiment, the analysis method of described base multiinfeed HVDC interaction factor,
Including: orthogonal streaming system is simplified and equivalent process, it is thus achieved that equivalent system；Set up described equivalent system
The depression of order Jacobian matrix inearized model of system；Many feedins are calculated straight by relevant Jacobian matrix element
Stream interaction factor.
Compared with prior art, the illustrative embodiment of the present invention includes advantages below:
The present invention, by setting up equivalent system linearization model, directly utilizes Jacobian matrix coherent element meter
Calculate MIIF, it is not necessary to by changing system existing running status, it is to avoid by emulation experiment to MIIF
Calculate.The present invention has carried out theoretical derivation and analysis to essence and the influence factor of MIIF simultaneously,
And improve former MIIF computational methods so as to get result more rationally with accurately.
Accompanying drawing explanation
Accompanying drawing described herein is used for providing a further understanding of the present invention, constitutes of the application
Point, the schematic description and description of the present invention is used for explaining the present invention, is not intended that the present invention's
Improper restriction.In the accompanying drawings:
Fig. 1 is the flow chart of the illustrative embodiment according to the present invention
Fig. 2 is 2 feedback orthogonal streaming systems of the illustrative embodiment according to the present invention；
Fig. 3 is the equivalent system of 2 feedback orthogonal streaming systems of the illustrative embodiment according to the present invention.
Detailed description of the invention
In the following detailed description, a large amount of specific detail is proposed, in order to provide the thorough reason to the present invention
Solve.However it will be understood by those of ordinary skill in the art that, even if not having these specific detail can implement this yet
Bright.In other cases, it is not described in wellknown method, process, assembly and circuit, with
Exempt to affect the understanding of the present invention.
For the illustrative embodiment being better understood from the present invention, below to illustrative embodiment of the present invention
In main thought be briefly described.
It is an object of the invention to provide a kind of based on depression of order Jacobian matrix for the deficiencies in the prior art
MIIF improve computational methods, be characterized in changing the existing operating condition of system, can directly lead to
Cross system load flow distribution and calculate MIIF, in itself MIIF is explained, and has higher
Accuracy.Compared with the method calculating MIIF based on nodal impedance matrix, the method compensate in system
The defect of MIIF cannot be accurately calculated during equipment active reactive characteristic changing.The method is original simultaneously
Computational methods based on depression of order Jacobian matrix on make improvement, further increase the efficiency of calculating with
Accuracy.
As it is shown in figure 1, disclose a kind of multiinfeed HVDC interaction based on depression of order Jacobian matrix because of
The analysis method of son, including:
S11, orthogonal streaming system is simplified and equivalent process, it is thus achieved that equivalent system；
S12, set up the depression of order Jacobian matrix inearized model of described equivalent system；
S13, calculate multiinfeed HVDC interaction factor by relevant Jacobian matrix element.
The present invention, by setting up equivalent system linearization model, directly utilizes Jacobian matrix coherent element meter
Calculate MIIF, it is not necessary to by changing system existing running status, it is to avoid by emulation experiment to MIIF
Calculate.The present invention has carried out theoretical derivation and analysis to essence and the influence factor of MIIF simultaneously,
And improve former MIIF computational methods so as to get result more rationally with accurately.
In some illustrative embodiment, for step S11, orthogonal streaming system is simplified and equivalence
Process, it is thus achieved that equivalent system proposes a preferred embodiment:
Orthogonal streaming system is as in figure 2 it is shown, carry out two feedthrough system generating sets and associated loadings circuit
Value, it is thus achieved that equivalent system as it is shown on figure 3, and the system after equivalence and real system are carried out contrast verification,
The result as a example by rectification side is as shown in table 1.
Wherein, the symbol in Fig. 3 is expressed as follows:
X_{i1}、X_{i2}Direct current 1,2 converter power transformer converts the impedance of secondary side；
T_{1}、T_{2}Direct current 1,2 converter power transformer noload voltage ratio；
P_{dc1}、jQ_{dc1}、P_{dc2}、jQ_{dc1}Direct current 1,2 injects the meritorious, idle of AC system；
P_{ac1}、jQ_{ac1}、P_{ac2}、jQ_{ac2}AC system accepts the meritorious, idle of direct current 1,2 injection；
P_{I1}、P_{I2}Gaining merit of direct current 1,2 conveying；
P_{12}、jQ_{12}Calculate the contact power between the node 1,2 considered；
Z_{1}= Z_{1}∠θ_{1}、Z_{2}= Z_{2}∠θ_{2}Direct current 1,2 AC equivalent impedance；
U_{s1}∠0、U_{s2}∠0、U_{1}∠δ_{1}、U_{2}∠δ_{2}To direct current 1,2 power supply equivalent power supply 1,2 with
And calculate node 1,2 voltage considered；
R_{l1}、R_{l2}、I_{d1}、I_{d2}DC line resistance and electric current；
Table 1 rectification side trend is distributed
As it can be seen from table 1 the system after equivalence is basically identical with original system, the result of inverter side is similar to,
No longer list result.
In some illustrative embodiment, at the described depression of order Jacobian matrix line setting up described equivalent system
Property model, also includes: set up under stable situation, DC side linear equation and AC linear equation；
According to described DC side linear equation and AC linear equation, set up refined gram of the depression of order of described equivalent system
Ratio linearization of matrix model.
In some illustrative embodiment, described DC side linear equation includes:
P_{dci}=U_{di}I_{di}
Wherein, P_{dci}The active power of AC system, U is injected for direct current i_{di}For inverter side DC voltage, I_{di}
Electric current for direct current i；
Wherein, U_{doi}For preferable floating voltage, γ_{i}For inverter side blowout angle, K_{m}For coefficient, E_{LL}For transformation
Device primary side voltage virtual value, B is bridge number；X_{i}The resistance of secondary side is converted for direct current i converter power transformer
Anti；T_{i}For direct current i converter power transformer noload voltage ratio；
Wherein, Q_{dci}The reactive power of AC system, μ is injected for direct current i_{i}For folded arc angle；
ΔP_{dci}=P_{Ii}P_{dci}
Wherein, Δ P_{dci}The increment of the active power of AC system, P is injected for direct current i_{Ii}Carry for direct current i
Active power, P_{dci}The active power of AC system is injected for direct current i.
In some illustrative embodiment, described AC linear equation includes:
Wherein, P_{aci}The active power that direct current i injects, U is accepted for AC system_{si}For the electricity to direct current i
Source, U_{i}For node voltage, Z on direct current i_{i}The impedance of AC system is injected for direct current i；θ_{i}Refer to direct current i
AC equivalent impedance angle；δ_{i}Refer to node voltage phase angle on direct current i；
Wherein, Q_{aci}The reactive power that direct current i injects is accepted for AC system；
ΔP_{aci}=P_{ij}+P_{dci}P_{aci}
Wherein, Δ P_{aci}The increment of the active power that direct current i injects, P is accepted for AC system_{ij}For node i,
Contact active power between j；
ΔQ_{aci}=Q_{ij}Q_{dci}Q_{aci}
Wherein, Δ Q_{aci}The increment of the reactive power that direct current i injects, Q is accepted for AC system_{ij}For node i,
Contact reactive power between j.
In some illustrative embodiment, the described depression of order Jacobian matrix setting up described equivalent system is linear
Change model, specifically include:
Choose Δ I_{d}, Δ δ and Δ U/U is state variable, builds and presents direct current inearized model more:
Wherein, Δ I_{d}Increment for DC line electric current；Δ δ is node voltage phase angle increment, and Δ U/U is
Node voltage increment and the ratio of self；
In some illustrative embodiment, described to calculate many feedins by relevant Jacobian matrix element straight
The process of stream interaction factor, including:
By described many feedback direct current inearized models, derive described multiinfeed HVDC interaction factor.
In some illustrative embodiment, described in derive described multiinfeed HVDC interaction factor, tool
Body includes:
1), due to DC current invariable, then Δ I_{d}=0, described many feedback direct current linearisation model degradation
For as follows:
2) the described many feedback direct current inearized models in, owing to system is in stable state, then make Δ δ=0,1)
Deteriorate to as follows:
ΔQ_{ac}=J_{QU}ΔU
According to 2) in degeneration formula calculate described multiinfeed HVDC interaction factor.
In some illustrative embodiment, described according to 2) in degeneration formula calculate described many feedins
Direct current interaction factor, specifically includes:
Described multiinfeed HVDC interaction factor is calculated according to equation below:
Wherein, MIIF_{ij}For described multiinfeed HVDC interaction factor.
Preferably, it is directed to the equivalent system shown in Fig. 3, sets up inearized model according to derivation conclusion,
And rectification side MIIF is calculated by the Jacobian matrix element directly utilized in model.To calculate simultaneously
Result with emulation to MIIF result compare, as shown in table 2.
Table 2 MIIF emulation and result of calculation
Table 2 understands MIIF12 Yu MIIF21 distribution and represents that rectification side direct current 2 is to direct current 1, direct current 1
Interaction factor to direct current 2.As shown in Table 2, computational methods based on the present invention and simulation result
Basically identical.
The explanation of above example is only intended to help to understand method and the core concept thereof of the present invention；With
Time, for one of ordinary skill in the art, according to the thought of the present invention, in detailed description of the invention and should
All will change with in scope, in sum, this specification content should not be construed as the present invention's
Limit.
Claims (6)
1. the analysis method of a multiinfeed HVDC interaction factor, it is characterised in that including:
Orthogonal streaming system is simplified and equivalent process, it is thus achieved that equivalent system；
Set up under stable situation, DC side linear equation and AC linear equation；
According to described DC side linear equation and AC linear equation, set up the depression of order of described equivalent system
Jacobian matrix inearized model；
Multiinfeed HVDC interaction factor is calculated by relevant Jacobian matrix element；
Wherein, described DC side linear equation includes:
P_{dci}=U_{di}I_{di}
Wherein, P_{dci}The active power of AC system, U is injected for direct current i_{di}For inverter side DC voltage, I_{di}
Electric current for direct current i；
Wherein, U_{doi}For preferable floating voltage, γ_{i}For inverter side blowout angle, K_{m}For coefficient, E_{LL}For transformation
Device primary side voltage virtual value, B is bridge number；X_{i}The resistance of secondary side is converted for direct current i converter power transformer
Anti；T_{i}For direct current i converter power transformer noload voltage ratio；
Wherein, Q_{dci}The reactive power of AC system, μ is injected for direct current i_{i}For folded arc angle；
ΔP_{dci}=P_{Ii}P_{dci}
Wherein, Δ P_{dci}The active power increment of AC system, P is injected for direct current i_{Ii}For direct current i conveying
Active power, P_{dci}The active power of AC system is injected for direct current i.
Analysis method the most according to claim 1, it is characterised in that described AC linearly side
Journey includes:
Wherein, P_{aci}The active power that direct current i injects, U is accepted for AC system_{si}For the electricity to direct current i
Source, U_{i}For node voltage, Z on direct current i_{i}The impedance of AC system is injected for direct current i；θ_{i}Refer to direct current i
AC equivalent impedance angle；δ_{i}Refer to node voltage phase angle on direct current i；
Wherein, Q_{aci}The reactive power that direct current i injects is accepted for AC system；
ΔP_{aci}=P_{ij}+P_{dci}P_{aci}
Wherein, Δ P_{aci}The increment of the active power that direct current i injects, P is accepted for AC system_{ij}For node i,
Contact active power between j；
ΔQ_{aci}=Q_{ij}Q_{dci}Q_{aci}
Wherein, Δ Q_{aci}The increment of the reactive power that direct current i injects, Q is accepted for AC system_{ij}For node i,
Contact reactive power between j.
Analysis method the most according to claim 2, it is characterised in that described set up described equivalence
The depression of order Jacobian matrix inearized model of system, specifically includes:
Choose Δ I_{d}, Δ δ and Δ U/U is state variable, builds and presents direct current inearized model more:
Wherein, Δ I_{d}Increment for DC line electric current；Δ δ is node voltage phase angle increment, and Δ U/U is
Node voltage increment and the ratio of self.
Analysis method the most according to claim 3, it is characterised in that described by relevant refined gram
The process of multiinfeed HVDC interaction factor is calculated than matrix element, including:
By described many feedback direct current inearized models, derive described multiinfeed HVDC interaction factor.
Analysis method the most according to claim 4, it is characterised in that described in derive described many
Feedin direct current interaction factor, specifically includes:
1), due to DC current invariable, then Δ I_{d}=0, described many feedback direct current linearisation model degradation
For as follows:
2) the described many feedback direct current inearized models in, owing to system is in stable state, then make Δ δ=0,1)
Deteriorate to as follows:
ΔQ_{ac}=J_{QU}ΔU
According to 2) in degeneration formula calculate described multiinfeed HVDC interaction factor.
Analysis method the most according to claim 5, it is characterised in that described according to 2) in move back
Change formula and calculate described multiinfeed HVDC interaction factor, specifically include:
Described multiinfeed HVDC interaction factor is calculated according to equation below:
Wherein, MIIF_{ij}For described multiinfeed HVDC interaction factor.
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CN104967152B (en) *  20150717  20171128  华中科技大学  A kind of voltage stability appraisal procedure of more feedin AC/DC mixed power systems 
CN105356481B (en) *  20151118  20181204  中国电力科学研究院  A kind of dynamic passive compensation reconnaissance method based on more feedin shortcircuit ratioes 
CN106786493A (en) *  20170217  20170531  云南电网有限责任公司  A kind of practical calculation method of multiinfeed HVDC interaction factor 
CN108233400A (en) *  20171215  20180629  华南理工大学  A kind of more feedin interaction factor computational methods of meter and hvdc control mode 
CN109193737B (en) *  20180930  20210119  南方电网科学研究院有限责任公司  MIIF analysis method, device, equipment and medium under control of constant current and constant extinction angle 
CN110190617B (en) *  20190606  20210126  广东电网有限责任公司  Evaluation method, system, device and storage medium for multifeedin direct current power system 
CN112347598B (en) *  20190722  20221014  中国航发商用航空发动机有限责任公司  Doublecoveringlayer structure eddy current detection method 
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