CN105743116A - Subsynchronous oscillation evaluation method of alternating-current/direct-current hybrid power system - Google Patents

Subsynchronous oscillation evaluation method of alternating-current/direct-current hybrid power system Download PDF

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CN105743116A
CN105743116A CN201610323125.7A CN201610323125A CN105743116A CN 105743116 A CN105743116 A CN 105743116A CN 201610323125 A CN201610323125 A CN 201610323125A CN 105743116 A CN105743116 A CN 105743116A
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voltage
sub
electric unit
power system
synchronous oscillation
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CN201610323125.7A
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CN105743116B (en
Inventor
黄俊辉
高山
蔡晖
祁万春
赵欣
王哲
王思成
李辰
窦飞
陆军
韩海腾
张潮
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State Grid Corp of China SGCC
Southeast University
Economic and Technological Research Institute of State Grid Jiangsu Electric Power Co Ltd
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State Grid Corp of China SGCC
Southeast University
Economic and Technological Research Institute of State Grid Jiangsu Electric Power Co Ltd
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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
    • H02J3/36—Arrangements for transfer of electric power between ac networks via a high-tension 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
    • H02J3/00—Circuit arrangements for ac mains or ac distribution networks
    • H02J3/36—Arrangements for transfer of electric power between ac networks via a high-tension dc link
    • H02J2003/365—Reducing harmonics or oscillations in HVDC
    • 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
    • H02J3/003—Load forecast, e.g. methods or systems for forecasting future load demand
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE 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]

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  • Engineering & Computer Science (AREA)
  • Power Engineering (AREA)
  • Control Of Multiple Motors (AREA)
  • Supply And Distribution Of Alternating Current (AREA)

Abstract

The invention discloses a subsynchronous oscillation evaluation method of an alternating-current/direct-current hybrid power system, which belongs to the technical field of planning and operation of power systems. The method comprises the following steps: S1, establishing a subsynchronous oscillation research model of a high-voltage direct-current power transmission (HVDC) unit; S2, according to the position of the HVDC unit in a power grid and a trend of the HVDC unit when in real operation, analyzing the coupling strength between the HVDC unit and various generator units in the power grid, and determining a generator to be researched; S3, according to an equivalent boundary of a system formed by the HVDC unit and the generator to be researched, simplifying the alternating-current/direct-current hybrid power system to obtain an equivalent simplified system of the alternating-current/direct-current hybrid power system; and S4, according to the equivalent simplified system, calculating electric damping and a subsynchronous oscillation evaluation index of the generator to be researched at each intrinsic torsion frequency. The invention also discloses a planning and designing method of the alternating-current/direct-current hybrid power system. By adopting the method, the subsynchronnous oscillation behavior of the alternating-current/direct-current hybrid power system comprising the HVDC unit can be accurately evaluated and predicted.

Description

The sub-synchronous oscillation appraisal procedure of AC/DC mixed power system
Technical field
The present invention relates to Power System Planning and running technology field, particularly relate to the sub-synchronous oscillation appraisal procedure of a kind of AC/DC mixed power system.
Background technology
Alternating current-direct current mixing transmission of electricity is with its method of operation feature flexibly so that D.C. high voltage transmission is widely used in actual electric network, while bringing great economic benefit, also brings new challenge to power system.Inappropriate direct current transportation controls likely to cause sub-synchronous oscillation, causes the heavy damage of rectification side AC system electric generating set rotor axle system.
High voltage dc transmission technology (HVDC) is that Power Electronic Technique applies in power system field of power transmission is also simultaneously comparatively ripe technology the earliest.High-voltage dc transmission electric unit, by being galvanic commutator, HVDC transmission line by convert alternating current and inverter three part that DC power conversion is alternating current being formed, from structure, is the power electronics converter circuit of AC-DC-form of communication.Cost and the operating cost of HVDC transmission line are lower than ac transmission, and for same transmission line capability, fed distance is more remote, and direct current is more better than the economic performance of exchange.And direct current transportation is absent from angle stability problem, connected both sides electrical network is without synchronous operation, and therefore direct current transportation can realize the asynchronous interconnection of electrical network, plays the effect of frequency changer, can in the scope that place capacity and receiving end AC system capacity allow, Large Copacity transmits electric power.In addition direct current transportation has the advantages that trend is quickly controlled, can be used for the stable of connected AC system and FREQUENCY CONTROL, the inverter of direct current transportation is the electrical energy control circuit that electrically-based electronic device is constituted, it is accurate rapidly to the control of the direction of energy, for both-end direct current transportation, the reversion of trend can be realized rapidly.
The reasonability of HVDC means and practicality are substantially embodied in remote, large capacity transmission.Along with the development of Power Electronic Technique, this advantage is more notable.But direct current transportation is a complicated system, relate to components and parts substantial amounts of, numerous in variety and equipment, it is extremely complex that it controls system, control strategy variation, inappropriate control strategy and control parameter are likely to result in the generation of sub-synchronous oscillation, are unfavorable for the interconnection between AC and DC system.Therefore it is highly desirable to the interaction between AC and DC system and coordination control are studied fully, control strategy and control Parameters variation for D.C. high voltage transmission carry out model foundation and analysis and assessment for aspects such as sub-synchronous oscillation impacts, provide with the planning operation to power system and instruct.
Summary of the invention
The technical problem to be solved is in that to overcome prior art not enough, the sub-synchronous oscillation appraisal procedure of a kind of AC/DC mixed power system is provided, the sub-synchronous oscillation behavior of the AC/DC mixed power system comprising HVDC can be assessed accurately prediction, and then foundation is instructed in the planning operation offer of power system.
The present invention specifically solves above-mentioned technical problem by the following technical solutions:
The sub-synchronous oscillation appraisal procedure of a kind of AC/DC mixed power system, described AC/DC mixed power system includes high-voltage dc transmission electric unit and some generating sets；Described appraisal procedure comprises the following steps:
Step 1, set up the sub-synchronous oscillation research model of described high-voltage dc transmission electric unit；
Step 2, according to described high-voltage dc transmission electric unit position in electrical network and actual motion time this high-voltage dc transmission electric unit trend trend, that analyzes this high-voltage dc transmission electric unit generating set each with electrical network couples power, it is determined that group of motors yet-to-be developed；
Step 3, the system constituted according to high-voltage dc transmission electric unit and group of motors yet-to-be developed Equivalent Boundary described AC/DC mixed power system is carried out abbreviation, obtain the equivalent-simplification system of AC/DC mixed power system；
Step 4, according to described equivalent-simplification system, calculate the electrical damping under each intrinsic torsion frequency of group of motors yet-to-be developed and sub-synchronous oscillation evaluation index, specifically comprise the following steps that
Step 4-1, sub-synchronous oscillation research model to described high-voltage dc transmission electric unit carry out linearisation, obtain the state equation of described high-voltage dc transmission electric unit；
Step 4-2, determine and the common coordinate system xy of described equivalent-simplification system high-voltage dc transmission electric unit both end voltage is decomposed xy coordinate system；
Step 4-3, it is calculated eliminating intermediate variable, uses complex torque coefficients to obtain the electrical damping expression formula of group of motors yet-to-be developed；
Step 4-4, according to the system equiva lent impedance under the obtained each intrinsic torsion frequency of electrical damping expression parsing group of motors yet-to-be developed, and calculate corresponding sub-synchronous oscillation evaluation index Index according to following formula, the value of sub-synchronous oscillation evaluation index Index is more little, it was shown that the risk of described AC/DC mixed power system generation sub-synchronous oscillation is more big:
I n d e x = - ( f - f n ) 8 f n H n ( R R 2 + X 2 )
In formula, the intrinsic torsion frequency f of R, X respectively group of motors yet-to-be developednUnder the equivalent resistance of system, equivalent reactance, f is system synchronization frequency, HnFor with group of motors yet-to-be developed in intrinsic torsional oscillation frequency fnThe constant being associated.
Preferably, the sub-synchronous oscillation research model set up in step 1 is quasi steady state model.
Preferably, described step 3 specifically includes following sub-step:
Step 3-1, centered by high-voltage dc transmission electric unit and group of motors yet-to-be developed, outwards retain the transformer station region of one trunk rack electric pressure of distance, as the Equivalent Boundary of the system that high-voltage dc transmission electric unit and group of motors yet-to-be developed are constituted；
Step 3-2, based on described Equivalent Boundary, calculate the system that high-voltage dc transmission electric unit constitutes with group of motors yet-to-be developed and respectively exchange the equiva lent impedance of branch road；
Step 3-3, based on the steady operational status of AC/DC mixed power system and trend, and in conjunction with the equiva lent impedance of described Equivalent Boundary point, the external network equivalent outside described Equivalent Boundary is become power supply or load, and determines the parameter of this power supply or load.
Preferably, step 2 use unit function coefficient method determine group of motors yet-to-be developed.
Techniques below scheme can also be obtained according to identical invention thinking:
The planning and designing method of a kind of AC/DC mixed power system, described AC/DC mixed power system includes high-voltage dc transmission electric unit and some generating sets；When adopting different control modes and parameter at high-voltage dc transmission electric unit, the method described in as above any technology scheme that is utilized respectively carries out the sub-synchronous oscillation assessment of AC/DC mixed power system, and according to the control mode of the least risk that assessment result is described D.C. high voltage transmission unit selection generation sub-synchronous oscillation and parameter.
Compared to existing technology, technical solution of the present invention has the advantages that
Present invention achieves under considering D.C. high voltage transmission situation, whether accurate evaluation power system can occur sub-synchronous oscillation and sub-synchronous oscillation strong and weak, can effectively analyzing the D.C. high voltage transmission influence degree for sub-synchronous oscillation, planning and operation to actual electric network have important practical significance.
Accompanying drawing explanation
Fig. 1 is the structural representation of HVDC.
Detailed description of the invention
Below in conjunction with accompanying drawing, technical scheme is described in detail:
Planning and designing method of the present invention is for the AC/DC mixed power system comprising high-voltage dc transmission electric unit (HVDC), first it is carried out sub-synchronous oscillation assessment, obtain the electrical damping under each intrinsic torsion frequency of group of motors yet-to-be developed and sub-synchronous oscillation evaluation index；Then adjust control mode and the parameter of HVDC, and repeat sub-synchronous oscillation assessment, select to occur control mode and the parameter of the least risk of sub-synchronous oscillation finally according to sub-synchronous oscillation assessment result.Its basic procedure is specific as follows:
Step 1, acquisition the rack data of AC/DC mixed power system, intrasystem generating set data, HVDC service data (including control mode and parameter).
Step 2, set up the sub-synchronous oscillation research model of described high-voltage dc transmission electric unit；
The sub-synchronous oscillation research model of the HVDC that present invention preferably employs is quasi steady state model.The sub-synchronous oscillation research model set up in the present embodiment is specific as follows:
HVDC structure as shown in Figure 1, if HVDC two ends are connected with any two node k and m of AC transmission system respectively, two node voltage phasor are respectivelyWithElectric current phasor is respectivelyWithN ' is rectification side converter power transformer no-load voltage ratio, n, and " for inverter side converter power transformer no-load voltage ratio, α is commutator Trigger Angle, and β is inverter Advanced firing angle, and γ is the blow-out angle of inverter, LdThe respectively reactance peace ripple reactance value sum on HVDC circuit, RdIt is the resistance value of HVDC circuit, CdIt is the direct-to-ground capacitance value of HVDC circuit, X ' and X " the respectively commutation equivalent reactance of commutator and inverter, I 'dFor rectifier current output, I "dFor input current of inverter, V 'd0Commutator ideal floating voltage, V 'dFor actual commutating voltage, V "d0For inverter ideal floating voltage, V "dFor actual inverter voltage, Vd1For HVDC line-to-earth voltage,WithThe respectively power factor of two node k and m, p is differential operator.Kr,Td,Tr,Ki,TiFor various setting control regulative mode parameters, Δ α0With Δ β0Respectively rectification side and inverter side setting control regulate difference.
Have in rectification side:
V d 0 ′ = 3 2 π n ′ V k - - - ( 1 )
V d ′ = V d 0 ′ c o s α - 3 π X ′ I ′ d - - - ( 2 )
I k = 3 2 π n ′ I ′ d - - - ( 3 )
DC power transmission line equation is:
Ld·pI′d=-RdI′d+V′d-Vd1(8)
Cd·pVd1=I 'd-I″d(9)
Ld·pI″d=-RdI″d+Vd1-V″d(10)
Have in inverter side:
V d 0 ′ ′ = 3 2 π n ′ ′ V m - - - ( 11 )
V d ′ ′ = V d 0 ′ ′ c o s β + 3 π X ′ ′ I ′ ′ d - - - ( 12 )
I m = 3 2 π n ′ ′ I ′ ′ d - - - ( 13 )
Step 3, according to described high-voltage dc transmission electric unit position in electrical network and actual motion time this high-voltage dc transmission electric unit trend trend, that analyzes this high-voltage dc transmission electric unit generating set each with electrical network couples power, it is determined that group of motors yet-to-be developed；Present invention preferably employs unit function coefficient method and determine group of motors yet-to-be developed.
Step 4, the system constituted according to high-voltage dc transmission electric unit and group of motors yet-to-be developed Equivalent Boundary described AC/DC mixed power system is carried out abbreviation, obtain the equivalent-simplification system of AC/DC mixed power system；System abbreviation process in the present embodiment is specific as follows:
Step 4-1, centered by high-voltage dc transmission electric unit and group of motors yet-to-be developed, outwards retain the transformer station region of one trunk rack electric pressure of distance, as the Equivalent Boundary of the system that high-voltage dc transmission electric unit and group of motors yet-to-be developed are constituted；
Step 4-2, based on described Equivalent Boundary, calculate the system that high-voltage dc transmission electric unit constitutes with group of motors yet-to-be developed and respectively exchange the equiva lent impedance of branch road；
Step 4-3, based on the steady operational status of AC/DC mixed power system and trend, and in conjunction with the equiva lent impedance of described Equivalent Boundary point, the external network equivalent outside described Equivalent Boundary is become power supply or load, and determines the parameter of this power supply or load.
Step 5, according to described equivalent-simplification system, calculate the electrical damping under each intrinsic torsion frequency of group of motors yet-to-be developed and sub-synchronous oscillation evaluation index, specifically comprise the following steps that
Step 5-1, sub-synchronous oscillation research model to described high-voltage dc transmission electric unit carry out linearisation, obtain the state equation of described high-voltage dc transmission electric unit；The sub-synchronous oscillation research model adopted in the present embodiment is carried out line
Property, taking state variable is:
XDC=[Δ α0,ΔI′d,ΔVd1,ΔI″d,Δβ0]T(17)
Obtaining HVDC equation of state is:
BD·pXDC=CDXDC+DkVkDC+DmVmDC(18)
Rk·IkDC=SkXDC+TkVkDC(19)
Rm·ImDC=SmXDC+TmVmDC(20)
Step 5-2, determine the common coordinate system xy of described equivalent-simplification system, by high-voltage dc transmission electric unit both end voltage VkAnd VmDecompose xy coordinate system:
Vk=Ek·VkDC, Ik=Fk·IkDC(21)
Vm=Em·VmDC, Im=Fm·ImDC(22)
Step 5-3, it is calculated eliminating intermediate variable, uses complex torque coefficients to obtain the electrical damping expression formula of group of motors yet-to-be developed；The present embodiment eliminates intermediate variable XDCAfter can obtain:
I k = Y k k · V k + Y k m V m I m = Y m k · V k + Y m m V m - - - ( 23 )
By formula (23) and system other parts simultaneous, the electrical damping expression formula of group of motors yet-to-be developed can be obtained with complex torque coefficients.
Step 5-4, according to the system equiva lent impedance under the obtained each intrinsic torsion frequency of electrical damping expression parsing group of motors yet-to-be developed, and calculate corresponding sub-synchronous oscillation evaluation index Index according to following formula, the value of sub-synchronous oscillation evaluation index Index is more little, it was shown that the risk of described AC/DC mixed power system generation sub-synchronous oscillation is more big:
I n d e x = - ( f - f n ) 8 f n H n ( R R 2 + X 2 ) - - - ( 24 )
In formula, the intrinsic torsion frequency f of R, X respectively group of motors yet-to-be developednUnder the equivalent resistance of system, equivalent reactance, f is system synchronization frequency, HnFor with group of motors yet-to-be developed in intrinsic torsional oscillation frequency fnThe constant being associated.
Step 6, the control mode adjusting HVDC and parameter, and repeat above step 1～5, obtain HVDC sub-synchronous oscillation evaluation index of AC/DC mixed power system under different control modes and parameter, and by comparing these sub-synchronous oscillation evaluation indexes, choose the control mode and parameter that produce sub-synchronous oscillation least risk for HVDC.
In order to instruct the planning and designing of AC/DC mixed power system quickly and easily, can according to the sub-synchronous oscillation appraisal procedure of the present invention, MATLAB or SIMULINK sets up the sub-synchronous oscillation assessment phantom of AC/DC mixed power system, by adjusting control mode and the parameter combination of HVDC in phantom, the sub-synchronous oscillation assessment result under control modes different for HVDC and parameter combine can be obtained conveniently and efficiently, and then instruct the planning and designing of AC/DC mixed power system.

Claims (5)

1. a sub-synchronous oscillation appraisal procedure for AC/DC mixed power system, described AC/DC mixed power system includes high-voltage dc transmission electric unit and some generating sets；It is characterized in that, described appraisal procedure comprises the following steps:
Step 1, set up the sub-synchronous oscillation research model of described high-voltage dc transmission electric unit；
Step 2, according to described high-voltage dc transmission electric unit position in electrical network and actual motion time this high-voltage dc transmission electric unit trend trend, that analyzes this high-voltage dc transmission electric unit generating set each with electrical network couples power, it is determined that group of motors yet-to-be developed；
Step 3, the system constituted according to high-voltage dc transmission electric unit and group of motors yet-to-be developed Equivalent Boundary described AC/DC mixed power system is carried out abbreviation, obtain the equivalent-simplification system of AC/DC mixed power system；
Step 4, according to described equivalent-simplification system, calculate the electrical damping under each intrinsic torsion frequency of group of motors yet-to-be developed and sub-synchronous oscillation evaluation index, specifically comprise the following steps that
Step 4-1, sub-synchronous oscillation research model to described high-voltage dc transmission electric unit carry out linearisation, obtain the state equation of described high-voltage dc transmission electric unit；
Step 4-2, determine and the common coordinate system xy of described equivalent-simplification system high-voltage dc transmission electric unit both end voltage is decomposed xy coordinate system；
Step 4-3, it is calculated eliminating intermediate variable, uses complex torque coefficients to obtain the electrical damping expression formula of group of motors yet-to-be developed；
Step 4-4, according to the system equiva lent impedance under the obtained each intrinsic torsion frequency of electrical damping expression parsing group of motors yet-to-be developed, and calculate corresponding sub-synchronous oscillation evaluation index Index according to following formula, the value of sub-synchronous oscillation evaluation index Index is more little, it was shown that the risk of described AC/DC mixed power system generation sub-synchronous oscillation is more big:
I n d e x = - ( f - f n ) 8 f n H n ( R R 2 + X 2 )
In formula, the intrinsic torsion frequency f of R, X respectively group of motors yet-to-be developednUnder the equivalent resistance of system, equivalent reactance, f is system synchronization frequency, HnFor with group of motors yet-to-be developed in intrinsic torsional oscillation frequency fnThe constant being associated.
2. sub-synchronous oscillation appraisal procedure as claimed in claim 1, it is characterised in that the sub-synchronous oscillation research model set up in step 1 is quasi steady state model.
3. sub-synchronous oscillation appraisal procedure as claimed in claim 1, it is characterised in that described step 3 specifically includes following sub-step:
Step 3-1, centered by high-voltage dc transmission electric unit and group of motors yet-to-be developed, outwards retain the transformer station region of one trunk rack electric pressure of distance, as the Equivalent Boundary of the system that high-voltage dc transmission electric unit and group of motors yet-to-be developed are constituted；
Step 3-2, based on described Equivalent Boundary, calculate the system that high-voltage dc transmission electric unit constitutes with group of motors yet-to-be developed and respectively exchange the equiva lent impedance of branch road；
Step 3-3, based on the steady operational status of AC/DC mixed power system and trend, and in conjunction with the equiva lent impedance of described Equivalent Boundary point, the external network equivalent outside described Equivalent Boundary is become power supply or load, and determines the parameter of this power supply or load.
4. sub-synchronous oscillation appraisal procedure as claimed in claim 1, it is characterised in that use unit function coefficient method to determine group of motors yet-to-be developed in step 2.
5. a planning and designing method for AC/DC mixed power system, described AC/DC mixed power system includes high-voltage dc transmission electric unit and some generating sets；It is characterized in that, when adopting different control modes and parameter at high-voltage dc transmission electric unit, the method as described in any one of Claims 1 to 4 that is utilized respectively carries out the sub-synchronous oscillation assessment of AC/DC mixed power system, and according to the control mode of the least risk that assessment result is described D.C. high voltage transmission unit selection generation sub-synchronous oscillation and parameter.
CN201610323125.7A 2016-05-16 2016-05-16 The sub-synchronous oscillation appraisal procedure of AC/DC mixed power system Active CN105743116B (en)

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