CN105743116B - The sub-synchronous oscillation appraisal procedure of AC/DC mixed power system - Google Patents

The sub-synchronous oscillation appraisal procedure of AC/DC mixed power system Download PDF

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CN105743116B
CN105743116B CN201610323125.7A CN201610323125A CN105743116B CN 105743116 B CN105743116 B CN 105743116B CN 201610323125 A CN201610323125 A CN 201610323125A CN 105743116 B CN105743116 B CN 105743116B
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sub
voltage
synchronous oscillation
motors
developed
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CN105743116A (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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    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/36Arrangements for transfer of electric power between ac networks via a high-tension dc link
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/36Arrangements for transfer of electric power between ac networks via a high-tension dc link
    • H02J2003/365Reducing harmonics or oscillations in HVDC
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J2203/00Indexing scheme relating to details of circuit arrangements for AC mains or AC distribution networks
    • H02J2203/20Simulating, e g planning, reliability check, modelling or computer assisted design [CAD]
    • HELECTRICITY
    • H02GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
    • H02JCIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
    • H02J3/00Circuit arrangements for ac mains or ac distribution networks
    • H02J3/003Load forecast, e.g. methods or systems for forecasting future load demand
    • YGENERAL 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
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E60/00Enabling technologies; Technologies with a potential or indirect contribution to GHG emissions mitigation
    • Y02E60/60Arrangements 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)
  • Supply And Distribution Of Alternating Current (AREA)
  • Control Of Multiple Motors (AREA)

Abstract

The invention discloses a kind of sub-synchronous oscillation appraisal procedure of AC/DC mixed power system, belong to Power System Planning and running technology field.This method includes:S1, the sub-synchronous oscillation research model for establishing high-voltage dc transmission electric unit HVDC;S2, moved towards according to the trend of HVDC when positions of the D.C. high voltage transmission HVDC in power network and actual motion, it is strong and weak to analyze the HVDC and each generating set in power network coupling, determines group of motors yet-to-be developed;S3, the Equivalent Boundary of the system formed according to HVDC and group of motors yet-to-be developed carry out abbreviation to AC/DC mixed power system, obtain the equivalent-simplification system of AC/DC mixed power system;S4, according to equivalent-simplification system, calculate electrical damping and sub-synchronous oscillation evaluation index under each intrinsic torsion frequency of group of motors yet-to-be developed.The invention also discloses a kind of planning and designing method of AC/DC mixed power system.The present invention can be to the AC/DC mixed power system comprising HVDC sub-synchronous oscillation behavior carry out accurate assessment prediction.

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, more particularly to a kind of AC/DC mixed power system Sub-synchronous oscillation appraisal procedure.
Background technology
Alternating current-direct current mixing transmission of electricity with its method of operation it is flexible the characteristics of so that D.C. high voltage transmission is widely used in reality Power network, while great economic benefit is brought, new challenge is also brought to power system.Inappropriate direct current transportation control has Sub-synchronous oscillation may be triggered, cause the heavy damage of rectification side AC system electric generating set rotor shafting.
High voltage dc transmission technology (HVDC) is that Power Electronic Technique is applied earliest simultaneously in power system field of power transmission And more ripe technology.High-voltage dc transmission electric unit is by rectifier, the HVDC by convert alternating current for direct current Transmission line of electricity and the inverter three parts composition by DC power conversion for alternating current, are AC-DC-friendships from structure The power electronics converter circuit of manifold formula.Cost and operating cost the ratio ac transmission of HVDC transmission line are low, for same Sample transmission line capability, fed distance is more remote, and direct current is better than the economic performance of exchange.And direct current transportation is asked in the absence of angle stability Topic, connecting both sides power network need not run simultaneously, therefore direct current transportation can realize the asynchronous interconnection of power network, play frequency changer Effect, can be in the range of place capacity and receiving end AC system capacity allow, Large Copacity transmits electric power.In addition direct current transportation With trend it is quickly controllable the characteristics of, available for the stabilization and FREQUENCY CONTROL of connected AC system, the transverter of direct current transportation is The electrical energy control circuit formed based on power electronic devices, its control to the direction of energy is rapid and accurate, defeated to both-end direct current For electricity, the reversion of trend can be realized rapidly.
The reasonability and practicality of HVDC means are substantially embodied in remote, large capacity transmission.With electricity The development of power electronic technology, this advantage are more notable.But direct current transportation is a complicated system, be related to it is substantial amounts of, Component numerous in variety and equipment, its control system is extremely complex, control strategy variation, inappropriate control strategy and control Parameter processed is likely to result in the generation of sub-synchronous oscillation, the interconnection being unfavorable between AC and DC system.Therefore it is highly desirable pair Interaction and coordination control between AC and DC system are sufficiently studied, the control plan for D.C. high voltage transmission Slightly and control parameter change carries out model foundation and analysis and assessment for sub-synchronous oscillation influence etc., with to power system Planning operation provides guidance.
The content of the invention
The technical problems to be solved by the invention are to overcome prior art insufficient, there is provided a kind of alternating current-direct current blended electric power system The sub-synchronous oscillation appraisal procedure of system, sub-synchronous oscillation behavior that can be to the AC/DC mixed power system comprising HVDC are carried out Accurate assessment prediction, and then foundation is instructed to the planning operation offer of power system.
It is of the invention specifically to solve above-mentioned technical problem using following technical scheme:
A kind of sub-synchronous oscillation appraisal procedure of AC/DC mixed power system, the AC/DC mixed power system include High-voltage dc transmission electric unit and some generating sets;The appraisal procedure comprises the following steps:
Step 1, the sub-synchronous oscillation research model for establishing the high-voltage dc transmission electric unit;
Step 2, according to HVDC when position of the high-voltage dc transmission electric unit in power network and actual motion The trend trend of power transmission unit, the coupling power of the high-voltage dc transmission electric unit and each generating set in power network is analyzed, it is determined that Group of motors yet-to-be developed;
Step 3, the Equivalent Boundary of the system formed according to high-voltage dc transmission electric unit with group of motors yet-to-be developed are to described AC/DC mixed power system carries out abbreviation, obtains the equivalent-simplification system of AC/DC mixed power system;
Step 4, according to the equivalent-simplification system, calculate the electrical damping under each intrinsic torsion frequency of group of motors yet-to-be developed With sub-synchronous oscillation evaluation index, comprise the following steps that:
Step 4-1, the sub-synchronous oscillation research to the high-voltage dc transmission electric unit is linearized with model, obtains institute State the state equation of high-voltage dc transmission electric unit;
Step 4-2, the common coordinate system xy of the equivalent-simplification system is determined, by high-voltage dc transmission electric unit both end voltage Decompose xy coordinate systems;
Step 4-3, carry out calculating and eliminate intermediate variable, the electric resistance of group of motors yet-to-be developed is obtained using complex torque coefficients Buddhist nun's expression formula;
Step 4-4, according under resulting each intrinsic torsion frequency of electrical damping expression parsing group of motors yet-to-be developed System equiva lent impedance, and corresponding sub-synchronous oscillation evaluation index Index, sub-synchronous oscillation evaluation index are calculated according to following formula Index value is smaller, shows that the risk of the AC/DC mixed power system generation sub-synchronous oscillation is bigger:
In formula, R, X are respectively the intrinsic torsion frequency f of group of motors yet-to-be developednUnder the equivalent resistance of system, equivalent electric Anti-, f is system synchronization frequency, HnFor with group of motors yet-to-be developed with intrinsic torsional oscillation frequency fnAssociated constant.
Preferably, the sub-synchronous oscillation research established in step 1 is quasi steady state model with model.
Preferably, the step 3 specifically includes following sub-step:
Step 3-1, centered on high-voltage dc transmission electric unit and group of motors yet-to-be developed, one backbone network of distance is outwards retained The transformer station region of frame voltage class, the equivalent side of the system formed as high-voltage dc transmission electric unit and group of motors yet-to-be developed Boundary;
Step 3-2, based on the Equivalent Boundary, calculate high-voltage dc transmission electric unit is with what group of motors yet-to-be developed was formed Unite it is each exchange branch road equiva lent impedance;
Step 3-3, steady operational status and trend based on AC/DC mixed power system, and with reference to the Equivalent Boundary The equiva lent impedance of point, by the external network equivalent outside the Equivalent Boundary into power supply or load, and determine the power supply or load Parameter.
Preferably, group of motors yet-to-be developed is determined using unit function coefficient method in step 2.
Following technical scheme can also be obtained according to identical invention thinking:
A kind of planning and designing method of AC/DC mixed power system, the AC/DC mixed power system include high straightening Flow power transmission unit and some generating sets;The situation of different control mode and parameter is used in high-voltage dc transmission electric unit Under, the sub-synchronous oscillation assessment that as above any technical scheme methods described carries out AC/DC mixed power system is utilized respectively, and According to the control mode and ginseng that assessment result is the least risk that sub-synchronous oscillation occurs for the D.C. high voltage transmission unit selection Number.
Compared with prior art, technical solution of the present invention has the advantages that:
The present invention is realized in the case of D.C. high voltage transmission is considered, it is subsynchronous whether accurate evaluation power system can occur Vibration and sub-synchronous oscillation are strong and weak, influence degree of the D.C. high voltage transmission for sub-synchronous oscillation can be effectively analyzed, to reality The planning and operation of power network have important practical significance.
Brief description of the drawings
Fig. 1 is HVDC structural representation.
Embodiment
Technical scheme is described in detail below in conjunction with the accompanying drawings:
Planning and designing method of the present invention is directed to the AC/DC mixed power system for including high-voltage dc transmission electric unit (HVDC), Sub-synchronous oscillation assessment is carried out to it first, obtains electrical damping under each intrinsic torsion frequency of group of motors yet-to-be developed and subsynchronous Vibrate evaluation index;Then HVDC control mode and parameter are adjusted, and repeats sub-synchronous oscillation assessment, it is last according to secondary The control mode and parameter of the least risk of sub-synchronous oscillation occur for the selection of synchronized oscillation assessment result.Its basic procedure is specific such as Under:
Step 1, the rack data for obtaining AC/DC mixed power system, the generating set data in system, HVDC operations Data (including control mode and parameter).
Step 2, the sub-synchronous oscillation research model for establishing the high-voltage dc transmission electric unit;
Present invention preferably employs HVDC sub-synchronous oscillation research with model be quasi steady state model.Built in the present embodiment Vertical sub-synchronous oscillation research model is specific as follows:
HVDC structures as shown in Figure 1, if HVDC both ends any two node k and the m phase with AC transmission system respectively Even, two node voltage phasors are respectivelyWithElectric current phasor is respectivelyWithN ' is Rectification side converter power transformer no-load voltage ratio, n " are inverter side converter power transformer no-load voltage ratio, and α is rectifier Trigger Angle, and β is that inverter touches in advance Send out angle, γ be inverter blow-out angle, LdReactance peace ripple reactance value sum respectively on HVDC circuits, RdIt is HVDC circuits Resistance value, CdIt is the direct-to-ground capacitance value of HVDC circuits, X ' and X " are respectively the commutation equivalent reactance of rectifier and inverter, I 'd For rectifier current output, I "dFor input current of inverter, V 'd0Rectifier ideal floating voltage, V 'dFor actual commutating voltage, V″d0For inverter ideal floating voltage, V "dFor actual inverter voltage, Vd1For HVDC line-to-earth voltages,WithRespectively two node k and m power factor, p is differential operator.Kr,Td,Tr,Ki,TiAdjusted for various setting controls Mode parameter, Δ α0With Δ β0Respectively rectification side and inverter side setting control regulation difference.
Have in rectification side:
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:
Step 3, according to HVDC when position of the high-voltage dc transmission electric unit in power network and actual motion The trend trend of power transmission unit, the coupling power of the high-voltage dc transmission electric unit and each generating set in power network is analyzed, it is determined that Group of motors yet-to-be developed;Present invention preferably employs unit function coefficient method to determine group of motors yet-to-be developed.
Step 4, the Equivalent Boundary of the system formed according to high-voltage dc transmission electric unit with group of motors yet-to-be developed are to described AC/DC mixed power system carries out abbreviation, obtains the equivalent-simplification system of AC/DC mixed power system;In the present embodiment System abbreviation process is specific as follows:
Step 4-1, centered on high-voltage dc transmission electric unit and group of motors yet-to-be developed, one backbone network of distance is outwards retained The transformer station region of frame voltage class, the equivalent side of the system formed as high-voltage dc transmission electric unit and group of motors yet-to-be developed Boundary;
Step 4-2, based on the Equivalent Boundary, calculate high-voltage dc transmission electric unit is with what group of motors yet-to-be developed was formed Unite it is each exchange branch road equiva lent impedance;
Step 4-3, steady operational status and trend based on AC/DC mixed power system, and with reference to the Equivalent Boundary The equiva lent impedance of point, by the external network equivalent outside the Equivalent Boundary into power supply or load, and determine the power supply or load Parameter.
Step 5, according to the equivalent-simplification system, calculate the electrical damping under each intrinsic torsion frequency of group of motors yet-to-be developed With sub-synchronous oscillation evaluation index, comprise the following steps that:
Step 5-1, the sub-synchronous oscillation research to the high-voltage dc transmission electric unit is linearized with model, obtains institute State the state equation of high-voltage dc transmission electric unit;Line is entered to the sub-synchronous oscillation research model employed in the present embodiment
Property, takes the state variable to be:
XDC=[Δ α0,ΔI′d,ΔVd1,ΔI″d,Δβ0]T (17)
Obtaining HVDC equations of state is:
BD·pXDC=CDXDC+DkVkDC+DmVmDC (18)
Rk·IkDC=SkXDC+TkVkDC (19)
Rm·ImDC=SmXDC+TmVmDC (20)
Step 5-2, the common coordinate system xy of the equivalent-simplification system is determined, by high-voltage dc transmission electric unit both end voltage VkAnd VmDecompose xy coordinate systems:
Vk=Ek·VkDC, Ik=Fk·IkDC (21)
Vm=Em·VmDC, Im=Fm·ImDC (22)
Step 5-3, carry out calculating and eliminate intermediate variable, the electric resistance of group of motors yet-to-be developed is obtained using complex torque coefficients Buddhist nun's expression formula;Intermediate variable X is eliminated in the present embodimentDCAfter can obtain:
It is the electric resistance that can obtain group of motors yet-to-be developed with complex torque coefficients by formula (23) and system other parts simultaneous Buddhist nun's expression formula.
Step 5-4, according under resulting each intrinsic torsion frequency of electrical damping expression parsing group of motors yet-to-be developed System equiva lent impedance, and corresponding sub-synchronous oscillation evaluation index Index, sub-synchronous oscillation evaluation index are calculated according to following formula Index value is smaller, shows that the risk of the AC/DC mixed power system generation sub-synchronous oscillation is bigger:
In formula, R, X are respectively the intrinsic torsion frequency f of group of motors yet-to-be developednUnder the equivalent resistance of system, equivalent electric Anti-, f is system synchronization frequency, HnFor with group of motors yet-to-be developed with intrinsic torsional oscillation frequency fnAssociated constant.
Step 6, the control mode and parameter for adjusting HVDC, and above step 1~5 is repeated, HVDC is obtained in different controls The sub-synchronous oscillation evaluation index of AC/DC mixed power system under mode and parameter, and commented by comparing these sub-synchronous oscillations Valency index, the control mode and parameter for producing sub-synchronous oscillation least risk are chosen for HVDC.
In order to quickly and easily instruct the planning and designing of AC/DC mixed power system, can be shaken according to the subsynchronous of the present invention Appraisal procedure is swung, the sub-synchronous oscillation that AC/DC mixed power system is established in MATLAB or SIMULINK assesses emulation mould Type, by the control mode and parameter combination that adjust HVDC in simulation model, you can conveniently and efficiently obtain different in HVDC Sub-synchronous oscillation assessment result under control mode and parameter combination, and then instruct the planning of AC/DC mixed power system to set Meter.

Claims (5)

1. a kind of sub-synchronous oscillation appraisal procedure of AC/DC mixed power system, the AC/DC mixed power system includes height Straightening stream power transmission unit and some generating sets;Characterized in that, the appraisal procedure comprises the following steps:
Step 1, the sub-synchronous oscillation research model for establishing the high-voltage dc transmission electric unit;
Step 2, according to D.C. high voltage transmission when position of the high-voltage dc transmission electric unit in power network and actual motion The trend trend of unit, the coupling power of the high-voltage dc transmission electric unit and each generating set in power network is analyzed, it is determined that waiting to grind Generating set;
Step 3, the Equivalent Boundary of the system formed according to high-voltage dc transmission electric unit and group of motors yet-to-be developed are handed over directly described Flow hybrid power system and carry out abbreviation, obtain the equivalent-simplification system of AC/DC mixed power system;
Step 4, according to the equivalent-simplification system, calculate electrical damping under each intrinsic torsion frequency of group of motors yet-to-be developed and time Synchronized oscillation evaluation index, is comprised the following steps that:
Step 4-1, the sub-synchronous oscillation research to the high-voltage dc transmission electric unit is linearized with model, obtains the height The state equation of straightening stream power transmission unit;
Step 4-2, the common coordinate system xy of the equivalent-simplification system is determined, high-voltage dc transmission electric unit both end voltage is decomposed To xy coordinate systems;
Step 4-3, carry out calculating and eliminate intermediate variable, the electrical damping table of group of motors yet-to-be developed is obtained using complex torque coefficients Up to formula;
Step 4-4, according to the system under resulting each intrinsic torsion frequency of electrical damping expression parsing group of motors yet-to-be developed Equiva lent impedance, and corresponding sub-synchronous oscillation evaluation index Index, sub-synchronous oscillation evaluation index Index are calculated according to following formula Value it is smaller, show the AC/DC mixed power system occur sub-synchronous oscillation risk it is bigger:
<mrow> <mi>I</mi> <mi>n</mi> <mi>d</mi> <mi>e</mi> <mi>x</mi> <mo>=</mo> <mo>-</mo> <mfrac> <mrow> <mo>(</mo> <mi>f</mi> <mo>-</mo> <msub> <mi>f</mi> <mi>n</mi> </msub> <mo>)</mo> </mrow> <mrow> <mn>8</mn> <msub> <mi>f</mi> <mi>n</mi> </msub> <msub> <mi>H</mi> <mi>n</mi> </msub> </mrow> </mfrac> <mrow> <mo>(</mo> <mfrac> <mi>R</mi> <mrow> <msup> <mi>R</mi> <mn>2</mn> </msup> <mo>+</mo> <msup> <mi>X</mi> <mn>2</mn> </msup> </mrow> </mfrac> <mo>)</mo> </mrow> </mrow>
In formula, R, X are respectively the intrinsic torsion frequency f of 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 with intrinsic torsional oscillation frequency fnAssociated constant.
2. sub-synchronous oscillation appraisal procedure as claimed in claim 1, it is characterised in that the sub-synchronous oscillation established in step 1 Research is quasi steady state model with model.
3. sub-synchronous oscillation appraisal procedure as claimed in claim 1, it is characterised in that the step 3 specifically includes following sub-step Suddenly:
Step 3-1, centered on high-voltage dc transmission electric unit and group of motors yet-to-be developed, one trunk rack electricity of distance is outwards retained The transformer station region of grade is pressed, the Equivalent Boundary of the system formed as high-voltage dc transmission electric unit and group of motors yet-to-be developed;
Step 3-2, it is each based on the Equivalent Boundary, calculating high-voltage dc transmission electric unit and the system that group of motors yet-to-be developed is formed Exchange the equiva lent impedance of branch road;
Step 3-3, steady operational status and trend based on AC/DC mixed power system, and with reference to the Equivalent Boundary etc. Impedance is imitated, by the external network equivalent outside the Equivalent Boundary into power supply or load, and determines the parameter of the power supply or load.
4. sub-synchronous oscillation appraisal procedure as claimed in claim 1, it is characterised in that unit function coefficient method is used in step 2 Determine group of motors yet-to-be developed.
5. a kind of planning and designing method of AC/DC mixed power system, the AC/DC mixed power system includes HVDC Power transmission unit and some generating sets;Characterized in that, use different control mode and ginseng in high-voltage dc transmission electric unit In the case of number, it is utilized respectively any one of Claims 1 to 4 methods described such as and carries out the subsynchronous of AC/DC mixed power system Vibration is assessed, and according to the control that assessment result is the least risk that sub-synchronous oscillation occurs for the D.C. high voltage transmission unit selection Mode and parameter processed.
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CN110061498B (en) * 2019-05-28 2021-03-16 哈尔滨理工大学 Chaotic oscillation analysis and detection method for AC/DC parallel power transmission system
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