CN105243214B - A kind of interconnected network forced power oscillation node sensitivity assessment method - Google Patents
A kind of interconnected network forced power oscillation node sensitivity assessment method Download PDFInfo
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Abstract
The invention discloses a kind of interconnected network forced power oscillation node sensitivity assessment methods, are related to electricity net safety stable and planning technology field.Herein for the forced power oscillation caused by periodical external disturbance occurred in current interconnected network, braking measure can only be taken in the management and running stage after oscillation occurs, and it is difficult to consider the prevention of forced power oscillation in the Electric Power Network Planning and method of operation calculating before oscillation occurs and inhibits problem, propose a kind of power grid forced power oscillation node sensitivity assessment method based on node energy susceptibility, sensitivity of the grid nodes by forced power oscillation between initiation area when applying disturbance outside periodicity can effectively be assessed, judgement is easy to produce the node of interregional forced power oscillation energy dissipation.This method can be applied to Electric Power Network Planning and grid operation mode formulates the stage, to take precautions against and forced power oscillation being inhibited to provide foundation.The invention calculates simplicity, and implementation steps are clear, has good practical application value, for ensureing that power grid security, raising Electric Power Network Planning and operation level have great importance.
Description
Technical field
The present invention relates to electricity net safety stable and planning technology fields, more specifically by quick to interconnected network node energy
Sensitivity assessment, judges the node that forced power oscillation energy dissipation is easily caused in power grid, to take precautions against and inhibiting to force power vibration
Offer foundation is provided.
Background technique
What electric system can occur between rotor under disturbance opposite wave and causes to hold in the case where lacking damping
Persistent oscillation, surge frequency range is in 0.1~2.5Hz, therefore referred to as low-frequency oscillation.Wherein, inter area oscillation frequency 0.1~
0.7Hz, and local oscillating frequency is in 0.7~2.5Hz, relative local oscillation, inter area oscillation influence area is wider, the danger of generation
Evil is bigger, and the judgement and inhibition of oscillation are more difficult.Low-frequency oscillation belongs to the scope of power grid dynamic stability analysis.
For the mechanism that low-frequency oscillation generates, experts and scholars both domestic and external have done a large amount of research, wherein theory is more
Improve engineer application it is most be that negative damping theory and forced oscillation are theoretical.Negative damping theory thinks low-frequency oscillation Producing reason
It is system damping deficiency, which is widely used in Electric Power Network Planning and operating analysis.Forced oscillation theory thinks to work as system
When frequency by extraneous durations power disturbance is close to system frequency, significantly oscillation of power can be caused.Soup
It gushes in " electric power network technique " magazine 2006,30 (10): " basic theory of Forced Power Oscillation in Power System " that 29-33 is delivered；Poplar
Eastern person of outstanding talent is equal in " Automation of Electric Systems " magazine 2009,33 (23): " the low frequency vibration based on WAMS metric data that 24-28 is delivered
Swing Analysis on Mechanism "；And Yang Dongjun etc. is in " Automation of Electric Systems " magazine 2011,35 (10): " the synchronous hair that 99-103 is delivered
Motor asynchronous parallelizing causes THE ANALYSIS OF FORCED POWER OSCILLATION IN POWER SYSTEM " etc. in papers, pass through the theoretical and practical case of power grid respectively
Example analysis, demonstrating treatment measures most effective for forced power oscillation is to quickly find and cut off disturbing source.
It is calculated in Study on Power Grid Planning and the small interference stability of the method for operation, mainly uses Eigenvalues analysis method.Ni with
Letter, Chen Shoutao, Zhang Baolin are in " theory and analysis of dynamic power system " of publishing house of Tsinghua University in 2005, based on to being
The Eigenvalues analysis of system state equation determines system oscillation mode and damping ratio, judges system stability according to damping situation.
Electrical Power System Dynamic behavior can be described with one group of differential-algebraic equation group:
In formula: x=[x1,x2,…,xn]TFor system mode vector；U=[u1,u2,…,ur]TFor system input vector；Y=
[y1,y2,…,ym]TFor system output vector；F, g is the Nonlinear System of Equations of x and u.
Formula (1) is in start node x0、u0Place's linearisation, can obtain:
In formula, state matrixInput matrixOutput matrixDirect transfer matrix
Small signal stability criterion can be obtained by solving characteristic value, i.e., when characteristic value real part is negative value, system dynamic is special
Property is asymptotically stability；When at least 1 characteristic value real part is positive value, system dynamic characteristic is unstable.
By characteristic value can with the oscillation mode ω for obtaining systemnWith damping ratio ξ, small interference is judged based on damping situation
Stability, it may be assumed that as damping ratio ξ < 0, system is negative damping；As 0≤ξ < 0.03, system is underdamping；As ξ > 0.05
When, system is heavy damping.In grid operation, to usually require that system damping ratio not be underdamping and hereinafter, reaches strong resistance as far as possible
Buddhist nun, to take precautions against system oscillation, safeguards system is stablized.
Since forced power oscillation can occur when system damping is stronger, in Study on Power Grid Planning and the method for operation
The formulation stage, which is difficult to calculate by small interference stability, formulates the effective precautionary measures.
Yang Dongjun etc. is special in patent of invention " a kind of method for judging position of disturbance source for forced power oscillation in regional interconnected power grid "
Benefit number: ZL201110390520.4 and " Automation of Electric Systems " magazine 2012,36 (2): what 26-30 was delivered " is distinguished based on parameter
The forced power oscillation disturbance source locating method of knowledge " in paper, proposes a kind of oscillation data by grid branch and carry out
Parameter identification solves the disturbance source locating method of the forced power oscillation of the direction of energy flow factor, and main technical principle is as follows:
For one machine infinity bus system, generator uses second order classical model, linearizes rotor motion in the case of microvariations
Equation are as follows:
In formula: M is inertia constant of a set, and D is Generator Damping coefficient, Δ PMFor power of disturbance variable quantity, Δ PeFor electric work
Rate variable quantity, Δ δ are rotor angular variation, and Δ ω is rotation speed change amount, ω0For benchmark frequency.
First integral is carried out to formula (3), is positive with active power outflow node direction, the energy function of system can be obtained are as follows:
V=VKE+VPE=VM+VD (4)
In formula:
Energetic function:
Potential-energy function: VPE=∫ Δ PeΔωω0dt；
Disturbance energy function: V is applied outsideM=∫ Δ PMΔωω0dt；
Damping work energy function: VD=∫-D Δ ω Δ ω ω0dt；
In the steady-state process of forced power oscillation, forcing frequency is approximately equal with system frequency, outer at this time to apply disturbance
Do work, V equal with system damping dissipation energyM≈-VD, the kinetic energy of system converts completely with potential energy, VKE≈-VPE, system performance
For undamped free oscillation.
The energy for applying disturbance acting injected system outside is propagated in a network by potential energy, branch L in systemi-jThe end i gesture
Energy function are as follows:
In formula: Δ PijFor branch power variable quantity, Δ ωiFor the end branch i frequency variation.
In the steady-state process of forced power oscillation, each quantity of state is all periodically changed with forcing frequency, if Wherein Δ Pmij、ΔωmiRespectively branch power, frequency
Rate amplitude of variation,Change initial phase for branch power, frequency, ω is forcing frequency；Substitute into (5) Shi Ke get:
In formula:
Disturbance injected system is applied outside and propagates the energy of consumption in a network mainly by the aperiodic component i.e. formula of formula (6)
(8) it embodies, b is defined as " the direction of energy flow factor " in text, the direction of energy flow factor can characterize aperiodic component in potential energy
Size and direction.It defines potential energy outflow node i to be positive, flows into node i and be negative, potential energy trend is flowed to by node i and saved as b > 0
Point j, as b < 0, potential energy trend flows to node i by node j.As a result, as branch direction of energy flow factor b > 0, disturbing source is located at
Region where branch start node；As b < 0, disturbing source is located at branch terminal node region.The patent passes through to power grid branch
In large-scale interconnected power system operation the disturbance realized after forced power oscillation can occur for the comprehensive analysis of the road direction of energy flow factor
The quick judgement of source position.Interconnected network forced power oscillation can as caused by the periodic disturbance of generator or load,
Engineering is especially most commonly seen with power grid forced power oscillation caused by generator in practice.
The analysis side Prony is used in patent " a kind of method for judging position of disturbance source for forced power oscillation in regional interconnected power grid "
Parameter identification method of the method as the direction of energy flow factor, Prony analysis method in the time domain directly to the data waveform of record into
Actual measurement path is considered as the sinusoidal signal (oscillation mode) that certain frequencies are fixed, amplitude exponentially changes by the analysis of row signal
Linear combination, model is expressed as:
Wherein: n is the number of oscillation mode；For i-th of oscillation mode, A0iFor oscillation amplitude；σiFor damping factor；
ωiTo vibrate angular frequency；For initial phase.To which problem to be summarized as to the identification to each frequency, amplitude and damped coefficient.
Summary of the invention
The object of the present invention is to provide a kind of interconnected network forced power oscillation node sensitivity assessment methods.This method master
It to generate for the forced power oscillation caused by periodical external disturbance occurred in current interconnected network with uncertain
Property, it still is able to occur even if being in heavy damping mode in system；And damaging range is wide, especially interregional oscillation mode
Prevention and inhibition are difficult, can only take braking measure in the management and running stage after oscillation occurs at present, in oscillation shortage early period
Effective methods of risk assessment.In response to this problem, set forth herein a kind of power grids based on node energy susceptibility to force power vibration
Sensitivity assessment method is swung, can judge to be easy to produce interregional forced function in the case where grid nodes apply periodic disturbance
The node of rate oscillation energy diffusion.Assessment result based on this method can select suitable power supply to connect for the Electric Power Network Planning stage
Entering position reduces the risk and grid operation mode formulation phase lookup power grid weak spot, formulation that forced power oscillation generates
It vibrates control measure and foundation is provided, there is good practical application value.
Cause the sensibility of interregional forced power oscillation under periodic disturbance to assess each node of power grid and apply outside, this
The concept of invention proposition node energy susceptibility, for characterizing by periodically outer interconnecting ties output in the case where applying disturbance
Oscillation energy and disturbing source input power grid oscillation energy between ratio.Definition node energy-sensitive degree of the present invention are as follows:
In formula,Node energy susceptibility of the node s to interconnection i-j；bsApply the energy of sinusoidal perturbation for s-th of node
Flow direction factor, bijFor the direction of energy flow factor by interconnection i-j to neighbouring electrical grid transmission.
It is bigger, indicate that the outer plus sinusoidal perturbation on node s spreads oscillation energy to neighbor systems by interconnection i-j
More, oscillation range of scatter is wider；Conversely, indicating that the additional sinusoidal perturbation on node s is expanded by interconnection i-j to neighbor systems
It is less to dissipate oscillation energy, oscillation coverage is relatively small.Using node energy susceptibility as foundation, net can be filtered out in advance
The node for causing oscillation energy to spread is easier in network, the implementation for subsequent control measure provides reference frame.
In order to achieve the above object, the present invention adopts the following technical scheme: firstly, power grid is calculated by small interference stability
Various frequency of oscillation modes；Then, apply and inter area oscillation frequency mode phase respectively on each generator node of power grid
The periodic disturbance matched, and calculate the direction of energy flow factor of input system；Meanwhile calculate the interregional interconnection of interconnected network by
The direction of energy flow factor of adjacent area is traversed to after periodic disturbance；Finally, calculating separately the energy-sensitive coefficient of each node, comment
Each node of power grid is estimated to the sensibility of inter-area oscillation mode.
A kind of interconnected network forced power oscillation node sensitivity assessment method, this method comprise the steps of
A, interconnected network is made of interconnection, m branch, n node between N number of region, L strip area, has g in n node
A generator node；
B, grid simulation computation model is established, power grid small interference stability is calculated u frequency of oscillation mode of power grid,
V are inter area oscillation frequency mode, l in u frequency of oscillation modepqFor the connection between the region P in N number of region and region Q
Winding thread, the oscillation mode between region P and region Q are ωr, wherein lpq∈ { 1,2,3 ..., L }, r ∈ { 1,2,3 ..., v },
ωr∈ (0.1Hz, 0.7Hz)；
C, apply and inter area oscillation frequency mode ω respectively on each generator node of power gridrThe same amplitude week to match
Phase property power disturbance, the disturbance quantity of s node areThe frequency variation then generated on s nodeThe amplitude Δ ω of frequency variation is recognized by prony analysis methods0And initial phaseCalculate the direction of energy flow factor of each node input systemWherein Δ P0For
The active periodic disturbance amplitude applied,For active disturbance quantity initial phase, Δ ωs0For s nodal frequency variable quantity amplitude,For frequency variation initial phase, s ∈ { 1,2,3 ..., g }, ω0For benchmark frequency；
D, after node applies periodic disturbance, corresponding interconnection lpqActive and frequency disturbance quantity be respectivelyWithPass through the analysis side prony
The active power of method identification in the same time changes amplitude Δ PPQ-s0And initial phaseAnd frequency changes amplitude Δ ωPQ-s0With
Initial phaseCalculate the direction of energy flow factor that adjacent area is traversed to by the winding thread between region P and region Q
E, each generator node is successively calculated for the energy-sensitive degree of oscillation mode between region P and region Q:When the higher node of susceptibility is close by extraneous periodic disturbance frequency and inter-area oscillation mode, more hold
Easily cause interregional forced power oscillation.
The invention has the following advantages that
1, compared with existing method, stage shortage is formulated in Electric Power Network Planning and the method for operation currently for forced power oscillation
Effective appraisal procedure, the present invention judge to easily cause in power grid forced by assessing interconnected network node energy susceptibility
The node of oscillation of power energy dissipation can be taken precautions against for the early period of forced power oscillation and provide scientific basis.
2, the present invention is based on the definition that the derivation of energy function is put forward for the first time node energy susceptibility, physical concept is bright
Really, calculation method is simple, is easy to implement engineer application.
3, the present invention can be widely applied to during the ratio choosing of Electric Power Network Planning and power plant access system plan, in power grid
The initial stage of construction is just it can be considered that the harm of forced power oscillation, occurs for prevention oscillation and long range diffusion provides ginseng
It examines, there is good practical application value.
Detailed description of the invention
4 machine of Fig. 1,2 sound zone system network structure
In 4 machine of typical case, 2 sound zone system shown in Fig. 1, by region one and 2 two, region interconnection region, 10 nodes, 12
Branch, 4 generator nodes, 2 load bus compositions.
Specific embodiment
Below with reference to case study on implementation and attached drawing, the present invention is further illustrated.
Embodiment one
In 4 machine of typical case, 2 sound zone system as shown in Figure 1, generator is connected to the 1 of region one, 2 nodes respectively, region two
3,4 node, generator G1, G2, G3, G4 rated power are 750MW, and region one, two is connected by interconnection 7-8.Using section
Point energy-sensitive degree the forced power oscillation sensibility of generator node 1,2 is assessed respectively, analyze its cause by with
When the disturbance of inter-area oscillation mode identical frequency, oscillation energy is propagated from region one to region two by interregional interconnection
Size judges that it causes the degree of interregional forced power oscillation energy dissipation.
Specific step is as follows:
A, system emulation is modeled, is calculated by small interference stability and carries out Eigenvalues analysis, it is corresponding that four generators can be obtained
3 kinds of oscillation modes and every kind of oscillation mode under the related datas such as frequency, damping ratio, as shown in table 1.
1 Oscillation mode analysis result of table
It can be obtained by table 1, interregional oscillation mode is 0.58Hz, and damping ratio is heavy damping mode.
B, apply respectively in node 1,2, the periodic disturbance of frequency 0.58Hz, amplitude 10MW, then active power sine is dry
Disturbing signal is Δ Pm=10sin (3.6659t), the direction of energy flow factor that disturbing source injected system is calculated are as shown in table 2.
2 disturbing source injected system direction of energy flow factor calculated result of table
C, the direction of energy flow factor such as table 3 of interconnection 7-8 between region one and region two is calculated separately in oscillation steady-state process
It is shown.
The direction of energy flow factor calculated result of the interregional interconnection of table 3
D, it is as shown in table 4 to calculate each node energy sensitivity coefficient.
4 node energy sensitivity coefficient calculated result of table
According to the calculated result of node energy sensitivity coefficient, apply on node 1 and inter-area oscillation mode same frequency
Periodic swinging, it is easier to cause interregional oscillation energy to spread, therefore for the oscillation mode between region one and region two
Node 1 is more more sensitive than node 2.
Claims (1)
1. a kind of interconnected network forced power oscillation node sensitivity assessment method, which is characterized in that this method includes following step
It is rapid:
A, interconnected network is made of interconnection, m branch, n node between N number of region, L strip area, there is g hair in n node
Motor node；
B, grid simulation computation model is established, power grid small interference stability is calculated u frequency of oscillation mode of power grid, u is a
V are inter area oscillation frequency mode, l in frequency of oscillation modepqFor the contact between the region P in N number of region and region Q
Line, the oscillation mode between region P and region Q are ωr, wherein lpq∈ { 1,2,3 ..., L }, r ∈ { 1,2,3 ..., v }, ωr
∈ (0.1Hz, 0.7Hz)；
C, apply and inter area oscillation frequency mode ω respectively on each generator node of power gridrThe same amplitude to match is periodical
The disturbance quantity of power disturbance, s node isThe frequency variation then generated on s nodeThe amplitude Δ ω of frequency variation is recognized by prony analysis methods0And initial phase
Calculate the direction of energy flow factor of each node input systemWherein Δ P0To apply
Active periodic disturbance amplitude,For active disturbance quantity initial phase, Δ ωs0For s nodal frequency variable quantity amplitude,For
Frequency variation initial phase, s ∈ { 1,2,3 ..., g }, ω0For benchmark frequency, t is the time that disturbance quantity applies；
D, after node applies periodic disturbance, corresponding interconnection lpqActive and frequency disturbance quantity be respectivelyWithPass through prony analysis method
The active power of identification in the same time changes amplitude Δ PPQ-s0And initial phaseAnd frequency changes amplitude Δ ωPQ-s0With it is first
PhaseCalculate the direction of energy flow factor that adjacent area is traversed to by the interconnection between region P and region Q
E, each generator node is successively calculated for the energy-sensitive degree of oscillation mode between region P and region Q:
When the higher node of susceptibility is close by extraneous periodic disturbance frequency and inter-area oscillation mode, more easily cause interregional
Forced power oscillation.
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| CN102411118A (en) * | 2011-12-01 | 2012-04-11 | 武汉华中电力电网技术有限公司 | Method for judging position of disturbance source for forced power oscillation in regional interconnected power grid |
| CN102944798A (en) * | 2012-11-29 | 2013-02-27 | 武汉华中电力电网技术有限公司 | Negative-damping low-frequency oscillation and forced power oscillation distinguishing method |
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| CN102944798A (en) * | 2012-11-29 | 2013-02-27 | 武汉华中电力电网技术有限公司 | Negative-damping low-frequency oscillation and forced power oscillation distinguishing method |
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| 基于WAMS的负阻尼低频振荡与强迫功率振荡的特征判别;杨东俊 等;《电力系统自动化》;20130710;第37卷(第13期);57-62 * |
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