Summary of the invention
The technical issues that need to address of the present invention are to provide a kind of lower to metric data requirement, and the method for topology Identification exactly can be carried out to the power distribution network containing D G, occur to avoid the fault handling time situation that is long, power supply reliability reduction caused because of Topology Error problem.
For solving the problems of the technologies described above, the technical solution used in the present invention is as follows.
Based on the topology Identification method containing DG power distribution network of innovation graph approach, comprise the following steps:
Step one, to Modeling of Distribution Network, determines chord and tree;
Step 2, calculates the state estimation result in k moment;
Step 3, calculates the new breath value of all measurement branch roads;
Step 4, the new breath value according to chord calculates the calculating newly breath value obtaining the whole network;
Step 5, props up the difference vector of the difference calculating its true new breath value and calculate new breath value to the tree being equipped with measurement;
Step 6, judges whether to exist partial branch difference vector very large and independently to exist, carries out step 8 if exist; Step 9 is carried out if do not exist;
Step 7, judges whether that there is the very large branch road of difference vector forms bad loop, carries out step 8 if exist; Step 9 is carried out if do not exist;
Step 8, obtains the calculating newly breath value of the whole network again according to judged result after getting rid of the impact of bad data;
Step 9, the state estimation result according to the k moment tries to achieve estimation trend with the new breath value of calculating;
Step 10, judges whether contained DG power distribution network is miniwatt occasion; If large-power occasions carries out step 11; If miniwatt occasion carries out step 12;
Step 11, the calculating judging whether to exist certain branch road newly breath value is very large but estimate that trend value is very little of zero; If the calculating that there is certain branch road newly breath value is very large, but estimates that trend value is very little of zero, so this branch road exists and disconnects Topology Error suddenly, and this branch road is actual is off state, and topology Identification terminates; If do not exist, show that network is without Topology Error, topology Identification terminates;
Step 12, judges whether that the new breath value that there is DG place chord is non-vanishing; If the new breath value of DG place chord is non-vanishing carry out step 13, if the new breath value of DG place chord is zero, carry out step 14;
Step 13, if the new breath value of all DG places chord is zero, judges whether to exist that to calculate new breath absolute value very large, and estimate trend value very little close to zero branch road; If there is branch road, to meet new breath value absolute value comparatively large, estimate trend value close to zero condition, so Topology Error branch road is the most downstream branch road meeting above-mentioned condition, and this branch road virtual condition is off, and topology Identification terminates; If do not exist, show that, without Topology Error in network, topology Identification terminates;
Step 14, if the new breath value that there is DG place chord is non-vanishing, be then the situation of DG at Topology Error downstream branch, should the new breath value of DG place chord be changed into its opposite number, again calculate that the whole network calculates the estimation trend value that new breath value and step 9 calculate each branch road, if newly breath value is very large in the calculating of certain branch road according to step 4, but estimate that trend value is very little of zero, then the existence of this branch road disconnects Topology Error suddenly, and this branch road is actual is off state, and topology Identification terminates.
The state estimation result calculating the k moment described in step 2 of the present invention carries out state estimation calculating with the measurement amount in k moment and network topology structure, and state estimation calculates according to formula one:
formula one
In formula,
for state variable, branch current magnitudes and phase angle are chosen as its state variable for power distribution network,
for measurement amount,
for measuring function,
for measuring weight matrix;
Separate the nonlinear equation obtained with Niu Lafa, kth time iteration amount is:
Wherein
, for measuring Jacobian matrix,
for information matrix, iterative computation until
be less than setting threshold value (
), quantity of state now
required by being, and then voltage, the Power Flow Information of whole network can be obtained.
New breath value described in step 3 of the present invention obtains according to formula two:
formula two
In formula
for k+1 moment measurement amount,
for the k moment measures estimated value,
be the new breath value in k+1 moment.
Difference vector described in step 5 of the present invention obtains according to formula three:
formula three
In formula,
for newly being ceased the calculating newly breath value calculating gained by chord,
for the true new breath value of the branch road that step 3 obtains.
Estimation trend described in step 9 of the present invention obtains according to formula four:
formula four
In formula
for the k moment measures estimated value and state estimation result.
Owing to have employed above technical scheme, the invention technological progress is as follows.
The present invention is directed to power distribution network vast in territory, measure deficient feature, the innovation graph approach with forecast function is utilized to detect, identify the abnormal event such as bad data and Topology Error, and the access for DG is carried out on innovation graph approach the impact that power distribution network topology Identification causes and is proposed corresponding solution, thus guarantee that distribution network topological structure is accurate, and then reduce because topology is forbidden caused fault handling time long, the problem that power supply reliability reduces, compensate for existing discrimination method requires high to metric data redundance, the deficiencies such as calculation of complex, be specially adapted to the topology Identification containing DG power distribution network.The present invention is directed to the criterion that the capacity of DG and on-position propose the impact of innovation graph approach topology Identification to adapt with it, all can accurate recognition to the various Topology Errors containing DG power distribution network, adapt to the trend of increasing distributed power source access in power distribution network; Principle is simple, less demanding to measure configuration, is easy to engineering practice.
Embodiment
Below in conjunction with the drawings and specific embodiments, the present invention is further elaborated.
In power distribution network topology Identification process, Topology Error can be defined as switch reality and not conjugate and the change of terminal information upload reflection on off state, namely report in Topology Error and real system and change in topology occurs, but because the causes such as communication disruption cause main station system not make respective reaction, namely do not report Topology Error.Report Topology Error situation easily processes, do not report in Topology Error situation again to disconnect suddenly and the most difficult identification of non-reporting errors, therefore only topology Identification method is set forth for this situation, and from succinct convenient consideration, will disconnect suddenly and not report that Topology Error is referred to as disconnecting Topology Error suddenly.
Based on the topology Identification method containing DG power distribution network of innovation graph approach, its process flow diagram as shown in Figure 1, specifically comprises the following steps:
Step one, to Modeling of Distribution Network, determine chord and tree:
Electricity distribution network model need set up ground node, and all constructs a branch road over the ground to each node.Measure because substation transformer each in distribution is all equipped with and can load bus be equivalent to, therefore choose all nodes except feeder line root node over the ground branch road over the ground branch road be chord, tree then elected as by all the other branch roads of this feeder line.
Step 2, calculates the state estimation result in k moment:
Carry out state estimation calculating with the measurement amount in k moment and network topology structure, the raw data mart modeling of distribution is become ripe data by state estimation, determines accuracy and the degree of functioning of other analytical applications to a certain extent.
Distributed power source can be considered as PQ node, PV node, PI node, PQ(V respectively according to the difference of its control characteristic in state estimation calculates) node and I node.
Use at present application maximum be that basic weighted least-squares method carries out state estimation, state estimation calculates according to formula one:
formula one
In formula,
for state variable, branch current magnitudes and phase angle are chosen as its state variable for power distribution network,
for measurement amount,
for measuring function,
for measuring weight matrix.
Objective function gets minimum value
on its extreme point, therefore have
.
Separate the nonlinear equation obtained with Niu Lafa, kth time iteration amount is:
Wherein
, for measuring Jacobian matrix,
for information matrix, iterative computation until
be less than setting threshold value (
), quantity of state now
required by being, and then voltage, the Power Flow Information of whole network can be obtained.
Step 3, calculates the new breath value of all measurement branch roads:
By the measurement amount in k+1 moment
deduct the state estimation result in k moment
namely measure estimated value, obtain the new breath value in k+1 moment
.
New breath value obtains according to formula two:
formula two
In formula
for k+1 moment measurement amount,
for the k moment measures estimated value,
be the new breath value in k+1 moment.
To be made up of new breath value and the figure meeting circuit theory is innovation graph.Follow first, second law of Kirchhoff between new breath value in innovation graph, when some branch currents represented by new breath value of known complete network structure and some, branch current every other in innovation graph can calculate.Select a tree, form independent loop calculate branch current, distribution network model as shown in Figure 1 according to the structural system of tree, dotted line represents chord, and solid line represents tree.Chord electric current is made to be known loop current vector
, just can calculate branch currents all in innovation graph
for:
In formula, C is branch road-path incidence matrix.
In electric system, custom adopts branch power, when employing branch road active power replaces branch current, and can obtain following formula when adopting DC Model to calculate:
In formula
for chord truly newly ceases,
for branch road calculates new breath.
Step 4, the new breath value according to chord calculates the calculating newly breath value obtaining the whole network, obtains the calculating newly breath value that all trees prop up
.
Step 5, props up for being equipped with the tree measured, and its measured value and the difference measuring estimated value are true new breath value
, simultaneously using the difference of the calculating newly breath value and the true new breath value that are calculated gained by chord as difference vector.
Bad data in power distribution network does not follow circuital law, thus by loop method from chord newly breath value calculate the calculating that obtains newly breath value be consistent data acquisition, when they with those purely according to measuring value deduct measure true new breath value that estimated value obtains compare time, namely difference can reveal.It is difference vector that definition calculates new breath value with the difference of true new breath value.
Difference vector obtains according to formula three:
formula three
In formula,
for newly being ceased the calculating newly breath value calculating gained by chord,
for the true new breath value of the branch road that step 3 obtains.
When larger difference vector element is in stochastic distribution state, can judges that the tree that bad data is positioned at difference vector larger props up, this measuring value correction be become the difference of its value and difference vector; Larger difference vector is all there is on the branch road of all measured values in a loop except chord, when namely forming bad loop, then illustrate that the measurement of this chord is bad data, this measuring value correction is become its value deducts difference vector equally, can get rid of the harmful effect that may cause topology Identification of bad data.
Step 6, judges whether to exist partial branch difference vector very large and independently to exist, if having partial branch difference vector very large and independently to exist, then can be determined as a tree bad data, carry out step 8; Step 9 is carried out if do not exist.
Step 7, judges whether that there is the very large branch road of difference vector forms bad loop, if there is the very large branch road of difference vector to form bad loop, then can think and form bad loop, and quarter, dish was not for existing chord bad data, carried out step 8; Step 9 is carried out if do not exist.
Step 8, if there is bad data, is modified to measuring value and is deducted difference vector, namely returned step 3.After the impact getting rid of bad data, recalculate the new breath value obtaining each chord, and calculate the calculating newly breath value obtaining the whole network
.
Step 9, the state estimation result according to the k moment tries to achieve estimation trend with the new breath value of calculating; The state estimation result in the k moment of gained in new breath value and step 2 is calculated by gained in step 4
be added, its result is as estimation trend
.
Estimation trend obtains according to formula four:
formula four
In formula
for the k moment measures estimated value and state estimation result.
Step 10, judges whether the DG power distribution network that feeder line is got involved is miniwatt occasion; If large-power occasions carries out step 11; If miniwatt occasion carries out step 12.
Step 11, if high-power applications occasion, the calculating judging whether to exist certain branch road newly breath value is very large but estimate that trend value is very little of zero.If the calculating that there is certain branch road newly breath value is very large, but estimates that trend value is very little of zero, so this branch road exists and disconnects Topology Error suddenly, and this branch road is actual is off state, and topology Identification terminates; If do not exist, show that network is without Topology Error, topology Identification terminates.
Step 12, if low-power applications occasion, then needs the relative position judging DG and Topology Error branch road, and the new breath value namely by judging whether to exist DG place chord is non-vanishing to be determined.If the new breath value of DG place chord is non-vanishing carry out step 13, if the new breath value of DG place chord is zero, carry out step 14.
Step 13, if the new breath value of all DG places chord is zero, judge whether to exist calculate new breath absolute value very large and estimate trend value very little close to zero branch road.If exist branch road meet new breath value absolute value comparatively large and estimate trend value close to zero condition, so Topology Error branch road is the most downstream branch road meeting above-mentioned condition, and this branch road virtual condition is off, and topology Identification terminates; If do not exist, show that, without Topology Error in network, topology Identification terminates.
Step 14, if the new breath value that there is DG place chord is non-vanishing, be then the situation of DG at Topology Error downstream branch, should the new breath value of DG place chord be changed into its opposite number, again calculate that the whole network calculates the estimation trend value that new breath value and step 9 calculate each branch road, if newly breath value is very large in the calculating of certain branch road according to step 4, but estimate that trend value is very little of zero, then the existence of this branch road disconnects Topology Error suddenly, and this branch road is actual is off state, and topology Identification terminates.
The principle of the method for the invention is as follows:
From circuit theory, any branch road
all available additional electrical potential source
and line impedance
represent, if this branch road is closed, then
; If disconnect, according to principle,displacement,
size equals this leg open voltage, and this branch current is zero.According to superposition principle, the running status in AC Ioad flow model k+1 moment equals the running status in k moment and the new breath network diagram sum in k+1 moment.
In innovation graph, the Injection Current of all nodes is zero, and the potential source in network is only the additional potential of circuit.When there is not Topology Error, the additional potential of all circuits is all zero, and all new breath amounts are also zero; And when there is unexpected disconnection Topology Error, the potential source of Topology Error branch road equals its open-circuit voltage, and new breath value is non-vanishing, and amplitude is larger near Topology Error branch road.The running status in AC Ioad flow model k+1 moment, namely estimates trend.When occurring to disconnect suddenly Topology Error, the estimation trend value of Topology Error branch road is zero.
Consider the impact of error, judge that disconnecting suddenly Topology Error should meet two conditions: one is that to calculate the absolute value of new breath amount very large; Two is estimate that the absolute value of trend is less.If certain branch road meets above-mentioned two conditions simultaneously, then this branch road is the branch road of Topology Error, and switch virtual condition should be off.In like manner known when closing suddenly and do not report Topology Error, criterion one with to disconnect suddenly and non-reporting errors is consistent, criterion two for the absolute value of this branch road estimation trend larger.Meet above-mentioned two conditions and then illustrate that the virtual condition of this switch is closed.
The DG that feeder line accesses is divided into powerful application scenario and low-power applications occasion two kinds of situations.After circuit disconnects, require that DG works in island operation state under powerful application scenario; If there is island state during low power application scenario, start island protect function, DG stops load supplying towards periphery.Thus, innovation graph approach not only can be relevant with the capacity of distributed power source to carrying out topology Identification containing the power distribution network of DG, and the relative position also by itself and Topology Error branch road affects.
Illustrate that it affects and proposes corresponding solution with 5 node 4 branch road feeder line schematic diagram shown in Fig. 2 below.Figure interior joint 4 accesses distributed power source, its exert oneself into
, negative sign represents that it sends electric energy.
Situation one: under low-power applications occasion, DG is positioned at Topology Error downstream branch
Suppose branch road
occur to disconnect Topology Error suddenly, do not consider power attenuation and DG stoppage in transit, result of calculation is as shown in table 1.
Table 1
The estimation trend of branch road 2,3,4 is 0 as seen from the table, calculates new breath value and is then respectively
,
with
if,
then there will be
with
calculating newly breath value be respectively
with
, according to two criterions of innovation graph approach identification Topology Error,
with
estimation trend be zero, therefore calculate the larger branch road of new breath value then for Topology Error branch road, now innovation graph approach identification result mistake.For solving this problem, the new breath value of DG chord being over the ground modified to its opposite number and DG by-DG, calculating new breath after obtaining revising in table, can see
the absolute value calculating new breath after revising is very large, and estimates that trend value is 0, and therefore Topology Error branch road is
.
Situation two: under high-power applications occasion, DG is positioned at Topology Error downstream branch
Same hypothesis branch road
occur to disconnect Topology Error suddenly, do not consider power attenuation and DG islet operation, result of calculation is as shown in table 2.
Table 2
Due to branch road
dG islet operation after disconnecting, for
with
continue power supply,
then powered by major network, therefore over the ground branch road 0-2,0-3,0-5 newly breath value be zero, only have the new breath value of DG place chord 0-4 to be over the ground
.Can obtaining branch road 2 from table 2, to calculate new breath absolute value very large and estimate that trend value is zero, and therefore innovation graph approach correctly picks out branch road 2 Topology Error.In this situation, the access of DG does not cause harmful effect to innovation graph approach topology Identification.
Situation three: under low-power applications occasion, DG is positioned at Topology Error branch road upstream
Suppose that branch road 4 occurs to disconnect Topology Error suddenly, think that DG does not consider under PQ control mode that DG exerts oneself change, do not consider power attenuation, result of calculation is as shown in table 3 simultaneously.
Table 3
The absolute value that known each branch road calculates newly breath from upper table is all equal is
.If
then the estimation trend of branch road 2 is 0, the display of innovation graph approach topology Identification result branch road 2, branch road 4 Topology Error; If
then the estimation trend of branch road 1 is 0, and innovation graph approach topology Identification result then shows branch road 1, branch road 4 Topology Error.Innovation graph approach topology Identification result is all inaccurate in above-mentioned two situations.For reaching the object of correct identification, when occurring that on certain supply path, the new breath order of magnitude of a more than branch road is close, and when estimating that trend value is the situation of zero, the most downstream branch road simultaneously meeting above-mentioned two conditions is Topology Error branch road.If in upper table
or
, because branch road 4 is in the most downstream of supply path and the absolute value meeting new breath value is comparatively large, estimate the criterion that trend is less, therefore innovation graph correctly judges that branch road 4 is as Topology Error branch road.
Situation four: under high-power applications occasion, DG is positioned at Topology Error branch road upstream
In this situation of same hypothesis, branch road 4 occurs to disconnect Topology Error suddenly, and the result of calculation obtained is consistent with table 3, but under high-power applications occasion, due to
, thus in upper table, the absolute value of the estimation trend of each branch road is all greater than 0, by innovation graph approach known branch road 4 Topology Error.So time DG access on innovation graph approach topology Identification result without impact.
In sum, DG accesses the impact of power distribution network on innovation graph approach topology Identification and is mainly manifested in: 1. under miniwatt occasion, Topology Error downstream branch has DG, should change the new breath value of DG branch road over the ground into its opposite number, utilize innovation graph approach identification just can obtain correct result; 2. under miniwatt occasion, there is DG Topology Error branch road upstream, criterion should be changed into meet new breath value absolute value comparatively large simultaneously, estimate trend be 0 most downstream branch road be Topology Error branch road.In other situations, DG accesses innovation graph approach topology Identification criterion without impact.
With 5 node 4 branch road feeder line schematic diagram shown in Fig. 2, the impact of bad data on Topology Error criterion is described equally, to know large-power occasions that DG accesses the criterion of distribution to innovation graph approach topology Identification and do not cause harmful effect from above-mentioned analysis, be only described for low-power applications occasion when therefore considering the affecting of bad data.
Suppose that branch road 2 disconnects suddenly, node 3 measures as bad data, from
become
.Do not consider power attenuation, result of calculation is as shown in table 4:
Table 4
Can see from upper table, branch road 1, branch road 2 difference vector are larger and equal, with node 3 over the ground chord form bad loop, therefore node 3 measures as bad data, and should revise becomes its measuring value and deduct difference vector.After getting rid of the impact of bad data, gained table content is consistent with table 1.
More than analyze known, based on innovation graph approach containing DG power distribution network topology Identification method to identification bad data and Topology Error very effective.