CN104362613A - Power system observability judgment method by considering transformer tap position estimation - Google Patents
Power system observability judgment method by considering transformer tap position estimation Download PDFInfo
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- CN104362613A CN104362613A CN201410507913.2A CN201410507913A CN104362613A CN 104362613 A CN104362613 A CN 104362613A CN 201410507913 A CN201410507913 A CN 201410507913A CN 104362613 A CN104362613 A CN 104362613A
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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
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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
- H02J3/003—Load forecast, e.g. methods or systems for forecasting future load demand
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Abstract
A power system observability judgment method by considering the transformer tap position estimation includes dividing a maximum observable island, dividing the island, determining the island observability type, judging the observability when a tap position estimated transformer is located between two islands, and judging the observability when the tap position estimated transformer is located in one island. Compared with the prior art, the method has the advantages that the system observability is determined according to a state estimation starting manner, the types of the islands of two sides of a transformation ratio estimated transformer or the located island and the transformer branch measure configuration situation, the numerical calculation is omitted, and the method is convenient and easy to implement, accurate and reliable as compared with a traditional algebraic method.
Description
Technical field
The invention belongs to Power system state estimation technical field, particularly relate to a kind of electric power system observability determination methods considering load tap changer location estimation.
Background technology
The estimation of load tap changer position has become one of basic function of state estimation software in real system.For the state variable such as node voltage and phase angle, load tap changer position because of with the voltage and angle of transformer two ends institute connected node, branch road is meritorious and idle all has relation, therefore its observability judges to judge to want relative complex relative to simple node voltage and angle (only relevant with idle and meritorious measurement respectively) observability, how to determine its observability rapidly, be one of the computational speed and the Critical policies being estimated power that improve state estimation.
Current power system state estimation observability detection method mainly contains topological method, algebraic method and the so-called mixing method based on both topological method and algebraic method.Wherein topological method supposition load tap changer position is known, and when load tap changer Location-Unknown in system, the method directly cannot carry out observability judgement.Although algebraic method directly can consider that the observability of load tap changer judges, but because the method needs the inverse matrix solving information matrix, and often merge calculating with estimation routine, therefore from simple certainty annuity observability angle, especially when system is unobservable (Jacobian matrix is irreversible), in order to the maximum observable island of the system of delimiting, the method must judge the invertibity of Jacobian matrix by discard portion network repeatedly more again, until obtain critical network (namely just make corresponding Jacobian matrix reversible), now often need to expend the long period, thus make its computational efficiency not high.Mixing method also cannot avoid matrix inversion, and in order to determine the more loaded down with trivial details calculating such as repeatedly to sound out needed for maximum observable island.Except above-mentioned three class load tap changer observability detection methods, also have some documents to propose some and improve detection method, namely require transformer both sides at least to there is the idle measurement of effective (correctly) and transformer reactance parameter known, but the establishment of this condition is under being based upon that this transformer branch is idle and regulating affect little precondition by other no-load voltage ratio transformer to be estimated; Obviously, this condition is too harsh.Some documents propose and load tap changer position to be identified are equivalent to a dummy node, and then adopt algebraic method to judge the strategy of its observability, the method still cannot avoid the intrinsic shortcoming of aforementioned algebraic method itself.
Summary of the invention
In order to solve the problem, the object of the present invention is to provide a kind of electric power system observability determination methods considering load tap changer location estimation.
In order to achieve the above object, the electric power system observability determination methods of consideration load tap changer location estimation provided by the invention comprises the following step performed in order:
Step 1) divide maximum observable island: according to network topology and metric data, adopt topological method from network, mark off maximum observable island;
Step 2) divide isolated island: break step 1) tap joint position transformer to be estimated all in the maximum observable island that divides, by step 1) the maximum observable island that divides is divided into several isolated islands, make tap joint position transformer to be estimated between two isolated islands or certain isolated island inside, the previous case is called situation I, and latter event is called situation II;
Step 3) determine isolated island Observable type: the directly related measurement of tap joint position not considering tap joint position transformer branch to be estimated, adopts topological method to judge the Observable type of each isolated island;
Step 4) tap joint position wait estimate transformer between two isolated islands time observability judge: according to circumstances under I the Observable criterion of non-level values Starting mode or level values Starting mode judge by two isolated islands and between the observability of holonomic system that forms of tap joint position transformer to be estimated;
Step 5) tap joint position wait estimate transformer be positioned at certain isolated island inner time observability judge: according to circumstances under II, the Observable criterion of non-level values Starting mode or level values Starting mode judges the observability of the holonomic system be made up of the tap joint position transformer to be estimated of isolated island and inside thereof.
In step 3) in, the directly related measurement of described tap joint position specifically comprises:
The directly related measurement of tap joint position comprises the relevant meritorious measurement of tap joint position transformer branch i-j to be estimated, idle measurement, current measurement and no-load voltage ratio and measures, namely
and K
meatotally 11 measurements.
In step 4) in, under described situation I, the Observable criterion of non-level values Starting mode specifically comprises:
31) when two isolated islands are island alive, meeting following condition, then to comprise the holonomic system algebraically on tap joint position transformer to be estimated and two islands considerable:
All at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated; And at least one of them has the measurement directly related with other tap joint position of more than 2 or 2;
32) when a Ge Weihuo island, another be dead island time, meet one of following three conditions, then the holonomic system comprising tap joint position transformer to be estimated and two islands is considerable:
(1) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least one of them has more than 2 or 2 measurements directly related with other tap joint position, a resistance and reactance non-zero branch road is at least there is in dead island, at least there is the 1 pair of line power and to measure and its outer circuit measures in it, or this branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
(2) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least one of them has more than 3 or 3 measurements directly related with other tap joint position;
(3) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least wherein two have more than 2 or 2 measurements directly related with other tap joint position;
33) when two isolated islands are dead island, the holonomic system algebraically comprising tap joint position transformer to be estimated and two islands first meeting following three conditions is considerable:
(1) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least one of them has the measurement directly related with other tap joint position of more than 2 or 2, at least a resistance and reactance non-zero branch road is there is respectively in Liang Gesi island, at least there is respectively 1 pair of line power and to measure and its outer circuit measures in it, or branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
(2) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least one of them has more than 3 or 3 measurements directly related with other tap joint position, a resistance and reactance non-zero branch road is at least there is in one of them dead island, at least there is the 1 pair of line power and to measure and its outer circuit measures in it, or this branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
(3) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least wherein two have more than 2 or 2 measurements directly related with other tap joint position, a resistance and reactance non-zero branch road is at least there is in one of them dead island, at least there is the 1 pair of line power and to measure and its outer circuit measures in it, or this branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
34) when one of two isolated islands or two islands are unobservable island, the holonomic system comprising tap joint position transformer to be estimated and two islands is unobservable.
In step 4) in, under described situation I, the Observable criterion of level values Starting mode specifically comprises:
41) when two isolated islands are island alive, meeting following condition, then to comprise the holonomic system algebraically on tap joint position transformer to be estimated and two islands considerable:
All at least there is 1 power measurement directly related with other tap joint position in each tap joint position transformer to be estimated or no-load voltage ratio measures; And at least one of them has more than 2 or 2 different kind power measurements directly related from other tap joint position (be that circuit is meritorious time namely different to measure or the idle measurement of circuit, lower with) or no-load voltage ratio measurement;
42) when a Ge Weihuo island, another be dead island time, meet one of following two conditions, then the holonomic system algebraically comprising tap joint position transformer to be estimated and this island is considerable:
(1) all at least there is 1 power measurement directly related with other tap joint position or no-load voltage ratio measures in each tap joint position transformer to be estimated; And at least one of them has more than 3 or 3 different kind power measurements directly related with other tap joint position or no-load voltage ratio to measure;
(2) all at least there is 1 power measurement directly related with other tap joint position or no-load voltage ratio measures in each tap joint position transformer to be estimated; And at least wherein two have more than 2 or 2 different kind power measurements directly related with other tap joint position or no-load voltage ratio to measure;
43), when two isolated islands are dead island, the holonomic system comprising tap joint position transformer to be estimated and two islands is unobservable.
In step 5) in, under described situation II, the Observable criterion of non-level values Starting mode specifically comprises:
51) when isolated island is for island alive, for each tap joint position transformer to be estimated, the measurement that at least existence 1 is directly related with its tap joint position;
52) when isolated island is dead island, for each tap joint position transformer to be estimated, the measurement that at least existence 1 is directly related with its tap joint position, a resistance and reactance non-zero branch road is at least there is in dead island, at least there is the 1 pair of line power and to measure and its outer circuit measures in it, or this branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
53) when isolated island is unobservable island, the holonomic system comprising tap joint position transformer to be estimated and this island is unobservable.
In step 5) in, under described situation II, the Observable criterion of level values Starting mode specifically comprises:
61) when isolated island is for island alive, for each tap joint position transformer to be estimated, the measurement that at least existence 1 is directly related with its tap joint position;
62) when isolated island is dead island, the holonomic system comprising tap joint position transformer to be estimated and this island is unobservable;
63) when isolated island is unobservable island, the holonomic system comprising tap joint position transformer to be estimated and this island is unobservable.
In step 4) and step 5) in, the observability deterministic process under described level values Starting mode specifically comprises the following steps:
71) non-paired running tap joint position transformer branch to be estimated can with measuring the statistics of number: to step 2) each isolated island of dividing, the injection adding up tap joint position transformer branch two the to be estimated end node of the non-paired running of its every bar measures number
i is tap joint position transformer branch numbering to be estimated; Search every bar non-paired running tap joint position transformer branch to be estimated and whether there is the meritorious measurement of circuit, if existed, then
otherwise
search every bar non-paired running tap joint position transformer branch to be estimated and whether there is the idle measurement of circuit, if existed, then
otherwise
search every bar non-paired running tap joint position transformer branch to be estimated and whether there is no-load voltage ratio measurement, if existed, then
otherwise
calculate the available measurement number of non-paired running tap joint position transformer branch i to be estimated
72) paired running tap joint position transformer branch to be estimated can with measuring the statistics of number: for step 2) the tap joint position transformer to be estimated of paired running in each isolated island of dividing, with step 71) in like manner statistics is corresponding
then the tap joint position of paired running transformer to be estimated can be with measurement number
wherein j is the paired running tap joint position transformer number to be estimated comprised in branch road i;
73) Analysis on Observability: according to the available measurement number of each tap joint position transformer to be estimated in island or between two islands and relevant isolated island type thereof, tap joint position transformer branch to be estimated
corresponding Observable criterion is adopted to judge the observability of the holonomic system be made up of isolated island and tap joint position transformer to be estimated.
In step 4) and step 5) in, the observability deterministic process of described non-level values Starting mode specifically comprises the following steps:
81) non-paired running tap joint position transformer branch to be estimated can with measuring the statistics of number: to step 2) each isolated island of dividing, the injection adding up tap joint position transformer branch two the to be estimated end node of the non-paired running of every bar measures number
i is tap joint position transformer branch numbering to be estimated; Add up every bar non-paired running tap joint position transformer branch circuit to be estimated meritorious measurement number
measurement number idle with circuit
current measurement number
search every bar non-paired running tap joint position transformer branch to be estimated and whether there is no-load voltage ratio measurement, if existed, then
otherwise
calculate the available measurement number of non-paired running tap joint position transformer branch i to be estimated
82) paired running tap joint position transformer branch to be estimated can with measuring the statistics of number: for step 2) the tap joint position transformer to be estimated of paired running in each isolated island of dividing, statistics is corresponding
then the tap joint position of paired running transformer to be estimated can be with measurement number
wherein j is the paired running tap joint position transformer number to be estimated comprised in branch road i arranged side by side;
83) can dead island be equivalent to the judgement on island alive: for each dead island, and the circuit adding up wherein every bar branch road measures number:
calculate
Wherein l is branch number; Search the Branch Power Flow island of resistance and reactance non-zero and judge
whether be greater than 2, if be greater than 2, then island of checkmating is designated island alive and stops searching; If still can not checkmate after all searching all Branch Power Flow islands, island is designated island alive, then search the non-Branch Power Flow island of resistance and reactance non-zero and judge
whether be greater than 0, if be greater than 0, then island of checkmating is designated island alive and stops searching;
84) Analysis on Observability: according to the available measurement number of each tap joint position transformer to be estimated in island or between two islands and relevant isolated island type thereof, tap joint position transformer branch to be estimated
corresponding Observable criterion is adopted to judge the observability of the holonomic system be made up of isolated island and transformer to be estimated.
The electric power system observability determination methods of consideration load tap changer location estimation provided by the invention compared with prior art has following characteristics:
The mission observability test criterion containing transformer tap positions estimation proposed determines the observability of its system according to state estimation Starting mode, no-load voltage ratio island, transformer both sides to be estimated or the type on island, place and the measure configuration situation of transformer branch, avoid numerical computations, simple and easy to do compared to traditional algebraic method, accurately and reliably.
Accompanying drawing explanation
Fig. 1 is the flow chart of the electric power system observability determination methods of consideration load tap changer location estimation provided by the invention.
Fig. 2 is the measure configuration I of IEEE14 node, and wherein except transformer branch, all the other branch roads are P-Q and measure right, and transformer branch 5-6 measures for meritorious, and 4-7,4-9 are idle measurement, and the tap of transformer 5-6,4-7,4-9 is to be estimated.
Fig. 3 and Fig. 4 is two isolated islands decomposed from Fig. 2.
Fig. 5 is the measure configuration II of IEEE14 node, wherein power measurement be P-Q measure right, the tap joint position of transformer branch 5-6 is to be estimated.
Fig. 6 is off the measure configuration of the IEEE14 node of all tap joint position transformer to be estimated in Fig. 5.
Embodiment
Be described in detail below in conjunction with the electric power system observability determination methods of the drawings and specific embodiments to consideration load tap changer location estimation provided by the invention.
As shown in Figure 1, the electric power system observability determination methods of consideration load tap changer location estimation provided by the invention comprises the following step performed in order:
Step 1) divide maximum observable island: according to network topology and metric data, adopt topological method from network, mark off maximum observable island;
Step 2) divide isolated island: break step 1) tap joint position transformer to be estimated all in the maximum observable island that divides, by step 1) the maximum observable island that divides is divided into several isolated islands, make tap joint position transformer to be estimated between two isolated islands or certain isolated island inside, the previous case is called situation I, and latter event is called situation II;
Step 3) determine isolated island Observable type: the directly related measurement of tap joint position not considering tap joint position transformer branch to be estimated, adopts topological method to judge the Observable type of each isolated island;
Step 4) tap joint position wait estimate transformer between two isolated islands time observability judge: according to circumstances under I the Observable criterion of non-level values Starting mode or level values Starting mode judge by two isolated islands and between the observability of holonomic system that forms of tap joint position transformer to be estimated;
Step 5) tap joint position wait estimate transformer be positioned at certain isolated island inner time observability judge: according to circumstances under II, the Observable criterion of non-level values Starting mode or level values Starting mode judges the observability of the holonomic system be made up of the tap joint position transformer to be estimated of isolated island and inside thereof.
In step 3) in, the directly related measurement of described tap joint position specifically comprises:
The directly related measurement of tap joint position comprises the relevant meritorious measurement of tap joint position transformer branch i-j to be estimated, idle measurement, current measurement and no-load voltage ratio and measures, namely
and K
meatotally 11 measurements.
In step 4) in, under described situation I, the Observable criterion of non-level values Starting mode specifically comprises:
31) when two isolated islands are island alive, meeting following condition, then to comprise the holonomic system algebraically on tap joint position transformer to be estimated and two islands considerable:
All at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated; And at least one of them has the measurement directly related with other tap joint position of more than 2 or 2;
32) when a Ge Weihuo island, another be dead island time, meet one of following three conditions, then the holonomic system comprising tap joint position transformer to be estimated and two islands is considerable:
(1) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least one of them has more than 2 or 2 measurements directly related with other tap joint position, a resistance and reactance non-zero branch road is at least there is in dead island, at least there is the 1 pair of line power and to measure and its outer circuit measures in it, or this branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
(2) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least one of them has more than 3 or 3 measurements directly related with other tap joint position;
(3) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least wherein two have more than 2 or 2 measurements directly related with other tap joint position;
33) when two isolated islands are dead island, the holonomic system algebraically comprising tap joint position transformer to be estimated and two islands first meeting following three conditions is considerable:
(1) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least one of them has the measurement directly related with other tap joint position of more than 2 or 2, at least a resistance and reactance non-zero branch road is there is respectively in Liang Gesi island, at least there is respectively 1 pair of line power and to measure and its outer circuit measures in it, or branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
(2) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least one of them has more than 3 or 3 measurements directly related with other tap joint position, a resistance and reactance non-zero branch road is at least there is in one of them dead island, at least there is the 1 pair of line power and to measure and its outer circuit measures in it, or this branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
(3) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least wherein two have more than 2 or 2 measurements directly related with other tap joint position, a resistance and reactance non-zero branch road is at least there is in one of them dead island, at least there is the 1 pair of line power and to measure and its outer circuit measures in it, or this branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
34) when one of two isolated islands or two islands are unobservable island, the holonomic system comprising tap joint position transformer to be estimated and two islands is unobservable.
In step 4) in, under described situation I, the Observable criterion of level values Starting mode specifically comprises:
41) when two isolated islands are island alive, meeting following condition, then to comprise the holonomic system algebraically on tap joint position transformer to be estimated and two islands considerable:
All at least there is 1 power measurement directly related with other tap joint position in each tap joint position transformer to be estimated or no-load voltage ratio measures; And at least one of them has more than 2 or 2 different kind power measurements directly related from other tap joint position (be that circuit is meritorious time namely different to measure or the idle measurement of circuit, lower with) or no-load voltage ratio measurement;
42) when a Ge Weihuo island, another be dead island time, meet one of following two conditions, then the holonomic system algebraically comprising tap joint position transformer to be estimated and this island is considerable:
(1) all at least there is 1 power measurement directly related with other tap joint position or no-load voltage ratio measures in each tap joint position transformer to be estimated; And at least one of them has more than 3 or 3 different kind power measurements directly related with other tap joint position or no-load voltage ratio to measure;
(2) all at least there is 1 power measurement directly related with other tap joint position or no-load voltage ratio measures in each tap joint position transformer to be estimated; And at least wherein two have more than 2 or 2 different kind power measurements directly related with other tap joint position or no-load voltage ratio to measure;
43), when two isolated islands are dead island, the holonomic system comprising tap joint position transformer to be estimated and two islands is unobservable.
In step 5) in, under described situation II, the Observable criterion of non-level values Starting mode specifically comprises:
51) when isolated island is for island alive, for each tap joint position transformer to be estimated, the measurement that at least existence 1 is directly related with its tap joint position;
52) when isolated island is dead island, for each tap joint position transformer to be estimated, the measurement that at least existence 1 is directly related with its tap joint position, a resistance and reactance non-zero branch road is at least there is in dead island, at least there is the 1 pair of line power and to measure and its outer circuit measures in it, or this branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
53) when isolated island is unobservable island, the holonomic system comprising tap joint position transformer to be estimated and this island is unobservable.
In step 5) in, under described situation II, the Observable criterion of level values Starting mode specifically comprises:
61) when isolated island is for island alive, for each tap joint position transformer to be estimated, the measurement that at least existence 1 is directly related with its tap joint position;
62) when isolated island is dead island, the holonomic system comprising tap joint position transformer to be estimated and this island is unobservable;
63) when isolated island is unobservable island, the holonomic system comprising tap joint position transformer to be estimated and this island is unobservable.
In step 4) and step 5) in, the observability deterministic process under described level values Starting mode specifically comprises the following steps:
71) non-paired running tap joint position transformer branch to be estimated can with measuring the statistics of number: to step 2) each isolated island of dividing, the injection adding up tap joint position transformer branch two the to be estimated end node of the non-paired running of its every bar measures number
i is tap joint position transformer branch numbering to be estimated; Search every bar non-paired running tap joint position transformer branch to be estimated and whether there is the meritorious measurement of circuit, if existed, then
otherwise
search every bar non-paired running tap joint position transformer branch to be estimated and whether there is the idle measurement of circuit, if existed, then
otherwise
search every bar non-paired running tap joint position transformer branch to be estimated and whether there is no-load voltage ratio measurement, if existed, then
otherwise
calculate the available measurement number of non-paired running tap joint position transformer branch i to be estimated
72) paired running tap joint position transformer branch to be estimated can with measuring the statistics of number: for step 2) the tap joint position transformer to be estimated of paired running in each isolated island of dividing, with step 71) in like manner statistics is corresponding
then the tap joint position of paired running transformer to be estimated can be with measurement number
wherein j is the paired running tap joint position transformer number to be estimated comprised in branch road i;
73) Analysis on Observability: according to the available measurement number of each tap joint position transformer to be estimated in island or between two islands and relevant isolated island type thereof, tap joint position transformer branch to be estimated
corresponding Observable criterion is adopted to judge the observability of the holonomic system be made up of isolated island and tap joint position transformer to be estimated.
In step 4) and step 5) in, the observability deterministic process of described non-level values Starting mode specifically comprises the following steps:
81) non-paired running tap joint position transformer branch to be estimated can with measuring the statistics of number: to step 2) each isolated island of dividing, the injection adding up tap joint position transformer branch two the to be estimated end node of the non-paired running of every bar measures number
i is tap joint position transformer branch numbering to be estimated; Add up every bar non-paired running tap joint position transformer branch circuit to be estimated meritorious measurement number
measurement number idle with circuit
current measurement number
search every bar non-paired running tap joint position transformer branch to be estimated and whether there is no-load voltage ratio measurement, if existed, then
otherwise
calculate the available measurement number of non-paired running tap joint position transformer branch i to be estimated
82) paired running tap joint position transformer branch to be estimated can with measuring the statistics of number: for step 2) the tap joint position transformer to be estimated of paired running in each isolated island of dividing, statistics is corresponding
then the tap joint position of paired running transformer to be estimated can be with measurement number
wherein j is the paired running tap joint position transformer number to be estimated comprised in branch road i arranged side by side;
83) can dead island be equivalent to the judgement on island alive: for each dead island, and the circuit adding up wherein every bar branch road measures number:
calculate
Wherein l is branch number; Search the Branch Power Flow island of resistance and reactance non-zero and judge
whether be greater than 2, if be greater than 2, then island of checkmating is designated island alive and stops searching; If still can not checkmate after all searching all Branch Power Flow islands, island is designated island alive, then search the non-Branch Power Flow island of resistance and reactance non-zero and judge
whether be greater than 0, if be greater than 0, then island of checkmating is designated island alive and stops searching;
84) Analysis on Observability: according to the available measurement number of each tap joint position transformer to be estimated in island or between two islands and relevant isolated island type thereof, tap joint position transformer branch to be estimated
corresponding Observable criterion is adopted to judge the observability of the holonomic system be made up of isolated island and transformer to be estimated.
Embodiment 1
1) divide maximum observable island: to the IEEE14 node system of measure configuration shown in Fig. 2, according to topological method analysis, this system known is maximum observable island.
2) isolated island is divided: all tap joint position transformer to be estimated in fragmentary 2, be then decomposed into Fig. 3 and Fig. 4 two sub-isolated islands, be called isolated island 1 and isolated island 2 by Fig. 2.
3) determine isolated island Observable type: employing topological method traversing graph 3 can obtain the maximum full rank tree comprising whole node, owing to there being voltage to measure in island, now the type on sub-island 1 is island of living.Adopt topological method traversing graph 4 known, inject measurement because node 8 exists the power meeting Kirchhoff's law, branch road can be converted into and measure, therefore can obtain the full rank tree comprising all nodes in this island, owing to there being voltage to measure in island, now sub-island 2 type is island of living; Namely isolated island 1,2 is island alive.
4) when state estimation Starting mode selects level values to start, the available measurement number of each tap joint position transformer to be estimated can be added up with the statistical measuring number: transformer branch 4-7 can be 1 with measurement number with tap joint position transformer to be estimated under level values Starting mode, 4-9 can be 1,5-6 with measurement number can be 2 with measurement number.Because isolated island 1 and isolated island 2 are island alive, the Observable criterion being island alive according to level values Starting mode Xia Liang island can judge the system Observable of measure configuration shown in Fig. 2 fast.
Embodiment 2
The voltage of Fig. 2 interior joint 3 is measured and deletes as new system, owing to only affecting the type of isolated island after the measurement of deletion of node voltage, therefore in like manner by embodiment 1 step, according under level values Starting mode wherein the Observable criterion on a Dao Weisi island, another Dao Weihuo island can judge that the system of making new advances is unobservable fast.If increase the idle measurement of branch road of tap joint position transformer to be estimated 5-6, then according under level values Starting mode wherein the Observable criterion on a Dao Weisi island, another Dao Weihuo island can judge that the voltage of the deletion of node of measure configuration shown in Fig. 23 measures and increases the system Observable of tap joint position after the idle measurement of the branch road estimating transformer 5-6 fast.
Embodiment 3
1) divide maximum observable island: to the IEEE14 node system of measure configuration shown in Fig. 5, according to topological method analysis, this system known is maximum observable island.
2) isolated island is divided: all tap joint position transformer to be estimated in fragmentary 5 is still then a sub-isolated island (Fig. 6).
3) determine isolated island Observable type: employing topological method traversing graph 6 can obtain the maximum full rank tree comprising whole node, owing to there being voltage to measure in island, the type on this island is island of living.
4), when state estimation Starting mode selects level values to start, the available measurement number of each tap joint position transformer to be estimated can be added up with the statistical measuring number according to tap joint position transformer to be estimated under level values Starting mode: transformer branch 5-6 can be 1 with measurement number.Due to this Dao Weihuo island, be that the live Observable criterion on island can judge the system Observable of measure configuration shown in Fig. 5 fast according to isolated island under level values Starting mode.
Embodiment 4
The system after deleting that measured by the voltage of Fig. 5 interior joint 3 is as new system, owing to only affecting the type of isolated island after the measurement of deletion of node voltage, therefore in like manner by embodiment 3 step, the available measurement number of each tap joint position transformer to be estimated can be added up with the statistical measuring number according to tap joint position transformer to be estimated under level values Starting mode: transformer branch 5-6 can be 1 with measurement number.Due to this Dao Weisi island, therefore new system is unobservable.
Be not difficult to find out by above embodiment, containing load tap changer, what the present invention proposed estimates that electric power system observability determination methods completely avoid numerical computations, can realize the judgement of mission observability fast.Above-described specific embodiment is only and illustrates and of the present inventionly realize effect, not in order to limit the present invention.The amendment of any unsubstantiality done within all basic ideas in method proposed by the invention and framework, conversion and improvement, all should be included within protection scope of the present invention.
The present invention utilizes the directly related measurement of tap joint position and isolated island type, realize the quick judgement of electric power system observability, the equivalent condition that the dead island that this method proposes is equivalent to island alive avoids and is fixed against virtual voltage and measures and divide Si Daoyuhuo island, expand the concept on Liao Huo island, ensure that the accuracy that observability is checked.
Claims (8)
1. consider an electric power system observability determination methods for load tap changer location estimation, it is characterized in that: it comprises the following step performed in order:
Step 1) divide maximum observable island: according to network topology and metric data, adopt topological method from network, mark off maximum observable island;
Step 2) divide isolated island: break step 1) tap joint position transformer to be estimated all in the maximum observable island that divides, by step 1) the maximum observable island that divides is divided into several isolated islands, make tap joint position transformer to be estimated between two isolated islands or certain isolated island inside, the previous case is called situation I, and latter event is called situation II;
Step 3) determine isolated island Observable type: the directly related measurement of tap joint position not considering tap joint position transformer branch to be estimated, adopts topological method to judge the Observable type of each isolated island;
Step 4) tap joint position wait estimate transformer between two isolated islands time observability judge: according to circumstances under I the Observable criterion of non-level values Starting mode or level values Starting mode judge by two isolated islands and between the observability of holonomic system that forms of tap joint position transformer to be estimated;
Step 5) tap joint position wait estimate transformer be positioned at certain isolated island inner time observability judge: according to circumstances under II, the Observable criterion of non-level values Starting mode or level values Starting mode judges the observability of the holonomic system be made up of the tap joint position transformer to be estimated of isolated island and inside thereof.
2. the electric power system observability determination methods of consideration load tap changer location estimation according to claim 1, is characterized in that: in step 3) in, the directly related measurement of described tap joint position specifically comprises:
The directly related measurement of tap joint position comprises the relevant meritorious measurement of tap joint position transformer branch i-j to be estimated, idle measurement, current measurement and no-load voltage ratio and measures, namely
and K
meatotally 11 measurements.
3. the electric power system observability determination methods of consideration load tap changer location estimation according to claim 1, is characterized in that: in step 4) in, under described situation I, the Observable criterion of non-level values Starting mode specifically comprises:
31) when two isolated islands are island alive, meeting following condition, then to comprise the holonomic system algebraically on tap joint position transformer to be estimated and two islands considerable:
All at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated; And at least one of them has the measurement directly related with other tap joint position of more than 2 or 2;
32) when a Ge Weihuo island, another be dead island time, meet one of following three conditions, then the holonomic system comprising tap joint position transformer to be estimated and two islands is considerable:
(1) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least one of them has more than 2 or 2 measurements directly related with other tap joint position, a resistance and reactance non-zero branch road is at least there is in dead island, at least there is the 1 pair of line power and to measure and its outer circuit measures in it, or this branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
(2) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least one of them has more than 3 or 3 measurements directly related with other tap joint position;
(3) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least wherein two have more than 2 or 2 measurements directly related with other tap joint position;
33) when two isolated islands are dead island, the holonomic system algebraically comprising tap joint position transformer to be estimated and two islands first meeting following three conditions is considerable:
(1) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least one of them has the measurement directly related with other tap joint position of more than 2 or 2, at least a resistance and reactance non-zero branch road is there is respectively in Liang Gesi island, at least there is respectively 1 pair of line power and to measure and its outer circuit measures in it, or branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
(2) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least one of them has more than 3 or 3 measurements directly related with other tap joint position, a resistance and reactance non-zero branch road is at least there is in one of them dead island, at least there is the 1 pair of line power and to measure and its outer circuit measures in it, or this branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
(3) all at least there is 1 measurement directly related with other tap joint position in each tap joint position transformer to be estimated, and at least wherein two have more than 2 or 2 measurements directly related with other tap joint position, a resistance and reactance non-zero branch road is at least there is in one of them dead island, at least there is the 1 pair of line power and to measure and its outer circuit measures in it, or this branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
34) when one of two isolated islands or two islands are unobservable island, the holonomic system comprising tap joint position transformer to be estimated and two islands is unobservable.
4. the electric power system observability determination methods of consideration load tap changer location estimation according to claim 1, is characterized in that: in step 4) in, under described situation I, the Observable criterion of level values Starting mode specifically comprises:
41) when two isolated islands are island alive, meeting following condition, then to comprise the holonomic system algebraically on tap joint position transformer to be estimated and two islands considerable:
All at least there is 1 power measurement directly related with other tap joint position in each tap joint position transformer to be estimated or no-load voltage ratio measures; And at least one of them has more than 2 or 2 different kind power measurements directly related from other tap joint position (be that circuit is meritorious time namely different to measure or the idle measurement of circuit, lower with) or no-load voltage ratio measurement;
42) when a Ge Weihuo island, another be dead island time, meet one of following two conditions, then the holonomic system algebraically comprising tap joint position transformer to be estimated and this island is considerable:
(1) all at least there is 1 power measurement directly related with other tap joint position or no-load voltage ratio measures in each tap joint position transformer to be estimated; And at least one of them has more than 3 or 3 different kind power measurements directly related with other tap joint position or no-load voltage ratio to measure;
(2) all at least there is 1 power measurement directly related with other tap joint position or no-load voltage ratio measures in each tap joint position transformer to be estimated; And at least wherein two have more than 2 or 2 different kind power measurements directly related with other tap joint position or no-load voltage ratio to measure;
43), when two isolated islands are dead island, the holonomic system comprising tap joint position transformer to be estimated and two islands is unobservable.
5. the electric power system observability determination methods of consideration load tap changer location estimation according to claim 1, is characterized in that: in step 5) in, under described situation II, the Observable criterion of non-level values Starting mode specifically comprises:
51) when isolated island is for island alive, for each tap joint position transformer to be estimated, the measurement that at least existence 1 is directly related with its tap joint position;
52) when isolated island is dead island, for each tap joint position transformer to be estimated, the measurement that at least existence 1 is directly related with its tap joint position, a resistance and reactance non-zero branch road is at least there is in dead island, at least there is the 1 pair of line power and to measure and its outer circuit measures in it, or this branch road two side gusset at least there is 1 pair of power measurement and this branch road at least exists a circuit measures;
53) when isolated island is unobservable island, the holonomic system comprising tap joint position transformer to be estimated and this island is unobservable.
6. the electric power system observability determination methods of consideration load tap changer location estimation according to claim 1, is characterized in that: in step 5) in, under described situation II, the Observable criterion of level values Starting mode specifically comprises:
61) when isolated island is for island alive, for each tap joint position transformer to be estimated, the measurement that at least existence 1 is directly related with its tap joint position;
62) when isolated island is dead island, the holonomic system comprising tap joint position transformer to be estimated and this island is unobservable;
63) when isolated island is unobservable island, the holonomic system comprising tap joint position transformer to be estimated and this island is unobservable.
7. the electric power system observability determination methods of consideration load tap changer location estimation according to claim 1, it is characterized in that: in step 4) and step 5) in, the observability deterministic process under described level values Starting mode specifically comprises the following steps:
71) non-paired running tap joint position transformer branch to be estimated can with measuring the statistics of number: to step 2) each isolated island of dividing, the injection adding up tap joint position transformer branch two the to be estimated end node of the non-paired running of its every bar measures number
i is tap joint position transformer branch numbering to be estimated; Search every bar non-paired running tap joint position transformer branch to be estimated and whether there is the meritorious measurement of circuit, if existed, then
otherwise
search every bar non-paired running tap joint position transformer branch to be estimated and whether there is the idle measurement of circuit, if existed, then
otherwise
search every bar non-paired running tap joint position transformer branch to be estimated and whether there is no-load voltage ratio measurement, if existed, then
otherwise
calculate the available measurement number of non-paired running tap joint position transformer branch i to be estimated
72) paired running tap joint position transformer branch to be estimated can with measuring the statistics of number: for step 2) the tap joint position transformer to be estimated of paired running in each isolated island of dividing, with step 71) in like manner statistics is corresponding
then the tap joint position of paired running transformer to be estimated can be with measurement number
wherein j is the paired running tap joint position transformer number to be estimated comprised in branch road i;
73) Analysis on Observability: according to the available measurement number of each tap joint position transformer to be estimated in island or between two islands and relevant isolated island type thereof, tap joint position transformer branch to be estimated
corresponding Observable criterion is adopted to judge the observability of the holonomic system be made up of isolated island and tap joint position transformer to be estimated.
8. the electric power system observability determination methods of consideration load tap changer location estimation according to claim 1, it is characterized in that: in step 4) and step 5) in, the observability deterministic process of described non-level values Starting mode specifically comprises the following steps:
81) non-paired running tap joint position transformer branch to be estimated can with measuring the statistics of number: to step 2) each isolated island of dividing, the injection adding up tap joint position transformer branch two the to be estimated end node of the non-paired running of every bar measures number
i is tap joint position transformer branch numbering to be estimated; Add up every bar non-paired running tap joint position transformer branch circuit to be estimated meritorious measurement number
measurement number idle with circuit
current measurement number
search every bar non-paired running tap joint position transformer branch to be estimated and whether there is no-load voltage ratio measurement, if existed, then
otherwise
calculate the available measurement number of non-paired running tap joint position transformer branch i to be estimated
82) paired running tap joint position transformer branch to be estimated can with measuring the statistics of number: for step 2) the tap joint position transformer to be estimated of paired running in each isolated island of dividing, statistics is corresponding
then the tap joint position of paired running transformer to be estimated can be with measurement number
wherein j is the paired running tap joint position transformer number to be estimated comprised in branch road i arranged side by side;
83) can dead island be equivalent to the judgement on island alive: for each dead island, and the circuit adding up wherein every bar branch road measures number:
calculate
wherein l is branch number; Search the Branch Power Flow island of resistance and reactance non-zero and judge
whether be greater than 2, if be greater than 2, then island of checkmating is designated island alive and stops searching; If still can not checkmate after all searching all Branch Power Flow islands, island is designated island alive, then search the non-Branch Power Flow island of resistance and reactance non-zero and judge
whether be greater than 0, if be greater than 0, then island of checkmating is designated island alive and stops searching;
84) Analysis on Observability: according to the available measurement number of each tap joint position transformer to be estimated in island or between two islands and relevant isolated island type thereof, tap joint position transformer branch to be estimated
corresponding Observable criterion is adopted to judge the observability of the holonomic system be made up of isolated island and transformer to be estimated.
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