JP2002051469A - Transmission limit searching method and recording medium with transmission limit search program recorded thereon - Google Patents
Transmission limit searching method and recording medium with transmission limit search program recorded thereonInfo
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- JP2002051469A JP2002051469A JP2000227755A JP2000227755A JP2002051469A JP 2002051469 A JP2002051469 A JP 2002051469A JP 2000227755 A JP2000227755 A JP 2000227755A JP 2000227755 A JP2000227755 A JP 2000227755A JP 2002051469 A JP2002051469 A JP 2002051469A
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Abstract
Description
【発明の詳細な説明】DETAILED DESCRIPTION OF THE INVENTION
【０００１】[0001]
【発明の属する技術分野】この発明は、発電機や負荷な
どから構成される電力系統の送電限界値を算出するに際
して、計算量の軽減や精度の向上を図る送電限界探索方
法及び送電限界探索プログラムが記録された記録媒体に
関するものである。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a transmission limit search method and a transmission limit search program for reducing the amount of calculation and improving the accuracy when calculating the transmission limit of a power system including a generator and a load. Is a recording medium on which is recorded.
【０００２】[0002]
【従来の技術】図７は従来の送電限界探索方法を示すフ
ローチャートである。図において、ＳＴ１は詳細安定度
計算に必要なデータを作成するステップ、ＳＴ２はステ
ップＳＴ１で作成されたデータを用いて詳細安定度計算
を実行するステップ、ＳＴ３は詳細安定度計算の計算結
果を解析するステップ、ＳＴ４は電力系統が安定である
か否かを判定する判定ステップ、ＳＴ５は電力系統が安
定である場合、潮流量を増やすステップ、ＳＴ６は電力
系統が不安定である場合、電力系統が不安定になる直前
の潮流量を送電限界値と認定するステップである。2. Description of the Related Art FIG. 7 is a flowchart showing a conventional power transmission limit searching method. In the figure, ST1 is a step of creating data necessary for detailed stability calculation, ST2 is a step of executing detailed stability calculation using the data created in step ST1, and ST3 is an analysis of a calculation result of the detailed stability calculation. ST4 is a determining step of determining whether the power system is stable. ST5 is a step of increasing the tide flow when the power system is stable. ST6 is a step of increasing the tide flow when the power system is unstable. This is a step in which the tide flow immediately before becoming unstable is recognized as the transmission limit value.
【０００３】次に動作について説明する。送電限界値を
算出する場合、まず、詳細安定度計算に必要なデータを
作成し（ステップＳＴ１）、そのデータを用いて詳細安
定度計算を実行する（ステップＳＴ２）。Next, the operation will be described. When calculating the power transmission limit value, first, data necessary for the detailed stability calculation is created (step ST1), and the detailed stability calculation is executed using the data (step ST2).
【０００４】そして、その詳細安定度計算の計算結果を
解析して（ステップＳＴ３）、電力系統が安定であるか
否かを判定する（ステップＳＴ４）。電力系統が安定で
ある場合、特定の発電機や負荷の値を増やすなどして潮
流量を増やし（ステップＳＴ５）、上記の詳細安定度計
算を再実行させる。一方、電力系統が不安定になると、
電力系統が不安定になる直前の潮流量を送電限界値と認
定する（ステップＳＴ６）。Then, the result of the detailed stability calculation is analyzed (step ST3), and it is determined whether or not the power system is stable (step ST4). If the power system is stable, the tidal flow is increased by increasing the value of a specific generator or load (step ST5), and the detailed stability calculation is executed again. On the other hand, when the power system becomes unstable,
The tide flow immediately before the power system becomes unstable is recognized as the power transmission limit value (step ST6).
【０００５】[0005]
【発明が解決しようとする課題】従来の送電限界探索方
法は以上のように構成されているので、詳細安定度計算
を繰り返し実行すれば、送電限界値を求めることができ
るが、詳細安定度計算の計算が完了するまでに長時間を
要するため、速やかに送電限界値を求めることができな
い課題があった。Since the conventional power transmission limit search method is configured as described above, the power transmission limit value can be obtained by repeatedly executing the detailed stability calculation. Since it takes a long time to complete the calculation, the power transmission limit value cannot be quickly obtained.
【０００６】この発明は上記のような課題を解決するた
めになされたもので、正確な送電限界値を速やかに求め
ることができる送電限界探索方法及び送電限界探索プロ
グラムが記録された記録媒体を得ることを目的とする。SUMMARY OF THE INVENTION The present invention has been made to solve the above problems, and provides a power transmission limit search method and a recording medium on which a power transmission limit search program capable of promptly obtaining an accurate power transmission limit value is recorded. The purpose is to:
【０００７】[0007]
【課題を解決するための手段】この発明に係る送電限界
探索方法は、安定度判別の判別結果が安定であることを
示す場合には、送電量を増やして安定度計算と安定度判
別の並列実行を継続する一方、その判別結果が不安定で
あることを示す場合には、安定度計算と安定度判別の実
行を中止し、不安定になる直前の送電量を送電限界値と
認定するようにしたものである。According to the power transmission limit search method of the present invention, when the determination result of the stability determination indicates that the stability is stable, the power transmission amount is increased and the stability calculation and the stability determination are performed in parallel. If the determination result shows that the determination is unstable while continuing the execution, the execution of the stability calculation and the stability determination is stopped, and the power transmission amount immediately before becoming unstable is recognized as the power transmission limit value. It was made.
【０００８】この発明に係る送電限界探索方法は、安定
度計算における事故除去直後の計算結果から大まかな安
定度判別を実行して不安定なケースをスクリーニング
し、その不安定なケースについて詳細な安定度判別を実
行するようにしたものである。[0008] In the power transmission limit search method according to the present invention, rough stability discrimination is performed from the calculation result immediately after the removal of an accident in stability calculation to screen an unstable case, and a detailed stability analysis is performed on the unstable case. The degree determination is executed.
【０００９】この発明に係る送電限界探索方法は、電力
系統の運動エネルギーと位置エネルギーを算出し、その
運動エネルギーと位置エネルギーを比較して安定度を判
別するようにしたものである。In the power transmission limit searching method according to the present invention, the kinetic energy and the potential energy of the power system are calculated, and the kinetic energy and the potential energy are compared to determine the stability.
【００１０】この発明に係る送電限界探索方法は、送電
限界値が認定されると、安定度計算を実行して、その送
電限界値の正当性を確認するようにしたものである。In the power transmission limit search method according to the present invention, when a power transmission limit value is recognized, a stability calculation is executed to confirm the validity of the power transmission limit value.
【００１１】この発明に係る送電限界探索プログラムが
記録された記録媒体は、安定度判別の判別結果が安定で
あることを示す場合には、送電量を増やして安定度計算
と安定度判別の実行を継続させる一方、その判別結果が
不安定であることを示す場合には、安定度計算と安定度
判別の実行を中止させて、不安定になる直前の送電量を
送電限界値と認定する送電限界値認定処理手順を設けた
ものである。In the recording medium on which the power transmission limit search program according to the present invention is recorded, when the determination result of the stability determination indicates that the power transmission is stable, the power transmission amount is increased to execute the stability calculation and the stability determination. If the determination result indicates that the stability is unstable, the calculation of the stability and the execution of the stability determination are stopped, and the power transmission amount immediately before the power becomes unstable is recognized as the power transmission limit value. A limit value recognition processing procedure is provided.
【００１２】この発明に係る送電限界探索プログラムが
記録された記録媒体は、安定度判別処理手順が安定度計
算における事故除去直後の計算結果から大まかな安定度
判別を実行して不安定なケースをスクリーニングし、そ
の不安定なケースについて詳細な安定度判別を実行する
ようにしたものである。In the recording medium on which the power transmission limit search program according to the present invention is recorded, the stability discrimination processing procedure performs the rough stability discrimination from the calculation result immediately after the accident is eliminated in the stability calculation, and the unstable case is determined. The screening is performed, and a detailed stability determination is performed for the unstable case.
【００１３】この発明に係る送電限界探索プログラムが
記録された記録媒体は、安定度判別処理手順が電力系統
の運動エネルギーと位置エネルギーを算出し、その運動
エネルギーと位置エネルギーを比較して安定度を判別す
るようにしたものである。[0013] In the recording medium on which the power transmission limit search program according to the present invention is recorded, the stability discrimination procedure calculates the kinetic energy and the potential energy of the power system, and compares the kinetic energy and the potential energy to determine the stability. This is to determine.
【００１４】この発明に係る送電限界探索プログラムが
記録された記録媒体は、送電限界値が認定されると、安
定度計算を実行して、その送電限界値の正当性を確認す
る確認処理手順を設けたものである。When the power transmission limit search program according to the present invention is recorded on the recording medium, when the power transmission limit value is recognized, a stability calculation is executed to confirm the validity of the power transmission limit value. It is provided.
【００１５】[0015]
【発明の実施の形態】以下、この発明の実施の一形態を
説明する。 実施の形態１．図１はこの発明の実施の形態１による送
電限界探索方法を示すフローチャートである。図におい
て、ＳＴ１１は詳細安定度計算に必要なデータを作成す
るステップ、ＳＴ１２はステップＳＴ１１で作成された
データを用いて詳細安定度計算を実行するステップ、Ｓ
Ｔ１３は詳細安定度計算と並列に実行し、その詳細安定
度計算の計算途中結果に基づいて短絡電流を算定するス
テップ、ＳＴ１４は詳細安定度計算と並列に実行し、そ
の詳細安定度計算の計算途中結果に基づいて過負荷判別
を行うステップ、ＳＴ１５は詳細安定度計算と並列に実
行し、その詳細安定度計算の計算途中結果に基づいて電
圧安定度判別を行うステップ、ＳＴ１６は詳細安定度計
算と並列に実行し、その詳細安定度計算の計算途中結果
に基づいて過渡安定度判別を行うステップである。DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS One embodiment of the present invention will be described below. Embodiment 1 FIG. FIG. 1 is a flowchart showing a power transmission limit search method according to Embodiment 1 of the present invention. In the figure, ST11 is a step of creating data required for detailed stability calculation, ST12 is a step of executing detailed stability calculation using the data created in step ST11, S
T13 executes in parallel with the detailed stability calculation, and calculates the short-circuit current based on the intermediate calculation result of the detailed stability calculation. ST14 executes in parallel with the detailed stability calculation and calculates the detailed stability calculation. ST15: a step of performing overload determination based on the intermediate result; ST15, executing in parallel with the detailed stability calculation; and performing a voltage stability determination based on the intermediate result of the detailed stability calculation. ST16: Detailed stability calculation. And a step of performing a transient stability determination based on the intermediate calculation result of the detailed stability calculation.
【００１６】ＳＴ１７はステップＳＴ１３〜ＳＴ１６に
おける判別結果から電力系統が安定であるか否かを判定
するステップ、ＳＴ１８は電力系統が安定である場合、
送電量を増やすステップ、ＳＴ１９は電力系統が不安定
である場合、電力系統が不安定になる直前の送電量を送
電限界値と認定するステップである。ST17 is a step for judging whether or not the power system is stable based on the determination results in steps ST13 to ST16. ST18 is a step for determining whether the power system is stable.
When the power system is unstable, ST19 is a step of certifying the power transmission amount immediately before the power system becomes unstable as the power transmission limit value when the power system is unstable.
【００１７】図２は送電限界探索方法を実行するプログ
ラムの構築例を示す説明図であり、図において、１はス
テップＳＴ１３の内容を実行する短絡電流算定部、２は
ステップＳＴ１４の内容を実行する過負荷判別部、３は
ステップＳＴ１５の内容を実行する電圧判別部、４はス
テップＳＴ１６の内容を実行する過渡安定度判別部であ
る。なお、送電限界探索方法を実行するプログラム（安
定度計算処理手順、安定度判別処理手順及び送電限界値
認定処理手順から構成される送電限界探索プログラム）
は、計算機が読み取ることが可能なハードディスクやＣ
ＤＲＯＭなどの記録媒体に記録されるものとする。FIG. 2 is an explanatory diagram showing an example of the construction of a program for executing the power transmission limit search method. In the figure, reference numeral 1 denotes a short-circuit current calculator that executes the contents of step ST13, and 2 executes the contents of step ST14. The overload judging section 3 is a voltage judging section for executing the contents of step ST15, and the reference numeral 4 is a transient stability judging section for executing the contents of step ST16. A program for executing the power transmission limit search method (a power transmission limit search program including a stability calculation processing procedure, a stability determination processing procedure, and a power transmission limit value qualification processing procedure)
Is a computer-readable hard disk or C
It shall be recorded on a recording medium such as a DROM.
【００１８】次に動作について説明する。送電限界値を
算出する場合、まず、詳細安定度計算に必要なデータを
作成し（ステップＳＴ１１）、そのデータを用いて詳細
安定度計算を実行する（ステップＳＴ１２）。Next, the operation will be described. When calculating the power transmission limit value, first, data necessary for the detailed stability calculation is created (step ST11), and the detailed stability calculation is executed using the data (step ST12).
【００１９】そして、詳細安定度計算の実行を開始する
と、その詳細安定度計算と並列に安定度判別を実行する
（ステップＳＴ１３〜ＳＴ１６）。即ち、その詳細安定
度計算の計算途中結果に基づく短絡電流の算定と、その
詳細安定度計算の計算途中結果に基づく過負荷の判定
と、その詳細安定度計算の計算途中結果に基づく電圧安
定度の判別と、その詳細安定度計算の計算途中結果に基
づく過渡安定度の判別とを行う。When the execution of the detailed stability calculation is started, the stability determination is executed in parallel with the detailed stability calculation (steps ST13 to ST16). That is, the calculation of the short-circuit current based on the intermediate calculation result of the detailed stability calculation, the determination of the overload based on the intermediate calculation result of the detailed stability calculation, and the voltage stability based on the intermediate calculation result of the detailed stability calculation. And the determination of the transient stability based on the intermediate calculation result of the detailed stability calculation.
【００２０】ステップＳＴ１３〜ＳＴ１６における判別
結果を参照し、電力系統が安定であるか否かを判定する
（ステップＳＴ１７）。電力系統が安定である場合、特
定の発電機や負荷の値を増やすなどして送電量を増やし
（ステップＳＴ１８）、上記の安定度判別を再実行させ
る。一方、電力系統が不安定になると、詳細安定度計算
と安定度判別の実行を中止し、電力系統が不安定になる
直前の送電量を送電限界値と認定する（ステップＳＴ１
９）。Referring to the determination results in steps ST13 to ST16, it is determined whether or not the power system is stable (step ST17). If the power system is stable, the amount of power transmission is increased by increasing the value of a specific generator or load (step ST18), and the above-described stability determination is executed again. On the other hand, when the power system becomes unstable, the execution of the detailed stability calculation and the stability determination is stopped, and the power transmission amount immediately before the power system becomes unstable is recognized as the power transmission limit value (step ST1).
9).
【００２１】以上で明らかなように、この実施の形態１
によれば、安定度判別の判別結果が安定であることを示
す場合には、送電量を増やして安定度計算と安定度判別
の並列実行を継続する一方、その判別結果が不安定であ
ることを示す場合には、安定度計算と安定度判別の実行
を中止し、不安定になる直前の送電量を送電限界値と認
定するように構成したので、詳細安定度計算の計算が完
了する前に、安定度の判別結果を得て送電限界値を求め
ることができる。したがって、正確な送電限界値を速や
かに求めることができる効果を奏する。As is apparent from the above, the first embodiment
According to the above, when the determination result of the stability determination indicates that it is stable, the power transmission amount is increased and the parallel execution of the stability calculation and the stability determination is continued, while the determination result is unstable. In the case of indicating, the execution of the stability calculation and the stability determination is stopped, and the transmission amount immediately before becoming unstable is recognized as the transmission limit value. Then, the power transmission limit value can be obtained by obtaining the stability determination result. Therefore, there is an effect that an accurate power transmission limit value can be quickly obtained.
【００２２】実施の形態２．図３は想定される事故ケー
スや潮流断面から明らかに安定と判別されるケースを効
率的に絞り込むスクリーニング処理を示すフローチャー
トであり、図４はスクリーニングの結果、不安定である
と判定されたケースに対して行う詳細な安定度判別処理
を示すフローチャートである。Embodiment 2 FIG. FIG. 3 is a flowchart showing a screening process for efficiently narrowing down an assumed accident case or a case determined to be clearly stable from the tidal current cross section, and FIG. 4 shows a flow chart of a case where the screening is determined to be unstable as a result of the screening. It is a flowchart which shows the detailed stability determination process performed with respect to it.
【００２３】上記実施の形態１では、詳細安定度計算と
安定度判別処理を並列に実行するものについて示した
が、安定度判別処理を実行するに際して、最初にスクリ
ーニング処理を実行してから詳細な安定度判別処理を実
行するようにしてもよい。In the first embodiment, the detailed stability calculation and the stability determination process are executed in parallel. However, when the stability determination process is performed, the detailed screening is performed after the screening process is first performed. The stability determination processing may be executed.
【００２４】最初にスクリーニング処理の内容から説明
する。スクリーニング処理とは、図５に示すような対象
系統内の発電機を加速側と減速側の２グループに分割し
て、各グループを１台の等価発電機に縮約し、等面積法
を適用して過渡安定度判別を行うものである。First, the contents of the screening process will be described. The screening process divides the generator in the target system as shown in Fig. 5 into two groups, acceleration side and deceleration side, reduces each group to one equivalent generator, and applies the equal area method. Then, the transient stability is determined.
【００２５】まず、事故除去後の詳細安定度結果から、
系統の慣性中心δcenterを求める。First, from the detailed stability results after the accident elimination,
Find the system center of inertia δ center .
【数１】 次に、各発電機の位相角δｉ と慣性中心δcenterとの
大小比較を実行し、慣性中心δcenterより位相角δｉ
が大きい発電機群を加速側グループ、慣性中心δcenter
より位相角δｉ が小さい発電機群を減速側グループと
して、これらの発電機群を（２）式〜（６）式に示すよ
うに、等価発電機に集約する。(Equation 1) Then run the comparison between the phase angle [delta] i and inertia center [delta] center of each generator, a phase angle from the inertia center [delta] center [delta] i
Generator group with large acceleration, acceleration group, center of inertia δ center
More phase angle [delta] i is smaller generator group as the deceleration side groups, these generators group (2) as shown in the expression - (6), aggregating the equivalent generator.
【数２】 (Equation 2)
【００２６】次に、上記の２機系を安定度的に等価な１
機系に縮約する。Next, the above-mentioned two airplanes are combined into one, which is equivalent in stability.
Reduce to a system.
【数３】 （９）式の機械的出力ＰE は次のように表すことができ
る。 ＰE ＝Ｐ0 ＋Ｐ1 ・ｓｉｎδ＋Ｐ2 ・ｃｏｓδ （１２） ここで、Ｐ0 ＝０と仮定すると、（１２）式は次のよう
に変形することができる。 ＰE ＝Ｐ1 ・ｓｉｎδ＋Ｐ2 ・ｃｏｓδ＝ＰPEAKｓｉｎ（δ＋δ0 ） （１３） ただし、ＰPEAK＝（Ｐ1 2+Ｐ2 2）1/2 (Equation 3) The mechanical output P E of equation (9) can be expressed as follows. P E = P 0 + P 1 · sin δ + P 2 · cos δ (12) Here, assuming that P 0 = 0, the equation (12) can be modified as follows. P E = P 1 · sin δ + P 2 · cos δ = P PEAK sin (δ + δ 0 ) (13) where P PEAK = (P 1 2 + P 2 2 ) 1/2
【００２７】次に、等価１機発電機の機械的出力ＰE と
位相角δから事故後の電力相差角曲線：ＰE ＝ＰPEAKｓ
ｉｎ（δ＋δ0 ）を求める。ただし、初期位相角δ0 は
わからないため、δ0 ＝０と仮定する。そして、事故後
の電力相差角曲線より、運動エネルギーＶk を下記に示
すように算出する。 Ｖk ＝Ｍω2 (t=ΔT) ／２ω0 （１４）Next, an electric power phase difference angle curve after the accident: P E = P PEAK s from the mechanical output P E of the equivalent single-generator and the phase angle δ.
in (δ + δ 0 ) is obtained. However, since the initial phase angle δ 0 is not known, it is assumed that δ 0 = 0. Then, from the power phase angle curve after an accident, to calculate the kinetic energy V k as shown below. V k = Mω 2 (t = ΔT) / 2ω 0 (14)
【００２８】δ0 ＝０と仮定しているため、電力相差角
曲線はＰE ＝ＰPEAKｓｉｎδとなり、ＰPEAK及び不安定
平衡点δu は下記のようにして算出することができる。Since it is assumed that δ 0 = 0, the power phase difference angle curve becomes P E = P PEAK sin δ, and P PEAK and the unstable equilibrium point δ u can be calculated as follows.
【数４】 そして、（１５）式及び（１６）式を下式に代入して、
位置エネルギーである臨界エネルギーＶc を算出する。(Equation 4) Then, substituting the equations (15) and (16) into the following equation,
Calculating the critical energy V c is the potential energy.
【数５】 (Equation 5)
【００２９】上記のようにして、運動エネルギーＶk と
臨界エネルギーＶc を算出すると、これらを大小比較す
ることにより、安定であるか不安定であるかを判別し、
スクリーニング処理を終了する。 Ｖk ＜Ｖc ：安定 Ｖk ≧Ｖc ：不安定When the kinetic energy Vk and the critical energy Vc are calculated as described above, they are compared to determine whether they are stable or unstable.
The screening process ends. V k <V c : stable V k ≧ V c : unstable
【００３０】次に詳細な安定度判別処理の内容について
説明する。上記のスクリーニング処理において、不安定
であると判定されたケースを対象にして、詳細な安定度
判別処理を一定間隔毎に行う。Next, the details of the stability determination processing will be described. In the above screening process, a detailed stability determination process is performed at regular intervals for a case determined to be unstable.
【００３１】まず、スクリーニング処理と同様に、図５
に示すような対象系統内の発電機を加速側と減速側の２
グループに分割して、各グループを１台の等価発電機に
縮約し、等面積法を適用して過渡安定度判別を行う。詳
細過渡安定度判別を行う時点（時刻ｔ）の詳細安定度計
算結果から系統の慣性中心δcenterを求める。First, as in the screening process, FIG.
The generators in the target system as shown in
It is divided into groups, each group is reduced to one equivalent generator, and the transient stability determination is performed by applying the equal area method. The center of inertia δ center of the system is determined from the detailed stability calculation result at the time (time t) at which the detailed transient stability determination is performed.
【数６】 (Equation 6)
【００３２】次に、各発電機の位相角δｉ （ｔ）と慣
性中心δcenterとの大小比較を実行し、慣性中心δ
centerより位相角δｉ （ｔ）が大きい発電機群を加速
側グループ、慣性中心δcenterより位相角δｉ （ｔ）
が小さい発電機群を減速側グループとして、これらの発
電機群を（１９）式〜（２３）式に示すように、等価発
電機に集約する。Next, a magnitude comparison between the phase angle δ i (t) of each generator and the center of inertia δ center is performed, and the center of inertia δ
The generator group having a larger phase angle δ i (t) than the center is the acceleration group, and the phase angle δ i (t) is larger than the inertia center δ center.
The generator groups having smaller values are defined as the deceleration-side groups, and these generator groups are grouped into equivalent generators as shown in Expressions (19) to (23).
【数７】 (Equation 7)
【００３３】次に、上記の２機系を安定度的に等価な１
機系に縮約する。Next, the above-mentioned two-machine system is converted into one which is equivalent in stability.
Reduce to a system.
【数８】 等価１機発電機の電力相差角曲線はＰE ＝ＰPEAKｓｉｎ
（δ＋δ0 ）で表されるが、これを変換すると次のよう
になる。(Equation 8) The power phase difference angle curve of the equivalent single generator is P E = P PEAK sin
(Δ + δ 0 ), which is converted as follows.
【数９】 (Equation 9)
【００３４】次に、詳細安定度計算のサンプリングデー
タから最小２乗法を用いて、（２９）式の未知の項
Ｐ1 ，Ｐ2 を算出する。なお、サンプリングデータは、
事故除去の過渡的な値を避けるため、事故除去から一定
時間後のデータを最低５点、最大３０点用いる。Next, the unknown terms P 1 and P 2 of the equation (29) are calculated from the sampling data of the detailed stability calculation by using the least squares method. The sampling data is
In order to avoid a transient value of accident removal, data at a certain time after the accident removal is used at least 5 points and up to 30 points.
【数１０】 （３０）式より、未知のパラメータＸ（Ｐ1 ，Ｐ2 ）
は、最小２乗法を用いて、以下の式より推定することが
できる。 Ｘ＝（ＡT Ａ）-1ＡT ｂ （３１）(Equation 10) From equation (30), the unknown parameter X (P 1 , P 2 )
Can be estimated from the following equation using the least squares method. X = (A T A) −1 A T b (31)
【００３５】（３１）式より算出した未知の項Ｐ1 ，Ｐ
2 より、ＰPEAK及び不安定平衡点δ u を算出する。The unknown term P calculated from equation (31)1, P
TwoThan PPEAKAnd unstable equilibrium point δ uIs calculated.
【数１１】 運動エネルギーＶk と臨界エネルギーＶc は下記のよう
にして算出する。[Equation 11] The kinetic energy Vk and critical energy Vc are calculated as follows.
【数１２】 (Equation 12)
【００３６】上記のようにして、運動エネルギーＶk と
臨界エネルギーＶc を算出すると、これらを大小比較す
ることにより、安定であるか不安定であるかを判別し、
詳細な安定度判別処理を終了する。 Ｖk ＜Ｖc ：安定 Ｖk ≧Ｖc ：不安定When the kinetic energy V k and the critical energy V c are calculated as described above, they are compared to determine whether they are stable or unstable.
The detailed stability determination processing ends. V k <V c : stable V k ≧ V c : unstable
【００３７】以上で明らかなように、この実施の形態２
によれば、安定度計算における事故除去直後の計算結果
から大まかな安定度判別を実行して不安定なケースをス
クリーニングし、その不安定なケースについて詳細な安
定度判別を実行するように構成したので、すべてのケー
スについて詳細な安定度判別を実行する必要がなくな
る。したがって、上記実施の形態１よりも更に速やかに
送電限界値を求めることができる効果を奏する。As is apparent from the above, the second embodiment
According to, the stability calculation is configured to perform rough stability discrimination from the calculation result immediately after the accident is removed, to screen for unstable cases, and to perform detailed stability discrimination for the unstable cases. Therefore, it is not necessary to perform detailed stability determination for all cases. Therefore, there is an effect that the power transmission limit value can be obtained more quickly than in the first embodiment.
【００３８】実施の形態３．上記実施の形態１，２で
は、安定度判別を実行して送電限界値を求めるものにつ
いて示したが、図６に示すように、さらに、安定度計算
を実行して、その送電限界値の正当性を確認するように
してもよい。Embodiment 3 In the first and second embodiments, the case where the power transmission limit value is obtained by executing the stability determination is described. However, as shown in FIG. 6, the stability calculation is further performed to determine the validity of the power transmission limit value. You may confirm it.
【００３９】具体的には、上記実施の形態１，２と同様
にして、暫定的に送電限界値を算出すると（ステップＳ
Ｔ１９）、その送電限界値で送電する条件の下で、詳細
な安定度計算を実行し（ステップＳＴ２０）、確認計算
を実行する（ステップＳＴ２１）。Specifically, as in the first and second embodiments, when the power transmission limit value is calculated temporarily (step S
T19) Under the conditions for transmitting power at the power transmission limit value, a detailed stability calculation is performed (step ST20), and a confirmation calculation is performed (step ST21).
【００４０】そして、当該条件下での計算結果が安定で
あることを示し、かつ、当該送電限界値を１ステップ増
加して、確認計算をしたとき不安定であることを示す場
合には、その送電限界値が正しいものと認定する（ステ
ップＳＴ２２〜ＳＴ２４）。一方、当該条件下での計算
結果が不安定であることを示す場合、あるいは、当該条
件下での計算結果が安定であることを示し、かつ、当該
送電限界値を１ステップ増加して、確認計算をしたとき
安定であることを示す場合には、当該送電限界値が正し
くないものと認定し、適宜送電量を変化させて正しい送
電限界値を算出する（ステップＳＴ２２〜ＳＴ２４）。
これにより、この実施の形態３によれば、精度の高い送
電限界値を得ることができる効果を奏する。If the result of the calculation under the above conditions indicates that it is stable, and if the power transmission limit value is increased by one step and the result of the confirmation calculation indicates that the result is unstable, the result is indicated. It is determined that the power transmission limit value is correct (steps ST22 to ST24). On the other hand, when the calculation result under the condition indicates that the calculation result is unstable, or when the calculation result under the condition indicates that the calculation result is stable, and the transmission limit value is increased by one step, the confirmation is performed. If the calculation indicates that the power transmission limit is stable, the power transmission limit value is determined to be incorrect, and the power transmission amount is appropriately changed to calculate a correct power transmission limit value (steps ST22 to ST24).
Thus, according to the third embodiment, there is an effect that a highly accurate power transmission limit value can be obtained.
【００４１】[0041]
【発明の効果】以上のように、この発明によれば、安定
度判別の判別結果が安定であることを示す場合には、送
電量を増やして安定度計算と安定度判別の並列実行を継
続する一方、その判別結果が不安定であることを示す場
合には、安定度計算と安定度判別の実行を中止し、不安
定になる直前の送電量を送電限界値と認定するように構
成したので、正確な送電限界値を速やかに求めることが
できる効果がある。As described above, according to the present invention, when the determination result of the stability determination indicates that the stability is stable, the power transmission amount is increased and the parallel execution of the stability calculation and the stability determination is continued. On the other hand, when the determination result indicates that the stability is unstable, the execution of the stability calculation and the stability determination is stopped, and the power transmission amount immediately before becoming unstable is recognized as the power transmission limit value. Therefore, there is an effect that an accurate power transmission limit value can be quickly obtained.
【００４２】この発明によれば、安定度計算における事
故除去直後の計算結果から大まかな安定度判別を実行し
て不安定なケースをスクリーニングし、その不安定なケ
ースについて詳細な安定度判別を実行するように構成し
たので、更に速やかに送電限界値を求めることができる
効果がある。According to the present invention, an unstable case is screened by performing a rough stability determination from the calculation result immediately after the accident removal in the stability calculation, and a detailed stability determination is performed for the unstable case. Therefore, there is an effect that the power transmission limit value can be obtained more quickly.
【００４３】この発明によれば、電力系統の運動エネル
ギーと位置エネルギーを算出し、その運動エネルギーと
位置エネルギーを比較して安定度を判別するように構成
したので、処理の複雑化を招くことなく、正確な安定度
判別を行うことができる効果がある。According to the present invention, the kinetic energy and the potential energy of the electric power system are calculated, and the kinetic energy and the potential energy are compared to determine the stability, so that the processing is not complicated. There is an effect that accurate stability determination can be performed.
【００４４】この発明によれば、送電限界値が認定され
ると、安定度計算を実行して、その送電限界値の正当性
を確認するように構成したので、精度の高い送電限界値
を得ることができる効果がある。According to the present invention, when the power transmission limit value is recognized, the stability calculation is executed and the validity of the power transmission limit value is confirmed, so that a highly accurate power transmission limit value is obtained. There is an effect that can be.
【００４５】この発明によれば、安定度判別の判別結果
が安定であることを示す場合には、送電量を増やして安
定度計算と安定度判別の実行を継続させる一方、その判
別結果が不安定であることを示す場合には、安定度計算
と安定度判別の実行を中止させて、不安定になる直前の
送電量を送電限界値と認定する送電限界値認定処理手順
を設けるように構成したので、正確な送電限界値を速や
かに求めることができる効果がある。According to the present invention, when the determination result of the stability determination indicates that the stability is stable, the power transmission amount is increased to continue the execution of the stability calculation and the stability determination, but the determination result is incorrect. In the case of indicating that the power transmission is stable, the execution of the stability calculation and the stability determination is stopped, and the power transmission limit immediately before the power becomes unstable is recognized as the power transmission limit. Therefore, there is an effect that an accurate power transmission limit value can be quickly obtained.
【００４６】この発明によれば、安定度判別処理手順が
安定度計算における事故除去直後の計算結果から大まか
な安定度判別を実行して不安定なケースをスクリーニン
グし、その不安定なケースについて詳細な安定度判別を
実行するように構成したので、更に速やかに送電限界値
を求めることができる効果がある。According to the present invention, the stability discrimination processing procedure performs a rough stability discrimination from the calculation result immediately after the accident removal in the stability calculation to screen for unstable cases, and details the unstable cases. Since the configuration is such that the stability determination is performed, there is an effect that the power transmission limit value can be more quickly obtained.
【００４７】この発明によれば、安定度判別処理手順が
電力系統の運動エネルギーと位置エネルギーを算出し、
その運動エネルギーと位置エネルギーを比較して安定度
を判別するように構成したので、処理の複雑化を招くこ
となく、正確な安定度判別を行うことができる効果があ
る。According to the present invention, the stability determination processing procedure calculates kinetic energy and potential energy of the power system,
Since the stability is determined by comparing the kinetic energy and the potential energy, there is an effect that accurate stability determination can be performed without complicating the processing.
【００４８】この発明によれば、送電限界値が認定され
ると、安定度計算を実行して、その送電限界値の正当性
を確認する確認処理手順を設けるように構成したので、
精度の高い送電限界値を得ることができる効果がある。According to the present invention, when the power transmission limit value is recognized, the stability calculation is executed, and the confirmation processing procedure for confirming the validity of the power transmission limit value is provided.
There is an effect that a highly accurate power transmission limit value can be obtained.
【図１】 この発明の実施の形態１による送電限界探索
方法を示すフローチャートである。FIG. 1 is a flowchart showing a power transmission limit searching method according to a first embodiment of the present invention.
【図２】 送電限界探索方法を実行するプログラムの構
築例を示す説明図である。FIG. 2 is an explanatory diagram showing a configuration example of a program for executing a power transmission limit search method.
【図３】 想定される事故ケースや潮流断面から明らか
に安定と判別されるケースを効率的に絞り込むスクリー
ニング処理を示すフローチャートである。FIG. 3 is a flowchart showing a screening process for efficiently narrowing down an assumed accident case or a case clearly determined to be stable from a tidal current cross section.
【図４】 スクリーニングの結果、不安定であると判定
されたケースに対して行う詳細な安定度判別処理を示す
フローチャートである。FIG. 4 is a flowchart illustrating a detailed stability determination process performed on a case determined to be unstable as a result of the screening.
【図５】 等価発電機の縮約を説明する説明図である。FIG. 5 is an explanatory diagram illustrating reduction of an equivalent generator.
【図６】 この発明の実施の形態３による送電限界探索
方法を示すフローチャートである。FIG. 6 is a flowchart illustrating a power transmission limit searching method according to a third embodiment of the present invention.
【図７】 従来の送電限界探索方法を示すフローチャー
トである。FIG. 7 is a flowchart showing a conventional power transmission limit searching method.
１ 短絡電流算定部、２ 過負荷判別部、３ 電圧判別
部、４ 過渡安定度判別部。1 Short-circuit current calculation unit, 2 Overload judgment unit, 3 Voltage judgment unit, 4 Transient stability judgment unit.
───────────────────────────────────────────────────── フロントページの続き (72)発明者 坂口 広二 東京都千代田区丸の内二丁目２番３号 三 菱電機株式会社内 (72)発明者 荒木 幸夫 大阪府大阪市北区中之島３丁目３番22号 関西電力株式会社内 Ｆターム(参考） 5G066 AA01 AA03 AD07 AE07 AE09 ──────────────────────────────────────────────────続 き Continuing on the front page (72) Koji Sakaguchi, 2-3-2 Marunouchi, Chiyoda-ku, Tokyo Mitsui Electric Co., Ltd. (72) Yukio Araki 3-3-1 Nakanoshima, Kita-ku, Osaka-shi, Osaka 22 Kansai Electric Power Co., Inc. F-term (reference) 5G066 AA01 AA03 AD07 AE07 AE09
Claims (8)
算の計算途中結果に基づく安定度判別とを並列実行し、
その安定度判別の判別結果が安定であることを示す場合
には、送電量を増やして当該安定度計算と安定度判別の
実行を継続する一方、その判別結果が不安定であること
を示す場合には、当該安定度計算と安定度判別の実行を
中止し、不安定になる直前の送電量を送電限界値と認定
する送電限界探索方法。1. A method for executing a stability calculation of a power system and a stability determination based on an intermediate result of the stability calculation in parallel,
When the determination result of the stability determination indicates that the determination is stable, the power transmission amount is increased to continue the stability calculation and the execution of the stability determination, while the determination result indicates that the determination result is unstable. A power transmission limit search method in which the execution of the stability calculation and the stability determination is stopped, and the power transmission amount immediately before becoming unstable is recognized as a power transmission limit value.
結果から大まかな安定度判別を実行して不安定なケース
をスクリーニングし、その不安定なケースについて詳細
な安定度判別を実行することを特徴とする請求項１記載
の送電限界探索方法。2. An unstable case is screened by performing a rough stability determination from a calculation result immediately after an accident is removed in the stability calculation, and a detailed stability determination is performed on the unstable case. The power transmission limit searching method according to claim 1, wherein
ギーを算出し、その運動エネルギーと位置エネルギーを
比較して安定度を判別することを特徴とする請求項１ま
たは請求項２記載の送電限界探索方法。3. The method according to claim 1, wherein the kinetic energy and the potential energy of the power system are calculated, and the kinetic energy and the potential energy are compared to determine the stability. .
を実行して、その送電限界値の正当性を確認することを
特徴とする請求項１から請求項３のうちのいずれか１項
記載の送電限界探索方法。4. The method according to claim 1, wherein when the power transmission limit value is recognized, a stability calculation is executed to confirm the validity of the power transmission limit value. The power transmission limit search method described in the section.
計算処理手順と、上記安定度計算処理手順と並列に実行
され、その安定度計算の計算途中結果に基づく安定度判
別を実行する安定度判別処理手順と、その安定度判別の
判別結果が安定であることを示す場合には、送電量を増
やして当該安定度計算と安定度判別の実行を継続させる
一方、その判別結果が不安定であることを示す場合に
は、当該安定度計算と安定度判別の実行を中止させて、
不安定になる直前の送電量を送電限界値と認定する送電
限界値認定処理手順とを備えた送電限界探索プログラム
が記録された記録媒体。5. A stability calculation processing procedure for executing a stability calculation of a power system, and a stability calculation step which is executed in parallel with the stability calculation processing procedure and executes a stability determination based on a result of the calculation of the stability calculation. If the stability determination procedure and the stability determination result indicate that the stability is stable, the power transmission amount is increased to continue the stability calculation and the stability determination while the determination result is unstable. If it indicates that, the execution of the stability calculation and the stability determination is stopped,
A recording medium on which a power transmission limit search program including a power transmission limit value recognition processing procedure for recognizing a power transmission amount immediately before becoming unstable as a power transmission limit value is recorded.
ける事故除去直後の計算結果から大まかな安定度判別を
実行して不安定なケースをスクリーニングし、その不安
定なケースについて詳細な安定度判別を実行することを
特徴とする請求項５記載の送電限界探索プログラムが記
録された記録媒体。6. The stability discrimination processing procedure performs a rough stability discrimination from the calculation result immediately after the accident removal in the stability calculation, screens an unstable case, and performs detailed stability analysis on the unstable case. 6. A recording medium on which a power transmission limit search program according to claim 5 is recorded.
エネルギーと位置エネルギーを算出し、その運動エネル
ギーと位置エネルギーを比較して安定度を判別すること
を特徴とする請求項５または請求項６記載の送電限界探
索プログラムが記録された記録媒体。7. The stability determination procedure includes calculating kinetic energy and potential energy of the power system, and comparing the kinetic energy and potential energy to determine the stability. A recording medium on which the power transmission limit search program according to claim 6 is recorded.
を実行して、その送電限界値の正当性を確認する確認処
理手順を設けたことを特徴とする請求項５から請求項７
のうちのいずれか１項記載の送電限界探索プログラムが
記録された記録媒体。8. The method according to claim 5, further comprising the step of performing a stability calculation when the power transmission limit value is recognized, and confirming the validity of the power transmission limit value.
A recording medium in which the power transmission limit search program according to any one of the above is recorded.
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2000227755A JP4112161B2 (en) | 2000-07-27 | 2000-07-27 | Transmission limit search method and recording medium storing transmission limit search program |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2000227755A JP4112161B2 (en) | 2000-07-27 | 2000-07-27 | Transmission limit search method and recording medium storing transmission limit search program |
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| Publication Number | Publication Date |
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| JP2002051469A true JP2002051469A (en) | 2002-02-15 |
| JP4112161B2 JP4112161B2 (en) | 2008-07-02 |
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|---|---|---|---|
| JP2000227755A Expired - Lifetime JP4112161B2 (en) | 2000-07-27 | 2000-07-27 | Transmission limit search method and recording medium storing transmission limit search program |
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2007189840A (en) * | 2006-01-13 | 2007-07-26 | Toshiba Corp | Power system stabilizing apparatus |
| JP2014011933A (en) * | 2012-07-03 | 2014-01-20 | Central Research Institute Of Electric Power Industry | Power system stabilization analyzer, power system stabilization analysis method, and power system stabilization analysis program |
| WO2020095401A1 (en) * | 2018-11-08 | 2020-05-14 | 株式会社日立製作所 | Available power transmission capacity analysis device, available power transmission capacity analysis method, and computer program |
-
2000
- 2000-07-27 JP JP2000227755A patent/JP4112161B2/en not_active Expired - Lifetime
Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| JP2007189840A (en) * | 2006-01-13 | 2007-07-26 | Toshiba Corp | Power system stabilizing apparatus |
| JP2014011933A (en) * | 2012-07-03 | 2014-01-20 | Central Research Institute Of Electric Power Industry | Power system stabilization analyzer, power system stabilization analysis method, and power system stabilization analysis program |
| WO2020095401A1 (en) * | 2018-11-08 | 2020-05-14 | 株式会社日立製作所 | Available power transmission capacity analysis device, available power transmission capacity analysis method, and computer program |
| JPWO2020095401A1 (en) * | 2018-11-08 | 2021-09-02 | 株式会社日立製作所 | Power transmission capacity analyzer, power transmission capacity analysis method and computer program |
Also Published As
| Publication number | Publication date |
|---|---|
| JP4112161B2 (en) | 2008-07-02 |
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