JP2001041403A - Boiler controller - Google Patents
Boiler controllerInfo
- Publication number
- JP2001041403A JP2001041403A JP11217867A JP21786799A JP2001041403A JP 2001041403 A JP2001041403 A JP 2001041403A JP 11217867 A JP11217867 A JP 11217867A JP 21786799 A JP21786799 A JP 21786799A JP 2001041403 A JP2001041403 A JP 2001041403A
- Authority
- JP
- Japan
- Prior art keywords
- boiler
- value
- control
- output
- gain matrix
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Pending
Links
- 239000011159 matrix material Substances 0.000 claims abstract description 25
- 238000011156 evaluation Methods 0.000 claims description 26
- 239000000446 fuel Substances 0.000 claims description 16
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims description 9
- 238000012546 transfer Methods 0.000 claims description 7
- 238000010248 power generation Methods 0.000 claims description 4
- 239000007921 spray Substances 0.000 claims description 4
- 238000002485 combustion reaction Methods 0.000 claims description 3
- 230000006870 function Effects 0.000 description 23
- 238000012937 correction Methods 0.000 description 17
- 239000007789 gas Substances 0.000 description 11
- 238000000034 method Methods 0.000 description 11
- 239000000567 combustion gas Substances 0.000 description 10
- 238000010586 diagram Methods 0.000 description 8
- 238000004364 calculation method Methods 0.000 description 6
- 238000005259 measurement Methods 0.000 description 5
- 230000007423 decrease Effects 0.000 description 4
- 230000010354 integration Effects 0.000 description 3
- 238000004088 simulation Methods 0.000 description 3
- QVGXLLKOCUKJST-UHFFFAOYSA-N atomic oxygen Chemical compound [O] QVGXLLKOCUKJST-UHFFFAOYSA-N 0.000 description 2
- 230000003247 decreasing effect Effects 0.000 description 2
- 238000010438 heat treatment Methods 0.000 description 2
- 239000001301 oxygen Substances 0.000 description 2
- 229910052760 oxygen Inorganic materials 0.000 description 2
- 101100321669 Fagopyrum esculentum FA02 gene Proteins 0.000 description 1
- 101100126682 Homo sapiens KRT79 gene Proteins 0.000 description 1
- 102100023975 Keratin, type II cytoskeletal 79 Human genes 0.000 description 1
- 101000994629 Oryctolagus cuniculus Potassium voltage-gated channel subfamily A member 2 Proteins 0.000 description 1
- 238000009825 accumulation Methods 0.000 description 1
- 238000004458 analytical method Methods 0.000 description 1
- 238000013459 approach Methods 0.000 description 1
- 230000003111 delayed effect Effects 0.000 description 1
- 238000013461 design Methods 0.000 description 1
- 230000006866 deterioration Effects 0.000 description 1
- 238000011161 development Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 230000008571 general function Effects 0.000 description 1
- 239000000203 mixture Substances 0.000 description 1
- 239000008400 supply water Substances 0.000 description 1
Landscapes
- Control Of Steam Boilers And Waste-Gas Boilers (AREA)
- Feedback Control In General (AREA)
Abstract
Description
【0001】[0001]
【発明の属する技術分野】本発明は、発電用の蒸気ター
ビン等に蒸気を供給するボイラの制御装置に関する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a control device for a boiler for supplying steam to a steam turbine or the like for power generation.
【0002】[0002]
【従来の技術】ボイラは発電用蒸気タービン等に蒸気を
供給するための装置である。高圧蒸気タービンを回転さ
せた蒸気を再利用するための過熱器および再熱器を備
え、熱効率を向上させるようにした従来のタービン主導
型のボイラを図により説明する。2. Description of the Related Art A boiler is a device for supplying steam to a power generating steam turbine or the like. A conventional turbine-driven boiler provided with a superheater and a reheater for reusing steam rotated from a high-pressure steam turbine to improve thermal efficiency will be described with reference to the drawings.
【0003】図4はボイラにおける燃焼ガスおよび蒸気
の流れを示す図である。先ず、燃焼ガスの流れについて
説明する。FIG. 4 is a diagram showing the flow of combustion gas and steam in a boiler. First, the flow of the combustion gas will be described.
【0004】Bはボイラで、押込送風機ダンパ3の開度
で決まる流量の空気1が押込送風機2によりバーナ4に
供給され、バーナ4から噴出する燃料を燃焼させる。燃
料が燃焼することにより発生した燃焼ガスは火炉5内を
上昇し、吊下過熱器6、吊下再熱器7を加熱した後、一
部は横置再熱器8および節炭器9を加熱する第1の経路
を、また残りは横置過熱器10および節炭器9を加熱す
る第2の経路をそれぞれ通った後に合流する。そして、
再循環ガスダンパ11の開度で決まる流量の燃焼ガスが
再循環ガスファン12により火炉5に戻され、残りは排
気口13から大気中に排出される。なお、上記第1およ
び第2の経路を通る燃焼ガスの流量は再熱器パラレルダ
ンパ14および過熱器パラレルダンパ15の開度で決定
される。A boiler B is supplied with air 1 at a flow rate determined by the degree of opening of the forced-air blower damper 3 to the burner 4 by the forced-air blower 2, and burns fuel injected from the burner 4. The combustion gas generated by the combustion of the fuel rises in the furnace 5 and heats the suspended superheater 6 and the suspended reheater 7, and then, partly controls the horizontal reheater 8 and the economizer 9. It joins after passing through the first path for heating and the rest through the second path for heating the horizontal superheater 10 and the economizer 9 respectively. And
Combustion gas having a flow rate determined by the degree of opening of the recirculation gas damper 11 is returned to the furnace 5 by the recirculation gas fan 12, and the remainder is discharged into the atmosphere from the exhaust port 13. The flow rate of the combustion gas passing through the first and second paths is determined by the opening degree of the reheater parallel damper 14 and the superheater parallel damper 15.
【0005】次に、蒸気の流れについて説明する。Next, the flow of steam will be described.
【0006】図示しない給水ポンプにより送り出された
水20は節炭器9で暖められ、火炉水壁21の内部で気
水混合物となり、気水分離器22に導かれ、ドレンは分
離されて貯水タンク23に導かれる。一方、蒸気は横置
過熱器10、吊下過熱器6で過熱された後、主蒸気24
として図示しない高圧タービンに供給される。高圧ター
ビンからの排気蒸気25は横置再熱器8、吊下再熱器7
で再熱された後、再熱蒸気26として図示しない中圧タ
ービンに供給される。なお、27はボイラの制御装置
で、各種のポンプおよび弁等を制御する。[0006] Water 20 sent out by a water supply pump (not shown) is heated by a economizer 9 to form a steam-water mixture inside a furnace water wall 21 and is guided to a steam-water separator 22 where the drain is separated and stored in a water storage tank. It is led to 23. On the other hand, the steam is superheated by the horizontal superheater 10 and the suspended superheater 6, and then the main steam 24 is heated.
Is supplied to a high-pressure turbine (not shown). Exhaust steam 25 from the high-pressure turbine is supplied to the horizontal reheater 8 and the suspended reheater 7.
, And supplied to a medium-pressure turbine (not shown) as reheated steam 26. Reference numeral 27 denotes a boiler control device that controls various pumps and valves.
【0007】次に、ボイラの制御手順について説明す
る。Next, a control procedure of the boiler will be described.
【0008】発電機が出力する出力の大きさ(以下、設
定出力Pという。)が決まると、タービンに供給する主
蒸気流量Qの設定値Qp、設定値Qpの主蒸気を生成す
るために必要な給水流量Wの設定値Wp、設定値Qpの
主蒸気を生成するために必要な燃料流量Fの設定値F
p、設定値Fpの燃料を燃焼するために必要な空気流量
Aの設定値Apおよび再循環ガス流量Rの設定値Rp、
また、蒸気を必要な温度にするための上記第1および第
2の経路を通る燃焼ガス流量Gの設定値Gpが決まる。
そこで、制御装置27は上記各流量に対応する物理量、
すなわち、温度、蒸気圧力等の測定値に基づき、それぞ
れの実測値が設定値に等しくなるように関連する各装置
を制御すると共に、発電機の出力が設定出力Pになるよ
うに上記各設定値を補正する。When the magnitude of the output output from the generator (hereinafter referred to as the set output P) is determined, the set value Qp of the main steam flow rate Q to be supplied to the turbine and the necessary value for generating the main steam having the set value Qp are generated. Set value Wp of the supply water flow rate W, set value F of the fuel flow rate F required to generate the main steam having the set value Qp
p, a set value Ap of the air flow rate A required to burn the fuel of the set value Fp, and a set value Rp of the recirculation gas flow rate R,
Further, a set value Gp of the combustion gas flow rate G passing through the first and second paths for setting the steam to a required temperature is determined.
Therefore, the control device 27 calculates a physical quantity corresponding to each of the flow rates,
That is, based on the measured values such as temperature and steam pressure, the related devices are controlled so that the actual measured values become equal to the set values, and the above set values are set so that the output of the generator becomes the set output P. Is corrected.
【0009】図5は従来のボイラの制御手順を示す図
で、ボイラは以下のような手順で制御される。FIG. 5 shows a control procedure of a conventional boiler. The boiler is controlled in the following procedure.
【0010】 タービン主導型のボイラの場合、発電
機出力Jはタービンに供給する主蒸気流量で直ちに決ま
るから、制御装置27は計測した発電機出力Jと設定出
力(発電量指令値)Pとを比較し、これらの差に応じて
タービンに送る主蒸気流量Qを制御するガバナに開度補
正信号Ghを出力する。In the case of a turbine-driven boiler, the generator output J is immediately determined by the flow rate of the main steam supplied to the turbine. Therefore, the control device 27 compares the measured generator output J and the set output (power generation command value) P with each other. Then, the opening correction signal Gh is output to the governor that controls the main steam flow rate Q sent to the turbine according to the difference between the two.
【0011】 給水流量Wは計測した蒸気圧力Wjと
蒸気圧力Wjの設定値Wpとを比較し、その結果を上記
開度補正信号Ghで補正して図示しない給水ポンプに給
水流量補正信号Whを出力する。The feedwater flow rate W is compared with the measured steam pressure Wj and the set value Wp of the steam pressure Wj, and the result is corrected by the opening correction signal Gh, and a feedwater flow correction signal Wh is output to a feed pump (not shown). I do.
【0012】 燃料流量Fは計測した主蒸気温度Tj
と主蒸気温度Tjの設定値Tpとを比較し、その結果を
上記給水流量補正信号Whで補正して図示しない燃料供
給装置に燃料流量補正信号Fhを出力する。The fuel flow rate F is the measured main steam temperature Tj
Is compared with the set value Tp of the main steam temperature Tj, and the result is corrected by the feedwater flow correction signal Wh to output a fuel flow correction signal Fh to a fuel supply device (not shown).
【0013】 空気流量Aは計測した酸素濃度Ojと
酸素濃度Ojの設定値Opとを比較し、その結果を上記
燃料流量補正信号Fhで補正して押込送風機ダンパ3に
空気流量補正信号Ahを出力する。The air flow rate A compares the measured oxygen concentration Oj with the set value Op of the oxygen concentration Oj, corrects the result with the fuel flow rate correction signal Fh, and outputs an air flow rate correction signal Ah to the push-in blower damper 3. I do.
【0014】 最循環ガス流量Rは計測した再熱蒸気
温度Tjpと再熱蒸気温度Tjpの設定値Trpとを比
較し、その結果を上記給水流量補正信号Whで補正して
再循環ガスダンパ11の開度補正信号Rhを出力する。The recirculation gas flow rate R is compared with the measured reheat steam temperature Tjp and a set value Trp of the reheat steam temperature Tjp, and the result is corrected by the feedwater flow rate correction signal Wh to open the recirculation gas damper 11. The degree correction signal Rh is output.
【0015】 燃焼ガス流量Gは計測した横置再熱器
出口蒸気温度Tsjと横置再熱器出口蒸気温度Tsjの
設定値Tspとを比較し、その結果を上記開度補正信号
Rhで補正して再熱器パラレルダンパ14および過熱器
パラレルダンパ15の開度補正信号Dhを出力する。The combustion gas flow rate G is compared between the measured steam temperature Tsj at the outlet of the horizontal reheater and the set value Tsp of the steam temperature Tsj at the outlet of the horizontal reheater, and the result is corrected by the opening correction signal Rh. Then, an opening correction signal Dh of the reheater parallel damper 14 and the superheater parallel damper 15 is output.
【0016】このような制御手順を踏む従来のボイラで
は、例えば、上記ガバナ開度補正信号Ghにより図示し
ないガバナの開度が補正されて主蒸気流量Qが補正され
ると、補正された主蒸気流量Qを供給するために、給水
流量補正信号Whにより給水流量Wが、燃料流量補正信
号Fhにより燃料流量Fが、空気流量補正信号Ahによ
り空気流量Aが、開度補正信号Rhにより再循環ガス流
量Rが、また、開度補正信号Dhにより第1および第2
の経路を通る燃焼ガス流量Gがそれぞれ補正される。こ
の結果、発電機出力Jを設定出力Pに近付けることがで
きた。In the conventional boiler taking such a control procedure, for example, when the governor opening degree is corrected by the governor opening degree correction signal Gh and the main steam flow rate Q is corrected, the corrected main steam flow is corrected. In order to supply the flow rate Q, the feedwater flow rate correction signal Wh determines the feedwater flow rate W, the fuel flow rate correction signal Fh determines the fuel flow rate F, the airflow rate correction signal Ah determines the air flow rate A, and the opening degree correction signal Rh determines the recirculation gas. The flow rate R is also determined by the opening correction signal Dh for the first and second flow rates.
Are corrected respectively. As a result, the generator output J was able to approach the set output P.
【0017】[0017]
【発明が解決しようとする課題】定出力状態のように、
発電機出力Jと設定出力Pとの差が小さい場合は、上記
の制御で問題になることはほとんどない。しかし、発電
機出力Pを変化させる場合、出力が安定するまでに時間
がかかった。図6は、発電機出力Pを100%から50
%まで変化させた時の発電機出力Jの応答を示すもので
ある。実線で示す指令値に対して、発電機出力Jの応答
は点線で示すものとなり、安定するまでに時間を要して
いる。これは、以下の理由によるものである。SUMMARY OF THE INVENTION As in a constant output state,
When the difference between the generator output J and the set output P is small, there is almost no problem with the above control. However, when changing the generator output P, it took time for the output to stabilize. FIG. 6 shows that the generator output P is increased from 100% to 50%.
5 shows the response of the generator output J when the power is changed to%. The response of the generator output J to the command value indicated by the solid line is indicated by the dotted line, and it takes time for the output to become stable. This is for the following reason.
【0018】すなわち、上記従来技術では計測した主蒸
気温度Tjが設定値Tpより高い場合、主蒸気温度Tを
下降させるために燃料流量Fを減少させる。燃料流量F
が減少すると、燃焼ガスの温度が低下し、計測した再熱
蒸気温度Tsjは設定値Tspよりも低くなる。そこ
で、再熱蒸気温度Tsを上げるため、再循環ガスダンパ
11の開度を大きくして再循環ガス量Rを増加させる
と、火炉5の内部ガス温度が低下し、主蒸気温度Tjが
設定値Tpよりも低くなる。そこで、今度は上記と逆の
手順で主蒸気温度Tを上げる操作が行われ、前記とは逆
に計測した主蒸気温度Tjが設定値Tpより高い当初の
状態に戻り、以下、上記の動作が繰り返され、出力が安
定するまでに時間がかかった。また、燃焼ガスの温度変
化に対する蒸気温度の変化が遅れるため、制御が面倒で
あった。That is, in the above prior art, when the measured main steam temperature Tj is higher than the set value Tp, the fuel flow rate F is decreased in order to lower the main steam temperature T. Fuel flow rate F
Decreases, the temperature of the combustion gas decreases, and the measured reheat steam temperature Tsj becomes lower than the set value Tsp. Therefore, when the opening degree of the recirculation gas damper 11 is increased to increase the recirculation gas amount R in order to increase the reheat steam temperature Ts, the internal gas temperature of the furnace 5 decreases, and the main steam temperature Tj decreases to the set value Tp. Lower than. Then, an operation of increasing the main steam temperature T is performed in the reverse order to the above, and the main steam temperature Tj measured reversely returns to the initial state higher than the set value Tp. It was repeated and it took time for the output to stabilize. Further, since the change in the steam temperature with respect to the change in the temperature of the combustion gas is delayed, the control is troublesome.
【0019】発電機出力Pを変化させたる時の発電機出
力Jの応答速度は、ボイラの運転データを蓄積すること
により改善することができる。しかし、ボイラは負荷の
大きさにより動特性が異なるため、データを蓄積するの
に多大な時間を必要とした。The response speed of the generator output J when changing the generator output P can be improved by accumulating the operation data of the boiler. However, since the dynamic characteristics of the boiler differ depending on the load, a large amount of time was required to accumulate data.
【0020】本発明の目的は、上記従来技術における課
題を解決し、運転データの蓄積を必要とせず、運転開始
直後から負荷変動に対する応答が速いボイラの制御装置
を提供するにある。An object of the present invention is to solve the above-mentioned problems in the prior art, and to provide a boiler control device which does not require accumulation of operation data and has a quick response to a load change immediately after the start of operation.
【0021】[0021]
【課題を解決するための手段】上記の目的を達成するた
め、本発明は、給水加熱器から伝熱管を経てタービンに
至る蒸気系統、燃料の燃焼を考慮したガス系統、及びガ
ス側からの伝熱特性を考慮したボイラ動特性モデルとを
有し、このボイラ動特性モデルの出力とボイラ各部の実
測値とに基づいてボイラの運転状態を制御するボイラ制
御装置において、前記ボイラ動特性モデルの出力とボイ
ラ各部の実測値とに基づいて、各伝熱要素出入口蒸気の
温度、圧力、エンタルピの少なくとも1つを含む内部状
態推定値を求める制御手段と、前記内部状態推定値と前
記実測値を入力として予め上記温度偏差、発電機出力偏
差、圧力偏差、スプレ操作量を含む各値に基づく演算式
によって設定された評価関数を最小にするようにボイラ
を制御するための最適操作量を決定する最適操作ゲイン
行列演算手段とを備えた構成とした。In order to achieve the above object, the present invention provides a steam system from a feed water heater through a heat transfer tube to a turbine, a gas system in consideration of fuel combustion, and a transfer from a gas side. A boiler dynamic characteristic model that considers thermal characteristics, and a boiler control device that controls the operation state of the boiler based on the output of the boiler dynamic characteristic model and actual measurement values of each part of the boiler. Control means for obtaining an internal state estimated value including at least one of the temperature, pressure, and enthalpy of each of the heat transfer element inlet and outlet steam based on the measured values of the boiler components, and inputting the internal state estimated value and the measured value For controlling the boiler so as to minimize the evaluation function set in advance by an arithmetic expression based on each value including the temperature deviation, the generator output deviation, the pressure deviation, and the spray operation amount. And a configuration in which an optimum operating gain matrix calculation means for determining a proper operation amount.
【0022】この場合、前記最適操作ゲイン行列は、複
数の制御量からの偏差、制御量に影響を及ぼす任意のパ
ラメータから求めた状態量の推定値及び操作量によって
決定される評価関数を最小にするようにして求められ、
前記評価関数としては例えば二次形式評価関数が使用で
きる。また、前記最適操作ゲイン行列は発電指令に対応
して変化させるとよい。In this case, the optimal operation gain matrix minimizes a deviation from a plurality of control amounts, an estimated value of a state amount obtained from an arbitrary parameter affecting the control amount, and an evaluation function determined by the operation amount. Asked to do
As the evaluation function, for example, a quadratic evaluation function can be used. Further, it is preferable that the optimal operation gain matrix is changed according to a power generation command.
【0023】なお、前記最適操作ゲイン行列を求めるた
めの、複数の制御量からの偏差とは、以下の実施形態で
は、制御量(計測値)51と制御量設定値52との偏差
61を積分補償器54によって積分した積分値62であ
る。また、制御量に影響を及ぼす任意のパラメータから
求めた状態量の推定値とは、ボイラ動特性モデル57を
用いて推定した内部状態推定値63である。なお、この
ときの最適操作量は前記制御ゲイン行列K1,K2の演
算によって得られる操作量m、nを加算して得られる累
積器56からの操作量59である。Note that the deviation from a plurality of control variables for obtaining the optimal operation gain matrix is defined by integrating a deviation 61 between a control variable (measured value) 51 and a control variable set value 52 in the following embodiment. This is an integrated value 62 integrated by the compensator 54. Further, the estimated value of the state quantity obtained from an arbitrary parameter affecting the control amount is the estimated internal state value 63 estimated using the boiler dynamic characteristic model 57. Note that the optimal operation amount at this time is the operation amount 59 from the accumulator 56 obtained by adding the operation amounts m and n obtained by calculating the control gain matrices K1 and K2.
【0024】[0024]
【発明の実施の形態】以下、図面を参照し、本発明の実
施の形態について説明する。Embodiments of the present invention will be described below with reference to the drawings.
【0025】図1は本発明の実施の形態に係る制御系統
図で、図4の各部と同等な各部には同一の符号を付して
説明を省略する。図1において、50は制御装置27の
制御系(演算部)全体を示す。この制御系50は、加算
器53、積分補償器54、計測値側の制御ゲイン行列K
1(55)、加算器56、ボイラ動特性モデル57及び
推定値側の制御ゲイン行列K2(58)からなる。この
制御系は計測値側の制御ゲイン行列K1(55)と制御
側の制御ゲイン行列K2(58)を含む2つの制御系を
備えている。なお、ボイラ動特性モデル57は、横置過
熱器10等の各伝熱要素の出入口蒸気温度、圧力、エン
タルピ等のボイラの内部状態推定値63を求めるための
ものである。FIG. 1 is a control system diagram according to an embodiment of the present invention. The same reference numerals are given to the same components as those in FIG. 4 and the description is omitted. In FIG. 1, reference numeral 50 denotes the entire control system (arithmetic unit) of the control device 27. The control system 50 includes an adder 53, an integral compensator 54, and a control gain matrix K on the measurement value side.
1 (55), an adder 56, a boiler dynamic characteristic model 57, and a control gain matrix K2 (58) on the estimated value side. This control system includes two control systems including a control gain matrix K1 (55) on the measurement value side and a control gain matrix K2 (58) on the control side. The boiler dynamic characteristic model 57 is for obtaining an estimated value 63 of the internal state of the boiler such as the steam temperature, pressure, and enthalpy at the entrance and exit of each heat transfer element such as the horizontal superheater 10.
【0026】ボイラBからの複数の計測値(制御量)5
1と制御量設定値52は加算器53に入力され、偏差が
求められる、加算器53から出力される制御偏差61は
積分補償器54で積分され、その積分値62が計測値側
の制御ゲイン行列K1(55)に入力され、操作量mと
して出力される。A plurality of measurement values (control amounts) 5 from boiler B
1 and the control amount set value 52 are input to an adder 53, and a deviation is obtained. A control deviation 61 output from the adder 53 is integrated by an integration compensator 54, and the integrated value 62 is a control gain on the measured value side. It is input to the matrix K1 (55) and output as the manipulated variable m.
【0027】一方、加算器56から出力されるボイラB
への操作量59は、ボイラ動特性モデル57にも入力さ
れ、ボイラ動特性モデル57を用いて推定した内部状態
推定値63が制御側の制御ゲイン行列K2(58)に入
力され、操作量nとして出力される。操作量59は、実
際には、前記計測値側の制御ゲイン行列K1(55)の
演算値である操作量mと制御側の制御ゲイン行列K2
(58)の演算値である操作量nの加算値である。On the other hand, the boiler B output from the adder 56
Is input to the boiler dynamic characteristic model 57, and the internal state estimation value 63 estimated using the boiler dynamic characteristic model 57 is input to the control gain matrix K2 (58) on the control side, and the operation amount n Is output as The operation amount 59 is actually the operation amount m, which is the operation value of the measured value-side control gain matrix K1 (55), and the control-side control gain matrix K2.
This is an addition value of the operation amount n which is the operation value of (58).
【0028】評価関数としては例えば二次形式評価関数
が採用される。二次形式評価関数を導く手順を図2に示
す。As the evaluation function, for example, a quadratic evaluation function is employed. FIG. 2 shows a procedure for deriving the quadratic form evaluation function.
【0029】制御量θ(t)を目標値r(t)のように
制御したい場合、実際には図2(a)に示すように誤差
がいくらか生じる。そこで、図2(a)の制御が良いか
どうかを客観的に評価するには、例えば、制御量と目標
値との偏差を y(t)=θ(t)−r(t) とすると、図2(a)における斜線部分の面積When it is desired to control the control amount θ (t) like the target value r (t), some errors actually occur as shown in FIG. Therefore, in order to objectively evaluate whether the control of FIG. 2A is good, for example, if the deviation between the control amount and the target value is y (t) = θ (t) −r (t), The area of the shaded area in FIG.
【数1】 が最小になればよい。ここで、(1)式で示した式は評
価関数の一例である。(Equation 1) Should be minimized. Here, the expression shown in Expression (1) is an example of the evaluation function.
【0030】しかし、図2(b)に示すように好ましく
ない制御を行った場合でも、+−打ち消しあって前記評
価関数Jが最小になる場合がある。However, even when undesired control is performed as shown in FIG. 2B, there is a case where the evaluation function J is minimized due to the cancellation of the positive and negative.
【0031】そこで、これを防ぐため、(1)式のy
(t)を2乗して、以下の(2)式Therefore, in order to prevent this, y in Expression (1) is used.
(T) is squared to obtain the following equation (2)
【数2】 のような形式に評価関数を設定する。さらに、複数の制
御量を制御するためy(t)を下記の(3)式のように
ベクトル化する。(Equation 2) Set the evaluation function to a format like Further, in order to control a plurality of control amounts, y (t) is vectorized as in the following equation (3).
【0032】[0032]
【数3】 そして、この(3)式を二次形式評価関数と呼んでい
る。後述のように、この評価関数である(3)式におけ
るQ、y(t)の各成分の重みは別途指定する必要あ
る。例えば全ての制御量の重みを同じにするなら下記の
(4)式に示すような単位行列となる。(Equation 3) This equation (3) is called a quadratic evaluation function. As will be described later, it is necessary to separately specify the weight of each component of Q and y (t) in the expression (3) which is the evaluation function. For example, if the weights of all the control amounts are the same, a unit matrix as shown in the following equation (4) is obtained.
【0033】[0033]
【数4】 さらに、操作変数(入力)についても評価関数に組み込
むと次式となり、最適レギュレータ理論を適用した場合
の一般的な評価関数の形となる。(Equation 4) Furthermore, when the manipulated variables (inputs) are incorporated in the evaluation function, the following equation is obtained, and the general function is obtained when the optimal regulator theory is applied.
【0034】[0034]
【数5】 なお、この種の二次形式評価関数としては例えば特許第
2521722号公報に開示されたものが知られてい
る。(Equation 5) As this kind of quadratic evaluation function, for example, a function disclosed in Japanese Patent No. 2521722 is known.
【0035】本発明では、従来蒸気制御系を構成する比
例・積分・微分要素の各パラメータの強調を図る代わり
に評価関数の重み調整を図るようにしている。重みの調
整としては、ある程度試行錯誤的にならざるをえない
が、例えば以下のようにして調整できる。In the present invention, the weight of the evaluation function is adjusted instead of emphasizing the parameters of the proportional, integral and differential elements constituting the conventional steam control system. The adjustment of the weight must be performed by trial and error to some extent, but can be adjusted as follows, for example.
【0036】すなわち、動特性モデルが制御で用いられ
る一般的な線形モデルである以下に示す(6)式、評価
関数が前記(5)式であるときを例によって説明する。That is, a case where the dynamic characteristic model is a general linear model used for control and the following equation (6) and the evaluation function is the above equation (5) will be described by way of example.
【0037】[0037]
【数6】 ここで、(6)式におけるxは状態変数、uは操作量
(入力)、yは制御量(出力)、A,B,Cは係数行列
である。(Equation 6) Here, in Expression (6), x is a state variable, u is an operation amount (input), y is a control amount (output), and A, B, and C are coefficient matrices.
【0038】このようなモデルにおいて、制御量が主蒸
気温度、主蒸気圧力、出力(MW)の3要素、操作量が
燃料流量、給水流量、ガバナ開度の3要素の計6要素で
動特性モデルが表されているとする。その場合、(5)
式のQ、Rは次の(7)式で表される。In such a model, the control amount is three elements of the main steam temperature, the main steam pressure, and the output (MW), and the operation amount is three elements of the fuel flow rate, the feedwater flow rate, and the governor opening degree, and the dynamic characteristics are six elements in total. Suppose the model is represented. In that case, (5)
Q and R in the equation are represented by the following equation (7).
【0039】[0039]
【数7】 ただし、この(7)式では、簡単のため対角要素以外は
「0」としている。(Equation 7) However, in equation (7), for simplicity, elements other than the diagonal elements are set to “0”.
【0040】(7)式におけるq11,q22,q3
3,r11,r22,r33はそれぞれ主蒸気温度、主
蒸気圧力、出力(MW)、燃料流量、給水流量、ガバナ
開度に対応する。全ての制御量、操作量について同じ重
みとするならば、(7)式は以下の(8)式のようにな
る。Q11, q22, q3 in equation (7)
3, r11, r22, and r33 correspond to the main steam temperature, the main steam pressure, the output (MW), the fuel flow rate, the feedwater flow rate, and the governor opening, respectively. If the same weight is used for all control amounts and operation amounts, Expression (7) becomes Expression (8) below.
【0041】[0041]
【数8】 ここで、例えば最適レギュレータ理論を適用すれば、
(8)式の重みを持ち、評価関数(5)式を最小にする
ゲイン行列K1,K2を求めることができる。得られた
K1,K2を制御ゲインとしてシミュレーションを行
い、結果が満足のいくものであれば、K1,K2を採用
することができる。しかし、満足のいくものでなければ
重みを調整する必要がある。例えばシミュレーション結
果で主蒸気温度の変動が激しく、給水流量については余
裕があったとすると、言い換えれば、もっと流量を増や
すことができるにもかかわらず、あまり流量を増加させ
なかったとすると、例えば(9)式のように主蒸気温度
の重みを大きく、給水流量の重みを小さくする。(Equation 8) Here, for example, if the optimal regulator theory is applied,
The gain matrices K1 and K2 having the weight of the expression (8) and minimizing the evaluation function (5) can be obtained. Simulation is performed using the obtained K1 and K2 as control gains, and if the result is satisfactory, K1 and K2 can be adopted. However, if you are not satisfied, you need to adjust the weights. For example, if the simulation results show that the main steam temperature fluctuates greatly and there is a margin for the feedwater flow rate, in other words, if the flow rate can be increased even though the flow rate is not increased much, for example, (9) As shown in the equation, the weight of the main steam temperature is increased and the weight of the feedwater flow rate is decreased.
【0042】[0042]
【数9】 その重みを変化させる大きさは、再びシミュレーション
を行いながら、試行錯誤的に決めることになる。この重
みに関しては試行錯誤的な冗長な計算が必要となるが、
多変数制御系を設計する上で一般的な問題であるから、
ボイラ特有の知識を必要としない。そのため、例えば既
に開発されている解析方法を利用することもできる。し
たがって、従来の制御系設計で行われるPID調整のよ
うに、熟練者の経験と勘を必要とせず、計算機の自動計
算により計算するので、結果的に開発効率が向上するこ
とになる。(Equation 9) The magnitude by which the weight is changed is determined by trial and error while performing the simulation again. For this weight, trial and error redundant calculation is required,
Since it is a general problem in designing a multivariable control system,
No special boiler knowledge is required. Therefore, for example, an analysis method that has already been developed can be used. Therefore, unlike the PID adjustment performed in the conventional control system design, the calculation is performed by the automatic calculation of the computer without requiring the experience and intuition of a skilled person, and as a result, the development efficiency is improved.
【0043】前述のように制御ゲイン行列K1,K2は
最適レギュレータ理論を適用すれば求めることが可能で
ある。ただし、(6)式で表されるボイラの動特性モデ
ルの係数行列A,B,Cは非線形であり、異なる状態で
はA,B,Cも異なる。したがってQ,RおよびA,
B,Cから求められる制御ゲイン行列K1,K2は、異
なる状態では作り直す必要がある。そのため、前記制御
ゲイン行列K1,K2は実際には状態に対応して変化さ
せる。この変化は、例えば予め100%負荷で定常状態
のときに最適なK1100、K2100を作成してお
き、同様に90%、80%、...0%のときのK1
90、K290、K180、K280、...K10、
K20を作成しておく。そして、負荷95%以上のとき
は制御ゲインとしてK1100、K2100を用い、負
荷が85%から95%のときはK190、K290に切
り換える。As described above, the control gain matrices K1 and K2 can be obtained by applying the optimal regulator theory. However, the coefficient matrices A, B, and C of the dynamic characteristic model of the boiler represented by the equation (6) are nonlinear, and A, B, and C are different in different states. Therefore Q, R and A,
The control gain matrices K1 and K2 obtained from B and C need to be recreated in different states. Therefore, the control gain matrices K1 and K2 are actually changed according to the state. This change can be made, for example, by creating optimal K1 100 and K2 100 in advance in a steady state at a load of 100%, and similarly in 90%, 80%,. . . K1 at 0%
90 , K2 90 , K1 80 , K2 80 ,. . . K1 0,
You create a K2 0. When the load is 95% or more, K1 100 and K2 100 are used as control gains, and when the load is 85% to 95%, K1 90 and K2 90 are switched.
【0044】この方法によれば、前もって制御ゲイン行
列K1、K2を作成しておくので、運用時の計算量は低
減されるが、厳密に言えば、負荷が例えば90%でも定
常時と変動時とでは必ずしも状態が一致するとは限らな
いので、K190、K290が最適な制御ゲインである
とは限らない。しかし、この方法では、切り換えること
によって切り換えないよりもより好ましい制御が可能と
なる。According to this method, since the control gain matrices K1 and K2 are prepared in advance, the amount of calculation during operation is reduced. Since the states do not always coincide with each other, K1 90 and K2 90 are not necessarily optimal control gains. However, in this method, more preferable control can be performed by switching than by not switching.
【0045】また、他の方法として、その時点における
状態に応じて最適な制御ゲインK1、K2を逐次計算
し、前記ゲインK1、K2を逐次切り換えながら制御す
るという方法もある。しかし、この方法では、制御ゲイ
ンを毎回計算するために多大な計算量が必要となる。As another method, there is a method in which the optimum control gains K1 and K2 are sequentially calculated according to the state at that time, and control is performed while sequentially switching the gains K1 and K2. However, this method requires a large amount of calculation to calculate the control gain every time.
【0046】なお、通常の最適レギュレータ理論では、
前記(5)式のように制御量y(積分値62に対応)と
操作量u(操作量59に対応)を最適にすることを目的
としているが、この実施形態では、さらに状態量(内部
状態推定値63に対応)をも最適にするようにしてい
る。Incidentally, in the usual optimal regulator theory,
Although the objective is to optimize the control amount y (corresponding to the integral value 62) and the operation amount u (corresponding to the operation amount 59) as in the above equation (5), in this embodiment, the state quantity (internal (Corresponding to the state estimation value 63) is also optimized.
【0047】また、評価関数としては、ここでは二次形
式評価関数を採用した例について説明しているが、他の
評価関数を採用することができることは言うまでもな
い。Although an example in which a quadratic form evaluation function is adopted as the evaluation function is described here, it goes without saying that another evaluation function can be adopted.
【0048】次に、本実施形態の動作を説明する。Next, the operation of this embodiment will be described.
【0049】発電機出力Pが一定の場合、発電機出力J
および、ボイラ各部の温度、圧力、スプレ水量等の設定
値52と計測値51とを比較器53で比較し、その差を
積分器54で積分する。そして、積分した結果とこの時
の発電機出力Pに対応する制御ゲイン行列K1(55)
とから操作量mを演算する。一方、操作量59をボイラ
動特性モデル57に入力することにより出力される内部
状態推定値63とこの時の発電機出力Pに対応する制御
ゲイン行列K2(58)とから操作量nを演算する。そ
して、操作量mと操作量nとを加算器56で加算して最
適操作量59とする。When the generator output P is constant, the generator output J
Further, a set value 52 such as a temperature, a pressure, and a spray water amount of each part of the boiler is compared with a measured value 51 by a comparator 53, and the difference is integrated by an integrator 54. Then, a control gain matrix K1 (55) corresponding to the integration result and the generator output P at this time is obtained.
The operation amount m is calculated from On the other hand, the operation amount n is calculated from the internal state estimation value 63 output by inputting the operation amount 59 to the boiler dynamic characteristic model 57 and the control gain matrix K2 (58) corresponding to the generator output P at this time. . Then, the operation amount m and the operation amount n are added by the adder 56 to obtain an optimum operation amount 59.
【0050】また、発電機出力Pを変化させる場合は、
発電機出力Pが変化する毎に、その時の発電機出力Pに
対応する制御ゲイン行列K1、K2を使用する。When changing the generator output P,
Each time the generator output P changes, the control gain matrices K1, K2 corresponding to the generator output P at that time are used.
【0051】図3は、発電機出力Pを100%から50
%まで変化させた時の発電機出力Jの応答特性を示すも
のである。実線で示す指令値に対して、発電機出力Jの
応答は点線で示すものとなり、発電機出力Pが50%に
なった後、出力が振動することがない。FIG. 3 shows that the generator output P is increased from 100% to 50%.
5 shows the response characteristics of the generator output J when the output is changed to%. The response of the generator output J to the command value indicated by the solid line is indicated by the dotted line, and the output does not vibrate after the generator output P reaches 50%.
【0052】本実施の形態では、総ての制御量および操
作量のそれぞれの微小な変化が他の全ての制御量および
操作量に与える影響を定量化し、制御に利用する多変数
制御系により制御するようにしたから、各制御量および
操作量間に干渉がなく、負荷変化時の制御量の応答を早
めることができる。しかも、通常は線形モデルを対象と
する多変数制御系の制御ゲインK1、K2を発電機出力
Pの出力毎に予め設けておき、最適の制御ゲインにより
制御するから、実質的に線形の制御を行うことができ、
操作量が大き過ぎて過大なオーバーシュートや振動を起
こしたり、逆に操作量が小さ過ぎて追従性が悪化したり
することがなく、発電機出力Jを速やかに発電機出力P
に合わせることができる。In the present embodiment, the effect of each minute change in all control amounts and operation amounts on all other control amounts and operation amounts is quantified and controlled by a multivariable control system used for control. As a result, there is no interference between the control amounts and the operation amounts, and the response of the control amount when the load changes can be accelerated. Moreover, normally, the control gains K1 and K2 of the multivariable control system for the linear model are provided in advance for each output of the generator output P, and the control is performed using the optimum control gain. Can do
The generator output J can be quickly changed to the generator output P without excessively large overshoot or vibration due to too large an operation amount, or conversely, deterioration in followability due to too small an operation amount.
Can be adjusted to
【0053】[0053]
【発明の効果】以上説明したように、本発明によれば、
前記ボイラ動特性モデルの出力とボイラ各部の実測値と
に基づいて、各伝熱要素出入口蒸気の温度、圧力、エン
タルピの少なくとも1つを含む内部状態推定値を求める
制御手段と、内部状態推定値と実測値を入力として予め
温度偏差、発電機出力偏差、圧力偏差、スプレ操作量を
含む各値に基づく演算式によって設定された評価関数を
最小にするようにボイラを制御するための最適操作量を
決定する最適操作ゲイン行列演算手段とを備えたので、
多変数制御により各制御要素が干渉することがなく、制
御性に優れたものとなる。また、内部モデルによりボイ
ラの応答の遅さにも対応できるので、高速な負荷変化に
も対応でき、ボイラの非線形性に応じた制御が可能とな
る。As described above, according to the present invention,
Control means for obtaining an internal state estimated value including at least one of the temperature, pressure and enthalpy of each heat transfer element inlet / outlet steam based on the output of the boiler dynamic characteristic model and the actually measured value of each part of the boiler; Optimum operation amount for controlling the boiler so as to minimize the evaluation function set by an arithmetic expression based on each value including the temperature deviation, generator output deviation, pressure deviation, and spray operation amount with the actual measurement value as input And an optimal operation gain matrix operation means for determining
By the multivariable control, each control element does not interfere, and the controllability is excellent. Further, since the internal model can cope with the slow response of the boiler, it is possible to cope with a high-speed load change and control according to the non-linearity of the boiler becomes possible.
【図1】本発明の実施の形態に係る制御系統図である。FIG. 1 is a control system diagram according to an embodiment of the present invention.
【図2】二次形式評価関数を導く手順を示す図である。FIG. 2 is a diagram showing a procedure for deriving a quadratic evaluation function.
【図3】本発明の実施の形態に係る発電機出力の応答を
示す図である。FIG. 3 is a diagram showing a response of a generator output according to the embodiment of the present invention.
【図4】ボイラにおける燃焼ガスおよび蒸気の流れを示
す図である。FIG. 4 is a diagram showing flows of combustion gas and steam in a boiler.
【図5】従来の制御系統図である。FIG. 5 is a conventional control system diagram.
【図6】従来の発電機出力の応答を示す図である。FIG. 6 is a diagram showing a response of a conventional generator output.
50 制御系(演算部)全体 51 計測値(制御量) 52 制御量設定値 53,56 加算器 54 積分補償器 55 計測値側の制御ゲイン行列K1 57 ボイラ動特性モデル 58 制御側の制御ゲイン行列K2 59 最終操作量 61 制御偏差 62 積分値 63 内部状態推定値 B ボイラ m、n 操作量 Reference Signs List 50 Overall control system (arithmetic unit) 51 Measured value (control amount) 52 Control value set value 53, 56 Adder 54 Integration compensator 55 Control gain matrix K1 on measured value side 57 Boiler dynamic characteristic model 58 Control gain matrix on control side K2 59 Final manipulated variable 61 Control deviation 62 Integral value 63 Internal state estimated value B Boiler m, n manipulated variable
フロントページの続き Fターム(参考) 3L021 AA05 CA06 DA04 DA05 DA38 EA04 FA02 FA12 5H004 GA16 GA30 GB04 HA01 HA03 HA14 HA16 HB01 HB02 HB03 HB14 JA23 JB08 KA71 KA72 KB05 KB38 KB39 KC17 KC22 KC27 KC32 KC39 KC56 LA12 LA15 LA18 9A001 BB06 GG03 HH32 HH34 KK55Continued on the front page F-term (reference) 3L021 AA05 CA06 DA04 DA05 DA38 EA04 FA02 FA12 5H004 GA16 GA30 GB04 HA01 HA03 HA14 HA16 HB01 HB02 HB03 HB14 JA23 JB08 KA71 KA72 KB05 KB38 KB39 KC17 KC22 KC27 KC32 KC13 LA18 HH34 KK55
Claims (4)
至る蒸気系統、燃料の燃焼を考慮したガス系統、及びガ
ス側からの伝熱特性を考慮したボイラ動特性モデルとを
有し、このボイラ動特性モデルの出力とボイラ各部の実
測値とに基づいてボイラの運転状態を制御するボイラ制
御装置において、 前記ボイラ動特性モデルの出力とボイラ各部の実測値と
に基づいて、各伝熱要素出入口蒸気の温度、圧力、エン
タルピの少なくとも1つを含む内部状態推定値を求める
制御手段と、 前記内部状態推定値と前記実測値を入力として予め上記
温度偏差、発電機出力偏差、圧力偏差、スプレ操作量を
含む各値に基づく演算式によって設定された評価関数を
最小にするようにボイラを制御するための最適操作量を
決定する最適操作ゲイン行列演算手段と、を備えたこと
を特徴とするボイラ制御装置。A boiler dynamic characteristic model which takes into account a steam system from a feed water heater to a turbine through a heat transfer tube to a turbine, a gas system taking fuel combustion into consideration, and a heat transfer characteristic from the gas side. A boiler control device that controls a boiler operating state based on an output of a dynamic characteristic model and an actually measured value of each part of the boiler. Control means for obtaining an internal state estimated value including at least one of steam temperature, pressure and enthalpy; and a temperature operation, a generator output error, a pressure error, and a spray operation in advance by using the internal state estimated value and the actually measured value as inputs. Optimal operation gain matrix operation means for determining an optimal operation amount for controlling the boiler so as to minimize the evaluation function set by the operation expression based on each value including the amount, Boiler control device characterized by comprising.
量からの偏差、制御量に影響を及ぼす任意のパラメータ
から求めた状態量の推定値及び操作量によって決定され
る評価関数を最小にするようにして求めたことを特徴と
する請求項1記載のボイラ制御装置。2. The optimal operation gain matrix minimizes a deviation from a plurality of control amounts, an estimated value of a state amount obtained from an arbitrary parameter affecting the control amount, and an evaluation function determined by the operation amount. The boiler control device according to claim 1, wherein the boiler control device is obtained as described above.
ことを特徴とする請求項1または2記載ボイラの制御装
置。3. The control device for a boiler according to claim 1, wherein the evaluation function is a quadratic form evaluation function.
応して変化させることを特徴とする請求項1または2記
載のボイラ制御装置。4. The boiler control device according to claim 1, wherein the optimum operation gain matrix is changed according to a power generation command.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP11217867A JP2001041403A (en) | 1999-07-30 | 1999-07-30 | Boiler controller |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP11217867A JP2001041403A (en) | 1999-07-30 | 1999-07-30 | Boiler controller |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| JP2001041403A true JP2001041403A (en) | 2001-02-13 |
Family
ID=16711023
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP11217867A Pending JP2001041403A (en) | 1999-07-30 | 1999-07-30 | Boiler controller |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JP2001041403A (en) |
Cited By (9)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102374519A (en) * | 2010-08-16 | 2012-03-14 | 爱默生过程管理电力和水解决方案公司 | Dynamic tuning of dynamic matrix control of steam temperature |
| CN102607053A (en) * | 2012-02-29 | 2012-07-25 | 东南大学 | Intermittent control method for eliminating static deviation of main steam pressure of fossil fuel fired power unit |
| CN103216826A (en) * | 2013-04-02 | 2013-07-24 | 国家电网公司 | Main steam pressure self-adaptive predictor of generator set of circulating fluidized bed boiler |
| JP2013155898A (en) * | 2012-01-27 | 2013-08-15 | Nippon Steel & Sumitomo Metal Corp | Steam pressure control method |
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| WO2021140900A1 (en) * | 2020-01-10 | 2021-07-15 | 三菱パワー株式会社 | Boiler operation simulator, boiler operation assistance device, boiler operation control device, boiler operation simulation method, boiler operation simulation program, and recording medium with boiler operation simulation program recorded on same |
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-
1999
- 1999-07-30 JP JP11217867A patent/JP2001041403A/en active Pending
Cited By (13)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102374519A (en) * | 2010-08-16 | 2012-03-14 | 爱默生过程管理电力和水解决方案公司 | Dynamic tuning of dynamic matrix control of steam temperature |
| JP2013155898A (en) * | 2012-01-27 | 2013-08-15 | Nippon Steel & Sumitomo Metal Corp | Steam pressure control method |
| JP2013164195A (en) * | 2012-02-10 | 2013-08-22 | Nippon Steel & Sumitomo Metal Corp | Method for controlling steam pressure |
| CN102607053B (en) * | 2012-02-29 | 2014-07-09 | 东南大学 | Intermittent control method for eliminating static deviation of main steam pressure of fossil fuel fired power unit |
| CN102607053A (en) * | 2012-02-29 | 2012-07-25 | 东南大学 | Intermittent control method for eliminating static deviation of main steam pressure of fossil fuel fired power unit |
| JP2013181701A (en) * | 2012-03-01 | 2013-09-12 | Nippon Steel & Sumitomo Metal Corp | Steam pressure control method |
| CN103216826A (en) * | 2013-04-02 | 2013-07-24 | 国家电网公司 | Main steam pressure self-adaptive predictor of generator set of circulating fluidized bed boiler |
| WO2017094150A1 (en) * | 2015-12-02 | 2017-06-08 | 日立造船株式会社 | Steam flow rate control method for boiler, and incinerator system |
| WO2021140900A1 (en) * | 2020-01-10 | 2021-07-15 | 三菱パワー株式会社 | Boiler operation simulator, boiler operation assistance device, boiler operation control device, boiler operation simulation method, boiler operation simulation program, and recording medium with boiler operation simulation program recorded on same |
| JP2021110507A (en) * | 2020-01-10 | 2021-08-02 | 三菱パワー株式会社 | Boiler driving simulator, boiler driving support device, boiler driving control device, boiler driving simulation method, boiler driving simulation program, and recording medium recording boiler driving simulation program |
| JP7426240B2 (en) | 2020-01-10 | 2024-02-01 | 三菱重工業株式会社 | Boiler operation simulator, boiler operation support device, boiler operation control device, boiler operation simulation method, boiler operation simulation program, and recording medium recording the boiler operation simulation program |
| JP2022144706A (en) * | 2021-03-19 | 2022-10-03 | 三菱重工業株式会社 | Boiler control system, power generation plant, and boiler control method |
| JP7592524B2 (en) | 2021-03-19 | 2024-12-02 | 三菱重工業株式会社 | Boiler control system, power plant, and boiler control method |
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