CN110224418B - Distributed energy storage power station monitoring system - Google Patents
Distributed energy storage power station monitoring system Download PDFInfo
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- CN110224418B CN110224418B CN201910529510.0A CN201910529510A CN110224418B CN 110224418 B CN110224418 B CN 110224418B CN 201910529510 A CN201910529510 A CN 201910529510A CN 110224418 B CN110224418 B CN 110224418B
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- 238000004146 energy storage Methods 0.000 title claims abstract description 28
- 238000012544 monitoring process Methods 0.000 title claims abstract description 12
- 230000005611 electricity Effects 0.000 claims abstract description 58
- 238000010248 power generation Methods 0.000 claims abstract description 39
- XLYOFNOQVPJJNP-UHFFFAOYSA-N water Substances O XLYOFNOQVPJJNP-UHFFFAOYSA-N 0.000 claims description 215
- 230000006870 function Effects 0.000 claims description 42
- 238000005086 pumping Methods 0.000 claims description 39
- 238000005070 sampling Methods 0.000 claims description 27
- 238000012546 transfer Methods 0.000 claims description 27
- 238000010586 diagram Methods 0.000 claims description 16
- 238000000034 method Methods 0.000 claims description 12
- 230000002159 abnormal effect Effects 0.000 claims description 11
- 210000001503 joint Anatomy 0.000 claims description 10
- 238000001514 detection method Methods 0.000 claims description 8
- 230000003750 conditioning effect Effects 0.000 claims description 7
- 230000005856 abnormality Effects 0.000 claims description 6
- 230000014509 gene expression Effects 0.000 claims description 6
- 230000007423 decrease Effects 0.000 claims description 3
- 238000007599 discharging Methods 0.000 claims description 3
- 230000008569 process Effects 0.000 claims description 3
- 238000006467 substitution reaction Methods 0.000 claims description 3
- 238000004800 variational method Methods 0.000 claims description 3
- 230000010355 oscillation Effects 0.000 description 16
- 230000001276 controlling effect Effects 0.000 description 13
- 230000001105 regulatory effect Effects 0.000 description 13
- 230000008030 elimination Effects 0.000 description 8
- 238000003379 elimination reaction Methods 0.000 description 8
- 150000001875 compounds Chemical class 0.000 description 7
- XUIMIQQOPSSXEZ-UHFFFAOYSA-N Silicon Chemical compound [Si] XUIMIQQOPSSXEZ-UHFFFAOYSA-N 0.000 description 6
- 239000013049 sediment Substances 0.000 description 6
- 229910052710 silicon Inorganic materials 0.000 description 6
- 239000010703 silicon Substances 0.000 description 6
- 230000009471 action Effects 0.000 description 5
- 239000003990 capacitor Substances 0.000 description 5
- 230000008859 change Effects 0.000 description 5
- 230000009467 reduction Effects 0.000 description 5
- 230000000694 effects Effects 0.000 description 4
- 238000007789 sealing Methods 0.000 description 3
- 230000005484 gravity Effects 0.000 description 2
- 238000012423 maintenance Methods 0.000 description 2
- 238000004064 recycling Methods 0.000 description 2
- 230000003014 reinforcing effect Effects 0.000 description 2
- 239000002131 composite material Substances 0.000 description 1
- 238000010276 construction Methods 0.000 description 1
- 230000002706 hydrostatic effect Effects 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
- 230000004048 modification Effects 0.000 description 1
- 238000003825 pressing Methods 0.000 description 1
- 230000002035 prolonged effect Effects 0.000 description 1
- 238000005096 rolling process Methods 0.000 description 1
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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
- H02J3/28—Arrangements for balancing of the load in a network by storage of energy
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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
- H02J3/28—Arrangements for balancing of the load in a network by storage of energy
- H02J3/32—Arrangements for balancing of the load in a network by storage of energy using batteries with converting means
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Abstract
The invention discloses a distributed energy storage power station monitoring system. The power generation and power supply device belongs to the technical field of power generation and power supply, a part of electricity generated by a pumped storage power station is stored on an energy storage battery pack, and the power storage quantity is used for controlling the power generation efficiency, so that the power supply stability of the pumped storage power station is good. The system comprises a memory, a power supply network, a plurality of power utilization units connected to the power supply network, a plurality of pumped storage power stations which are arranged at different positions and are respectively provided with a controller, and a power storage quantity control power generation efficiency strategy module; each pumped storage power station independently transmits electricity generated by the corresponding pumped storage power station to a power supply network through a grid-connected device. The electricity storage quantity control power generation efficiency strategy module and the memory are respectively connected with the controller.
Description
Technical Field
The invention relates to the technical field of power generation and power supply, in particular to a distributed energy storage power station monitoring system.
Background
At present, the electricity generated by the pumped storage power station is generally directly transmitted to a power supply network, and no electricity is used for controlling the power generation efficiency, so that the power supply stability of the pumped storage power station is poor.
Disclosure of Invention
The invention provides a distributed energy storage power station monitoring system which has good reliability and is used for storing part of electricity generated by a pumped storage power station on an energy storage battery pack and using the stored electricity to control the power generation efficiency, so that the power supply stability of the pumped storage power station is good.
The technical problems are solved by the following technical proposal:
the distributed energy storage power station monitoring system comprises a power supply network, a plurality of power utilization units connected to the power supply network and a plurality of pumped storage power stations arranged at different positions; the pumped storage power station comprises a reservoir, a water turbine and a pipeline, wherein two ends of the pipeline are respectively connected to a water outlet of the reservoir and a water inlet of the water turbine in a butt joint mode, and can guide water of the reservoir to the water turbine; the pumped storage power station is also respectively provided with a power storage quantity control power generation efficiency strategy module, a memory, a grid-connected device and a controller; the grid-connected device comprises a first transformer, a first voltage sampling circuit, a switch K1, a charger, an energy storage battery pack, a switch K2, an inverter, a filter, a second transformer, a second voltage sampling circuit, a switch K3 and a third voltage sampling circuit which are respectively connected with the controller; the input end of the first transformer and the input end of the charger are connected to the power output end of the pumped storage power station; the output end of the first transformer and the acquisition end of the first voltage sampling circuit are both connected to one end of a switch K1, and the other end of the switch K1 is connected to a power supply network; the charging end of the energy storage battery pack is connected with the output end of the charger, two ends of the switch K3 are respectively connected with the discharging end of the energy storage battery pack and the input end of the inverter, the output end of the inverter is connected with the input end of the filter, the output end of the filter is connected with the input end of the second transformer, the output end of the second transformer and the sampling end of the second voltage sampling circuit are both connected with one end of the switch K2, and the other end of the switch K2 is connected with the power supply network; the sampling end of the third voltage sampling circuit is connected to the power supply network; the electricity storage quantity control power generation efficiency strategy module and the memory are respectively connected with the controller.
The reliability is good, a part of electricity generated by the pumped storage power station is stored on the energy storage battery pack, and the stored electricity is used for controlling the power generation efficiency, so that the power supply stability of the pumped storage power station is good.
Preferably, the pumped storage power station further comprises a lower water tank, a transfer tank, a lower water suction pipe which is provided with a lower water suction pump and can pump water of the lower water tank into the transfer tank, and an upper water suction pipe which is provided with an upper water suction pump and can pump water of the transfer tank into a reservoir; the transfer pool is arranged between the reservoir and the lower pool; a reservoir water level sensor capable of detecting the water level of the reservoir is arranged in the reservoir, and a transfer pool water level sensor capable of detecting the water level of the transfer pool is arranged in the transfer pool; the upper and lower pipe orifices of the lower water pumping pipe are respectively arranged on the pool opening of the transfer pool and in the lower pool, and the upper and lower pipe orifices of the upper water pumping pipe are respectively arranged on the pool opening of the reservoir and in the transfer pool; the reservoir water level sensor, the transfer pool water level sensor, the control end of the upper water suction pump and the control end of the lower water suction pump are respectively connected with the controller. The water exiting the turbine is directed into the lower basin through a drain.
After the upper water suction pump and the lower water suction pump are started, water in the lower water tank can be pumped into the reservoir for recycling. The water in the reservoir is led to the water turbine of the pumped-storage power station through a pipeline.
Preferably, the pumped storage power station further comprises a display and a voice prompt, and the display and the voice prompt are respectively connected with the controller.
Preferably, the distributed energy storage power station monitoring system further comprises an analog signal input conditioning circuit and an electricity consumption adjusting knob which are respectively connected with the controller.
Preferably, the pumped storage power station further comprises a water pump abnormality detection method, wherein the water pump abnormality detection method comprises the following steps:
the method comprises the steps that power utilization gears corresponding to the lower water suction pump at different water suction speeds are stored in a memory in advance; when the power consumption adjusting knob is used, a user slowly adjusts the power consumption adjusting knob from the minimum power consumption gear to the maximum power consumption gear, the analog signal is input into the conditioning circuit to detect the pumping speed corresponding to each power consumption gear of the power consumption adjusting knob, and the controller judges whether the pumping speed of the lower pumping pump corresponding to each detected power consumption gear reaches the normal range of the pumping speed corresponding to the prestored power consumption gear. If the pumping speed does not reach the normal range, judging a fault, controlling the display to display abnormal pumping speed information of the lower pumping pump by the controller, controlling the voice prompt to send out voice alarm prompt, otherwise, controlling the display to output normal pumping speed information of the lower pumping pump by the controller.
When the pumping speed of the water pump is abnormal, the fact that the lower water pump pumps the same amount of water consumes more electricity is indicated, and the fact that the lower water pump has abnormal pumping at the moment is indicated, and the lower water pump needs to be replaced or maintained. The device can remind a user in time when the pumping speed of the lower water pump is abnormal, has high detection precision and low misjudgment rate and missed judgment rate, and improves maintenance efficiency. The same can also judge the abnormal information of the upper water pump.
Preferably, the method for implementing the optimal strategy of power storage control power generation efficiency of the power storage control power generation efficiency strategy module is as follows:
the continuous power generation function of the pumped storage power station can be met as the power generation efficiency and the stored power of the pumped storage power station need to be stabilized within a preset level range; if the electricity sales quantity can be accurately predicted, the electricity generation efficiency strategy can be controlled according to the stored electricity quantity:
firstly, obtaining an optimal control function;
recording the electricity storage quantity at the moment t as x (t), and the electricity generation quantity and the electricity selling quantity in unit time as u (t) and v (t) respectively, so that the electricity storage quantity and the electricity selling quantity meet the requirements
Where v (t) is a known function,
the preset generated energy and stored energy are respectively recorded as u 0 And x 0 The generated energy u (t) and the stored energy x (t) are respectively stabilized at u as much as possible 0 And x 0 On the level of (2), a quadratic objective function is obtained by solving a control function u (t)
To a minimum, where T is any given time,is a weighting factor for adjusting the importance between u (t) stability and x (t) stability and applies a dimension having a reciprocal of time;
the stored energy x (T) in (1) and (2) is a state function, and the stored energy is zero when t=0 and t=t can be set for the sake of determination, namely, the fixed endpoint condition
x(0)=0,x(T)=0 (3)
In addition, there is a constraint on the amount of power generation and the amount of power storage, and this constraint is expressed as
0≤u(t)≤u m ,0≤x(t)≤x m (4)
Under the constraint conditions (1), (3) and (4), u (t) is calculated so that the generalized function F of the formula (2) reaches the minimum value;
solving the formula (1) for the substitution of u (t) into the formula (2) and writing the formula as a generalized function of x (t)
The condition (4) is temporarily not considered, the (3) and (5) form a generalized function extremum problem of an inherent endpoint, and the optimal solution x (t) is obtained by solving a variational method and then substituted into the (1), so that an optimal control function can be obtained;
then, the control quantity u can be determined according to the state x easy to observe;
to simplify the solving process, the sold electric quantity is set to be a known constant, namely
v(t)=v 0 (6)
Substituting (6) into (5) to obtain optimal solution x (t) according to Euler equation to satisfy equation
I.e.
The solution of equation (7) under the end point condition (3) is
Substituting (8) into (1) to obtain
(8) And (9) an optimal state function and an optimal control function respectively;
obtained by the two formulas (8) and (9)
Let T → infinity, for any finite T, the last term at the right end of the above formula tends to zero, so there is
The above expression (11) shows that the power generation amount control function u can be directly determined from the stored power state x without involving the time independent variable t, and u decreases as x increases, which is called state negative feedback that can determine the control amount u from the state x that is easy to observe;
finally, obtaining an optimal solution of the original problem of the constraint condition (4);
looking at constraint (4), two expressions (8) and (9) can be re-expressed as using hyperbolic functions
A schematic diagram of the optimal solutions x (t) and u (t) is drawn according to the formulas (12), (13), and can be seen from the schematic diagram, provided that x is m ≥x 0 There is 0.ltoreq.x (t.ltoreq.x) m That is, x (t) satisfies the condition (4); and the given parameter x m And x 0 Naturally should have x m ≥x 0 On the other hand, because
So that u (0). Ltoreq.u m U (T) is more than or equal to 0, and u (T) is more than or equal to 0 and less than or equal to u m Under such conditions, x (t) and u (t) given by the two formulas (8) and (9) are also optimal solutions considering the original problem of the constraint condition (4); thus, the optimal strategy for controlling the power generation efficiency by the stored electricity can be obtained.
The sales quantity can be preset or can be accurately predicted, and the prediction accurate value of the sales quantity can be obtained according to historical sales data. According to the scheme, part of electricity generated by the pumped storage power station is stored on the energy storage battery pack, and the stored electricity is used for controlling the power generation efficiency, so that the power supply stability of the pumped storage power station is good.
The invention can achieve the following effects:
the invention has good reliability, stores a part of electricity generated by the pumped storage power station on the energy storage battery pack, and uses the stored electricity to control the power generation efficiency, thereby ensuring good power supply stability of the pumped storage power station.
Drawings
Fig. 1 is a schematic diagram of a circuit principle connection structure according to an embodiment of the present invention.
Fig. 2 is a schematic diagram of a connection structure of a pumped-storage power plant according to an embodiment of the invention.
Fig. 3 is a schematic diagram of an optimal solution x (t) according to an embodiment of the present invention.
Fig. 4 is a schematic diagram of an optimal solution u (t) according to an embodiment of the present invention.
FIG. 5 is a schematic view showing an enlarged connection structure in a top view of an inner ring plate of a reservoir according to an embodiment of the present invention
Fig. 6 is a schematic diagram of a side view enlarged connection structure of a pressure plate in a reservoir according to an embodiment of the invention.
Fig. 7 is a schematic diagram of a connection structure of a sump of a pumped-storage power station according to an embodiment of the present invention, which is disposed on a second pipe of a pipeline.
Fig. 8 is a schematic view of an enlarged connection structure at the oscillation elimination vertical pipe of the pumped-storage power plant according to the embodiment of the invention.
Fig. 9 is a schematic diagram of a cross-sectional connection structure of a pipe water hammer damage reduction strategy device of a pumped-storage power station according to an embodiment of the present invention.
FIG. 10 is a schematic view of a cross-sectional connection structure at a water inlet cap in a reservoir according to an embodiment of the present invention.
Fig. 11 is a circuit diagram of an analog signal input conditioning circuit according to an embodiment of the invention.
Fig. 12 is a circuit diagram of a compound switch according to an embodiment of the invention.
FIG. 13 is a schematic view of a connection structure of a pumped-storage power plant according to an embodiment of the invention when water is present in the pipeline.
Fig. 14 is a schematic view of a connection structure of a pressure regulating device according to an embodiment of the present invention.
FIG. 15 is a schematic view of a connection structure in a use state when sediment on the bottom surface of the reservoir is shallow, the pressure plate is not pressed on the sediment, and the second vertical pipe is not extended upward.
FIG. 16 is a schematic view showing a connection structure in a use state when sediment on the bottom surface of the reservoir is relatively high, and the pressure plate is pressed on the sediment, and the second vertical pipe is extended upward.
Fig. 17 is a schematic diagram of a top view connection structure of a vertical hole of a closed slider according to an embodiment of the present invention.
Detailed Description
The invention is further described below with reference to the drawings and examples.
An embodiment, a distributed energy storage power station monitoring system, is shown in FIGS. 1-17.
The system comprises an energy storage control and monitoring platform 15, a power supply network 14, a plurality of power utilization units 13 connected to the power supply network and a plurality of pumped storage power stations 1 arranged at different positions; the pumped storage power station comprises a reservoir 38, a water turbine 35 and a pipeline 40, wherein two ends of the pipeline are respectively connected with a water outlet 41 of the reservoir and a water inlet 42 of the water turbine in a butt joint mode, and can guide water 98 of the reservoir to the water turbine; the pumped storage power station is also respectively provided with a wireless module 16, a stored electricity control power generation efficiency strategy module 17, a memory 18, a grid-connected device 2 and a controller 12; the grid-connected device comprises a first transformer 3, a first voltage sampling circuit 4, a switch K1, a charger 5, an energy storage battery pack 6, a switch K2, an inverter 7, a filter 8, a second transformer 9, a second voltage sampling circuit 10, a switch K3 and a third voltage sampling circuit 11 which are respectively connected with the controller; the input end of the first transformer and the input end of the charger are connected to the power output end of the pumped storage power station; the output end of the first transformer and the acquisition end of the first voltage sampling circuit are both connected to one end of a switch K1, and the other end of the switch K1 is connected to a power supply network; the charging end of the energy storage battery pack is connected with the output end of the charger, two ends of the switch K3 are respectively connected with the discharging end of the energy storage battery pack and the input end of the inverter, the output end of the inverter is connected with the input end of the filter, the output end of the filter is connected with the input end of the second transformer, the output end of the second transformer and the sampling end of the second voltage sampling circuit are both connected with one end of the switch K2, and the other end of the switch K2 is connected with the power supply network; the sampling end of the third voltage sampling circuit is connected to the power supply network; the electricity storage quantity control power generation efficiency strategy module, the wireless module and the memory are respectively connected with the controller; the controller is connected with the energy storage control monitoring platform through the wireless module.
The switch K1 and the switch K2 are both composite switches capable of precisely zero-crossing switching. See fig. 12.
The compound switch comprises a first node 701, a second node 702 and a silicon controlled switch K b Magnetic latching relay switch K c Node M a Inductance L a Node M b Capacitor Ca and diode D 1 Diode D 2 Diode D 3 Diode D 4 Capacitance C 0 Optocoupler OPT, resistor R 0 The self-powered power supply module 901, the magnetic driving power circuit 502, the silicon driving circuit 503 and the controller, and the optocoupler OPT comprises a light emitting diode D 5 And phototransistor Q 0 The method comprises the steps of carrying out a first treatment on the surface of the Silicon controlled switch K b And a magnetic latching relay switch K c One end of each of the two switches is connected with a first node, and the silicon controlled switch K b Is a magnetic latching relay switch K c Is the other end of (L) inductance a One end of diode D 1 Diode D and the positive terminal of (D) 3 Respectively with node M a Connection, inductance L a One end of the capacitor Ca and the capacitor C 0 One end of (a) is respectively connected with the node M b The other end of the capacitor Ca is connected to the second node, and the diode D 2 Diode D and the positive terminal of (D) 4 Is connected to the capacitor C 0 On the other end of (2)Polar tube D 1 Diode D and the negative terminal of (D) 2 Is connected to the LED D 5 Diode D at the positive terminal of (2) 3 Diode D and the positive terminal of (D) 4 Is connected to the LED D 5 On the negative terminal of the phototransistor Q 0 Is grounded, and a phototransistor Q 0 The collector of (a) is respectively connected with the resistor R 0 Is connected with the controller, resistor R 0 The other end of the power supply is connected with a self-powered power supply module, and the silicon driving circuit is respectively connected with a silicon controlled switch K b The control end of the magnetic driving circuit is connected with the controller, and the magnetic driving circuit is respectively connected with the magnetic latching relay switch K c Is connected with the controller.
When the thyristor switch K b On the conduction, the magnetic latching relay switch K c In the case of not being opened, the magnetic latching relay switch K at this time c Is also conductive, i.e. a thyristor switch K b Magnetic latching relay switch K c At this time, the two electrodes are simultaneously in an on state. Due to the thyristor switch K b The branch circuit has an inductance L a Obviously, the magnetic latching relay switch K c The impedance of the branch is far smaller than that of the thyristor switch K b Impedance of the branch, and thus flow through the magnetic latching relay switch K c Is greater than the current flowing through the thyristor switch K b The current of the branch. If the magnetic latching relay switch K c The contact is not disconnected at the zero crossing point of the current, and the contact is extremely easy to damage. The scheme obtains the inductance L from passing a Current I of branch 1 The accurate time point when the zero crossing point is reached, and then the controller sends out a control signal to turn off the magnetic latching relay switch K c To let the magnetic latching relay switch K c When the current is small, the closing or opening action is carried out, so that the magnetic latching relay switch K is not easy to burn c Upper contact point, effectively prolonging magnetic latching relay switch K c The service life of the compound switch is prolonged, the structure is simple, and the reliability is high.
When the power supply system is used, the output end of the first transformer and the acquisition end of the first voltage sampling circuit are both connected to a first node of a compound switch, and a second node of the compound switch is connected to a power supply network. Similarly, the output end of the second transformer and the sampling end of the second voltage sampling circuit are both connected to a first node of another compound switch, and a second node of the compound switch is connected to a power supply network. The power is supplied through zero-crossing switching, and the voltage is little in damage to the power grid. The reliability is good.
And part of electricity generated by the pumped storage power station is stored on the energy storage battery pack, and the stored electricity is used for controlling the power generation efficiency, so that the power supply stability of the pumped storage power station is good.
The pumped storage power station also comprises a lower water tank 27, a transit tank 25, a lower water suction pipe 26 which is provided with a lower water suction pump 23 and can pump water of the lower water tank into the transit tank, and an upper water suction pipe 24 which is provided with an upper water suction pump 80 and can pump water of the transit tank into a reservoir; the transfer pool is arranged between the reservoir and the lower pool; a reservoir water level sensor 81 capable of detecting the water level of the reservoir is arranged in the reservoir, and a transfer pool water level sensor 82 capable of detecting the water level of the transfer pool is arranged in the transfer pool; the upper and lower pipe orifices of the lower water pumping pipe are respectively arranged on the pool opening of the transfer pool and in the lower pool, and the upper and lower pipe orifices of the upper water pumping pipe are respectively arranged on the pool opening of the reservoir and in the transfer pool; the reservoir water level sensor, the transfer pool water level sensor, the control end of the upper water suction pump and the control end of the lower water suction pump are respectively connected with the controller. The water exiting the turbine 35 is directed into the lower basin by a drain 79.
After the upper water suction pump and the lower water suction pump are started, water in the lower water tank can be pumped into the reservoir for recycling. The water from the reservoir is led via a pipe to the turbine 35 of the pumped-storage power station.
The pumped storage power station also comprises a display 19 and a voice prompt 20, which are respectively connected with the controller.
The pumped storage power station also comprises an analog signal input conditioning circuit 21 and an electricity consumption adjusting knob 22 which are respectively connected with the controller. See fig. 11.
The pumped storage power station also comprises a water pump abnormality detection method, wherein the water pump abnormality detection method comprises the following steps: the method comprises the steps that power utilization gears corresponding to the lower water suction pump at different water suction speeds are stored in a memory in advance; when the power consumption adjusting knob is used, a user slowly adjusts the power consumption adjusting knob from the minimum power consumption gear to the maximum power consumption gear, the analog signal is input into the conditioning circuit to detect the pumping speed corresponding to each power consumption gear of the power consumption adjusting knob, and the controller judges whether the pumping speed of the lower pumping pump corresponding to each detected power consumption gear reaches the normal range of the pumping speed corresponding to the prestored power consumption gear. If the pumping speed does not reach the normal range, judging a fault, controlling a display to display abnormal pumping speed information of the lower pumping pump by the controller, and controlling a voice prompt to send out a voice alarm prompt, otherwise, controlling the display to output normal pumping speed information of the lower pumping pump by the controller;
when the pumping speed of the water pump is abnormal, the fact that the lower water pump pumps the same amount of water consumes more electricity is indicated, and the fact that the lower water pump has abnormal pumping at the moment is indicated, and the lower water pump needs to be replaced or maintained. The device can remind a user in time when the pumping speed of the lower water pump is abnormal, has high detection precision and low misjudgment rate and missed judgment rate, and improves maintenance efficiency. The same can also judge the abnormal information of the upper water pump.
The implementation method of the optimal strategy of the electricity storage quantity control generating efficiency strategy module comprises the following steps:
the continuous power generation function of the pumped storage power station can be met as the power generation efficiency and the stored power of the pumped storage power station need to be stabilized within a preset level range; if the electricity sales quantity can be accurately predicted, the electricity generation efficiency strategy can be controlled according to the stored electricity quantity:
firstly, obtaining an optimal control function;
recording the electricity storage quantity at the moment t as x (t), and the electricity generation quantity and the electricity selling quantity in unit time as u (t) and v (t) respectively, so that the electricity storage quantity and the electricity selling quantity meet the requirements
Where v (t) is a known function,
preset power generation amountAnd the stored electric quantity are respectively recorded as u 0 And x 0 The generated energy u (t) and the stored energy x (t) are respectively stabilized at u as much as possible 0 And x 0 On the level of (2), a quadratic objective function is obtained by solving a control function u (t)
To a minimum, where T is any given time,is a weighting factor for adjusting the importance between u (t) stability and x (t) stability and applies a dimension having a reciprocal of time;
the stored energy x (T) in (1) and (2) is a state function, and the stored energy is zero when t=0 and t=t can be set for the sake of determination, namely, the fixed endpoint condition
x(0)=0,x(T)=0 (3)
In addition, there is a constraint on the amount of power generation and the amount of power storage, and this constraint is expressed as
0≤u(t)≤u m ,0≤x(t)≤x m (4)
Under the constraint conditions (1), (3) and (4), u (t) is calculated so that the generalized function F of the formula (2) reaches the minimum value;
solving the formula (1) for the substitution of u (t) into the formula (2) and writing the formula as a generalized function of x (t)
The condition (4) is temporarily not considered, the (3) and (5) form a generalized function extremum problem of an inherent endpoint, and the optimal solution x (t) is obtained by solving a variational method and then substituted into the (1), so that an optimal control function can be obtained;
then, the control quantity u can be determined according to the state x easy to observe;
to simplify the solving process, the sold electric quantity is set to be a known constant, namely
v(t)=v 0 (6)
Substituting (6) into (5) to obtain optimal solution x (t) according to Euler equation to satisfy equation
I.e.
The solution of equation (7) under the end point condition (3) is
Substituting (8) into (1) to obtain
(8) And (9) an optimal state function and an optimal control function respectively;
obtained by the two formulas (8) and (9)
Let T → infinity, for any finite T, the last term at the right end of the above formula tends to zero, so there is
The above expression (11) shows that the power generation amount control function u can be directly determined from the stored power state x without involving the time independent variable t, and u decreases as x increases, which is called state negative feedback that can determine the control amount u from the state x that is easy to observe;
finally, obtaining an optimal solution of the original problem of the constraint condition (4);
looking at constraint (4), two expressions (8) and (9) can be re-expressed as using hyperbolic functions
A schematic diagram of the optimal solutions x (t) and u (t) is drawn according to the formulas (12), (13), and can be seen from the schematic diagram, provided that x is m ≥x 0 There is 0.ltoreq.x (t.ltoreq.x) m That is, x (t) satisfies the condition (4); and the given parameter x m And x 0 Naturally should have x m ≥x 0 On the other hand, because
So that u (0). Ltoreq.u m U (T) is more than or equal to 0, and u (T) is more than or equal to 0 and less than or equal to u m Under such conditions, x (t) and u (t) given by the two formulas (8) and (9) are also optimal solutions considering the original problem of the constraint condition (4); thus, the optimal strategy for controlling the power generation efficiency by the stored electricity can be obtained.
The sales quantity can be preset or can be accurately predicted, and the prediction accurate value of the sales quantity can be obtained according to historical sales data.
According to the embodiment, a part of electricity generated by the pumped storage power station is stored on the energy storage battery pack, and the stored electricity is used for controlling the power generation efficiency, so that the power supply stability of the pumped storage power station is good.
The pipeline comprises a first pipe 37 and a second pipe 36 with the diameter larger than that of the first pipe; the lower end of the second pipe is in butt joint connection with the water inlet of the water turbine, the upper end of the second pipe is integrally in butt joint connection with the lower port of the first pipe, and the upper port of the first pipe is in butt joint connection with the water outlet of the reservoir;
the pumped storage power station also comprises a pipeline water hammer damage reduction strategy device 39, and a first side wall hole 33 is arranged on the second pipe; the pipeline water hammer damage reduction strategy device comprises a water sump 32 with an opening 44 at the upper end of a sump cavity 43, a communicating pipe 34 and a water wave elimination device 78; two ends of the communicating pipe are respectively connected with a water outlet at the bottom of the water bin and a first side wall hole of the second pipe in a butt joint manner;
the water wave eliminating device comprises a plurality of cross bars 28, two ends of which are horizontally spaced and fixedly connected to the upper side wall in the bin cavity; a plurality of oscillation eliminating vertical pipes 29 are vertically and downwards arranged on each cross rod, and a plurality of oscillation eliminating side pipe holes 31 are arranged on the side pipe wall of each oscillation eliminating vertical pipe; the included angle between the first pipe and the horizontal plane is theta.
An oscillation elimination block 30 with the outer end facing downwards is fixedly arranged on the oscillation elimination vertical pipe above each oscillation elimination side pipe hole. The vibration eliminating block is used for pressing water which oscillates from bottom to top into the vibration eliminating vertical pipe, and the vibration eliminating effect is good.
The plurality of oscillation elimination side pipe holes on the same oscillation elimination vertical pipe are arranged in a spiral mode.
The lower limiting block 83 is fixedly arranged on the inner wall of the bin cavity of the water bin above the cross rod, the airtight sliding plate 84 capable of sliding up and down in an airtight manner is arranged in the bin cavity of the water bin above the lower limiting block, the fixed reinforcing rod 86 is arranged in the bin cavity of the water bin above the airtight sliding plate, and two ends of the spring 85 are respectively fixedly connected to the lower surface of the fixed reinforcing rod and the upper surface of the airtight sliding plate.
A plurality of side holes 97 are also arranged on the pipeline along the pipeline, and the side holes are arranged at different heights of the pipeline; each side hole is respectively provided with a pressure regulating device 980; the pressure regulating device comprises a connecting pipe 87 and a pressure regulating cavity 90, wherein the pressure regulating cavity is vertically arranged, the side wall of the inner cavity of the pressure regulating cavity is a vertical wall, a vent 96 is arranged on the upper top surface of the pressure regulating cavity, a lower through hole 91 is arranged on the lower bottom surface of the pressure regulating cavity, and a closed sliding block 93 is arranged in the cavity of the pressure regulating cavity in a vertically airtight sliding manner; a lower limit ring 89 is arranged in the pressure regulating cavity below the closed slide block, an upper ejector rod 95 is arranged in the pressure regulating cavity above the closed slide block, and two ends of a spring 94 are fixedly connected to the lower surface of the upper ejector rod and the upper surface of the closed slide block respectively; two ends of the connecting pipe are respectively connected with the side hole of the pipeline and the lower through hole of the lower bottom surface of the pressure regulating cavity in a butt joint way; a solenoid valve 88 with a control end connected with the controller is arranged on the connecting pipe.
A plurality of vertical holes 92 are provided in the closing slide.
The upper surface of the closed sliding block comprises an inner ring region 205, an intermediate ring region 203 and an outer ring region 201, and the circle center of the inner ring region, the circle center of the intermediate ring region and the circle center of the outer ring region are coincident with the center of the upper surface of the closed sliding block; the plurality of vertical through holes comprise a plurality of pairs of inner ring vertical through holes 206, a plurality of pairs of middle ring vertical through holes 204 and a plurality of pairs of outer ring vertical through holes 202; the pairs of inner ring vertical through holes are symmetrically arranged in the inner ring area; the plurality of centering ring vertical through holes are symmetrically arranged in the centering ring area; the outer ring vertical through holes are symmetrically arranged in the outer ring area.
The diameter of the inner ring vertical through hole is larger than that of the middle ring vertical through hole, the diameter of the middle ring vertical through hole is larger than that of the outer ring vertical through hole, and the diameter of the inner ring vertical through hole is smaller than one centimeter.
When water is required to be shut down or turbine power generation is required to be reduced, the electromagnetic valve is opened under the control of the controller, and the water impact action in the pipeline can be dispersed into each pressure regulating cavity, so that the damage of the pipeline water impact action of the pumped storage power station is reduced, the porous arrangement of the vertical holes can greatly reduce the damage of the pipeline water impact action, and the reliability is good.
A water depth scale line 207 capable of measuring the water surface height is arranged on the inner wall surface of the reservoir, and a camera 208 with a control end capable of observing the water surface height connected with a controller is arranged on the reservoir at the water depth scale line.
A wireless directional transceiver 209, a satellite timer 210, a GPS locator 211 and an address encoder 212 which are respectively connected with the controller are also arranged on the pumped storage power station.
The method for realizing the optimal strategy for reducing the pipeline water hammer of the strategy device for reducing the pipeline water hammer damage comprises the following steps:
according to Newton's second law of mechanics, the sum of forces acting in the direction of movement of the water flow in the first tube Namely there is
Wherein ρ is the density of water, L is the length of the first tube, s 1 The cross section area of the first pipe, y is the water flow speed in the first pipe, m 2 Is the pressure of water at the water outlet at the lower end of the first pipe, m 1 The pressure of water at the water inlet at the upper end of the first pipe is g, the gravity constant, theta is the included angle between the first pipe and the horizontal plane, and c is the viscosity coefficient;
y (t) is the water flow velocity in the first pipe at time t, m 2 (t) is the pressure of water when the water outlet at the lower end of the first pipe is at time t;
the water level of the reservoir is unchanged, so the pressure m of water at the water inlet at the upper end of the first pipe 1 Is a constant;
the water and the first pipe are inelastic, the resistance of the pipe wall of unit length to water flow is inversely proportional to the square of the water flow speed, and the proportionality constant c is called as the viscosity coefficient;
(II) because the water inlet of the water bin is arranged at the bottom of the bin, the gravity ρs of the water column in the bin 0 hg forms the bottom to top pressure difference s 1 m 2 -s 0 m 1 Thus the hydrostatic equation of the sump is
s 1 m 2 -s 0 m 1 =ρs 0 hg (A2)
Wherein h is the water level height of the water sump, s 0 The sectional area of the water sump;
thirdly, according to the law of conservation of energy, the difference between the water inlet and the water outlet of the water bin is equal to the change of the water quantity in the water bin, namely
Wherein s is 2 The cross section area of the second pipe is w (t) is the water flow speed of the water outlet of the water bin at time t;
when the water flow speed w (t) of the water outlet of the water bin is changed, the change rule of the water level h (t) in the water bin is eliminated from the formulas (A1) - (A3) 2 And y (t), can be obtained
Wherein h (t) is the water level height of the water bin at time t;
when w (t) is in the steady state w 0 When there is a small change in the vicinity, h (t) is also in the steady state h 0 A nearby change; let h (t) =h in formula (A4) 0 And w (t) =w 0 ,h 0 And w 0 Are all constant, obtain
Wherein m is 0 Is the top atmospheric pressure, and is set to be the top atmospheric pressure,
let w (t) =w 0 +εw 1 (t),h(t)=h 0 +εh 1 (t) (A6)
Wherein ε is small, substituting (A6) into (A4) and omitting ε and ε 2 Can be obtained by the item of (a)
Or is recorded as
The initial condition of equation (A8) can be set as
For a given variety of forms w 1 The equations (t), (A8) - (A10) can be easily solved, and the general solution of the equation (A8) is as follows
/>
Wherein xi 0 、Is an arbitrary constant; when->Time->Exhibit oscillations, which are represented by the (A9) oscillation condition
In actual engineering, s 1 、s 0 、L、s 2 The parameters are limited by various conditions, but s is after engineering construction is completed 1 、s 0 、L、s 2 Is a known parameter, the viscosity coefficient c is small, eta is not large, and vibration with slow attenuation is formed under the condition (A12), and s is also because 0 >s 1 L is large, so k is small, ω is small, resulting in a long oscillation period of water in the sump, which is undesirable, and thus water is broken by providing a pipe in the sumpThe bad reduction strategy device is used for eliminating the oscillation of water in the water sump, namely the optimal strategy implementation method for reducing the water hammer of the pipeline.
The embodiment reduces the damage of the pipe water hammer action through the pipe water hammer damage reduction strategy device; when water in the bin cavity of the water bin oscillates up and down, the oscillation of the water can disappear quickly by eliminating the vertical pipes through the oscillation elimination of the plurality of oscillation pipes with holes, and the reliability is high.
The reservoir water outlet is arranged on the reservoir bottom surface 41 of the reservoir, a reservoir bottom first sealing slide plate 46 with a plate hole 45 in the middle is arranged on the reservoir inner bottom surface at the reservoir water outlet, and the upper port of the first pipe is in butt joint sealing and fixed connection with the plate hole of the reservoir bottom first sealing slide plate; a first vertical pipe 47 is arranged upwards at the plate hole of the first airtight slide plate at the bottom of the warehouse, and the pipe core line of the first vertical pipe and the hole core line of the plate hole of the first airtight slide plate at the bottom of the warehouse are all located on the same vertical straight line; a second vertical pipe 48 is arranged in the first vertical pipe in a vertically sliding manner, a water inlet cover 73 is fixedly connected to the upper pipe orifice of the second vertical pipe, and an auxiliary hole 68, a vertical cover hole 74 and a plurality of water inlet holes 69 are respectively arranged on the upper surface of the water inlet cover; the side surface of the water inlet cover is fixedly sleeved with a circular ring plate 51, the upper surface of the circular ring plate is provided with gears 55 along the circumferential surface of the circular ring plate, four horizontal rods 52 are uniformly distributed outwards around the circular ring plate, the outer end of each horizontal rod is fixedly connected with a pressure plate 53, and the two ends of the pressure plate are tilted upwards 54; the upper end of a third vertical pipe 49 is vertically and fixedly connected in the vertical cover hole; a side wall hole 72 is arranged on the side wall of the third vertical pipe, and two ends of an inclined pipe 70 are respectively sealed, fixedly connected to the auxiliary hole and the side wall hole of the third vertical pipe in a butt joint manner; the lower end of a first rotating shaft 71 is horizontally and rotatably arranged in a third vertical pipe, a circular ring block 66 is fixedly sleeved on the first rotating shaft above the vertical cover hole, and a ball 67 capable of rolling on the upper surface of the water inlet cover is arranged on the lower surface of the circular ring block; the upper end of a second rotating shaft 75 is fixedly connected to the lower surface of the first rotating shaft, and a spiral blade 50 is arranged on the second rotating shaft; the diameter of the second rotating shaft is smaller than that of the first rotating shaft, and the spiral blade is positioned below a side wall hole of the third vertical pipe; the lower end of the first rotating shaft is positioned above the side wall hole of the third vertical pipe; a first gear 65 is arranged on the first rotating shaft above the circular block, a third rotating shaft 62 is vertically upwards arranged on the water inlet cover positioned on the right of the first rotating shaft, a fourth rotating shaft 61 is vertically upwards arranged on the water inlet cover positioned on the right of the third rotating shaft, and a fifth rotating shaft 59 is horizontally and rightwards arranged on the water inlet cover positioned on the right of the fourth rotating shaft; a second gear 64 which has a diameter larger than that of the first gear and is mutually meshed with the first gear for driving connection is arranged on the third rotating shaft; a third gear 63 with a diameter smaller than that of the first gear is arranged on a third rotating shaft below the second gear; a fourth gear 76 which has a diameter larger than that of the second gear and is mutually meshed with the third gear for driving connection is arranged on the fourth rotating shaft; a first conical gear 60 is arranged on a fourth rotating shaft positioned below the fourth gear; a first steering gear 77 which is in meshed driving connection with the first conical gear is fixedly arranged at the left end of the fifth rotating shaft; a vertical rotating disc 58 is vertically and fixedly arranged at the right end of the fifth rotating shaft, and a gear 56 which can be mutually meshed with a gear on the circular plate for driving connection is arranged on the outer circumferential surface of one half of the vertical rotating disc; the remaining outer circumferential surface of the vertical rotating disk is a smooth circular arc surface 57 which is not in contact with the gears on the circular plate.
Let the water inlet of a tub always be located the top of reservoir bottom surface silt 99, the silt of reservoir bottom surface is difficult for entering into a tub, reduces the damage of silt to pipeline and hydraulic turbine, and the security is good.
The embodiment has network monitoring, stores a part of electricity sent by the pumped storage power station on the energy storage battery pack, and uses the stored electricity to control the power generation efficiency, so that the power supply stability of the pumped storage power station is good, the generated energy of the pumped storage power station is small due to the fact that the water quantity of a reservoir is small, the battery pack is started to generate electricity outwards, the power supply stability of the pumped storage power station is good, the damage of the water impact effect of a pipeline can be reduced, and sediment on the bottom surface of the reservoir is not easy to enter the pipeline, so that the impact damage of the sediment on the inner wall of the pipeline and the blades of a water turbine is reduced. When the load demand is lower and the water quantity required by the water turbine is lower, a large amount of water is stored in the water sump, and the water level in the water sump is higher; when the load demand suddenly increases, the water in the water bin can be used for meeting the water quantity increase of the water turbine, and the phenomenon that the water impact effect of the pipeline is greatly damaged due to the sudden large change of the water flow velocity in the pipeline is avoided.
The embodiments of the present invention have been described above with reference to the accompanying drawings, but the embodiments are not limited to the above examples, and various changes or modifications may be made by one of ordinary skill in the art within the scope of the appended claims.
Claims (1)
1. The distributed energy storage power station monitoring system comprises a power supply network, a plurality of power utilization units connected to the power supply network and a plurality of pumped storage power stations arranged at different positions; the pumped storage power station comprises a reservoir, a water turbine and a pipeline, wherein two ends of the pipeline are respectively connected to a water outlet of the reservoir and a water inlet of the water turbine in a butt joint mode, and can guide water of the reservoir to the water turbine; the system is characterized in that a power storage quantity control power generation efficiency strategy module, a memory, a grid-connected device and a controller are also respectively arranged in the pumped storage power station; the grid-connected device comprises a first transformer, a first voltage sampling circuit, a switch K1, a charger, an energy storage battery pack, a switch K2, an inverter, a filter, a second transformer, a second voltage sampling circuit, a switch K3 and a third voltage sampling circuit which are respectively connected with the controller; the input end of the first transformer and the input end of the charger are connected to the power output end of the pumped storage power station; the output end of the first transformer and the acquisition end of the first voltage sampling circuit are both connected to one end of a switch K1, and the other end of the switch K1 is connected to a power supply network; the charging end of the energy storage battery pack is connected with the output end of the charger, two ends of the switch K3 are respectively connected with the discharging end of the energy storage battery pack and the input end of the inverter, the output end of the inverter is connected with the input end of the filter, the output end of the filter is connected with the input end of the second transformer, the output end of the second transformer and the sampling end of the second voltage sampling circuit are both connected with one end of the switch K2, and the other end of the switch K2 is connected with the power supply network; the sampling end of the third voltage sampling circuit is connected to the power supply network; the electricity storage quantity control power generation efficiency strategy module and the memory are respectively connected with the controller;
the pumped storage power station also comprises a lower water tank, a transfer tank, a lower water suction pipe which is provided with a lower water suction pump and can pump water of the lower water tank into the transfer tank, and an upper water suction pipe which is provided with an upper water suction pump and can pump water of the transfer tank into a reservoir; the transfer pool is arranged between the reservoir and the lower pool; a reservoir water level sensor capable of detecting the water level of the reservoir is arranged in the reservoir, and a transfer pool water level sensor capable of detecting the water level of the transfer pool is arranged in the transfer pool; the upper and lower pipe orifices of the lower water pumping pipe are respectively arranged on the pool opening of the transfer pool and in the lower pool, and the upper and lower pipe orifices of the upper water pumping pipe are respectively arranged on the pool opening of the reservoir and in the transfer pool; the reservoir water level sensor, the transfer pool water level sensor, the control end of the upper water suction pump and the control end of the lower water suction pump are respectively connected with the controller; the water from the water turbine is led into the lower water tank through a water outlet pipe;
the pumped storage power station also comprises a display and a voice prompt, and the display and the voice prompt are respectively connected with the controller;
the pumped storage power station also comprises an analog signal input conditioning circuit and an electricity consumption adjusting knob which are respectively connected with the controller;
the pumped storage power station also comprises a water pump abnormality detection method, wherein the water pump abnormality detection method comprises the following steps:
the method comprises the steps that power utilization gears corresponding to the lower water suction pump at different water suction speeds are stored in a memory in advance; when the power consumption adjusting knob is used, a user slowly adjusts the power consumption adjusting knob from a power consumption minimum gear to a power consumption maximum gear, an analog signal is input into a conditioning circuit to detect the pumping speed corresponding to each power consumption gear of the power consumption adjusting knob, and a controller judges whether the pumping speed of a lower pumping pump corresponding to each detected power consumption gear reaches a pre-stored normal range of the pumping speed corresponding to the power consumption gear; if the pumping speed does not reach the normal range, judging a fault, controlling a display to display abnormal pumping speed information of the lower pumping pump by the controller, and controlling a voice prompt to send out a voice alarm prompt, otherwise, controlling the display to output normal pumping speed information of the lower pumping pump by the controller;
the implementation method of the optimal strategy of the electricity storage quantity control generating efficiency strategy module comprises the following steps:
the continuous power generation function of the pumped storage power station can be met as the power generation efficiency and the stored power of the pumped storage power station need to be stabilized within a preset level range; if the electricity sales quantity can be accurately predicted, the electricity generation efficiency strategy can be controlled according to the stored electricity quantity:
firstly, obtaining an optimal control function;
recording the electricity storage quantity at the moment t as x (t), and the electricity generation quantity and the electricity selling quantity in unit time as u (t) and v (t) respectively, so that the electricity storage quantity and the electricity selling quantity meet the requirements
Where v (t) is a known function,
the preset generated energy and stored energy are respectively recorded as u 0 And x 0 The generated energy u (t) and the stored energy x (t) are respectively stabilized at u as much as possible 0 And x 0 On the level of (2), a quadratic objective function is obtained by solving a control function u (t)
To a minimum, where T is any given time,is a weighting factor for adjusting the importance between u (t) stability and x (t) stability and applies a dimension having a reciprocal of time;
the stored energy x (T) in (1) and (2) is a state function, and the stored energy is zero when t=0 and t=t can be set for the sake of determination, namely, the fixed endpoint condition
x(0)=0,x(T)=0 (3)
In addition, there is a constraint on the amount of power generation and the amount of power storage, and this constraint is expressed as
0≤u(t)≤u m ,0≤x(t)≤x m (4)
Under the constraint conditions (1), (3) and (4), u (t) is calculated so that the generalized function F of the formula (2) reaches the minimum value;
solving the formula (1) for the substitution of u (t) into the formula (2) and writing the formula as a generalized function of x (t)
The condition (4) is temporarily not considered, the (3) and (5) form a generalized function extremum problem of an inherent endpoint, and the optimal solution x (t) is obtained by solving a variational method and then substituted into the (1), so that an optimal control function can be obtained;
then, the control quantity u can be determined according to the state x easy to observe;
to simplify the solving process, the sold electric quantity is set to be a known constant, namely
v(t)=v 0 (6)
Substituting (6) into (5) to obtain optimal solution x (t) according to Euler equation to satisfy equation
I.e.
The solution of equation (7) under the end point condition (3) is
Substituting (8) into (1) to obtain
(8) And (9) an optimal state function and an optimal control function respectively;
obtained by the two formulas (8) and (9)
Let T → infinity, for any finite T, the last term at the right end of the above formula tends to zero, so there is
The above expression (11) shows that the power generation amount control function u can be directly determined from the stored power state x without involving the time independent variable t, and u decreases as x increases, which is called state negative feedback that can determine the control amount u from the state x that is easy to observe;
finally, obtaining an optimal solution of the original problem of the constraint condition (4);
looking at constraint (4), two expressions (8) and (9) can be re-expressed as using hyperbolic functions
A schematic diagram of the optimal solutions x (t) and u (t) is drawn according to the formulas (12), (13), and can be seen from the schematic diagram, provided that x is m ≥x 0 There is 0.ltoreq.x (t.ltoreq.x) m That is, x (t) satisfies the condition (4); and the given parameter x m And x 0 Naturally should have x m ≥x 0 On the other hand, because
So that u (0). Ltoreq.u m U (T) is more than or equal to 0, and u (T) is more than or equal to 0 and less than or equal to u m Under such conditions, x (t) and u (t) given by the two formulas (8) and (9) are also optimal solutions considering the original problem of the constraint condition (4); thus, the optimal strategy for controlling the power generation efficiency by the stored electricity can be obtained.
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