The present disclosure relates to a real-time operational framework for electric grids combining automatic generation control and economic dispatch via control-based generation scheduling.
With respect to power generation, there is a direct correlation between demand, or load, changes and system frequency. When generated power, or electricity supply, is higher than actual demand, the frequency of the system increases, and vice versa. However, these frequency changes must be maintained within acceptable limits in order to avert instability within the system. Ideally, system frequency is maintained at a nominal value irrespective of changes in system load, reflecting a balance between power generation and demand.
A recent shift to renewable energy sources, in light of the potential environmental impact of fossil fuel consumption, has refocused attention on maintaining and controlling power generation in the context of power demand. The variable nature and dependability of renewable energy generation, however, with the potential to shift dramatically by the second, has brought light to the inefficiencies of current control schemes for power generation. A control scheme allowing for control of power generation in real-time has yet to be developed.
The foregoing “Background” description is for the purpose of generally presenting the context of the disclosure. Work of the inventors, to the extent it is described in this background section, as well as aspects of the description which may not otherwise qualify as prior art at the time of filing, are neither expressly or impliedly admitted as prior art against the present invention.
The present disclosure relates to a system and method for regulating power generation.
According to an embodiment, the present disclosure is related to a method for regulating power generation, comprising receiving, via processing circuitry, initial net load power data from an electric power system, determining, via the processing circuitry, one or more power generation set-points of one or more power generation units based upon the initial net load power data, transmitting, via the processing circuitry, each of the one or more power generation set-points to a corresponding at least one power generation unit of the one or more power generation units, measuring, via the processing circuitry, a frequency deviation of each of the one or more power generation units, and updating, via the processing circuitry, the one or more power generation set-points of the one or more power generation units, wherein updating the one or more power generation set-points of the one or more power generation units is based upon the measured frequency deviation of each of the one or more power generation units.
According to an embodiment, the present disclosure further relates to a system for regulating power generation of an electric power system, comprising one or more power generation units, and a control device having a processing circuitry configured to receive initial net load power data from the electric power system, determine one or more power generation set-points of at least one of the one or more power generation units based upon the initial net load power data, transmit each of the one or more power generation set-points to a corresponding at least one power generation unit of the one or more power generation units, measure a frequency deviation of each of the one or more power generation units, and update the one or more power generation set-points of the one or more power generation units, wherein updating the one or more power generation set-points of the one or more power generation units is based upon the measured frequency deviation of each of the one or more power generation units.
The foregoing paragraphs have been provided by way of general introduction, and are not intended to limit the scope of the following claims. The described embodiments, together with further advantages, will be best understood by reference to the following detailed description taken in conjunction with the accompanying drawings.
A more complete appreciation of the disclosure and many of the attendant advantages thereof will be readily obtained as the same becomes better understood by reference to the following detailed description when considered in connection with the accompanying drawings, wherein:
The terms “a” or “an”, as used herein, are defined as one or more than one. The term “plurality”, as used herein, is defined as two or more than two. The term “another”, as used herein, is defined as at least a second or more. The terms “including” and/or “having”, as used herein, are defined as comprising (i.e., open language). Reference throughout this document to “one embodiment”, “certain embodiments”, “an embodiment”, “an implementation”, “an example” or similar terms means that a particular feature, structure, or characteristic described in connection with the embodiment is included in at least one embodiment of the present disclosure. Thus, the appearances of such phrases or in various places throughout this specification are not necessarily all referring to the same embodiment. Furthermore, the particular features, structures, or characteristics may be combined in any suitable manner in one or more embodiments without limitation.
Conventional electricity generation is based on fossil fuels such as oil, gas, and coal. Due to recently increased concerns regarding the environmental impact of carbon emissions produced during the usage of such fossil fuels, policy makers and researchers, alike, have turned to renewable energy sources to power the future. Of these renewable energy sources, solar and wind power, as a result of their technical and economic feasibility, have emerged as leading technologies. The variable nature of these renewable energy sources, however, limits their implementation, especially at increased penetration levels where large-scale integration into an electric power grid may degrade the overall grid's power quality and reliability.
Because of the above-described fluctuations in renewable energy sources, automatic generation control scheduling, a secondary control mechanism responsible for maintaining system frequency at a nominal value, thereby balancing generation and load, is challenged. Specifically, this is due to the relationship between load changes and system frequency. When electricity supply is higher than actual demand, system frequency increases, and vice versa. Frequency deviations, however, in context of nominal values, must be kept within acceptable limits in order to avert instability in the system. In other words, generation and demand must be balanced at all times.
In the case of a single generator within a multi-generator network, a generation-load balancing action of a governor, a primary control, may result in unacceptable frequency deviations, as the generator's droop characteristic prevents hunting within the multi-generator network. For example, in response to a sudden decrease in load, and therefore, an increase in frequency, or turbine speed, a governor may decrease generation in order to match the reduced load. While it may be possible, therefore to match generation and load, it is not guaranteed that the frequency of the system will return to a reference set point, a result of the droop characteristics of the generator. To this end, and as alluded to above, automatic generation control (AGC), a secondary control, is the control mechanism responsible for maintaining system frequency of the multi-generator network at its nominal value. Specifically, AGC decomposes the multi-generator network into ‘balancing authorities’, each ‘balancing authority’ generating an area control error (ACE) signal that provides input to a proportional-integral controller in order to adjust governor set-points at participating generators.
Both primary and secondary control levers use local control signals such that changes in frequency and load trigger proper valve and set-point changer machine actions, respectively. From a high-level, as it relates to a single generator within a multi-generator network, the governor, or primary control, balances generation and demand around a load reference set-point while the AGC, or secondary control, updates the load reference set-point in order to maintain a nominal system frequency value. Moreover, in the case of the multi-generation unit facility, a centralized generation scheduling program may apportion load to each of multiple generating units in order to facilitate the governor and AGC functions to run the system in the most efficient manner. According to an embodiment, the centralized generation scheduling program may be, but is not limited to, an economic dispatch (ED) program. Typically, optimal generation schedules via ED are updated every 5-10 minutes, or hourly, while AGC produces raise/lower generation signals once every 2-4 seconds between ED scheduling.
As a result, the relationship between these hierarchical and discretized temporal implementations of the AGC, ED, and the continuously changing nature of demand leads to suboptimal operation. This is due, in part, to the dependence of AGC on ED signals for optimal operation. ED, however, is often slow to respond to rapid changes in load. Hence, between ED evaluations of the system of generators, in a classical approach, AGC often turns to participation factors and other ad-hoc techniques to adjust generators' set points.
Moreover, though broadly accepted, the above-described conventional control scheme fails when applied to operation of modern power grids with high penetration of renewable energy sources. To this end, several schemes have been proposed to improve the economics of the load-frequency control scheme, including those aimed at improving the operation of the classical AGC, while others, the classical ED program, independently.
According to an embodiment, the present disclosure describes an integrated real-time framework for ED and AGC in a feedback control scheme. The ED generation scheduler may be configured to distribute optimal base points to all generators in real-time and the AGC may be configured to move each generator around its base point to maintain frequency within acceptable limits. In other words, the present disclosure describes an integrated control scheme that may comprise AGC, as an inner control loop, whose set points are driven by a slower, outer loop of ED. This framework may, ultimately, serve as a catalyst for integrating large capacities of renewable energy sources while minimizing negative effects on power system stability and operation.
Following changes in electricity demands, resulting in fluctuations in net load, or the difference between demand and generation, defined as ΔPe, a primary control, or governor, may respond. By measuring frequency deviations, or speed deviations, defined as Δω, appropriate changes in valve actuating signals, ΔPv, may be sent to a turbine. Changes in ΔPv result in changes in mechanical power, ΔPm, of a turbine-generator shaft until a generation-load balance is achieved. When a single generator within a multi-generator system is considered, following action of the primary control, frequency deviation of the multi-generator system may be non-zero, due to the droop characteristics of a governor, or primary control. In an embodiment, droop characteristics define the primary frequency control stage at which a generator's desired power output is moved above or below its base point proportional to a magnitude of frequency deviation. Models of a generator, electrical load, turbine, and governor, in the context of small perturbations in frequency-domain, are given in (1) to (4), respectively,
where H is the angular momentum, or generator damping, of a machine, τt is a time-constant of the turbine, τg is a time-constant of the governor, and D, in KW/Hz, is a sensitivity of load to changes in frequency.
In (2), the first and second terms on the right hand side of the equation are non-frequency and frequency sensitive loads, respectively. The input to the governor is given in (5), where the change in load or speed reference set-point is ΔPref and R is the regulation of the governor (or droop characteristic). This control loop, where ΔPref is zero, is referred to as the primary control loop.
In order to maintain zero system frequency deviations, however, the generator's desired power output may be further driven by a secondary control action. This secondary control action, or AGC, comprising an integral controller, may vary the load reference set-point of each generator in order to ensure zero steady-state error in system frequency.
As alluded to, AGC helps to reset the governor to produce a desired power output at a nominal frequency by shifting the load reference set-point. It comprises an integrator and a gain where the input is Δω. According to an exemplary embodiment, a closed-loop diagram of the primary control 140 and secondary, AGC control 145 is shown in
While efficient within a single generator system, in a multi-generator facility, AGC and the primary control, or governor, are not capable of guaranteeing efficiency of all units in the context of system load. To this end,
ΔPi=pfi·ΔPref,Σipfi=1 (6)
Complementary to AGC, a classical formulation for ED in an isolated, multiple generator system is described in (7) to (10), wherein (7) is minimized while subject to (8) and (9).
f=Σ
i=1
N
F
i(Pi) (7)
where Fi(Pi)=A+BPi+CPi2 (8)
P
load−Σi=1NPi=0 (9)
P
i
min
≤P
i
≤P
i
max (10)
where for a unit i, Pi is a generation base point, Fi is an operating cost function with parameters A, B, and C, and Pimin and Pimax are power output limits related to a system load, Pload.
The above-outlined ED formulation may be considered a constrained optimization problem in a conventional power system. Classically, it may be implemented at pre-set intervals of 5-15 minutes. In order to solve the optimization problem, a gradient method via Lagrangian formulation may be employed. Further, as described in an embodiment of the present disclosure, a real-time ED Lagrangian formulation, as described in (11), may be evaluated, wherein a first term of L is an objective function, a second term represents a generation-load balance equality constraint, and a third term represents generation constraints for all generators.
L=Σ
i=1
N
F
i(Pi)+λ(Pload−Σi=1NPi)+Σi=1Nβi(Pi−Pilim) (11)
Moreover, λ may be the Lagrange multiplier associated with the equality constraint and βi may be the Lagrange multiplier associated with each of the generation limits. An optimal solution may be determined by driving each of the partial derivatives of the Lagrangian formulation to zero, as described in (12).
Complementary slackness conditions (13) may be used to handle inequality constraints.
This optimization may be performed at discrete instants of time or, for example, once every 15 minutes. Once the optimization is performed and optimal powers, Pi, are obtained, the generators' base points may be adjusted, accordingly. As such, the input base power for each generator on AGC is updated by setting Pbase, i=Pi 365, as indicated in
To this end, the real-time ED described in (11) to (13) may be formulated as a feedback control problem, wherein the inputs, or desired outputs, of the control scheme are zero and the real outputs of the control scheme are the Lagrangian partial derivatives. At a high level, a multiple generator plant may be represented by the equations of the partial derivatives, and the controls, thereof, are Pi, λ, and βi. At steady-state, the system may operate at the optimal operating point where all partial derivatives are zero. If system load, considered a disturbance in this control scheme, deviates, the partial derivatives may deviate from zero, accordingly. This deviation may be detected by a proportional-integral (PI) controller at each generator, each of which will drive one of the local controls such that optimality is restored.
According to an embodiment, the above-described ED optimization may temporarily restore system optimality. While restoring system efficiency, it may be slower than a classical AGC control loop, and thus, may not be independently sufficient. As a result, according to an embodiment, the present disclosure describes integration of AGC and control-based ED.
AGC may be incorporated into the control-based ED by directly feeding the generators' set-points from the control-based ED loop to the AGC loop, as shown in
The above-described classical approaches assume that ED is implemented once every 15 minutes. Therefore, if the system load changes after ED has been implemented and the generators' base points have been set, AGC must be used to adjust the generators' desired power outputs based on droop characteristics, supplementary control, and participation factors. According to an embodiment, however, the integrated control strategy of the present disclosure is able to continuously maintain an optimal solution, detecting and responding to fluctuations in load in real-time.
According to an exemplary embodiment, the integrated ED-AGC control scheme of the present disclosure may be implemented by a control device, via processing circuitry, configured to send and receive relevant data with a multi-generator system of generators.
Further, according to an exemplary embodiment, the integrated ED-AGC control scheme of the present disclosure may be evaluated on a six-bus, three-generator system, as described in “Power Generation, Operation, and Control”, by Wood A J, et al., and incorporated herein by reference in its entirety. Buses one to three may be generator buses while buses four to six may be load buses. Table 1 summarizes a selection of parameters key to generator performance and control. Further, Table 2 summarizes the parameters used for a classical AGC control scheme while Table 3 summarizes the PI controllers' parameters for the integrated ED-AGC control scheme of the present disclosure. The parameters of the PI controllers drive the generators' set-points, Pi, and the Lagrange multipliers, λ and β. These parameters may be carefully tuned to obtain reasonable transient behavior in response to load changes. It can be appreciated that, in an exemplary embodiment of the integrated ED-AGC control scheme of the present disclosure, values of R shown in Table 2 may be used while the participation factors, Pf, may be set to zero.
In each of the below-described simulations, net loads are evaluated. To obtain the net load, renewable generation is defined as a negative load. At t=0, the net load at each of the three load buses is assumed to be 100 MW. This is assumed to be the base load for a classical approach. Hence, Pbase for generators one to three may be set at 72.64, 118.69, and 108.66 MW, respectively.
In Test 1, the net load at each of the three load buses may be set to 100 MW. The optimal loading levels of the three generators obtained via the integrated ED-AGC control scheme are: P1=72.64 MW, P2=118.69 MW, and P3=108.66 MW. The system's incremental cost (λ) is 12.44 $/MWh, and the total operating cost is 41450.0 $/hr. These results are in agreement with those obtained from a classical ED model, confirming the utility of the ED control scheme.
In Test 2, the net load at each of the three load buses may be set such that a step change from 100 MW to 120 MW is experienced at t=60 seconds.
In Test 3, the net load at each of the three load buses is prescribed to randomly change. These random fluctuations are meant to simulate the behavior of a system with significant wind, or other renewable energy source, penetration. Also, in order to evaluate the ability of the integrated ED-AGC control scheme to operate within generator limits, reflecting real world constraints, the maximum power output of generator one may be reduced to 80 MW.
According to an embodiment, the above described process may be iterative and, following update of the one or more power generation set-points, the integrated ED-AGC control scheme again determines one or more power generation set-points S981 based upon a subsequently received net load power data of the electric power system S980.
According to an embodiment, updating the one or more power generation set-points may be based an error value of the measured frequency deviation. In an embodiment, the one or more power generation set-points are updated such that the error value of the measured frequency deviation is minimized.
Next, a hardware description of the control device according to exemplary embodiments is described with reference to
Further, the advancements disclosed herein may be provided as a utility application, background daemon, or component of an operating system, or combination thereof, executing in conjunction with CPU 1000 and an operating system such as Microsoft Windows 7, UNIX, Solaris, LINUX, Apple MAC-OS and other systems known to those skilled in the art.
The hardware elements in order to achieve the control device may be realized by various circuitry elements, known to those skilled in the art. For example, CPU 1000 may be a Xenon or Core processor from Intel of America or an Opteron processor from AMD of America, or may be other processor types that would be recognized by one of ordinary skill in the art. Alternatively, the CPU 1000 may be implemented on an FPGA, ASIC, PLD or using discrete logic circuits, as one of ordinary skill in the art would recognize. Further, CPU 1000 may be implemented as multiple processors cooperatively working in parallel to perform the instructions of the inventive processes described above.
The control device in
The control device further includes a display controller 1008, such as a NVIDIA GeForce GTX or Quadro graphics adaptor from NVIDIA Corporation of America for interfacing with display 1010, such as a Hewlett Packard HPL2445w LCD monitor. A general purpose I/O interface 1012 interfaces with a keyboard and/or mouse 1014 as well as a touch screen panel 1016 on or separate from display 1010. General purpose I/O interface also connects to a variety of peripherals 1018 including printers and scanners, such as an OfficeJet or DeskJet from Hewlett Packard.
A sound controller 1020 is also provided in the control device, such as Sound Blaster X-Fi Titanium from Creative, to interface with speakers/microphone 1022 thereby providing sounds and/or music. In an example, the sound controller 1020 interfaces with the speakers 1022 to provide an audible alert to a technician of an extraordinary frequency deviation.
The general purpose storage controller 1024 connects the storage medium disk 1004 with communication bus 1026, which may be an ISA, EISA, VESA, PCI, or similar, for interconnecting all of the components of the control device. A description of the general features and functionality of the display 1010, keyboard and/or mouse 1014, as well as the display controller 1008, storage controller 1024, network controller 1006, sound controller 1020, and general purpose I/O interface 1012 is omitted herein for brevity as these features are known.
Obviously, numerous modifications and variations are possible in light of the above teachings. It is therefore to be understood that within the scope of the appended claims, the invention may be practiced otherwise than as specifically described herein.
Thus, the foregoing discussion discloses and describes merely exemplary embodiments of the present invention. As will be understood by those skilled in the art, the present invention may be embodied in other specific forms without departing from the spirit or essential characteristics thereof. Accordingly, the disclosure of the present invention is intended to be illustrative, but not limiting of the scope of the invention, as well as other claims. The disclosure, including any readily discernible variants of the teachings herein, defines, in part, the scope of the foregoing claim terminology such that no inventive subject matter is dedicated to the public.
The present application claims priority to U.S. Provisional Application No. 62/585,270, filed Nov. 13, 2017, which is hereby incorporated by reference in its entirety for all purposes.
Number | Date | Country | |
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62585270 | Nov 2017 | US |