The present invention relates to a novel hybrid intelligent control system and method for power generating apparatuses, such as a permanent magnet synchronous generator (PMSG), and more particularly to a power generating system adapted for enabling a turbine to operate at its maximum efficiency by adjusting its blade pitch angle in response to the variation of an input flowing into the turbine, while allowing the shaft speed of a power generating apparatus to be controlled by a fuzzy interference mechanism so as to achieve its maximum power output.
Recently, green energy generation systems, such as wind power generation systems that are capable of harvesting wind power to be used for producing electricity without emissions, beginning to attract more and more attentions as they can be used as clean and safe renewable power sources. Taking the power generation system of the prime mover for instance, it can be designed to operate in either a constant-speed mode or a variable-speed mode for producing electricity through the conversion of power electronic converters. Among which, the variable-speed generation system is more attractive than the fixed-speed system because of the improvement in energy production and the reduction of the flicker problem. In addition, the turbine in the variable-speed generation system can be operated at the maximum power operating point for various speeds by adjusting the shaft speed optimally to achieve maximum efficiency. All these characteristics are advantages of the variable-speed energy conversion systems. Nevertheless, in order to achieve the maximum power control, some control schemes have been studied.
Many generators of research interests and for practical use in generation are induction machines with wound-rotor or cage-type rotor. Recently, the interest in permanent magnet synchronous generator (PMSG) is increasing. The desirable features of the PMSG are its compact structure, high air-gap flux density, high power density, high torque-to-inertia ratio, and high torque capability. Moreover, compared with an induction generator, a PMSG has the advantage of a higher efficiency, due to the absence of rotor losses and lower no-load current below the rated speed; and its decoupling control performance is much less sensitive to the parameter variations of the generator. Therefore, using a PMSG, a high-performance variable-speed generation system with high efficiency and high controllability can be expected.
There are already many related studies available today. To name a few, one such prior study proposed a power generation system with neural network principles applied for speed estimation and PI control for maximum power extraction, using which the mechanical power of the turbine can be well tracked for both dynamic and steady state, but the power deviation and speed tracking errors are large with transient response for almost 20 seconds. Another prior study proposed the development of a cascaded nonlinear controller for a variable-speed wind turbine equipped with a DFIG, but the rotor speed errors are large with efficiency around 70%. Further, there is a study proposed an advanced hill-climb searching method taking into account the wind-turbine inertia. However, it required an additional intelligent memory method with an on-line training process, and maximum error of power coefficient is about 23%. In addition, another prior study proposed an output maximization control without mechanical sensors such as the speed sensor and position sensor, but the ac power output efficiency is only around 80%. Furthermore, there are three sensorless control methods, which are the wind prediction, fixed voltage scheme for inverter, and current-controlled inverter, presented in is further another prior study, but it is disadvantageous in that: the fixed voltage scheme does not vary with the load to match the maximum power line of the wind turbine generator, and results in low conversion efficiency when the wind speed is above or below the given range attained. Moreover, there are two methods developed in another prior study which are provided to adjust the aerodynamic power: pitch and generator load control, both of which are employed to regulate the operation of the wind turbine, but are disadvantageous in that: the power coefficient deviation is too large.
Therefore, it is in need of a novel hybrid intelligent control system and algorithm for a power generating apparatus, such as a PMSG, capable of optimizing the performance of the power generating apparatus by performing a speed control using a sliding mode controller combined with fuzzy inference mechanism and adaptive algorithm, and also by performing a pitch control upon a turbine coupled to the power generating apparatus using pitch controller embedded with a RBFN algorithm. Moreover, in the sliding mode controller, a switching surface with an integral operation is designed. Operationally, when the sliding mode occurs, the system dynamic behaves as a robust state feedback control system, and in a general sliding mode control, the upper bound of uncertainties, including parameter variations and external mechanical disturbance, must be available. However, the bound of the uncertainties is difficult to obtain in advance for practical applications. Thus, a fuzzy sliding speed controller is investigated to resolve the above difficulty, in which a simple fuzzy inference mechanism is utilized to estimate the upper bound of uncertainties. Furthermore, to reduce the control effort of the sliding mode speed controller, the fuzzy inference mechanism is improved by adapting the center of the membership functions to estimate the optimal bound of uncertainties.
In view of the disadvantages of prior art, the primary object of the present invention is to provide a novel hybrid intelligent control system and method for a power generating apparatus, such as a permanent magnet synchronous generator (PMSG), adapted for enabling a turbine that is coupled to the power generating apparatus to operate at its maximum efficiency by adjusting its blade pitch angle in response to the variation of any input flowing into the turbine, while allowing the speed of the power generating apparatus to be controlled by a fuzzy interference mechanism so as to achieve its maximum power output.
To achieve the above object, the present invention provides a novel hybrid intelligent control system for a power generating apparatus, such as a permanent magnet synchronous generator (PMSG), which comprises: a fuzzy sliding mode speed controller, being embedded with a fuzzy inference mechanism so as to be used for controlling the speed of a power generating apparatus; and a radial basis function network (RBFN) pitch controller, being embedded with an on-line training RBFN so as to be used for controlling the pitch angle of a turbine coupled to the PMSG; wherein the turbine is driven to operate at its maximum efficiency by adjusting its blade pitch angle in response to the variation of a flow input into the turbine, while allowing the speed of the power generating apparatus to be controlled by a fuzzy inference mechanism so as to achieve its maximum power output.
In an embodiment, the present invention provides a novel hybrid intelligent control method for a permanent magnet synchronous generator, which comprises the steps of: using a fuzzy sliding mode speed controller that is embedded with a fuzzy inference mechanism, for controlling the speed of a power generating apparatus; and using a radial basis function network (RBFN) pitch controller, that is embedded with an on-line training RBFN, for controlling the pitch angle of a turbine coupled to the power generating apparatus.
Further scope of applicability of the present application will become more apparent from the detailed description given hereinafter. However, it should be understood that the detailed description and specific examples, while indicating preferred embodiments of the invention, are given by way of illustration only, since various changes and modifications within the spirit and scope of the invention will become apparent to those skilled in the art from this detailed description.
The present invention will become more fully understood from the detailed description given herein below and the accompanying drawings which are given by way of illustration only, and thus are not limitative of the present invention and wherein:
For your esteemed members of reviewing committee to further understand and recognize the fulfilled functions and structural characteristics of the invention, several exemplary embodiments cooperating with detailed description are presented as the follows.
Please refer to
Pm=½ρACp(λ,β)Vω3; (1)
wherein ρ and A are air density and the area swept by blades, respectively;
wherein r is the wind turbine blade radius; and
wherein λi=((λ−0.02β)−1−3×10−3(β3+1)−1)−1
By using (3), the typical Cp versus λ curve is shown in
This equation shows the relationship between the turbine power and turbine speed at maximum power output. When regulating the system under the specification of maximum power, it must be taken into account that turbine power must never be higher than generator rated power. Once generator rated power is reached at rated wind velocity, output power must be limited. For variable-speed wind turbine, a mechanical actuator is usually employed to change the pitch angle of the blades in order to reduce power coefficient and maintain the power at its rated value. For some wind turbines, when working with the maximum power coefficient, rated speed is obtained at a wind velocity lower than that of generator rated power.
Generally, the machine model of a PMSG can be described in the rotor rotating reference frame as following:
vq=Riq+pλq+ωsλd;
vq=Riq+pλq+ωsλd; (5)
and
λq=Lqiq;
λd=Ldid+LmdIfd; (6)
ωs=npωr; (7)
wherein
vd, vq: d, q axis stator voltages
id, iq: d, q axis stator currents
Ld, L: d, q axis stator inductances
λd, λ: d, q axis stator flux linkages
R: stator resistance
ωs: inverter frequency
Ifd: equivalent d-axis magnetizing current
Lmd: d-axis mutual inductance
The electric torque and generator dynamics can be stated as:
Te=3np[LmdIfdiq+(Ld−Lq)idiq]/2. (8)
The configuration of a field-oriented PMSG system is shown in
As shown in
x1(t)=ωopt−ωr(t); and
{dot over (x)}1(t)=−{dot over (ω)}r(t)=−x2(t).
Accordingly, the PMSG system can be written in the following state-space form with
The above equation can be represented as:
{dot over (X)}(t)=AX(t)+BU(t)+D{dot over (T)}m (10)
wherein
and
U(t)={dot over (i)}q*(t).
Consider equation (10) with uncertainties, we have:
{dot over (X)}(t)=(A+ΔA)X(t)+(B+ΔB)U(t)+(D+ΔD){dot over (T)}m. (11)
Moreover, the switching surface with integral operation for the sliding mode speed controller is designed by the following equation:
S(t)=C[X(t)−∫0t(A+BK)X(τ)dτ]=0 (13)
wherein, C is set as a positive constant matrix; and
Based on the developed switching surface, a switching control law which satisfies the hitting condition and guarantees the existence of the sliding mode is then designed. Now a speed controller can be proposed by the following equation:
U(t)=KX(t)−f sgn(S(t); (15)
wherein, sgn(•) is a sign function defined as:
and′
In the general sliding mode control, the upper bound of uncertainties, which include parameter variations and external mechanical disturbance, must be available. However, the bound of the uncertainties is difficult to obtain in advance for practical applications. Therefore, a fuzzy estimation technique is proposed here, in which a fuzzy inference mechanism is used to estimate the upper bound of the lumped uncertainty.
Consequently, by replacing f by Kf in equation (15), the following equation can be obtained:
U(t)=KX(t)−Kfsgn(S(t)); (16)
where Kf is estimated by fuzzy inference mechanism.
Please refer to
Since only three fuzzy subsets, N, Z and P, are defined for S and {dot over (S)}, the fuzzy inference mechanism only contains nine rules defined in Table 1, as following:
For example, Rule 1 is the condition that S is far away from the switching surface and {dot over (S)} is also positive, so a large Kf is required for the sliding mode. Rule 5 implies that S is on the switching surface and {dot over (S)} is zero, so only very small Kf is required for the sliding mode. Similar analysis can be used to explain other fuzzy rules.
Fuzzy output Kf can be calculated by the center of gravity (COG) defuzzifier by the following equation:
wherein υ=[c1, . . . , c9] is the adjustable parameter vector;
is a fired strength vector.
Please refer to
In the input layer of
neti1=xi1(N);
yi1(N)=fi1(neti1(N))=neti1(N); i=1,2. (18)
In the hidden layer, every node performs a Gaussian function. The Gaussian function, a particular example of radial basic functions, is used here as a membership function.
Then,
netj2(N)=−(X−Mj)TΣj(X−Mj);
yj2(N)=fj2(netj2(N))=exp(netj2(N)); j=1, . . . ,9;
wherein
Mj=[m1jm2j . . . mij]T; and (19)
wherein, wj are the connective weight between the hidden and the output layers.
It is noted that the aforesaid three-layer RBFN is a supervised learning and training process. Once the RBFN has been initialized, a supervised learning law 60 of gradient descent is used to train this system. The derivation is the same as that of the back-propagation algorithm. It is employed to adjust the parameters mij, σij, and wj of the RBFN by using the training patterns. By recursive application of the chain rule, the error term for each layer is calculated, and updated. The purpose of supervised learning is to minimize the error function E expressed as following:
E=½(Pw−Pm)2; (21)
where Pw and Pm represent the wind power and the turbine output power.
In the output layer, the weight wj is updated. In this layer, the error term to be propagated is given by:
then, the weight wj is adjusted by the amount
hence, the weight can be updated by the equation:
wj(N+1)=wj(N)+ηwΔwj(N);
wherein, ηw is the learning rate for adjusting the parameter wj.
In the hidden layer, mij and σij are updated. In this layer, the multiplication operation is done in this layer. The adaptive rule for mij is
and, the adaptive rule for σij is:
Thus the updated rules for mij and σij are
mij(k+1)=mij(k)+ηmΔmij;
σij(k+1)=σij(k)+ησΔσij; (27)
Please refer to
To sum up, the present invention provides a novel hybrid intelligent control system and method for a permanent magnet synchronous generator (PMSG), adapted for enabling a wind turbine that is coupled to the PMSG to operate at its maximum efficiency by adjusting its blade pitch angle in response to the variation of wind, while allowing the speed of the PMSG to be controlled by a fuzzy interference mechanism so as to achieve its maximum power output. That is, by the control method of the present invention, the controlled rotor speed, the actual turbine power Pm and the generator power Pe can track the desired Pw closely, and thus not only the maximal wind energy can be captured, but also the system stability can be maintained while allowing the desired performance to be reached even with parameter uncertainties.
With respect to the above description then, it is to be realized that the optimum dimensional relationships for the parts of the invention, to include variations in size, materials, shape, form, function and manner of operation, assembly and use, are deemed readily apparent and obvious to one skilled in the art, and all equivalent relationships to those illustrated in the drawings and described in the specification are intended to be encompassed by the present invention.
Number | Date | Country | Kind |
---|---|---|---|
100135909 A | Oct 2011 | TZ | national |
Number | Name | Date | Kind |
---|---|---|---|
5652485 | Spiegel et al. | Jul 1997 | A |
6711556 | Sepe et al. | Mar 2004 | B1 |
7939961 | Bonnet | May 2011 | B1 |
20100127495 | Egedal et al. | May 2010 | A1 |
20130140819 | Abdallah et al. | Jun 2013 | A1 |
Entry |
---|
Pitch angle control in wind turbines above the rated wind speed by multi-layer perceptron and radial basis function neural networks; Yilmaz et al.; 9 pages. Copyright 2009; printed from Internet on Jan. 27, 2014. |
Dynamic Analysis ofWind Turbine Blades Using Radial Basis Functions; Ming-Hung Hsu; 12 pages; Published Apr. 2011; printed from Internet on Jan. 27, 2014. |
Hybrid Fuzzy Control Strategies for Variable Speed Wind Turbines; published in Automatic Control and Robotics; vol. 10, No. 2, 2011, pp. 205-217; Ivan Ćirić et al., received Nov. 18, 2011, 13 pages. |
Pitch Angle Control of Variable Low Rated Speed Wind Turbine Using Fuzzy Logic Controller; International Journal of Engineering & Technology IJET-IJENS vol. 10 No. 5; A. Musyafa et al.; 4 pages. |
Research on the Intelligent Control Strategy Based on Improved FNNC for Hydraulic Turbine Generating Units; 2009 International Conference on Artificial Intelligence and Computational Intelligence; Shuqing Wang et al.; 5 pages. |
Dynamic control of wind turbines; Kusiak A, et al., Dynamic control of wind turbines, Renewable Energy (2009), doi:10.1016/j.renene.2009.05.022; 8 pages. |
Neural Network-Based Fuzzy Predictive Current Control for Doubly Fed Machine; 2009 IITA International Conference on Control, Automation and Systems Engineering; Zongkai Shao et aL; 4 pages. |
Number | Date | Country | |
---|---|---|---|
20130085621 A1 | Apr 2013 | US |