This invention relates to a distributed generation system for stabilizing a power system by suppressing the voltage fluctuation in the power system and a method of stabilizing the power system.
In a power distribution system with which a distributed generation such as a wind turbine is connected, it is generally necessary to suppress the voltage fluctuation caused in the power distribution system due to the fluctuations in the output of a distributed generation or in a load connected with the power distribution system.
JP-A-2000-333373 discloses a method of compensating the fluctuations in the system voltage by a distributed generation connected with the system. Namely, in this patent document, there is disclosed a method wherein the system voltage and the system current are detected; the reactive current command for the distributed generation is generated on the basis of the detected system voltage and current; and the voltage on the distributed line is maintained constant with the aid of the reactive current command.
Further, JP-A-2002-171667 discloses a system stabilizing technique for suppressing the fluctuations in the voltage of a power distribution system by the use of a static var compensator incorporating IGBTs therein. According to this patent document, the distributed generation connected via a system interconnection line with a trunk system generates active power P and reactive power Q and feed them to the trunk system. Between the trunk system and the distributed generation is connected a self-commutated static var compensator using, for example, IGBTs. The current flowing from the distributed generation to the interconnection line is detected and the voltage is detected at the point of connection between the trunk system and the distributed generation. As a result, the active power P supplied from the distributed generation to the trunk system is detected. Finally, the IGBTs in the self-commutated static var compensator are controlled in such a manner that the fluctuation in the amplitude of the voltage at the point of connection is suppressed. More specifically, the static var compensator produces reactive power Qc such that Qc=−[Q+(R/X)P], where R and X indicate the resistive and reactance components of the impedance of the interconnection line, respectively. They may change depending on the service condition of the interconnection line. Hence, the static var compensator calculates the parameter (R/X) by measuring the interharmonic current resulting from the insertion of an interharmonic voltage.
The output of a distributed generation using natural energy such as a wind turbine or a photovoltaic system varies with time as natural energy fluctuates depending on natural condition. If the distributed generation is connected at a remote end of the power distribution system, the resistance of the associated system connection line becomes large so that the voltage on the associated interconnection line fluctuates in response to the fluctuation of the active power supplied by the distributed generation. Also, in a wind farm or an offshore wind farm, which has appeared recently and been built with a multitude of wind turbines concentrated in a single site, there may be an adverse possibility that the voltage of the power distribution system fluctuates considerably due to the power output of the wind farm fluctuating to a great extent. In order for the distributed generation to be able to generate reactive power that may suppress the system voltage fluctuation, it must be necessary to measure a parameter that depends on both the system itself and the load connected therewith.
The patent document, JP-A-2000-333373, has such problems to be solved as explained below.
(1) Since the detected values of the system voltage and current are used, the distributed generation system operates to compensate for even the voltage fluctuation due to the fluctuation in the load connected with the distributed feeder. This intrinsically unnecessary compensation of the voltage fluctuation due to the load fluctuation gives rise to the generation of large reactive power, which in turn results in an increase in loss and a decrease in the power generation efficiency in the distributed generation system.
(2) Since the detected values of the system voltage and current are used, the values of the current and the voltage of different distributed generation connected with the distributed feeder are also detected. Consequently, when a plurality of distributed generation serves to control the voltage on the distributed feeder so as to maintain it as a predetermined value, control interference may occur among those distributed generation.
On the other hand, according to JP-A-2002-171667, the insertion of interharmonic voltage may incur a large disturbance in the power system if there are involved a plurality of distributed generations. There must also be attained a requirement that the system voltage fluctuation be suppressed without more than one distributed generations interfering with one another.
An object of this invention is to suppress the voltage fluctuation in the power system resulting from the provision of the distributed generation by means of an apparatus or facility of a small power capacity.
Another object of this invention is to provide a distributed generation system wherein control interference hardly occurs among a plurality of distributed generations.
Still another object of this invention is to provide a distributed generation which hardly causes disturbance in the power system.
In one aspect of this invention, a control means is provided which detects the output of a distributed generation and controls the distributed generation according to the detected output so as to compensate for the fluctuating component of the voltage at the point of connection attributable to the output of the distributed generation.
More specifically, the time-varying parameter α(t)=R/X, or in other words, the ratio P/Q (or ΔP/Q) of active power P (or its fluctuating component ΔP) to reactive power Q is estimated on the basis of both the detected value of the fluctuating component ΔP of the active power P generated by the distributed generation itself and the detected value of the voltage fluctuation ΔV resulting from the fluctuating component ΔP and developed at the point of connection, and then reactive power Q given by the expression Q=−α(t)P (or Q=−α(t) ΔP) is generated by the distributed generation.
In another aspect of this invention, the output of the distributed generation is detected so as to compensate for the fluctuating component of the voltage at the point of connection and a controller is provided which controls the static var compensator (SVC) placed near the distributed generation, on the basis of the detected output.
In still another aspect of this invention, reactive power is generated in proportion to the fluctuation of active power originating in the distributed generation itself and the proportional coefficient α(t)=R/X, or in other words, the ratio P/Q (or ΔP/Q) of active power P (or its fluctuating component ΔP) to reactive power Q is dynamically varied depending on the measured values.
Other objects and features of this invention will be clarified in the following description of the embodiments of this invention.
In the following are described embodiments of this invention with reference to the attached drawings, wherein the distributed generation or the static var compensator placed near it is controlled by obtaining the control parameter for suppressing the system voltage fluctuation caused by the distributed generation itself, on the basis of the output condition of the distributed generation.
In this embodiment, a wind turbine generator system serves as the distributed generator 1. The distributed generator 1 comprises a power generator 11, a power converter 12, a controller 13, a voltage detector 14 and a current detector 15. The wind energy received by the blades 16 of the wind turbine generator system is converted to three-phase alternating electric energy by means of the generator 11. The electric energy is in turn fed to the power converter 12. For example, a permanent-magnet generator is used as the generator 11. On the basis of the pitch angle of the blades 16 and the wind velocity, a wind turbine controller 17 calculates the power command P* for the maximum power that the wind turbine system can generate. The power command P* is then fed to the controller 13. The power converter 12 mainly comprises an AC/DC converter 121, a DC/AC converter 122 and a DC-link capacitor (smoothing capacitor) 123. The converters 121 and 122 are built with, for example, semiconductor switching elements such as IGBTs. The AC/DC converter 121 converts the AC power generated by the generator 11 to corresponding DC power, which is in turn fed to the DC-link capacitor 123. The DC/AC converter 122 converts the DC power stored in the DC-link capacitor 123 to corresponding AC power. Accordingly, the corresponding active power P following the power command P* is then fed to the power system. The controller 13 produces a gate pulse signal G* for controlling the power controller 12 on the basis of the voltage value V and the current value I obtained by the voltage detector 14 and the current detector 15, respectively, and the power command P* produced by the wind turbine controller 17.
P=Id×Vd+Iq×Vq (1)
Vp=√{square root over ( )}(Vd2+Vq2) (2)
In these expressions (1) and (2), Id and Iq are the d-axis and q-axis components, respectively, obtained through the coordinate transformation of the current value I by using a rotational coordinate system whereas Vd and Vq the d-axis and q-axis components, respectively, obtained through the coordinate transformation of the voltage value V by using the rotational coordinate system.
The power/voltage calculator 131 includes a phase detector (not shown) which detects the phase signals cos(ωt) and sin(ωt) that follow the U-phase of the system voltage. When the phase signal cos(ωt) coincides with the U-phase of the system voltage, the quantities Id, Iq, Vd and Vq are calculated by the following expressions (3) and (4).
In the expressions (3) and (4), Iu, Iv and Iw are the U-phase, V-phase and W-phase components of the three-phase current detected by the current detector 15 whereas Vu, Vv and Vw are the U-phase, V-phase and W-phase components of the three-phase voltage detected by the voltage detector 14.
Fluctuation detectors 132 and 133 respectively receive the active power P and the voltage amplitude value Vp, and correspondingly extract the fluctuating component ΔP of the active power P and the fluctuating component ΔVp of the voltage amplitude. The extracted fluctuating components ΔP and ΔVp, and the calculated active power P are fed to a reactive power command calculator 134. The reactive power command calculator 134 produces a reactive power command Q*. A power converter 135 derives a gate pulse signal G* from the active power command P* and the reactive power command Q*. The gate pulse signal G* is fed to the power converter 12 which controls the output power of the distributed generation.
The structure and the operation of the fluctuation detector 132 is now described with reference to
P−PLF=ΔP (5)
Namely, since the output PLF of the low-pass filter that is the low frequency component of the active power P is eliminated from the active power P, the component ΔP contains only high frequency component. That is, the fluctuation detector 132 has the characteristic of a high-pass filter.
The fluctuation detector 132 is now described in terms of its transfer function. It is assumed that the low-pass filter LPF is represented as a first order lag element and that the cutoff frequency of the low-pass filter LPF is fc [rad/s]. Then, the transfer function of the fluctuation detector 132 is given by the following expression (6).
Description is now made of how the reactive power command Q* is generated.
The period (the reciprocal of fluctuating frequency fL) of the voltage fluctuation caused by the regular load 4 is generally long and the fluctuating frequency fL is lower than the cutoff frequency fc of the fluctuation detector 132 or 133, so that the regular load 4 contributes little to the voltage fluctuation ΔVp. On the other hand, the voltage fluctuation representing the fluctuating component ΔP of the active power P generated by the distributed generation 1 contributes much to the voltage fluctuation ΔVp. When the distributed generation 1 feeds both active power P and reactive power Q to the power system 3, the fluctuating component ΔVp1 of the system voltage amplitude Vp associated with the active power P and the fluctuating component ΔVp2 of the system voltage amplitude Vp associated with reactive power Q, are respectively given by the following expressions (7) and (8).
ΔVp1≈(R12/Vp)P (7)
ΔVp2≈(X12/Vp)Q (8)
In these expressions, R12 and X12 are respectively the resistive and reactive components of the composite impedance consisting of the impedance of the interconnection line 2 and that of the regular load 4, as viewed from the side of the distributed generation 1. In order for the distributed generation 1 to be able to control the voltage fluctuation ΔVp1 by using its reactive power output, it suffices to produce such reactive power command Q* as given by the following expression (9).
ΔVp1+ΔVp2=Expression (7)+Expression (8)=0 ′ Q*=−(R12/X12)P (9)
Here, the expressions (7) and (8) are approximating expressions used when current is small. The expression (9), when used for large current, is transformed as expressed as follows.
Now, the parameter α(t) is defined as given by the following expression (11).
The regular load 4 varies with time and therefore the coefficient α(t) derived from the composite impedance obtained with respect to the interconnection line 2 and the regular load 4 also varies with time. In order to generate such suitable reactive power as to suppress the system voltage fluctuation, it is necessary to measure the parameter α(t) and update it continuously.
Q*=−α(t)P=−{∫(ΔVp·ΔP)dt}P (12)
As the magnitude of the parameter α(t) approaches a suitable value, the system voltage fluctuation is suppressed, that is, the system voltage fluctuating component ΔVp approaches zero so that the integrated result converges to an optimal value defined by the expression (11).
Description is now made of the operation of the reactive power command calculator 134 shown in
The above described modes of variation in the parameter α(t) occur in ideal cases where the system voltage amplitude fluctuation ΔVp is supposed to result only from the active power fluctuation ΔP of the distributed generation 1. In any practical case, the voltage fluctuation ΔV includes a fluctuating component originating in the load fluctuation. Even in such a case, however, by integrating the product ΔP·ΔVp by the integrator 1341, the contribution of that particular voltage fluctuation ΔVp originating in any equipment other than the distributed generation 1 which has no correlation with the active power fluctuation ΔP of the distributed generation 1, is offset. The reason for this is as follows. If ΔP and ΔVp are not correlated with each other, the product ΔP·ΔVp, when integrated, approximately vanishes since they oscillate taking positive and negative values. Consequently, α(t) converges to an appropriate value as time lapses.
The active power P generated by the distributed generation 1 includes a fluctuating component having a long oscillation period and a fluctuating component having a short oscillation period. The fluctuation in the wind velocity is the main contribution to such fluctuations. Another such contribution is the short period component resulting from the “tower shadow effect”. The tower shadow effect is a phenomenon in which each of the blades 16 of a wind turbine, when it comes to the position parallel to the tower, receives less wind power than it is in the position unparallel to the tower since the wind course is obstructed by the tower. This phenomenon naturally causes a fluctuation in the generated active power. Since the rotational frequency of the wind turbine blades 16 is usually 1 to 3 Hz and an ordinary wind turbine has three blades, then the active power fluctuation due to the tower shadow effect has a frequency of nearly 3 Hz. In order to detect this component originating in the tower shadow effect, the low-pass filters 1321 and 1331 may be so designed as to have a cutoff frequency fc of a few Hz or lower.
In the foregoing, this invention has been described as applied to a power generation system connected with a power system via a power converter but it may also be applied to other distributed generation systems which can generate active reactive powers.
With this first embodiment of the invention, the control parameter for suppressing the voltage fluctuation caused due to the fluctuation in the system impedance as viewed from the distributed generation 1 can be so corrected as to assume an appropriate value, on the basis of the active power P, its fluctuating component ΔP, both generated by the distributed generation 1, and the voltage fluctuation ΔVp. Besides, there is no need of a static var compensator and a special apparatus for obtaining impedance.
In addition, the distributed generation generates the reactive power in proportion to the active power which it also generates; the proportional coefficient α is continuously varied by estimating the system impedance; and only the voltage fluctuation resulting from the active power fluctuation which the distributed generation develops, can be suppressed without being affected by the power fluctuations in other equipment connected with the main system. Further, since the generated reactive power has only to suppress the voltage fluctuation in the distributed generation itself, the generated reactive power may be of relatively small value.
Furthermore, even in a case where a plurality of distributed generations are installed, the influence by any voltage fluctuating component having no correlation with the power generated by a particular one of the distributed generations can be decreased by detecting the active power fluctuation ΔP and the voltage fluctuating component ΔVp, both developed in that particular distributed generation. Consequently, interference in control for suppressing voltage fluctuation among the plural distributed generations can be prevented.
The voltage amplitude Vp at the point 5 of connection fluctuates in response to the fluctuation ΔP of the active power P generated by the distributed generation 1. Apparatuses belonging to the power system, such as SVRs (series voltage regulators), transformers, power generators, SVCs (static var compensators), etc. can control the long period component of the voltage amplitude fluctuation in such a manner that the extent of that fluctuation may fall within a predetermined range. In this case, therefore, the distributed generation has only to suppress the short period component of the voltage amplitude fluctuation alone which the voltage regulating apparatuses in the power system cannot follow. Namely, this second embodiment differs from the first embodiment in that the distributed generation 1 generates only the reactive power in proportion to the short period fluctuating component of the active power.
The concrete structure of this embodiment is same as the first embodiment as far as
Q*=−α(t)ΔP (13)
In this way, the distributed generation 1 suppresses only the short period component of the voltage fluctuation.
According to the second embodiment, it suffices to generate reactive power in proportion only to the fluctuating component of active power and therefore as compared with a case where it is necessary to produce reactive power in proportion to active power as a whole, the magnitude of needed reactive power may be further reduced. Moreover, the ratio of active power to reactive power to be generated in proportion to active power can be derived from voltage and power and be always maintained at a predetermined value. Since the ratio can be very precisely maintained at such a predetermined value, the magnitude of the reactive power generated by the distributed generation 1 can be reduced with the result that the capacities of apparatuses associated with the distributed generation 1 can also be reduced.
It is also possible to add a steady-state offset component Qo to the reactive power command Q* as given by the following expression (13′).
Q*=−α(t)ΔP+Qo (13′)
The result obtained from using this expression (13′) provides the same effect of suppressing voltage fluctuation as in the case where the expression (13) is used.
To begin with, to obtain the parameter α(t), let a selector 1342 choose zero (0) as its output and the reactive power command calculator 134b issues a zero reactive power command, i.e. Q*=0. Under this condition, the distributed generation 1 starts operating with its output reactive power Q equal to 0. Now, the system voltage fluctuation ΔVp1 due to the active power fluctuation ΔP is fed to a rotational coordinate transformer 1343 shown in
The parameter calculator 1344 receives, besides the d-axis component ΔVd and the q-axis component ΔVq of the system voltage fluctuation ΔVp1, ΔP as its input and then calculates the parameter α(t) on the basis of ΔP, ΔVd and ΔVq. The obtained parameter α(t) is held in a sample & hold circuit 1345 until the time of next calculation is reached. The relationships among ΔP, ΔVd and ΔVq are represented by the following expressions (14) and (15).
ΔVd=(R12/Vp0)ΔP (14)
ΔVq=−(X12/Vp0)ΔP (15)
, where Vp0 is the reference voltage of the power system.
α=−β/γ=(R12/X12) (16)
As a result of the foregoing manipulation, a is obtained and then held in the sample & hold circuit 1345 until the next time of calculation; the output of the selector 1342 is switched to ΔP; and the product of P and α, or of ΔP and α, can be produced as a reactive power command Q*, as described with the first (
In this third embodiment of the invention shown in
According to this third embodiment of the invention, the parameter α can be obtained on the basis of the d-axis and the q-axis components of the voltage fluctuation ΔV so that almost the same effect can be obtained as obtained with the first and the second embodiment.
Each of individual distributed generations 101, 102, 103, . . . 10i, . . . is of the same structure and function as in the first, second or third embodiment. Namely, the ith distributed generation produces its respective control parameter αi(t) on the basis of the active power fluctuation ΔPi developed by its own and the corresponding system voltage fluctuation ΔVpi. The procedure for obtaining the control parameter αi(t) is similar to that employed in the first through third embodiments. Description is made here in reference to the first embodiment.
In order to suppress the system voltage fluctuation, the ith distributed generation 10i produces reactive power such that Qi=−αi(t)Pi, where Pi is the active power generated by the ith distributed generation 10i. If such a procedure as used in the second embodiment is employed, the produced reactive power will be changed in such a manner that Qi=−αi(t)ΔPi. Since the parameter αi(t) is obtained in response to the voltage fluctuation ΔVp1i originating in the active power fluctuation ΔPi developed in the ith distributed generation 10i as described in the first embodiment, the parameter αi(t) for suppressing the system voltage fluctuation can be properly obtained even though plural distributed generations are connected with the main power distribution system.
With this fourth embodiment, each distributed generation 10i has only to suppress the voltage fluctuation ΔVp1i due to the active power fluctuation ΔPi developed in the distributed generation 10i itself and therefore the overall system voltage fluctuation can be suppressed without any interference in control among the individual distributed generations.
As shown in
The static var compensator 6 detects the voltage and the current by means of the voltage detector 14a and the current detector 15a at the point 5 of connection, and further detects and measures the active power fluctuation ΔP and the voltage fluctuation ΔVp arising therefrom, developed between the largely fluctuating load 22 and the point 5 of connection. The measured values are sent out to the next stage of calculation. The static var compensator 6 calculates the control parameter α(t) from the measured values according to the same procedure as described in the first through third embodiment. Consequently, reactive power which is Q=−α(t)P or Q=−α(t)ΔP is supplied to the power system to suppress the system voltage fluctuation.
According to this fifth embodiment of the invention, the procedures as described with the first through third embodiments for obtaining the control parameter to suppress the system voltage fluctuation are applied to the static var compensator 6 so that the static var compensator 6 can produce the reactive power to suppress the voltage fluctuation originating in the distributed generation 22 or largely fluctuating load 22. As a result, the capacity of the static var compensator 6 can be reduced to the minimum one that it requires. Moreover, according to this embodiment, since no interharmonic voltages are inserted into the main system, the quality of power in the main system is by no means degraded.
As described above, in a preferred embodiment of this invention, the distributed generation itself compensates for the voltage fluctuation it develops at the point of connection, thereby effectively suppressing the system voltage fluctuation with a relatively small power output.
In another preferred embodiment of this invention, the voltage fluctuation which the distributed generation itself develops at the point of connection can be compensated by controlling the static var compensator (SVC) placed near the distributed generation, whereby the system voltage fluctuation can be effectively suppressed with a relatively small power output.
In yet another embodiment of this invention, the output level of the reactive power to suppress the voltage fluctuation can be determined online, whereby the system voltage fluctuation due to the active power fluctuation can be effectively suppressed.
In still another embodiment of this invention, the required capacity of the distributed generation can still be decreased when it is necessary to generate that reactive power alone which suppresses the voltage fluctuation component having a short period of fluctuation.
In a further embodiment of this invention, the reactive power is generated in proportion to the active power generated by the distributed generation so that the distributed generation can effectively suppress the voltage fluctuation which it develops, without being affected by the power fluctuation caused by other machinery.
It should be further understood by those skilled in the art that although the foregoing description has been made on embodiments of the invention, the invention is not limited thereto and various changes and modifications may be made without departing from the spirit of the invention and the scope of the appended claims.
Number | Date | Country | Kind |
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2005-312548 | Oct 2005 | JP | national |