US20030081434A1 - Apparatus and method of sensorless control for synchronous generator - Google Patents
Apparatus and method of sensorless control for synchronous generator Download PDFInfo
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- US20030081434A1 US20030081434A1 US10/100,065 US10006502A US2003081434A1 US 20030081434 A1 US20030081434 A1 US 20030081434A1 US 10006502 A US10006502 A US 10006502A US 2003081434 A1 US2003081434 A1 US 2003081434A1
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- 230000001360 synchronised effect Effects 0.000 title claims abstract description 135
- 238000000034 method Methods 0.000 title claims description 8
- 230000010354 integration Effects 0.000 claims description 8
- 230000003247 decreasing effect Effects 0.000 description 4
- 238000010586 diagram Methods 0.000 description 4
- 230000001419 dependent effect Effects 0.000 description 2
- 239000003990 capacitor Substances 0.000 description 1
- 238000001514 detection method Methods 0.000 description 1
- 238000012986 modification Methods 0.000 description 1
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Classifications
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P9/00—Arrangements for controlling electric generators for the purpose of obtaining a desired output
- H02P9/14—Arrangements for controlling electric generators for the purpose of obtaining a desired output by variation of field
- H02P9/26—Arrangements for controlling electric generators for the purpose of obtaining a desired output by variation of field using discharge tubes or semiconductor devices
- H02P9/30—Arrangements for controlling electric generators for the purpose of obtaining a desired output by variation of field using discharge tubes or semiconductor devices using semiconductor devices
- H02P9/305—Arrangements for controlling electric generators for the purpose of obtaining a desired output by variation of field using discharge tubes or semiconductor devices using semiconductor devices controlling voltage
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P21/00—Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
- H02P21/14—Estimation or adaptation of machine parameters, e.g. flux, current or voltage
- H02P21/18—Estimation of position or speed
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P21/00—Arrangements or methods for the control of electric machines by vector control, e.g. by control of field orientation
- H02P21/24—Vector control not involving the use of rotor position or rotor speed sensors
- H02P21/26—Rotor flux based control
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P2201/00—Indexing scheme relating to controlling arrangements characterised by the converter used
- H02P2201/03—AC-DC converter stage controlled to provide a defined DC link voltage
Definitions
- the present invention relates to apparatuses and methods for controlling a synchronous generator and more particular, to an apparatus and method for controlling a synchronous generator without using a sensor for detecting the position of a rotor in the generator.
- a control system of a converter for driving the synchronous machine generally includes a speed control system and a current control system.
- the speed control system receives a difference between a detected speed value and a speed command, and generates a current command according to the speed command.
- the current control system receives a difference between a detected current value and a current command, and generates a voltage command to the converter according to the current command.
- an apparatus for controlling a synchronous generator which comprises a converter connected to a stator of the synchronous generator and an inverter connected to the converter and also connected to a power system.
- the converter converts a power of a variable frequency generated by the synchronous generator to a D.C. power
- the inverter converts the D.C. power to an A.C. power of a fixed frequency.
- the converter includes a voltage detector for detecting a terminal voltage of the stator of the synchronous generator, a current detector for detecting a current flowing through the stator of the synchronous generator, and a rotor position estimating means for estimating a rotor position of the synchronous generator from a voltage detected by the voltage detector and a current detected by the current detector.
- the rotor position estimating means calculates a d-axis component of a voltage induced in the synchronous generator in a d-q axis coordinate system determined by a rotor position during estimation and controls the d-axis component of the induced voltage to zero to estimate the rotor position.
- the rotor position estimating means includes an active power detector for detecting a active power of an output of the synchronous generator and a reactive power detector for detecting a reactive power of the output of the synchronous generator or a terminal voltage detector for detecting an effective value of the terminal voltage of the stator of the synchronous generator
- the rotor position estimating means also includes an active power controller for controlling the active power of the output of the synchronous generator with use of the active power value detected by the active power detector and an active power controller for controlling the reactive power of the output of the synchronous generator or a terminal voltage controller for controlling the terminal voltage of the synchronous generator with use of the terminal voltage value detected by the terminal voltage detector.
- the active power controller adjusts a q-axis current command on the d-q axis coordinate system determined by the rotor position estimating means to control the active power of the synchronous generator.
- the reactive power controller or the terminal voltage controller adjusts a d-axis current command on the d-q axis coordinate system determined by the rotor position estimating means to control the reactive power or terminal voltage of the synchronous generator.
- FIG. 1 shows an arrangement of a power generating system to which the present invention is applied
- FIG. 2 is an equivalent circuit of a synchronous generator
- FIG. 3 shows details of an induced voltage estimator
- FIG. 4 is a vector diagram (Ed>0) of the synchronous generator
- FIG. 5 is a vector diagram (Ed ⁇ 0) of the synchronous generator
- FIG. 6 is an arrangement of the power generating system to which the present invention is applied for control of power factor
- FIG. 7 is an arrangement of the power generating system to which the present invention is applied, for control of terminal voltage.
- FIG. 1 shows a general arrangement of an embodiment of the present invention.
- a converter 2 is connected to a stator of a synchronous generator 1 and also D.C. connected to an inverter 4 via a D.C. capacitor 3 .
- the inverter 4 is connected to a power system via a transformer 5 for system interconnection.
- a voltage detector 6 and a current detector 7 are provided between the synchronous generator 1 and converter 2 , the voltage detector 6 detecting a terminal voltage across the synchronous generator 1 , the current detector 7 detecting a current flowing through a stator of the synchronous generator 1 .
- the values of the detected voltage and current are converted to two components of d- and q-axis components by a three-phase/two-phase converter 8 .
- the active power detector 9 detects a active power as an output of the synchronous generator 1 on the basis of two axis component signals as outputs of the three-phase/two-phase converter 8 .
- a reactive power detector 10 detects a reactive power of the output of the synchronous generator 1 on the basis of the two axis component signals as the outputs of the three-phase/two-phase converter 8 .
- An induced voltage estimator 11 estimates a voltage induced in the synchronous generator 1 on the basis of the two axis component signals as the outputs of the three-phase/two-phase converter 8 as well as an estimated angular velocity value as the output of an angular velocity estimator 12 .
- the induced voltage of the synchronous generator 1 can be found by correcting a voltage drop caused by the resistive component and synchronous reactance of the synchronous generator 1 from the terminal voltage of the synchronous generator 1 .
- the induced voltage estimator 11 outputs an d-axis component in the estimated induced voltage.
- An input of the angular velocity estimator 12 is a difference between the d-axis component of the estimated induced voltage as the output of the induced voltage estimator 11 and zero; while an output of the angular velocity estimator 12 is an estimated angular velocity value.
- the angular velocity estimator 12 forms a proportional integration control system.
- An output of the angular velocity estimator 12 is limited by a limiter, the upper and lower limit values of the limiter being determined by an operating speed range of the synchronous generator 1 . By providing the limiter, the estimated angular velocity value of the output of the angular velocity estimator 12 can be prevented from being out of the operating speed range.
- An input of a rotor position estimator 13 is the estimated angular velocity value as the output of the angular velocity estimator 12 , while an output thereof is an estimated rotor position value.
- the rotor position estimator constitutes an integrator.
- a two-phase/three-phase converter 14 performs its converting operation on the basis of an estimated rotor position value as the output of the rotor position estimator 13 .
- Equation (1) which is given below is satisfied, where reference symbol E denotes an induced voltage, V denotes the terminal voltage of the generator, ⁇ denotes an angular velocity, L denotes a synchronous reactance, and I denotes a generator current.
- Equation (1) is developed in a d-q axis coordinate system.
- Ed denotes a d-axis component of the induced voltage E
- E-q denotes a q-axis component of the voltage E
- Vd denotes a d-axis component of the generator terminal voltage V
- Vq denotes a q-axis component of the voltage V
- Id denotes a d-axis component of the generator current I
- Iq denotes a q-axis component of the current I
- the induced voltage estimator 11 Since the induced voltage estimator 11 outputs the d-axis component of the induced voltage, it is only required to calculate Ed in Equation (2).
- FIG. 3 shows details of the induced voltage estimator 11 .
- the estimated value of the rotor position leads an actual rotor position with respect to phase. Due to Ed>0, An input to the angular velocity estimator 12 has a negative value and the angular velocity estimator 12 forms a proportional integration control system, with the result that an estimated angular velocity value as the output of the angular velocity estimator 12 is decreased. Since the rotor position estimator 13 constitutes an integrator, the decrease of the estimated angular velocity value as the input of the estimator 13 causes a drop of an increase rate in the estimated rotor position value as the output of the estimator 13 . As a result, a phase difference between the actual d-q axes and estimated d-q axes is decreased to find a phase coincidence therebetween.
- the rotor position of the synchronous generator 1 can be estimated.
- the need for calculating a shift angle in the estimated rotor position value can be eliminated and the rotor position can be estimated with a simple arrangement.
- An input to a rotational speed controller 15 is a difference between an estimated angular velocity value as the output of the angular velocity estimator 12 and a angular velocity command, and an output of the controller 15 becomes a active power command.
- the rotational speed controller 15 forms, for example, a proportional integration control system and the angular velocity of the synchronous generator 1 is larger than the angular velocity command, the output of the rotational speed controller 15 becomes large and the active power of the output of the synchronous generator 1 becomes also large.
- An input to a active power controller 16 is a difference between the active power command of the output of the rotational speed controller 15 and the active power value detected by the active power detector 9 , while an output of the controller 16 is a active part of the current command to the converter 2 .
- An input to a reactive power controller 17 is a difference between a reactive power command provided externally and the detected reactive power value as the output of the reactive power detector 10 , while an output of the controller 17 is a reactive part of the current command to the converter 2 .
- the active power controller 16 and reactive power controller 17 both form, e.g., a proportional integration control system, and the current command to the converter 2 is determined so that the difference between the active power command and detected active power value as well as the difference between the reactive power command and detected reactive power value become both zero.
- Inputs to a current controller 18 are a detected current value of the two axis components as the outputs of the three-phase/two-phase converter 8 , a active part of the current command of the output of the active power controller 16 to be sent to the converter 2 , and a reactive part of the current command of the output of the reactive power controller 17 to be sent to the converter 2 ; while an output of the controller 18 is an output voltage command to the converter 2 .
- the current controller 18 forms, e.g., a proportional integration control system, and the output voltage command to the converter 2 is determined so that a difference between the detected current value and current command becomes zero. Since the output voltage command of the output of the current controller 18 to the converter 2 is of two axis components, the output voltage command is converted by the two-phase/three-phase converter 14 to a three-phase voltage command.
- a pulse generator 19 outputs a gate pulse signal to the converter 2 in a pulse width modulation (PWM) scheme on the basis of a three-phase output voltage command of an output of the two-phase/three-phase converter 14 to be sent to the converter 2 .
- the converter 2 receives the gate pulse signal, a semiconductor switching element such as an insulated gate bipolar transistor (IGBT) performs its switching operation at a high speed, and the converter 2 outputs a voltage corresponding to a command.
- a semiconductor switching element such as an insulated gate bipolar transistor (IGBT) performs its switching operation at a high speed
- the rotational speed of the synchronous generator 1 and the active and reactive powers of the output of the synchronous generator 1 can be controlled.
- the generator can produce a stable output.
- the active power detector 9 and reactive power detector 10 solve Equations (4) and (5), where P and Q denote detected active and reactive power values in the output of the synchronous generator 1 , Vd and Vq denote d- and q-axis components of the terminal voltage of the synchronous generator 1 , and Id and Iq denote d- and q-axis components of a current flowing through the stator of the synchronous generator 1 respectively.
- Equations (6) and (13) which are given in the following.
- ⁇ denotes an estimated rotor position value of the output of the rotor position estimator 13
- VU, VV and VW denote three phase components of the terminal voltage of the synchronous generator 1
- IU, IV and IW denote three phase components of a current flowing through the stator of the synchronous generator 1
- V ⁇ and V ⁇ denote ⁇ - and ⁇ -axis components of the terminal voltage of the synchronous generator 1
- I ⁇ and I ⁇ denote ⁇ - and ⁇ -axis components of a current flowing through the stator of the synchronous generator 1 , respectively.
- An ⁇ - ⁇ axis coordinate system is a coordinate system of two axes fixed to the stator of the synchronous generator 1 .
- the three-phase/two-phase converter 8 calculates to convert three phase detected values to values in the ⁇ - ⁇ axis coordinate system with use of Equations (6) to (9) and further to convert them to values in the d-q axis coordinate system with use of Equations (10) to (13).
- V ⁇ 2/3 ⁇ ( VU ⁇ VV /2 ⁇ VW /2) (6)
- V ⁇ 2/3 ⁇ ( ⁇ square root ⁇ square root over (3/2) ⁇ VV ⁇ square root ⁇ ⁇ square root over (3/2) ⁇ VW ) (7)
- Vd cos ⁇ V ⁇ +sin ⁇ V ⁇ (10)
- Vq ⁇ sin ⁇ V ⁇ +cos ⁇ V ⁇ (11)
- Equation (13) is substituted into Equations (4) and (5) with use of Equation (10), Equations (14) and (15) which follow are satisfied.
- Equations (14) and (15) P and Q can be found from V ⁇ and V ⁇ and from I ⁇ and I ⁇ . Since V ⁇ and V ⁇ and I ⁇ and I ⁇ are independent of ⁇ from Equation (6) and from Equation (9), further, it will be seen that P and Q are independent of ⁇ .
- the active and reactive power detectors 9 and 10 can correctly detect active and reactive powers of the output of the synchronous generator 1 .
- the active and reactive power controllers 16 and 17 can control the active and reactive powers to approach their commands.
- the active and reactive power controllers 16 and 17 determine the current command in such a manner as to correct the error.
- the converter 2 can be accurately controlled.
- FIG. 6 Next an embodiment when the power factor of the synchronous generator 1 is controlled is shown in FIG. 6.
- the power factor of the synchronous generator 1 can be controlled. Since the power factor of the synchronous generator 1 can be controlled by adjusting a ratio between the active and reactive powers of the output of the synchronous generator 1 , its reactive power command can be given by multiplying its active power command by a gain.
- Inputs to a gain setter 20 are the active power command as the output of the rotational speed controller 15 and the estimated angular velocity value as the output of the angular velocity estimator 12 ; while an output of the gain setter 20 is the reactive power command to the converter 2 .
- the gain setter 20 adjusts the gain to be multiplied by the active power command according to the estimated angular velocity value and outputs the value of multiplication between the adjusted gain and active power command as the reactive power command.
- the gain setter 20 adjusts the gain in such a manner that the induced voltage and current of the synchronous generator 1 coincides with each other in their phase. In this way, such gain adjustment enables operation of the synchronous generator 1 with a high efficiency and with a small generator current in a low rotational speed range of the generator 1 .
- the gain setter 20 adjusts the gain in such a manner that the current of the synchronous generator 1 lags the induced voltage of the synchronous generator with respect to phase.
- the gain is adjusted in this way, the terminal voltage of the synchronous generator 1 can be made low and the synchronous generator 1 can be operated in a high rotational speed range of the generator 1 with an increase in the terminal voltage of the generator 1 being suppressed.
- the synchronous generator 1 can be operated with a high efficiency and the increase of the terminal voltage of the generator 1 can be suppressed.
- the terminal voltage of the synchronous generator 1 can be directly controlled.
- An embodiment when the terminal voltage of the synchronous generator 1 is controlled is shown in FIG. 7.
- the embodiment of FIG. 7 is basically the same arrangement as that of the embodiment of FIG. 1, except that the reactive power detector 10 in FIG. 1 is connected to a terminal voltage detector 21 and the reactive power controller 17 is changed to a terminal voltage controller 22 .
- the terminal voltage detector 21 detects the effective value of the terminal voltage of the synchronous generator 1 on the basis of two axis component signals as the outputs of the three-phase/two-phase converter 8 .
- An input to the terminal voltage controller 22 is a difference between a terminal voltage command provided externally and a detected terminal voltage value as the output of the terminal voltage detector 21 , while the output of the terminal voltage controller 22 is a reactive part of the current command to the converter 2 .
- the terminal voltage controller 22 which forms, e.g., a proportional integration control system, determines a reactive part of the current command to the converter 2 in such a manner that the difference between the terminal voltage command and detected terminal voltage value becomes zero. Adjustment of the reactive part of the current command to the converter 2 enables adjustment of the power factor of the synchronous generator 1 and enables control of the terminal voltage of the synchronous generator 1 .
- the terminal voltage detector 21 performs its calculation in accordance with Equation 16, where Vt denotes a detected value of the terminal voltage of the synchronous generator 1 , and Vd and Vq denote d- and q-axis components of the terminal voltage of the generator 1 respectively.
- Vt ⁇ square root ⁇ square root over ((3/2)) ⁇ square root ⁇ square root over (( Vd ⁇ Vd+Vq ⁇ Vq )) ⁇ (16)
- Equation (17) Substituting Equations (10) and (11) into Equation (16) satisfies Equation (17).
- Vt ⁇ square root ⁇ square root over ((3/2)) ⁇ square root ⁇ square root over (( V ⁇ V ⁇ +V ⁇ V ⁇ )) ⁇ (17)
- Equation (17) Vt is found from V ⁇ and V ⁇ . It will also be seen from Equations (6) and (7) that, since there is V ⁇ and V ⁇ are not dependent on ⁇ , Vt is not dependent on ⁇ . From the above, it will be appreciated that, even when the estimated rotor position value contains an error, the terminal voltage detector 21 can correctly detect the effective value of the terminal voltage of the synchronous generator 1 . When the detector 21 can correctly the effective value of the terminal voltage of the synchronous generator 1 , the terminal voltage controller 22 can control the terminal voltage to approach its command. Thus even when the estimated rotor position value contains an error, the terminal voltage controller determines the reactive part of the current command in such a manner as to correct the error amount. For this reason, even when the estimated rotor position value contains an error, the converter 2 can be accurately controlled.
- the apparatus can be made small in size without using a rotor position detecting sensor by driving the synchronous generator under the simple sensorless control. Further, the converter can be accurately controlled independently of an error included in the estimated rotor position value. Furthermore, the generator can produce a stable output by controlling the active power. In addition, the synchronous generator can be operated with a high efficiency or the terminal voltage of the synchronous generator can be controlled by controlling the reactive power.
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Abstract
An apparatus for controlling a synchronous generator having a converter. A voltage detector detects a terminal voltage of a stator of the synchronous generator. A current detector detects a current flowing through the stator. A rotor position estimating part estimates a rotor position of the synchronous generator from the detected voltage and current. An active power detector detects a active power of the synchronous generator. A reactive power detector detects a reactive power of the synchronous generator or a terminal voltage detector detects an effective value of a terminal voltage of the stator. An active power controller adjusts a q-axis current command to control the active power, and a reactive power controller or terminal voltage controller adjusts a d-axis current command to control the reactive power or terminal voltage.
Description
- The present invention relates to apparatuses and methods for controlling a synchronous generator and more particular, to an apparatus and method for controlling a synchronous generator without using a sensor for detecting the position of a rotor in the generator.
- In order to drive a synchronous machine, a sensor for detecting the position of a rotor is required in the prior art machine. Meanwhile, there are already proposed several methods of controlling the driving operation of a synchronous machine without using a sensor for detecting the position of a rotor in the machine. Described, for example, in JP-A-9-191698 is a method for estimating a voltage induced in a synchronous machine, estimating a shift angle between the position of a rotor of the machine and an estimated value of the rotor position on the basis of the estimated induced voltage, and correcting the estimated value of the rotor position.
- A control system of a converter for driving the synchronous machine generally includes a speed control system and a current control system. The speed control system receives a difference between a detected speed value and a speed command, and generates a current command according to the speed command. The current control system receives a difference between a detected current value and a current command, and generates a voltage command to the converter according to the current command.
- However, when a sensor for detecting the position of a rotor is used, a total cost is increased by a cost corresponding to the sensor. Further, since not only the sensor for detection of the rotor position but also wiring signal lines for the sensor are required, this leads to an increase in the entire scale of its machine. Furthermore, when the total length of the signal lines becomes large, the signal lines will tend to easily carry noise and thus a measure to avoid the noise will be required. Even when the sensor for detecting the rotor position is not used, on the other hand, the aforementioned rotor position estimating method in the prior art requires estimation of a shift angle between the rotor position and an estimated value of the rotor position. For this reason, the structure of a rotor position estimating block becomes complicated and thus a calculation time taken for the estimation of the rotor position is also prolonged. In the converter control system in the prior art, a change in a resistive value caused by a change in temperature or the like generates an error. When such an error causes an error in the estimated value of the rotor position, the control accuracy of the converter will drop. This is because the current command is determined by the estimated rotor position, in which case the synchronous machine cannot produce a stable output.
- It is therefore an object of the present invention to drive a synchronous generator through a simple sensorless control with a short calculation time and without using a sensor for detecting the position of a rotor, accurately control a converter independently of an error in the estimated value of the rotor position, and produce a stable output of the generator.
- In accordance with the present invention, the above object is attained by providing an apparatus for controlling a synchronous generator which comprises a converter connected to a stator of the synchronous generator and an inverter connected to the converter and also connected to a power system. The converter converts a power of a variable frequency generated by the synchronous generator to a D.C. power, and the inverter converts the D.C. power to an A.C. power of a fixed frequency. The converter includes a voltage detector for detecting a terminal voltage of the stator of the synchronous generator, a current detector for detecting a current flowing through the stator of the synchronous generator, and a rotor position estimating means for estimating a rotor position of the synchronous generator from a voltage detected by the voltage detector and a current detected by the current detector. The rotor position estimating means calculates a d-axis component of a voltage induced in the synchronous generator in a d-q axis coordinate system determined by a rotor position during estimation and controls the d-axis component of the induced voltage to zero to estimate the rotor position. The rotor position estimating means includes an active power detector for detecting a active power of an output of the synchronous generator and a reactive power detector for detecting a reactive power of the output of the synchronous generator or a terminal voltage detector for detecting an effective value of the terminal voltage of the stator of the synchronous generator The rotor position estimating means also includes an active power controller for controlling the active power of the output of the synchronous generator with use of the active power value detected by the active power detector and an active power controller for controlling the reactive power of the output of the synchronous generator or a terminal voltage controller for controlling the terminal voltage of the synchronous generator with use of the terminal voltage value detected by the terminal voltage detector. The active power controller adjusts a q-axis current command on the d-q axis coordinate system determined by the rotor position estimating means to control the active power of the synchronous generator. The reactive power controller or the terminal voltage controller adjusts a d-axis current command on the d-q axis coordinate system determined by the rotor position estimating means to control the reactive power or terminal voltage of the synchronous generator.
- Other objects, features and advantages of the invention will become apparent from the following description of the embodiments of the invention taken in conjunction with the accompanying drawings.
- FIG. 1 shows an arrangement of a power generating system to which the present invention is applied;
- FIG. 2 is an equivalent circuit of a synchronous generator;
- FIG. 3 shows details of an induced voltage estimator;
- FIG. 4 is a vector diagram (Ed>0) of the synchronous generator;
- FIG. 5 is a vector diagram (Ed<0) of the synchronous generator;
- FIG. 6 is an arrangement of the power generating system to which the present invention is applied for control of power factor; and
- FIG. 7 is an arrangement of the power generating system to which the present invention is applied, for control of terminal voltage.
- An embodiment of the present invention will be explained with reference to the accompanying drawings. FIG. 1 shows a general arrangement of an embodiment of the present invention. In FIG. 1, a
converter 2 is connected to a stator of asynchronous generator 1 and also D.C. connected to aninverter 4 via aD.C. capacitor 3. Theinverter 4 is connected to a power system via atransformer 5 for system interconnection. - A
voltage detector 6 and acurrent detector 7 are provided between thesynchronous generator 1 andconverter 2, thevoltage detector 6 detecting a terminal voltage across thesynchronous generator 1, thecurrent detector 7 detecting a current flowing through a stator of thesynchronous generator 1. The values of the detected voltage and current are converted to two components of d- and q-axis components by a three-phase/two-phase converter 8. - The
active power detector 9 detects a active power as an output of thesynchronous generator 1 on the basis of two axis component signals as outputs of the three-phase/two-phase converter 8. Areactive power detector 10 detects a reactive power of the output of thesynchronous generator 1 on the basis of the two axis component signals as the outputs of the three-phase/two-phase converter 8. - An induced
voltage estimator 11 estimates a voltage induced in thesynchronous generator 1 on the basis of the two axis component signals as the outputs of the three-phase/two-phase converter 8 as well as an estimated angular velocity value as the output of anangular velocity estimator 12. The induced voltage of thesynchronous generator 1 can be found by correcting a voltage drop caused by the resistive component and synchronous reactance of thesynchronous generator 1 from the terminal voltage of thesynchronous generator 1. The inducedvoltage estimator 11 outputs an d-axis component in the estimated induced voltage. - An input of the
angular velocity estimator 12 is a difference between the d-axis component of the estimated induced voltage as the output of the inducedvoltage estimator 11 and zero; while an output of theangular velocity estimator 12 is an estimated angular velocity value. Theangular velocity estimator 12 forms a proportional integration control system. An output of theangular velocity estimator 12 is limited by a limiter, the upper and lower limit values of the limiter being determined by an operating speed range of thesynchronous generator 1. By providing the limiter, the estimated angular velocity value of the output of theangular velocity estimator 12 can be prevented from being out of the operating speed range. - An input of a
rotor position estimator 13 is the estimated angular velocity value as the output of theangular velocity estimator 12, while an output thereof is an estimated rotor position value. The rotor position estimator constitutes an integrator. A two-phase/three-phase converter 14 performs its converting operation on the basis of an estimated rotor position value as the output of therotor position estimator 13. - Explanation will now be made in detail as to the operations of the induced
voltage estimator 11,angular velocity estimator 12 androtor position estimator 13. For simplicity, explanation will be made in connection with a cylindrical rotor synchronous generator, but this holds true even for a silient pole synchronous generator. Shown in FIG. 2 is an equivalent circuit of the cylindrical rotor synchronous generator. From FIG. 2, Equation (1) which is given below is satisfied, where reference symbol E denotes an induced voltage, V denotes the terminal voltage of the generator, ω denotes an angular velocity, L denotes a synchronous reactance, and I denotes a generator current. - E=V+(R+jωL)·I (1)
- Now Equation (1) is developed in a d-q axis coordinate system. Assuming that Ed denotes a d-axis component of the induced voltage E, E-q denotes a q-axis component of the voltage E, Vd denotes a d-axis component of the generator terminal voltage V, Vq denotes a q-axis component of the voltage V, Id denotes a d-axis component of the generator current I, and Iq denotes a q-axis component of the current I; then Equations (2) and (3) are satisfied as follows.
- Ed=Vd+R·Id−ωL·Iq (2)
- Eq=Vq+R·Iq+ωL·Id (3)
- Since the induced
voltage estimator 11 outputs the d-axis component of the induced voltage, it is only required to calculate Ed in Equation (2). FIG. 3 shows details of the inducedvoltage estimator 11. - Now consider a case of Ed>0. In the case of Ed>0, a vector diagram of the synchronous generator is given in FIG. 4. In this connection, for simplicity of explanation, the resistance of a winding in the synchronous generator is ignored.
- In this case, as shown in FIG. 4, the estimated value of the rotor position leads an actual rotor position with respect to phase. Due to Ed>0, An input to the
angular velocity estimator 12 has a negative value and theangular velocity estimator 12 forms a proportional integration control system, with the result that an estimated angular velocity value as the output of theangular velocity estimator 12 is decreased. Since therotor position estimator 13 constitutes an integrator, the decrease of the estimated angular velocity value as the input of theestimator 13 causes a drop of an increase rate in the estimated rotor position value as the output of theestimator 13. As a result, a phase difference between the actual d-q axes and estimated d-q axes is decreased to find a phase coincidence therebetween. - In a case of Ed<0, conversely, a vector diagram of the synchronous generator is given in FIG. 5, in which case an estimated rotor position value lags an actual rotor position with respect to phase. Due to Ed<0, an input to the
angular velocity estimator 12 has a positive value and theangular velocity estimator 12 forms the proportional integration control system, so that an estimated angular velocity value as the output of theestimator 12 increases. Since therotor position estimator 13 constitutes an integrator, when the estimated angular velocity value increases as the input of theestimator 13, an increase rate in the estimated rotor position value as the output of theestimator 13 is increased. As a result, a phase difference between actual and estimated d-q axes is decreased to find a phase coincidence therebetween. - In this way, by calculating a d-axis component in the induced voltage of the
synchronous generator 1 and controlling the d-axis component of the induced voltage to be zero, the rotor position of thesynchronous generator 1 can be estimated. In accordance with the present invention, the need for calculating a shift angle in the estimated rotor position value can be eliminated and the rotor position can be estimated with a simple arrangement. - An input to a
rotational speed controller 15 is a difference between an estimated angular velocity value as the output of theangular velocity estimator 12 and a angular velocity command, and an output of thecontroller 15 becomes a active power command. When therotational speed controller 15 forms, for example, a proportional integration control system and the angular velocity of thesynchronous generator 1 is larger than the angular velocity command, the output of therotational speed controller 15 becomes large and the active power of the output of thesynchronous generator 1 becomes also large. - As a result, when the active power of the output of the
synchronous generator 1 becomes larger than a mechanical input provided externally to thesynchronous generator 1, its input becomes insufficient. However, since the insufficient part of the input is complementarily supplied from rotational energy, the rotational speed of thesynchronous generator 1 is decreased and follows the angular velocity command. On the contrary, when the angular velocity of thesynchronous generator 1 is smaller than the angular velocity command, the output of therotational speed controller 15 becomes small and the active power of the output of thesynchronous generator 1 becomes small. For this reason, when the active power of the output of thesynchronous generator 1 becomes smaller than a mechanical input provided externally to thesynchronous generator 1, the input becomes excessive. However, since the excessive input part is stored as the rotary energy of thesynchronous generator 1, the rotational speed of thesynchronous generator 1 is increased to follow the angular velocity command. - An input to a
active power controller 16 is a difference between the active power command of the output of therotational speed controller 15 and the active power value detected by theactive power detector 9, while an output of thecontroller 16 is a active part of the current command to theconverter 2. An input to areactive power controller 17 is a difference between a reactive power command provided externally and the detected reactive power value as the output of thereactive power detector 10, while an output of thecontroller 17 is a reactive part of the current command to theconverter 2. Theactive power controller 16 andreactive power controller 17 both form, e.g., a proportional integration control system, and the current command to theconverter 2 is determined so that the difference between the active power command and detected active power value as well as the difference between the reactive power command and detected reactive power value become both zero. - Inputs to a
current controller 18 are a detected current value of the two axis components as the outputs of the three-phase/two-phase converter 8, a active part of the current command of the output of theactive power controller 16 to be sent to theconverter 2, and a reactive part of the current command of the output of thereactive power controller 17 to be sent to theconverter 2; while an output of thecontroller 18 is an output voltage command to theconverter 2. Thecurrent controller 18 forms, e.g., a proportional integration control system, and the output voltage command to theconverter 2 is determined so that a difference between the detected current value and current command becomes zero. Since the output voltage command of the output of thecurrent controller 18 to theconverter 2 is of two axis components, the output voltage command is converted by the two-phase/three-phase converter 14 to a three-phase voltage command. - A
pulse generator 19 outputs a gate pulse signal to theconverter 2 in a pulse width modulation (PWM) scheme on the basis of a three-phase output voltage command of an output of the two-phase/three-phase converter 14 to be sent to theconverter 2. Theconverter 2 receives the gate pulse signal, a semiconductor switching element such as an insulated gate bipolar transistor (IGBT) performs its switching operation at a high speed, and theconverter 2 outputs a voltage corresponding to a command. - With such an arrangement of the control system as mentioned above, the rotational speed of the
synchronous generator 1 and the active and reactive powers of the output of thesynchronous generator 1 can be controlled. When the active power of the output of thesynchronous generator 1 is controlled, the generator can produce a stable output. - On the other hand, when a estimated rotor position value has an error, it becomes generally difficult to accurately control a converter. This is because a current command to the converter is determined in a d-q axis coordinate system determined by the estimated rotor position value. However, when the
active power controller 16 andreactive power controller 17 are built in as in the present invention, the converter can be accurately controlled even when the estimated rotor position value has an error. Explanation will be made as to the operation of the control system of the present invention when the estimated rotor position value has an error. - The
active power detector 9 andreactive power detector 10 solve Equations (4) and (5), where P and Q denote detected active and reactive power values in the output of thesynchronous generator 1, Vd and Vq denote d- and q-axis components of the terminal voltage of thesynchronous generator 1, and Id and Iq denote d- and q-axis components of a current flowing through the stator of thesynchronous generator 1 respectively. - P=3/2·(Vd·Id+Vq·Iq) (4)
- Q=3/2·(Vq·Id−Vq·Iq) (5)
- The three-phase/two-
phase converter 8 solves Equations (6) and (13) which are given in the following. In the Equations, θ denotes an estimated rotor position value of the output of therotor position estimator 13, VU, VV and VW denote three phase components of the terminal voltage of thesynchronous generator 1, IU, IV and IW denote three phase components of a current flowing through the stator of thesynchronous generator 1, Vα and Vβ denote α- and β-axis components of the terminal voltage of thesynchronous generator 1, and Iα and Iβ denote α- and β-axis components of a current flowing through the stator of thesynchronous generator 1, respectively. An α-β axis coordinate system is a coordinate system of two axes fixed to the stator of thesynchronous generator 1. The three-phase/two-phase converter 8 calculates to convert three phase detected values to values in the α-β axis coordinate system with use of Equations (6) to (9) and further to convert them to values in the d-q axis coordinate system with use of Equations (10) to (13). - Vα=2/3·(VU−VV/2−VW/2) (6)
- Vβ=2/3·({square root}{square root over (3/2)}·VV−{square root}{square root over (3/2)}·VW) (7)
- Iα=2/3·(IU−IV/2−IW/2) (8)
- Iβ=2/3·({square root}{square root over (3/2)}·IV−{square root}{square root over (3/2)}·IW) (9)
- Vd=cos θ·Vα+sin θ·Vβ (10)
- Vq=−sin θ·Vα+cos θ·Vβ (11)
- Id =cos θ·Iα+sin θ·Iβ (12)
- Iq=−sin θ·Iα+cos θ·Iβ (13)
- When Equation (13) is substituted into Equations (4) and (5) with use of Equation (10), Equations (14) and (15) which follow are satisfied.
- P=3/2·(Vα·Iα+Vβ·Iβ) (14)
- Q=3/2·(Vβ·Iα−Vβ·Iβ) (15)
- It will be seen from Equations (14) and (15) that P and Q can be found from Vα and Vβ and from Iα and Iβ. Since Vα and Vβ and Iα and Iβ are independent of θ from Equation (6) and from Equation (9), further, it will be seen that P and Q are independent of θ. It will be appreciated from the above that, even when the estimated rotor position value contains an error, the active and
reactive power detectors synchronous generator 1. When the active and reactive powers of the output of thesynchronous generator 1 are correctly detected, the active andreactive power controllers reactive power controllers converter 2 can be accurately controlled. - Next an embodiment when the power factor of the
synchronous generator 1 is controlled is shown in FIG. 6. When the reactive power of the output of thesynchronous generator 1 is controlled, the power factor of thesynchronous generator 1 can be controlled. Since the power factor of thesynchronous generator 1 can be controlled by adjusting a ratio between the active and reactive powers of the output of thesynchronous generator 1, its reactive power command can be given by multiplying its active power command by a gain. - Inputs to a
gain setter 20 are the active power command as the output of therotational speed controller 15 and the estimated angular velocity value as the output of theangular velocity estimator 12; while an output of thegain setter 20 is the reactive power command to theconverter 2. Thegain setter 20 adjusts the gain to be multiplied by the active power command according to the estimated angular velocity value and outputs the value of multiplication between the adjusted gain and active power command as the reactive power command. - When the estimated angular velocity value is low, the
gain setter 20 adjusts the gain in such a manner that the induced voltage and current of thesynchronous generator 1 coincides with each other in their phase. In this way, such gain adjustment enables operation of thesynchronous generator 1 with a high efficiency and with a small generator current in a low rotational speed range of thegenerator 1. - When the estimated angular velocity value is high, on the other hand, since the induced voltage of the
synchronous generator 1 becomes high, the terminal voltage of thesynchronous generator 1 also becomes generally high. When the terminal voltage of thesynchronous generator 1 becomes high, there may sometimes occur such a situation that the generator cannot be operated due to an overvoltage. To avoid this, when the estimated angular velocity value is high, thegain setter 20 adjusts the gain in such a manner that the current of thesynchronous generator 1 lags the induced voltage of the synchronous generator with respect to phase. When the gain is adjusted in this way, the terminal voltage of thesynchronous generator 1 can be made low and thesynchronous generator 1 can be operated in a high rotational speed range of thegenerator 1 with an increase in the terminal voltage of thegenerator 1 being suppressed. - As mentioned above, by controlling the power factor of the
synchronous generator 1, thesynchronous generator 1 can be operated with a high efficiency and the increase of the terminal voltage of thegenerator 1 can be suppressed. - Further, the terminal voltage of the
synchronous generator 1 can be directly controlled. An embodiment when the terminal voltage of thesynchronous generator 1 is controlled is shown in FIG. 7. The embodiment of FIG. 7 is basically the same arrangement as that of the embodiment of FIG. 1, except that thereactive power detector 10 in FIG. 1 is connected to aterminal voltage detector 21 and thereactive power controller 17 is changed to aterminal voltage controller 22. - The
terminal voltage detector 21 detects the effective value of the terminal voltage of thesynchronous generator 1 on the basis of two axis component signals as the outputs of the three-phase/two-phase converter 8. An input to theterminal voltage controller 22 is a difference between a terminal voltage command provided externally and a detected terminal voltage value as the output of theterminal voltage detector 21, while the output of theterminal voltage controller 22 is a reactive part of the current command to theconverter 2. Theterminal voltage controller 22, which forms, e.g., a proportional integration control system, determines a reactive part of the current command to theconverter 2 in such a manner that the difference between the terminal voltage command and detected terminal voltage value becomes zero. Adjustment of the reactive part of the current command to theconverter 2 enables adjustment of the power factor of thesynchronous generator 1 and enables control of the terminal voltage of thesynchronous generator 1. - The
terminal voltage detector 21 performs its calculation in accordance withEquation 16, where Vt denotes a detected value of the terminal voltage of thesynchronous generator 1, and Vd and Vq denote d- and q-axis components of the terminal voltage of thegenerator 1 respectively. - Vt={square root}{square root over ((3/2))}·{square root}{square root over ((Vd·Vd+Vq·Vq))} (16)
- Substituting Equations (10) and (11) into Equation (16) satisfies Equation (17).
- Vt={square root}{square root over ((3/2))}·{square root}{square root over ((Vα·Vα+Vβ·Vβ))} (17)
- It will be seen from Equation (17) that Vt is found from Vα and Vβ. It will also be seen from Equations (6) and (7) that, since there is Vα and Vβ are not dependent on θ, Vt is not dependent on θ. From the above, it will be appreciated that, even when the estimated rotor position value contains an error, the
terminal voltage detector 21 can correctly detect the effective value of the terminal voltage of thesynchronous generator 1. When thedetector 21 can correctly the effective value of the terminal voltage of thesynchronous generator 1, theterminal voltage controller 22 can control the terminal voltage to approach its command. Thus even when the estimated rotor position value contains an error, the terminal voltage controller determines the reactive part of the current command in such a manner as to correct the error amount. For this reason, even when the estimated rotor position value contains an error, theconverter 2 can be accurately controlled. - The apparatus can be made small in size without using a rotor position detecting sensor by driving the synchronous generator under the simple sensorless control. Further, the converter can be accurately controlled independently of an error included in the estimated rotor position value. Furthermore, the generator can produce a stable output by controlling the active power. In addition, the synchronous generator can be operated with a high efficiency or the terminal voltage of the synchronous generator can be controlled by controlling the reactive power.
- It should be further understood by those skilled in the art that the foregoing description has been made on embodiments of the invention and that various changes and modifications may be made in the invention without departing from the spirit of the invention and the scope of the appended claims.
Claims (5)
1. An apparatus for controlling a synchronous generator which comprises a converter connected to a stator of said synchronous generator and an inverter connected to said converter and also connected to a power system and wherein said converter converts a power of a variable frequency generated by said synchronous generator to a D.C. power, and said inverter converts said D.C. power to an A.C. power of a fixed frequency, said converter includes a voltage detector for detecting a terminal voltage of the stator of said synchronous generator, a current detector for detecting a current flowing through the stator of said synchronous generator, and rotor position estimating means for estimating a rotor position of said synchronous generator from a voltage detected by said voltage detector and a current detected by said current detector, said rotor position estimating means calculates a d-axis component of a voltage induced in said synchronous generator in a d-q axis coordinate system determined by a rotor position during estimation and controls the d-axis component of said induced voltage to zero to estimate the rotor position, said rotor position estimating means includes an active power detector for detecting a active power of an output of said synchronous generator and a reactive power detector for detecting a reactive power of the output of said synchronous generator or a terminal voltage detector for detecting an effective value of the terminal voltage of the stator of said synchronous generator, said rotor position estimating means also includes a active power controller for controlling the active power of the output of said synchronous generator with use of the active power value detected by said active power detector and an active power controller for controlling the reactive power of the output of said synchronous generator or a terminal voltage controller for controlling the terminal voltage of said synchronous generator with use of the terminal voltage value detected by said terminal voltage detector, said active power controller adjusts a q-axis current command on the d-q axis coordinate system determined by said rotor position estimating means to control the active power of said synchronous generator, said reactive power controller or said terminal voltage controller adjusts a d-axis current command on the d-q axis coordinate system determined by said rotor position estimating means to control the reactive power or terminal voltage of said synchronous generator.
2. An apparatus for controlling a synchronous generator as set forth in claim 1 , further comprising an angular velocity estimator for receiving a difference between a d-axis component of the induced voltage of said synchronous generator on the d-q axis coordinate system determined by said rotor position estimating means and zero, and wherein said angular velocity estimator forms a proportional integration control system.
3. An apparatus for controlling a synchronous generator as set forth in claim 2 , wherein an output of said angular velocity estimator is limited by a limiter and upper and lower limit values of said limiter are determined by an operating speed range of said synchronous generator.
4. An apparatus for controlling a synchronous generator as set forth in claim 3 , further comprising a rotor position estimator for receiving an estimated angular velocity value as an output of said angular velocity estimator, and wherein said rotor position estimator forms an integrator.
5. A method for controlling a synchronous generator in an apparatus which comprises a converter connected to a stator of said synchronous generator and an inverter connected to said converter and also connected to a power system and wherein said converter converts a power of a variable frequency generated by said synchronous generator to a D.C. power, and said inverter converts said D.C. power to an A.C. power of a fixed frequency, said converter includes rotor position estimating means, reactive and active power controllers and a terminal voltage controller; said method comprising the steps of:
estimating by said rotor position estimating means a rotor position of said synchronous generator from an induced voltage of said synchronous generator and a current of the generator flowing through the stator of the generator;
calculating a d-axis component of a voltage induced in said synchronous generator in a d-q axis coordinate system determined by a rotor position during estimation and controlling a d-axis component of said induced voltage to zero to estimate the rotor position;
controlling by said active power controller a detected active power value of the output of said synchronous generator;
controlling by said reactive power controller or terminal voltage controller an detected reactive power value of the output of said synchronous generator or a detected terminal voltage value of said synchronous generator;
adjusting by said active power controller a q-axis current command on the d-q-axis coordinate system determined by said rotor position estimating means to control a active power of said synchronous generator; and
adjusting by said reactive power controller or said terminal voltage controller a d-axis current command on the d-q-axis coordinate system determined by said rotor position estimating means to control a reactive power or a terminal voltage of said synchronous generator.
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JP3982232B2 (en) | 2007-09-26 |
US6567282B1 (en) | 2003-05-20 |
US20030080701A1 (en) | 2003-05-01 |
US6720753B2 (en) | 2004-04-13 |
JP2003134898A (en) | 2003-05-09 |
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