专利摘要:
One method maintains a synchronous machine in a stable operating zone during large transient voltage excursions in a power grid to which the machine is connected. It becomes the load angle of the machine, i. H. the position of the rotor flux with respect to the position of the stator flux, calculated. If the load angle is not within a predefined range of reference values for steady machine operation, the field excitation of the machine is adjusted to bring the load angle of the machine within the defined range of reference values for stable machine operation.
公开号:AT517323A2
申请号:T262/2016
申请日:2016-05-24
公开日:2016-12-15
发明作者:
申请人:Gen Electric;
IPC主号:
专利说明:

BACKGROUND OF THE INVENTION
The present invention relates to synchronous machines, and more particularly to a method of maintaining a synchronous machine within a stable operating zone during large transient voltage or frequency excursions.
Synchronous machines are rotating electromechanical machines that can be used either as motors or generators. Synchronous machines are commonly used as generators that are rotated by steam or gas turbines to be used in power systems that are part of a power grid.
Synchronous machines have two mechanical parts, i. H. a rotor and a stator. They also have two electrical parts, d. H. a field source and an armature winding. The field source is usually located on the rotor of the machine, while the armature winding is usually located on the stator of the machine. The armature winding may be a three-phase winding.
The field source produces a magnetic field with a magnetic flux that interacts with the armature winding to induce an AC (alternating current) voltage in the armature winding. The field source may consist of either permanent magnets or a field winding with a DC (direct current) flowing therethrough. Permanent magnets are commonly used in small machines, while field windings are commonly used in large machines. A field winding produces a magnetic field due to the direct current flowing through it. The field excitation in the rotor field winding through field DC current is of constant magnitude and rotates with the speed of the rotor through a drive source around the machine. The magnitude of this field excitation and the magnetic field produced by it is directly proportional to the field DC current, as long as the magnetic circuit of the rotor and stator windings is not saturated.
When a synchronous machine operates as a generator, the rotor of the machine is driven by an external drive source, such as a motor. B. a driven by a gas or steam turbine mechanical shaft rotated. When the field DC current flows through the field winding rotating with the rotor of the machine, the rotating field winding produces a rotating magnetic field. This rotating magnetic field induces an AC voltage within the stator armature winding. When the AC voltage causes an AC current to flow through the three-phase armature winding, a magnetic field is generated which rotates at the same speed as the magnetic field generated by the current flowing through the rotating field winding on the rotor the synchronous speed of the machine is rotating. Thus, the rotating magnetic field generated by the rotating field winding induces a three-phase voltage within the three-phase stator winding. The stator windings are the windings where the principal electromotive force (EMF) or voltage is induced in a generator.
In a synchronous generator, a "load angle" δ is defined as the angle between the electromotive force (EMF) induced in the generator (E) and the generator's terminal voltage (V). The "load angle" is also defined as the angle between the rotating magnetic field generated by the rotor field winding and the rotating magnetic field induced by the stator armature. For a synchronous generator, the rotor magnetic field rotates at synchronous speed, and the rotating magnetic field is generated in the stator armature.
The two fields are not completely aligned. As a rule, the rotor magnetic field lags behind the rotating stator field. This distortion is expressed at an angle that is the load angle. The load angle for a synchronous generator will change as the generator moves from a no-load condition to a load condition.
The power factor is defined as the cosine of the angle between current and voltage. The power factor is also the ratio between the wattage delivered to a load and the apparent power delivered to the load. The apparent power is the product of the RMS (root mean square) current and the RMS voltage.
The load angle is important for maintaining the stability of a generator. When the load angle exceeds ninety degrees (90 °), the generator becomes unstable. This can happen when there is a sudden change in a large load or when a fault in the power grid continues for a long time. More recently and in the future, an increase in the use of renewable energy sources can affect the ability of large synchronous machines connected to the power grid to remain synchronized during large voltage swings. A synchronous generator operates in a lagging or power factor one mode due to an inductive load. With growing renewable energy sources, the need to operate machines at leading power factors could increase to keep the system voltage close to target values.
The transient stability of a synchronous machine is largely defined by the operating point of the machine on its load angle curve. The power system stability depends on the fault recovery time for a fault in the transmission system. Slower error correction allows the rotor to accelerate so far on the power curve and could cause a synchronous machine to desynchronize. The ability of the machine to remain synchronized over a large transient is determined by the operating load angle of the machine, i. H. defines the angle between the rotating magnetic field of the rotating rotor and the rotating magnetic field induced in the rotor winding. The improved field excitation control feature of the present invention provides for control of the machine load angle with a capability to ensure minimum transient and dynamic stability limits.
The present invention relates to a method for maintaining a synchronous machine within a safe operating zone during large transient voltage excursions in a power supply network to which the machine is connected.
According to a first exemplary embodiment of the invention, a method for maintaining a synchronous machine within a stable operating zone during large transient voltage or frequency excursions, wherein the machine comprises a driver predefining a load angle range in which stable operation of the machine takes place, comprises a load angle calculation is performed for the machine based on a generator terminal parameter, it is determined whether the calculated load angle is within the predefined stable operating load angle range for the machine when the load angle is within the predefined stable operating load angle range, the load angle calculation for the machine and determining whether the load angle is within of the predefined stable operating load angle range, be repeated until the load angle is no longer within the predefined stable operating load angle range, and when the load angle is not within the predefined stable operating load angle range, the machine field excitation is modified to bring the machine load angle back to the predefined stable operating load angle range, with the synchronous machine maintained within a safe operating zone during large transient excursions.
According to another exemplary embodiment of the invention, a method for maintaining a synchronous machine within a safe operating zone during large transient voltage or frequency excursions, the machine comprising a driver, defining a load angle range in which stable and synchronized operation of the machine takes place, the exciter performs a load angle calculation for the machine, a load angle control is provided which determines whether the load angle is within the predefined range in which stable and synchronized operation of the machine occurs when the load angle is within the predefined range of desired values, the exciter the load angle calculation for the machine is repeated and the load angle controller determines whether the load angle is within the predefined range of values until the load angle is no longer within the predefined range of Setpoints, and if the load angle is not within the predefined range of setpoints, the machine exciter modifies the values at an automatic exciter setpoint (ASP_EX) modulating an automatic voltage regulator setpoint (AVR SP) within predefined limits to To either increase or decrease field excitation, keeping the synchronous machine within a safe operating zone during large transient voltage or frequency excursions.
According to another exemplary embodiment of the invention, a method of maintaining a synchronous machine within a safe operating zone during large transient voltage or frequency excursions in a power grid to which the machine is connected uses a human-machine interface to control operation of the machine For example, in order to define a load angle range in which a stable and synchronized operation of the machine takes place, the exciter performs a load angle calculation for the machine, a load angle control is provided which determines whether the load angle is within a predefined range of set values automatic machine exciter setpoint block (EXASP) are stored when the load angle is within the predefined range of setpoint values, the exciter repeats the load angle calculation for the machine and the load angle control repeats the loading determining whether the load angle is within the predefined range of values, repeated until the load angle is no longer within the predefined range of setpoints, and if the load angle is not within the predefined range of setpoints, the machine exciter outputs the values at an automatic exciter A setpoint (ASP_EX) modifying an automatic voltage regulator set point (AVR SP) within predefined limits to either increase or decrease the machine field excitation, wherein the synchronous machine is maintained within a safe operating zone during large transient voltage or frequency excursions.
Fig. 1 is a plan outline diagram of a simple synchronous generator.
Fig. 2 is a side elevation schematic diagram of a synchronous generator.
3 is a schematic diagram of a generator excitation controller that includes a field circuit used to control a generator field current and a voltage regulator used to control the level of the generator terminal voltage.
4 is a timing diagram for a synchronous generator operating in a lagging power factor mode due to an inductive load.
Fig. 5 is a block diagram of the circuit diagram including generator energization control.
FIG. 6 is a more detailed block diagram of the Automatic Voltage Regulator Setpoint Block (EXASP) of FIG. 5. FIG.
7 is a flowchart of the steps of the method of the present invention for maintaining a synchronous machine within a safe operating zone during large transient voltage excursions.
Synchronous machines are commonly used as generators driven by turbines, such as. As steam turbines, gas turbines, and by other types of machines, such. B. internal combustion engines are rotated. Synchronous machines generate electricity that is supplied to consumers via a country's power grid. The present invention relates to a method of determining whether the load angle of a synchronous machine is within defined limits to maintain the machine in a stable and therefore safe operating zone even during large transient voltage swings in the power supply network to which the machine is connected.
The ability of a synchronous machine to remain synchronized during a large voltage or frequency transient is determined by the operating load angle
Machine, d. H. the angle between the rotating magnetic field of the rotating rotor and the rotating magnetic field induced in the stator winding. The method of the present invention mathematically calculates the load angle of the machine, i. H. the position of the rotor flux with respect to the position of the stator flux, and allows the maintenance of the load angle of the machine within a defined range of reference values for stable machine operation by adjusting the field excitation of the machine.
The field excitation is maintained to achieve greater machine operating stability, which improves the reliable operation of gas and steam turbines connected to a synchronous generator in the power grid, even during large voltage or frequency excursions. The method of the present invention allows careful monitoring of a load angle of the machine to maintain stable machine operating conditions, regardless of whether the machine is under a VAR or PF control. Significantly, this stability adds value to reliable operation for consumers, thereby generating additional revenue.
Currently, there are no direct methods for determining the load angle of a synchronous machine. It can only be calculated mathematically. The method of the present invention defines safe load angle operating limits based on a load angle calculation to keep the machine in a safe, stable operating zone even during large transient excursions.
The ability of a synchronous machine to remain synchronized during a large voltage or frequency transient is defined by the operating load angle of the machine. The method of the present invention mathematically determines the position of the machine rotor flux with respect to the stator flux to cause the
To maintain the load angle of the machine within a certain range of reference values, which are determined by the ability of the machine to work in a stable manner. The method of the present invention maintains the engine load angle by adjusting the engine field excitation within the particular range of reference values while ensuring that the engine is operating in a stable manner. If the field excitation / strength is maintained to achieve greater machine stability, this improves the reliable operation of the gas or steam turbine which powers the machine in the power grid. With increasing demands to operate synchronous machines at leading power factors, the improved field excitation control feature of the present invention provides for control of the machine load angle with a capability to ensure minimum transient and dynamic machine stability limits.
Fig. 1 is a plan view of a simple synchronous generator 10 showing its rotor 12 and stator 14 and their respective windings. The windings include a field winding 16 disposed on the rotor 12 and an armature winding 18 disposed on the stator 14. The field winding 16 generates a magnetic field with a magnetic flux 19 as a result of a DC current flowing through the field winding 16. FIG. 2 is a side elevation schematic diagram of the synchronous generator 10, which also shows the rotor 12 and the stator 14 as well as slip rings 20 and brushes 22 by means of which the direct current flows to the rotor 12.
When the magnetic flux 19 generated by the field winding 16 interacts with the armature winding 18, an AC voltage is induced in the armature winding 18. When the magnetic flux developed by the DC field winding crosses an air gap between the rotor and stator windings, a silicon voltage is developed at the generator output terminals by a process called electromagnetic induction.
The amount of the generated AC voltage is controlled by the amount of DC supplied to the field winding 16. In large generators, exciters are used to generate the DC current that is used to control the generator terminal voltage.
FIG. 3 is a schematic diagram showing generator energization control including a exciter 24 used to control the generator field excitation and a voltage regulator 26 used to control the level of the generator terminal voltage. Current transformers (CTs) 28 monitor the stator current, while voltage transformers (PTs) 30 monitor the generator terminal voltage. With the power voltage converter (PPT) controller 29, the excitation controller can desensitize the effect of the exciter time constant by incorporating a direct measurement of the generator field voltage and field current to improve the speed of system transient response.
A "pointer" is a scaled line, referred to as a "vector", whose length represents an amount of alternating current that has both a magnitude ("peak amplitude") and a direction ("phase") at a particular fixed time. In a rotating synchronous generator, a phasor diagram of rotating vectors is typically shown in the rotating synchronous dg frame of the rotor of the generator. In the rotating, synchronous dg frame, the axis of the field winding in the DC field direction is referred to as the rotor longitudinal axis or the d axis. Ninety (90) degrees to the d-axis is the transverse axis or the g-axis. Because a pointer diagram can be drawn to everyone
Instant and thus represent each angle, the reference pointer or vector of varying size is drawn along the horizontal axis of the phasor diagram. All vectors are rotated in a counterclockwise direction. All vectors before the reference vectors are referred to as "leading", while all vectors after the reference vector are referred to as "lagging".
4 is a timing diagram for a synchronous generator operating in a lagging power factor mode due to an inductive load. The terminal voltage Et is plotted along the horizontal axis of the phasor diagram and thus is the reference vector in the phasor diagram of FIG. 3. The terminal current Jt is shown lagging in FIG. 3 as the terminal voltage Et by an angle Φ which is equal to the phase difference, i. H. corresponds to the phase angle between the terminal voltage Et and the terminal current ft.
The internal voltage induced in the generator stator winding Eq is generated by the rotor magnetic field interacting with the stator winding. In general, the voltage induced inside in a synchronous generator Eq is not the voltage Et appearing at the terminals of the generator, since the generator voltage induced inside only corresponds to the generator terminal voltage when no armature current is present in the machine. Thus, the load angle δ, the angle between the internal stress Eq and the terminal voltage Et.
The "power factor" is defined as the cosine of the phase angle Φ (cos Φ) between the terminal voltage Et and the terminal current ft. The phase angle Φ may be in a range between -90 ° and + 90 °, so that it is referred to as leading or lagging can be. A lagging power factor occurs when the current lags the voltage. In the context of power generation, this means that the generator feeds reactive power into the power grid. A leading power factor is present when the current leads the voltage. This means that the generator picks up the reactive power from the power grid.
Inductive loads, such. Motors, have lagging performance factors such that industrial plants tend to have a "lagging power factor" due to the large number of electric induction motors whose windings, as seen on the power supply, act as inductors.
The mathematical equation for calculating the load angle of a synchronous machine operating in a lagging power factor mode, whose phasor diagram is shown in FIG. 3, is as follows:
where Xq is the stator armature reactance and Ra is the stator armature resistance. As such, the product Xqh defines the decrease of the internal induced voltage Eq in the generator stator winding due to the stator reactance, while the product Ralt defines the decrease of the internal induced voltage £ q in the generator stator winding due to the stator resistance.
The load angle δ, is the reciprocal of the tangent of this angle, the side of the triangle shown in the phasor diagram of FIG. 4 against the load angle δ, broken by the side of the triangle shown in the phasor diagram of FIG. 4 adjacent to the load angle δ, equivalent. It can be seen from the vector diagram of FIG. 4 that the side of the triangle is defined with respect to the load angle δ, as XqJt cos φ minus Rah sin φ. Similarly, from the phasor diagram of
4, it can be seen that the side of the triangle adjacent to the load angle δ is defined as the terminal voltage Et plus Rold cos Φ plus Xq [t sin Φ.
FIG. 5 is a block diagram of a control system that includes excitation control for the generator 10. The excitation control includes an automatic voltage regulator (AVR) 40 which constantly maintains the generator terminal voltage through changes in load and operating conditions. The AVR 40 generates a FVR track set point input 41 into a field voltage regulator (FVR) 42 which controls the generator field voltage. The FVR 42 is a manual controller that uses the generator field voltage 43 as a feedback input. An automatic voltage regulator setpoint block (EXASP) 44 combines a number of functions to generate a reference input (AVR setpoint and tracking value) 45 to the AVR 40. The AVR setpoint is combined with other assisting stabilization and guard signals in the EXASP block 44 to form the reference 45 to the AVR 40. A autoreg reference (AUTO REF) block 46 that provides external operator commands, such Receiving inputs and / or inputs via a data link from a human machine interface (MMS) operator station generates an auto-steer (AC) setpoint variable for the EXASP 44. However, according to the present invention The setpoint input to the EXASP block is passed from the AUTO REF 46 through the load angle controller 48, which inputs the setpoint input 47 to the EXASP 44 based on a calculation of a load angle for the engine 10 using the mathematical load angle calculation equation set forth above and determining whether the calculated load angles within the defined load angle range for synchronized operation for the machine 10 is modified (or not). The (non) modified default values 47 are input to an automatic machine voltage regulator summing node 49 through an additional input 50 as shown in FIG. 6, as shown in FIG. 6, either increasing or decreasing the machine field excitation. The components, such. 40, 42, 44, 46, and 48, the excitation control may be implemented using one or more processors executing execution instructions stored in a non-volatile memory device.
FIG. 6 is a more detailed block diagram of the Automatic Voltage Regulator Setpoint Block (EXASP) 44 of FIG. 5, showing summing node 49 and the (non) modified default value ASP_EX 50 input to summing node 49.
7 is a flowchart 60 for a rotor angle control algorithm showing the steps of a method of maintaining a synchronous machine within a stable operating zone during large transient voltage excursions. To keep the machine synchronized during a large voltage or frequency transient, the operating load angle of the machine, i. H. calculates the angle between the rotating magnetic field of the rotating rotor and the rotating magnetic field induced in the stator winding. After the load angle of the machine has been calculated, a determination is made as to whether the load angle is within a defined range of load angle values for stable machine operation. If not, the load angle is modified by adjusting the field excitation to ensure that the operation of the machine is within its ability to operate in a stable manner. The defined range of load angle values for stable machine operation may be in a range of zero to ninety degrees (0 ° and 90 °).
Turning to the flow chart of FIG. 7, after the start step 60, the next step 61 activates the load angle controller 48 and then predefines the load angle range for stable operation of the generator 10. These steps are performed via an MMS generated by the operator of the generator is used to control its operation. If no machine malfunctions or PT faults are detected at step 62 and the exciter 24 is in an automatic (AUTO) mode of operation, a feedback is sent to the MMS at step 63 indicating that the "LOAD ANGLE CONTROL IS ACTIVE". Also, if no machine malfunctions or PT defects are detected at step 62 and the exciter is in the AUTO mode, at step 64 a load angle calculation is performed in the exciter 24 from the stator parameters described with respect to the mathematical equation set forth above Calculating the load angle of a working in a mode with a trailing power factor synchronous machine are defined. The load angle calculation may be performed in the load angle controller 48. The load angle control may also include the control of the exciter.
If a machine malfunction or a PT defect is detected at step 62, or if the exciter is not in the AUTO mode, the rotor control algorithm is terminated at step 67.
At step 65, a determination is made in the load angle controller 48 as to whether the machine load angle δ is within the predefined range of values. If so, the load angle calculating step 64 is repeated and the loop including this step is repeated unless and until the load angle is no longer within the predefined range of load angle values. If a determination is made that the load angle is not within the predefined range of load angle values at step 65, the load angle controller 48 modifies the values at ASP_EX 50 that modulate the AVR setpoint such that a load angle is maintained within predefined limits, what the control system would either increase or decrease the machine-field excitation. The
Modification of the values at ASP_EX is an additional input to the AVR summing node 49. In addition, if the AVR set point modulation takes place, the external INCREASE / DECREASE commands that would be used could be prevented in an application switch, if the Operating point meets the limits of the predefined range of load angle values. In either case, after step 66 of the load angle control for modifying the values has been performed at ASP_EX, the step 65 of determining whether the load angle is within a predefined range of values is repeated by the load angle controller 48. After that, the next step is the end 67.
Thus, the method of the present invention mathematically calculates a load angle of a machine, i. H. the position of the rotor flux with respect to the position of the stator flux, and allows the maintenance of the load angle of the machine within a defined range of reference values for stable machine operation by adjusting the field excitation of the machine.
The field strength is maintained to achieve greater machine operating stability, which improves the reliable operation of gas and steam turbines connected to a synchronous generator in the power grid, even during large voltage or frequency excursions. The method of the present invention allows careful monitoring of a load angle of a machine to maintain stable machine operating conditions, regardless of whether the machine is under VAR or PF control. Significantly, this stability adds value to reliable operation for consumers, thereby generating additional revenue. While the invention has been described in conjunction with what is presently considered to be the most practical and preferred embodiment, it should be understood that the invention is not limited to the disclosed embodiment, but rather covers various modifications and equivalents that may occur within the spirit and scope of the invention Scope of the appended claims lie.
权利要求:
Claims (20)
[1]
claims:
A method of maintaining a synchronous machine within a stable operating zone during large transient voltage or frequency excursions, the machine comprising a driver, the method comprising: predefining a load angle range in which stable operation of the machine occurs; a load angle calculation is performed for the machine; determining if the calculated load angle is within the predefined stable operating load angle range for the machine; if the load angle is within the predefined stable operating load angle range, repeating the load angle calculation for the machine and determining whether the load angle is within the predefined stable operating load angle range until the load angle is no longer within the predefined stable operating load angle range; and if the load angle is not within the predefined stable operating load angle range, the machine field excitation is modified to bring the machine load angle back to the predefined stable operating load angle range; wherein the synchronous machine is maintained within a safe operating zone during large transient voltage excursions.
[2]
2. The method of claim 1, wherein the step of performing the load angle calculation for the machine in the exciter is performed.
[3]
3. The method of claim 1 wherein the step of predefining a load angle range in which stable operation of the machine occurs is at a human-machine interface used to control operation of the machine.
[4]
4. The method of claim 1, wherein the step of changing the machine field excitation is performed by modifying the predefined stable operating load angle range and entering the modified predefined stable operating load angle range into an automatic machine exciter voltage regulator to change the machine field excitation.
[5]
5. The method of claim 1, wherein the step of determining whether the engine load angle is within a predefined stable operating load angle range is performed by providing load angle control that determines whether the calculated load angle is within the predefined stable operating load angle range.
[6]
6. The method of claim 1, wherein the predefined stable operating load angle range is stored in an automatic machine setpoint block that is part of a machine excitation control.
[7]
The method of claim 1, wherein the step of modifying the machine field excitation is performed by modifying a machine field current.
[8]
8. The method of claim 1, wherein the defined range of load angle values for stable engine operation is between zero and 90 degrees.
[9]
9. The method of claim 1, wherein the synchronous machine operates as a generator or a synchronous capacitor or motor.
[10]
10. A method of maintaining a synchronous machine within a safe operating zone during large transient voltage or frequency excursions, the machine comprising an exciter, the method comprising: defining a load angle range in which stable and synchronized operation of the machine occurs; the exciter performs a load angle calculation for the machine; a load angle control is provided which determines whether the load angle is within the predefined range in which the stable and synchronized operation of the engine takes place; if the load angle is within the predefined range of setpoints, the exciter repeats performing the load angle calculation for the machine and the load angle controller determines whether the load angle is within the predefined range of values until the load angle is no longer within the predefined range of setpoints; and if the load angle is not within the predefined range of setpoints, the machine exciter modifies the values at an automatic exciter setpoint that modulates an automatic voltage regulator setpoint within predefined limits to either increase or decrease the machine field excitation; wherein the synchronous machine is maintained within a safe operating zone during large transient voltage or frequency excursions.
[11]
The method of claim 10, wherein the step of predefining a load angle range in which stable operation of the machine occurs is at a human-machine interface used to control operation of the machine.
[12]
12. The method of claim 10, wherein the automatic exciter setpoint block is a machine excitation controller.
[13]
13. The method of claim 10, wherein the step of modifying the machine field excitation is performed by modifying a machine field current or voltage.
[14]
14. The method of claim 10, wherein the defined range of load angle values for stable engine operation is between zero and ninety degrees.
[15]
15. The method of claim 10, wherein the synchronous machine operates as a generator.
[16]
16. A method for maintaining a synchronous machine within a safe operating zone during large transient voltage or frequency excursions in a power grid to which the machine is connected, the machine comprising a causer, the method comprising: a man-machine interface for Controlling an operation of the machine is used to define a load angle range in which a stable and synchronized operation of the machine takes place; the exciter performs a load angle calculation for the machine; providing a load angle control that determines whether the load angle is within a predefined range of setpoints stored in an automatic machine setpoint setpoint block; if the load angle is within the predefined range of setpoints, the exciter repeats the load angle calculation for the machine and the load angle controller repeats determining if the load angle is within the predefined range of values until the load angle is no longer within the predefined range of setpoints lies; and if the load angle is not within the predefined range of setpoints, the machine exciter modifies the values at an automatic exciter setpoint that modulates an automatic voltage regulator setpoint within predefined limits to either increase or decrease the machine field excitation; wherein the synchronous machine is maintained within a safe operating zone during large transient voltage or frequency excursions.
[17]
17. The method of claim 16, wherein the automatic exciter setpoint block is part of a machine excitation control.
[18]
18. The method of claim 16, wherein the step of modifying the machine field excitation is performed by modifying a machine field current or voltage.
[19]
19. The method of claim 16, wherein the defined range of load angle values for stable engine operation is between 0 ° and 90 °.
[20]
20. The method of claim 16, wherein the synchronous machine operates as a generator or motor.
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法律状态:
优先权:
申请号 | 申请日 | 专利标题
US14/731,102|US9906176B2|2015-06-04|2015-06-04|Dynamic calculation and control of synchronous machines|
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