Variable speed synchronous generator / motor

Abstract

This variable speed synchronous generator-motor device, in which current control is performed by connecting a frequency converter to an armature coil of a synchronous machine and converting the armature current of the synchronous machine to a direct axis and a quadrature axis on the basis of the rotational phase, is characterized by comprising a phase calculator for calculating and outputting a target voltage phase (th_soln) for the synchronous machine on the basis of a target frequency, and is characterized in that: a result of comparison between the synchronous machine voltage phase (th_sein) and the target voltage phase (th_soln) is subjected to phase advance compensation so as to bias a quadrature-axis current command value which is an output by comparison between a command value and a measurement value of a rotational speed or effective power, and thereby, the rotational speed is adjusted by means of synchronizing power with respect to the target frequency; the comparison result is biased with a voltage phase fluctuation on an AC-system side; and the synchronizing power is simulatively activated.

Description

[Technical field]

[0001] The present invention relates to a variable speed synchronous generator-motor that realizes variable speed operation by connecting a frequency conversion device (hereinafter referred to as a "frequency converter" in the present invention) consisting of a semiconductor power converter between a synchronous machine and a power source having an AC system frequency. [Background technology]

[0002] Variable speed synchronous machines using frequency converters are used in variable speed drives for electric motors, and hydraulic, pumped storage, and wind power generation equipment.

[0003] In many cases, the purpose of making the speed variable is to improve the overall efficiency, including the turbomachinery that is directly connected to the rotating shaft of the generator motor. There is a trade-off between efficiency improvement and the cost of the frequency converter. Patent Document 1 discloses a method of reducing costs by making the speed variable only during partial loads, when the efficiency improvement of the turbomachinery is large.

[0004] Moreover, the frequency of floods and droughts has been increasing in recent years. To make the most of existing flood control facilities in flood and drought countermeasures, it is important to simultaneously improve power generation efficiency and ensure the amount of water discharge necessary to protect the environment in the river basin, while expanding water level and head fluctuations to the maximum allowable values ​​of the facilities.

[0005] As a flood control and environmental conservation measure, it is expected that converting existing power generation facilities to variable speed power generation will become increasingly important in the future.

[0006] Since flood and drought countermeasures are urgently needed, it is important not only to install additional facilities quickly, but also to minimize modifications to existing facilities and start variable speed operation in the shortest possible time.

[0007] On the other hand, the main equipment of the power generation facility, the water turbine and generator, as well as the additional frequency converter, are often delivered by different companies.

[0008] For this reason, it is becoming increasingly common for it to take time not only to determine the delivery specifications for the frequency converter, but also to coordinate between suppliers of existing turbine and generator equipment, particularly the modification specifications for the control systems. [Prior art documents] [Patent documents]

[0009] [Patent Document 1] International Publication No. 2019 / 235595 [Patent Document 2] Patent No. 5537095 [Non-patent literature]

[0010] [Non-Patent Document 1] Virtual synchronous generator control of inverters to deal with inertia shortage in power systems, Journal of the Institute of Electrical Engineers of Japan, Vol. 141, No. 11, p. 698 (November 2021 issue) Summary of the Invention [Problem to be solved by the invention]

[0011] FIG. 1 shows an example of the configuration of a hydroelectric power generation facility as an example of a conventional power generation facility. A synchronous machine (SG) 101 is connected to an AC system (PS) 103 via a synchronous circuit breaker (CB) 102 . The rotating shaft of a synchronous machine (SG) 101 is directly connected to a water turbine (WT) 104 .

[0012] The water turbine (WT) 104 increases or decreases the flow rate to the turbine rotor using a governor (GOV) 105 that opens and closes guide vanes distributed around the periphery, thereby controlling the output to a required value. The speed regulator (ASR) 106 inputs a speed signal (N_fB) 108 from a rotation speed detector (SS) 107 and a speed command (N_rf) 109 in a matched manner, and outputs a guide vane opening command (GV_rf) 110 . Furthermore, a guide vane opening command (GV_rf) 110 and a guide vane opening signal (GV_fB) 111 are compared with each other, and a guide vane opening / closing command is output to the governor (GOV) 105.

[0013] A hydraulic turbine characteristic function generator (FN_GV) 112 outputs an optimum guide vane opening (GV_opt) 114 based on a power command (P_rf) 113 . A guide vane opening signal (GV_fB) 111 from a governor (GOV) 105 and an optimum guide vane opening (GV_opt) 114 are matched and input to a reconciliation ratio (DR) 115, the output of which is urged to an optimum speed command (N_opt) 116 to become the speed command (N_rf) 109.

[0014] In the case of conventional power generation equipment, the optimum speed command (N_opt) 116 is fixed to the synchronous speed of the synchronous machine (SG) 101 equivalent to the reference frequency of the AC system (PS) 103, and the equipment is operated at a constant rotation speed.

[0015] A generator voltage (Vg) 117 of the synchronous machine (SG) 101 receives the output of a potential transformer 118 and inputs it to a voltage sensor (V_sen) 119 , which outputs a generator voltage signal (Vg_fB) 120 . An automatic voltage regulator (AVR) 121 inputs a generator voltage signal (Vg_fB) 120 and a generator voltage command (Vg_rf) 122 in a matched manner, and outputs an excitation voltage command (Vf_rf) 123 to an exciter (EXC) 124 .

[0016] The excitation device (EXC) 124 is classified into a thyristor excitation device, a brushless excitation device, etc., but any of them adjusts the generator voltage (Vg) 117 by increasing or decreasing the excitation winding current (If) 125 of the synchronous machine (SG) 101 in response to an excitation voltage command (Vf_rf) 123.

[0017] With the above-mentioned configuration of the hydroelectric power generation facility, the procedure for starting the hydroelectric turbine (WT) 104, increasing the voltage of the synchronous machine (SG) 101, closing the synchronous circuit breaker (CB) 102, and generating electricity in the AC system (PS) 103 will be described.

[0018] In the stopped state, an inlet valve installed upstream of the guide vane is opened to start the water turbine (WT) 104. The speed regulator (ASR) 106 accelerates the turbine up to the optimal speed command (N_opt) 116. During acceleration, the exciter (EXC) 124 is started, and the automatic voltage regulator (AVR) 121 raises the generator voltage (Vg) 117 to the generator voltage command (Vg_rf) 122 .

[0019] When the speed signal (N_fB) 108 approaches the optimal speed command (N_opt) 116, a synchronization command (Syn_rf) 126 is input to a synchronization detector (Syn) 127, and when the amplitude and phase errors of the system voltage (Vs) 129 of the AC system (PS) 103 from the potential transformer 128 and the generator voltage (Vg) 117 from the potential transformer 118 are within a set range, a synchronization command (CB_rf) 130 is output from the synchronization detector (Syn) 127 to the synchronization circuit breaker (CB) 102, and the system is synchronized and paralleled to the AC system (PS) 103.

[0020] Next, the guide vane opening signal (GV_fB) 111 increases as the power command (P_rf) 113 increases, and the power of the water turbine (WT) 104 is stabilized to the power command (P_rf) 113 .

[0021] Fig. 2 shows the ideal configuration for achieving variable speed with minimal modifications while making maximum use of the capabilities of existing power generation equipment. The same numbers as in the previous Figure 1 indicate the same contents, and explanations will be omitted to avoid duplication.

[0022] Ideally, a frequency converter (FC) 201 would be connected between an AC system (PS) 103 and a synchronous machine (SG) 101 to realize variable speed operation without modifying the existing system. In addition, in order to make the most of the existing functions, it is ideal to bypass short-circuit both ends of the frequency converter (FC) 201 with a circuit breaker or load switch (LS) 202 and use conventional synchronous speed operation in combination.

[0023] There are five challenges to realizing Figure 2.

[0024] The first issue is how to ensure the torsion spring characteristics of the synchronous machine (SG) 101. When connected to an AC system (PS) 103, the synchronous machine (SG) 101 passively transmits the torque of the water turbine (WT) 104 to the AC system, so that torque control of the synchronous machine is unnecessary and impossible. When connecting a synchronous machine (SG) 101 to a frequency converter (FC) 201, the purpose of conventional frequency converter control was to affect the synchronous machine torque. For this reason, cooperative control of the synchronous machine torque and the prime mover torque by frequency converter control became essential, and the addition or modification of the existing speed regulator (ASR) 106, etc. was necessary.

[0025] The first problem will be explained below starting from the operating principle with reference to Figures 3 and 4.

[0026] 3 shows the operating principle of a synchronous machine (SG) 101 connected to an alternating current system (PS) 103. Here, the operation of the electrical system is converted into a rotary motion system.

[0027] The method of conversion from an electrical system to a rotary motion system will be explained below.

[0028] The unit of power for the rotational motion system of the prime mover and synchronous machine is "torque x rotational speed," while the unit of power for the electrical system of the AC system and synchronous machine is "voltage x current." When looking at the characteristics of a synchronous machine as an energy converter, "voltage = proportionality coefficient x rotational speed" and "torque = proportionality coefficient x current." The former comes from "Faraday's law" and the latter from "Fleming's law." The proportionality coefficient comes from the magnetic flux density of the synchronous machine and is adjusted by the excitation current (If) of the synchronous machine. As a result, when the AC system is converted into a rotary motion system, current teeth torque is converted to electricity The pressure is rotate speed is converted into

[0029] The moment of inertia of the AC system converted into a rotational system is Other Synchronous Machine group It can be roughly calculated by the sum of the moments of inertia of the This value is Configure the facilityConsider the case where the moment of inertia is larger than the total moment of inertia (I_g) of a single synchronous machine and turbine and can be considered to be infinite. In this case, the rotary motion system of the synchronous machine can be regarded as an inertia frame that rotates at the AC system frequency. In addition, the AC system seen from the synchronous machine becomes a phase source (th_p).

[0030] When the operation of the inertial system is guaranteed, the synchronous machine has the torsional spring characteristics of a rotary motion system that transmits the prime mover torque (T_l) to the AC system. The torsional phase corresponds to (th_g-th_p) in Figure 3. For a given spring constant (k_g), the phase (th_g) of a synchronous machine can be expressed by equation (1). This is the vibration equation for a one-mass system.

[0031]

number

[0032] More precisely, the relationship between the output (P_g) and the torsional phase of a synchronous machine can be expressed by the formula (2), where the armature winding resistance is ignored for simplicity.

[0033]

number

[0034] In equation (2), (E_f) is the internal induced voltage of the synchronous machine, (V) is the armature voltage, (Xd) is the direct-axis reactance, and (Xq) is the quadrature-axis reactance.

[0035] The precondition for formula (2) is that the torsional phase (th_g-th_v) is within ±90 degrees. If this range is exceeded, a loss of synchronism occurs and the synchronous machine cannot continue to operate. Furthermore, if the voltage phase (th_v) of the synchronous machine begins to deviate from the inertial system, the synchronous machine cannot continue to operate.

[0036] FIG. 4 is a diagram showing the operating principle of a synchronous machine (SG) 101 connected to a frequency converter (FC) 201. As with Figure 3 above, the electrical operation is converted into a rotational motion system.

[0037] In general, frequency converters can be roughly divided into voltage-source converters (VSCs) with voltage source characteristics equipped with a capacitor and load-commutated converters (LCCs). In recent years, voltage-type converters (VSCs) using self-extinguishing semiconductor power elements have become mainstream, due to the remarkable progress that has been made. Although it is called a voltage-type converter (VSC), the characteristics seen from the rotational motion system of the synchronous machine (SG) 101 are those of a current source. Below, we will explain why the frequency converter (FC) 201 has current source characteristics.

[0038] The energy stored in the capacitor of the voltage-type converter (VSC) is equivalent to 10 to 100 milliseconds of the rated output of the frequency converter (FC) 201. This time constant (I_f) is two to three orders of magnitude shorter than the time constant (I_g) that unitizes the moment of inertia of the rotational motion system. Therefore, when considering the operation of the rotational speed system, the time constant (I_f) of the frequency converter can be ignored.

[0039] The thermal capacity of the semiconductor chip or wafer that constitutes the semiconductor power element is on the order of several milliseconds. The power (loss) generated by the semiconductor is determined in effect by the current, so current control that can finely adjust the current value is required. As a result, the frequency converter (FC) 201 has current source characteristics with a time constant of several milliseconds to several tens of milliseconds.

[0040] As described above, the current control of the frequency converter (FC) 201 involves coordinate conversion of the armature currents (Is_a, Is_b, Is_c) of the synchronous machine (SG) 101 to direct axis current (Id) and quadrature axis current (Iq) at the rotation phase (th_g), and matching these with the direct axis and quadrature axis current command values ​​to adjust the output voltage of the frequency converter (FC) 201. The aforementioned "torque = proportionality coefficient x current" should more accurately be "torque = proportionality coefficient x quadrature axis current."

[0041] Conventionally, the power factor or voltage of a synchronous machine is matched with a target value to output a direct axis current command (Id_rf) to current control, and the active power or rotational speed is matched with a target value to output a quadrature axis current command (Iq_rf) to current control.

[0042] The quadrature axis current is proportional to the torque. Because it is difficult to measure torque, the effective power or rotation speed derived from the torque is matched to the target value and adjusted.

[0043] In general, a reactor element is required between the frequency converter (FC) 201 and the synchronous machine. In this case, a twisted phase occurs between the voltage phase (th_v) of the synchronous machine and the voltage phase (th_c) of the frequency converter. When the reactor action is converted to a rotational motion system, the spring constant ( k_x ) torsion spring.

[0044] As mentioned above, the inertia time constant (I_f) of the frequency converter (FC) can be ignored, so the equation of motion for the phase (th_g) of the synchronous machine connected to the frequency converter is given by equation (3).

[0045]

number

[0046] The characteristics of the synchronous machine (SG) 101 do not change whether it is connected to the AC system (PS) 103 or to the frequency converter (FC) 201 . However, since a spring equivalent to a reactor is connected in series, the relationship between the torque command value (T_g) and the phase (th_c) of the frequency converter (FC) is expressed by equation (4).

[0047]

number

[0048] The frequency converter (FC) 201 is controlled by the formula (4). The torque command value (T_g) is the control input, and the voltage phase (th_c) is the control output.

[0049] In addition, even if the voltage phase (th_v) of the synchronous machine deviates from the reference phase of the inertial system, the restoring force due to spring action does not work. As a result, it operates while slipping from the inertial system like an induction machine.

[0050] Next, the above-mentioned first problem will be explained using the waveforms shown in FIG. 5, FIG. 6, and FIG.

[0051] In the following, throughout this application, we will use examples of synchronous machine constants (Xd = 0.9 [pu], Xq = 0.6 [pu]), unitized moment of inertia time constant (I_g = 3.4 [sec]), rated power output (1.0 [pu]), and rated power factor (0.9 [pu] lag).

[0052] There are two inputs (disturbances) during synchronous speed operation: the prime mover torque (T_l) and the voltage phase of the AC system (th_p).

[0053] FIG. 5 shows the transient response when the prime mover torque is changed stepwise from (T_l=1.0 [pu]) to (T_l=0.9 [pu]).

[0054] The synchronous machine torque (T_g) and prime mover torque (T_l) are unitized by rated torque, and the sign of the power generation direction is positive. The rotation phase (th_g) and voltage phase (th_v) of a synchronous machine are expressed in electrical angles [degrees], and the direction of rotation for generating power is considered positive. The phase (th_v) is the voltage phase of the synchronous machine, but the relationship with the phase (th_p) of the AC system (PS) 103 can be considered as (th_v=th_p) if the moment of inertia and transmission line capacity of the AC system are large. The rotation speed (N) is the unit of variation from the inertial system speed (AC system frequency).

[0055] The armature currents of the synchronous machine are (Is_a, Is_b, Is_c) and the excitation current is (If). This shows the case where there are seven damper bars per pole, and the current values ​​(Id_1, Id_2, . . ., Id_7) are unitized. Here, the seven damper bar currents are designated (Id_1, Id_2, . . . ) from the front in the direction of rotation during power generation, and (Id_7) at the rear.

[0056] Before the step change at time t=0, the prime mover torque and the synchronous machine torque are in equilibrium at (T_l=T_g=1.0[pu]). The torsional phase difference at this time is (th_int=26.8[degrees]). After the step change, the synchronous machine torque (T_g) converges to the prime mover torque after the step (T_l = 0.9 [pu]) while undergoing damped oscillation.

[0057] The voltage phase (th_v = 0 degrees) barely changes before and after the step change. The rotational phase (th_g) undergoes damped oscillations, while the torsional phase difference decreases (2.7 degrees) to (th_ss = 24.1 degrees) and converges. This value corresponds to 0.1 pu of (th_int = 26.8 degrees). From the above, it can be seen that the synchronous machine torque (T_g) follows the prime mover torque (T_l) through torsion spring action.

[0058] The effective power (P_fb) converges with a damped oscillation, just like the torque. The rotation speed (N) converges to the value before the step (N=0).

[0059] The damper bar current value has the maximum amplitude for the bar (Id_1) at the beginning of the rotation direction and the minimum for the bar (Id_7) at the end. The damper current amplitude attenuation almost coincides with the amplitude attenuation waveforms of the torque, rotation speed, and rotation phase.

[0060] Before and after the step, the synchronous machine voltage phase (th_v) synchronized with the inertial system does not change, but the rotation phase (th_g) changes. As described above, the torsional spring characteristics of the synchronous machine ensure synchronous speed operation in the inertial system.

[0061] FIG. 6 shows the transient response when the voltage phase (th_p) of the AC system advances in a step (2.5 degrees). The operating conditions before the step change are the same as those in FIG. 5, and so a description thereof will be omitted to avoid duplication.

[0062] Almost simultaneously with the voltage step change at time t=0, the synchronous machine voltage phase also advances from (th_v=0 [degrees]) to (th_v=2.5 [degrees]). The rotation phase (th_g) cannot change suddenly due to the effect of the moment of inertia (I_g). Therefore, the torsional phase (th_int) decreases in a step by (2.5 degrees), and the synchronous machine torque decreases suddenly from (T_g=1[pu]) to (T_g=0.81[pu]).

[0063] A step change in the synchronous machine voltage phase (th_v) generates a transient DC component in the armature current (Is_a, Is_b, Is_c), and a pulsation component of the rotational frequency is added to the synchronous machine torque (T_g).

[0064] Immediately after the step change, the synchronous machine torque (T_g) and speed (N) undergo damped oscillations and both converge to the values ​​before the step. Moreover, the torsional phase difference of the synchronous machine converges to the value before the step change, as in FIG. 5 (th_ss=th_int=26.8 degrees). On the other hand, the rotation phase (th_g) converges with a lead of 2.5 degrees along with the voltage phase (th_v).

[0065] As described above, even if the voltage phase (th_p) of the AC system undergoes a step change, the voltage phase (th_v) and rotation phase (th_g) of the synchronous machine remain synchronized with the voltage phase (th_p) of the AC system, which is the reference for the inertial system. The torsional spring characteristics of the synchronous machine ensure synchronous speed operation in the inertial system.

[0066] Like Figure 5, Figure 7 shows the transient response when the prime mover torque changes stepwise from (T_l=1.0[pu]) to (T_l=0.9[pu]). However, the synchronous machine (SG) 101 is connected to a frequency converter (FC) 201 . The operating conditions before the step change are the same as those in FIG. 5, and so a description thereof will be omitted to avoid duplication.

[0067] In FIG. 7, it is assumed that the steady-state quadrature-axis current values ​​before and after a step change in the prime mover torque (T_l) have been measured in advance. At the same time as the step change in the prime mover torque (T_l) at time t=0, the quadrature axis current command (Iq_rf) is step-changed to a set value equivalent to the pre-measured value.

[0068] In Fig. 7, proportional-integral control is used for both the direct and quadrature axes as the current control system. The quadrature axis current value (Iq_fb) tracks up to about 60% of the step width of the quadrature axis current command (Iq_rf) in about 5 ms after a step change in the quadrature axis current command (Iq_rf) due to the proportional gain, and then tracks the command value in about 0.1 seconds due to the integral gain.

[0069] The synchronous machine torque (T_g) follows the step change of the prime mover torque (T_l) with a waveform almost similar to that of the quadrature axis current value (Iq_fb).

[0070] The active power (P_fb) converges to a constant value approximately 0.15 seconds after the step change.

[0071] The change in speed (N) is calculated by dividing the area enclosed by the time waveforms of the synchronous machine torque (T_g) and prime mover torque (T_l) by the inertia time constant (I_g). In Figure 7, the object decelerates (N=-0.0005[pu]) to a constant speed. The torsion spring effect does not exert a restoring force, so the object remains displaced from the inertial frame.

[0072] The torsional phase of the synchronous machine before the step response (th_int) is the same as in Figure 5 above, but because torsion due to the reactor is added, the phase of the frequency converter (th_c) lags behind the phase of the synchronous machine (th_v) by approximately 3 degrees.

[0073] Immediately after the step response, the frequency converter operates in a direction that makes the torsional phase of the synchronous machine converge to the value (th_ss) after the step. As a result, the phase (th_c) of the frequency converter changes in the leading direction.

[0074] Thereafter, since the torsional phase is held at the converged value after the step (th_ss) while the speed (N) remains shifted in the deceleration direction from the inertial system, the shift in the delay direction of the frequency converter phase (th_c) as well as the shift in the rotational phase (th_g) increases over time in the example of Figure 7.

[0075] As shown above in Fig. 7, when a conventional frequency converter is connected, the restoring force of the torsion spring of the synchronous machine becomes latent due to the control of the frequency converter. Since the phase (th_c) of the frequency converter, which should be the reference of the inertial system, itself shifts, synchronous speed operation in the inertial system due to the torsion spring characteristics of the synchronous machine cannot be maintained.

[0076] The second challenge is to ensure damping of vibration. The vibration damping effect of the synchronous machine (SG) 101 relies on the damper bar current. However, when connected to the frequency converter (FC) 201, the vibration damping effect due to the damper current is lost, and an alternative function is required.

[0077] In order to explain the vibration damping effect during synchronous speed operation, the end rings fastening both ends of the damper bar are removed and a comparison is made with the case where no damper bar current is passed.

[0078] FIG. 8 shows the transient response when the prime mover torque is changed stepwise from (T_l=1.0[pu]) to (T_l=0.9[pu]). The same numbers as in the previous Figures 1 to 7 have the same contents, and the operating conditions before the step change are also the same as in the previous Figure 5, so descriptions of both are omitted to avoid duplication.

[0079] The synchronous machine torque (T_g) after the step change rotates in a simple harmonic motion with the value before the step change (T_g = 1.0 [pu]) as its upper limit, centered around the central value of the prime mover torque (T_l = 0.9 [pu]), and no attenuation is observed during the period shown.

[0080] As in Figure 5, the voltage phase (th_v = 0 degrees) barely changes before and after the step change. The rotation phase (th_g) starts to vibrate simply, with almost no attenuation.

[0081] There is also almost no decay in the active power (P_fb) and speed (N). From the above, it can be seen that the vibration damping effect due to the torsional spring action of the synchronous machine torque (T_g) depends on the damper bar current.

[0082] Figure 9 shows the transient response when the prime mover torque changes stepwise from (T_l = 1.0 [pu]) to (T_l = 0.9 [pu]) as in Figure 7, with the synchronous machine (SG) 101 connected to the frequency converter (FC) 201 and no damper bar current flowing. The same symbols as in the previous Figures 1 to 8 have the same meanings, and the operating conditions before the step change are also the same as in Figure 7, so the explanation will be omitted to avoid duplication.

[0083] The step change in the quadrature axis current command (Iq_rf) is the same as in the previous Figure 7. The quadrature axis current value (Iq_fb) response is almost the same as in the previous Figure 7, and the effect of the damper bar current is minor. For the synchronous machine torque (T_g) response, the damper bar current acts in the magnetic flux maintaining direction, and is therefore an impediment to control. When the damper bar current is eliminated, the impediment disappears, and the control response improves compared to Figure 7.

[0084] When the damper bar current is eliminated, the synchronous machine torque (T_g) response improves, so the speed deceleration decreases from (N=-0.0005[pu]) to (N=-0.0002[pu]) compared to the previous Figure 7.

[0085] However, as in the previous Figure 7, the restoring force due to the torsion spring effect does not act, and the object remains misaligned with the inertial system.

[0086] From the above, it can be seen that when connecting the synchronous machine (SG) 101 to the frequency converter (FC) 201, it is necessary to ensure the vibration damping function of the rotary motion system by using an alternative means, regardless of the presence or absence of a damper bar.

[0087] The third issue is how to prevent the synchronous machine (SG) 101 from overheating. In the case of conventional frequency converter control, when the synchronous machine (SG) 101 is connected to the frequency converter (FC) 201, the vibration damping effect by the damper bar current is lost. On the other hand, every time the current command of the frequency converter changes, the damper bar current begins to flow even under operating conditions that did not occur during synchronous speed operation. It is necessary to prevent the accompanying overheating of the damper bar itself and the deterioration and melting of the surrounding iron core.

[0088] Originally, the damper bar is a component necessary for the torsional spring effect when a synchronous machine is operating. The spring effect only works due to external factors, and it is assumed that current only flows during the accompanying transient phenomenon. The structural and thermal design is based on this premise. Current flow during the control operation of the frequency converter, which is an internal factor, is not assumed. A measure to address this point is required.

[0089] When comparing the damper bar current waveforms (Id_1, Id_2, . . ., Id_7) in FIG. 7 with the previous damper bar current waveforms in FIG. 5, it can be seen that the effective current value has increased. When connected to a frequency converter (FC) 201, the damper bar current does not contribute to vibration damping, and current flows not only due to external factors such as changes in the prime mover torque (T_l), but also due to internal factors such as changing the current command value by frequency converter control.

[0090] The fourth issue is how to prevent loss of synchronism when the synchronous machine (SG) 101 is connected to the frequency converter (FC) 201 while ensuring the torsion spring effect. When the torsion spring effect is ensured by the frequency converter (FC) 201, the torsion spring effect is actively used, so the risk of loss of synchronism increases compared to when connected to an AC system, which uses the torsion spring effect passively.

[0091] The fifth challenge is to ensure the spring effect when the phase of the AC system suddenly changes. When the frequency converter (FC) 201 is interposed, the torsion spring effect of the synchronous machine (SG) 101 cannot be exerted when the phase of the AC system suddenly changes, and the system cannot be stabilized as in the conventional case.

[0092] The object of the present invention is to adopt a frequency converter that solves the above problems, thereby making the most of existing equipment that is based on synchronous speed operation by maintaining the torsion spring effect and vibration suppression effect of a synchronous machine, improving overall efficiency through variable speed operation, preventing loss of synchronism, which is a side effect inherent to the torsion spring effect, and increasing reliability. AC To provide a variable speed synchronous generator-motor device capable of exerting a torsion spring effect even when the phase on the system side changes suddenly. [Means for solving the problem]

[0093] In order to achieve the above-mentioned object, a target phase signal (th_soln) of the generator voltage or the generator side voltage of the frequency converter is generated, and compared with a phase measurement signal (th_sein) of the generator voltage or the generator side voltage of the frequency converter, a sine function (sin_dlt) of the phase displacement (dlt) of both is calculated and output, and the quadrature axis current command is biased by the sine function (sin_dlt), thereby preventing slip of the generator voltage phase and fixing the rotational speed to the frequency converter frequency while maintaining the torsional spring effect of the synchronous machine.

[0094] In order to achieve the above-mentioned object, the vibration due to the torsional spring effect of the synchronous machine can be damped by performing phase lead compensation by adding the time derivative of the calculation output (sin_dlt) or the phase lead element output to the quadrature axis current command.

[0095] In order to achieve the above-mentioned object, the damper bar overcurrent of a synchronous machine can be suppressed by suppressing the time rate of change of the frequency command of the target phase signal (th_soln) of the generator side voltage.

[0096] In order to achieve the above object, when the quadrature axis current command exceeds a predetermined range, the application of the quadrature axis current command by the calculation output (sin_dlt) is stopped, thereby making it possible to prevent loss of synchronism.

[0097] In order to achieve the above-mentioned object, a torsion spring effect can be exerted by biasing the fluctuation in the AC system voltage phase toward the target phase signal (th_soln) of the generator voltage or the generator side voltage of the frequency converter.

[0098] An example of the configuration of an apparatus for achieving the above object is shown in Fig. 10. The same numbers as in Fig. 1 and Fig. 2 have the same contents, and therefore the explanation will be omitted to avoid duplication.

[0099] The frequency converter (FC) 201 is input / output through a branch line 1001 for a speed signal (N_fB) 108, a measurement line 1002 for a generator voltage (Vg) 117, a measurement line 1003 for an AC system voltage (Vs) 129, a command line 1004 for an optimal speed command (N_opt) 116, and a command line 1005 for an output command (P_rf) 113.

[0100] The power sensor (P_sen) 1008 measures and calculates the effective power (P_fb) 1009 from the generator current (Ig) 1007 and the generator voltage (Vg) 117 from the current transformer 1006, and compares it with the output command (P_rf) 113. , with frequency converter (FC) Adjust.

[0101] In FIG. 10, a static head signal (H_st) 1010 is input to a hydraulic turbine characteristic function generator (FN_GV) 112, which outputs an optimum guide vane opening (GV_opt) 114 that realizes the highest efficiency of the hydraulic turbine according to the static head.

[0102] In addition, a second hydraulic turbine characteristic function generator (FN_WT) 1011 is provided, which inputs an optimal speed command (N_opt) 116 to the speed regulator (ASR) 106 and the frequency converter (FC) 201 in response to the output command (P_rf) 113 and the static head signal (H_st) 1010 .

[0103] To achieve the objectives of the present invention, measuring instruments, function generators, and signal lines are added as described above. However, the added parts shown in Figures 2 and 10 have a primary system and secondary system relationship with the existing parts in Figure 1.

[0104] That is, the existing section becomes the main system and inputs a command output or a branch output to the additional section, but there is no command output from the additional section to the existing section. The above primary and secondary system configuration enables the desired objectives to be achieved while minimizing modifications and adjustments to existing facilities. Effect of the Invention

[0105] The variable speed synchronous machine of the present invention can achieve variable speed operation while taking advantage of the spring effect of conventional synchronous machines, and can utilize existing equipment as is, thereby reducing the cost of modifying equipment and the opportunity loss during downtime associated with the modification, and improving operational efficiency after the modification. [Brief description of the drawings]

[0106] [Figure 1] FIG. 1 is a diagram showing an example of the configuration of a conventional power generation facility using a synchronous machine. [Diagram 2] FIG. 2 is a diagram showing a configuration example of a primary variable speed system in which a frequency converter is connected to a conventional power generation facility. [Diagram 3] FIG. 3 is a diagram showing the operating principle of a synchronous machine connected to an AC system. [Figure 4] FIG. 4 is a diagram showing the operating principle of a synchronous machine connected to a conventional frequency converter. [Diagram 5] FIG. 5 is a diagram showing operational waveforms when the load torque is changed stepwise in a synchronous machine connected to an AC system. [Figure 6] FIG. 6 is a diagram showing operational waveforms of a synchronous machine connected to an AC system when the voltage phase of the AC system undergoes a step change. [Figure 7] FIG. 7 is a diagram showing operational waveforms when the load torque is changed stepwise in a synchronous machine connected to a conventional frequency converter. [Figure 8]FIG. 8 is a diagram showing operational waveforms when the load torque is changed stepwise in a state where no current flows through the damper bar of a synchronous machine connected to an AC system. [Figure 9] FIG. 9 is a diagram showing operational waveforms when the load torque is changed stepwise in a state where no current flows through the damper bar of a synchronous machine connected to a conventional frequency converter. [Figure 10] FIG. 10 is a diagram showing an example of the configuration of a power generation facility using the variable speed synchronous machine of the present invention. [Figure 11] FIG. 11 is a diagram showing a configuration of an embodiment of claim 1 of the present invention. [Figure 12] FIG. 12 is a diagram showing operational waveforms when the load torque is changed stepwise in the embodiment of claim 1 of the present invention. [Figure 13] FIG. 13 is a diagram showing a configuration of an embodiment of claim 2 of the present invention. [Figure 14] FIG. 14 is a diagram showing the operation of the embodiment of claim 2 of the present invention, and is a diagram showing operational waveforms when the speed command is changed stepwise. [Figure 15] FIG. 15 is a diagram showing a configuration of an embodiment of claim 3 of the present invention. [Figure 16] FIG. 16 is a diagram showing the operation mode switching according to an embodiment of claim 3 of the present invention. [Figure 17] FIG. 17 is a diagram showing the operation of the embodiment of claim 3 of the present invention, and is a diagram showing operational waveforms when switching between the synchronous operation mode and the variable speed mode when the load torque suddenly changes. [Figure 18] FIG. 18 is a diagram showing a configuration of an embodiment of claim 4 of the present invention. [Figure 19] FIG. 19 is a diagram showing the operation of the embodiment of claim 4 of the present invention, and is a diagram showing operational waveforms when the voltage phase of the AC system changes stepwise. [Figure 20] FIG. 20 is a diagram showing the configuration of an embodiment that combines claims 2, 3, and 4 of the present invention. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS

[0107] DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS Hereinafter, preferred embodiments of a variable speed synchronous generator-motor according to the present invention will be described in detail with reference to the accompanying drawings. However, the present invention is not limited to these preferred embodiments. EXAMPLES

[0108] The configuration of the embodiment of claim 1 of the present invention will be described with reference to FIG.

[0109] A rotation phase detector (RPD) 1101 outputs two-phase rotation phases (th_g) of the synchronous machine (SG) 101 by a rotation speed detector or a resolver device. The generator voltage signals (Vg_a, Vg_b, Vg_c) and the rotation phase (th_g) from the potential transformer 118 are input and converted into dq-axis generator voltage signals (Vg_d, Vg_q) by a coordinate converter (abc / dq) 1102. A coordinate converter (abc / dq) 1102 performs the calculation of formula (5).

[0110]

number

[0111] The dq-axis generator voltage signals (Vg_d, Vg_q) are input to a phase calculator (NRM) 1103, which calculates the amplitude-standardized two-phase voltage phase (dt_Vg). The phase calculator (NRM) 1103 performs the calculation of the formula (6).

[0112]

number

[0113] The phase calculator (NRM) 1103 includes a low-frequency filter function. It outputs the signal after removing harmonic components caused by the switching of the power semiconductor elements that constitute the frequency converter and that are included in the dq-axis generator voltage signals (Vg_d, Vg_q).

[0114] The two-phase voltage phase (dt_Vg) and the rotation phase (th_g) are input to a phase adder (PAD) 1104, which calculates a two-phase voltage phase signal (th_sein) that rotates at the generator voltage frequency. A phase adder (PAD) 1104 performs the calculation of equation (7).

[0115]

number

[0116] According to the above embodiment, by performing calculation via the two-phase rotation phase (th_g), there is an effect of accurately outputting the phase while removing high frequency components even when the frequency deviates from the AC system frequency.

[0117] The cosine signal of the two-phase voltage phase signal (th_sein) is input to a phase-locked loop (PLL_th) 1105 .

[0118] In the case of the application of the present invention, the function of the phase-locked loop (PLL_th) 1105 can be realized by software that applies a discrete Fourier transform (DFT) with a calculation period of 10 to 40 microseconds on a microcomputer that is available on the market at the time of filing. Patent Document 2 discloses software that applies the discrete Fourier transform (DFT) to quickly and accurately detect the amplitude, phase, and frequency of a variable frequency signal. In order to clearly and concisely explain the functions, the description will be given by dividing the circuit into virtually known functional elements.

[0119] The input signal passes through a comparator (CMP) 1106, a phase frequency detector (PFD) 1107, a charge pump (CHP) 1108, and a low pass filter (LPF) 1109, and a voltage detection frequency (N_sein) 1110 is output.

[0120] A voltage target frequency (N_soln) 1112 is input to a voltage controlled oscillator (VCO) 1111, and a two-phase voltage target phase signal (th_soln) 1133 is output.

[0121] The phase subtractor (PDF) 1113 outputs the phase displacement (dlt) 1115 of the voltage phase signal (th_sein) 1134 and the voltage target phase signal (th_soln). The phase subtractor (PDF) 1113 performs the calculation of formula (8).

[0122]

number

[0123] In the variable speed mode, a switch 1114 selects and outputs a voltage target frequency (N_soln) 1112 from its a-side terminal.

[0124] Hereinafter, in the embodiments of the present application, the switch selects and outputs the a side in the case of an operation mode (variable speed mode) that does not use the torsion spring effect, and the s side in the case of an operation mode (synchronous machine mode) that does use the torsion spring effect.

[0125] In the case of the variable speed mode, the voltage detection frequency (N_sein) 1110 is selected and output. In the case of the synchronous machine mode, a previous value holder 1132 holds and outputs the value of the voltage detection frequency (N_sein) 1110 immediately before switching to the synchronous machine mode.

[0126] The phase subtractor (PDF) 1113 performs the calculation of equation (9).

[0127]

number

[0128] A sine signal of the phase displacement (dlt) 1115 output from the phase subtractor (PDF) 1113 is input to a phase lead compensator 1116 . In the configuration of this embodiment, the phase lead compensator 1116 is made up of a proportional gain (Kp) 1117 and a differential gain (Kd) 1118 .

[0129] The output of the phase lead compensator 1116 is input to the synchronous machine mode side (s) of a switch 1120 as a quadrature axis current command correction (Iq_ad) 1119 . In the variable speed mode, the switch 1120 selects and outputs a 0 level signal.

[0130] The active power regulator 1121 inputs the output command (P_rf) 113 branched off from the command line 1005 in FIG. 10 and the active power (P_fb) 1009 in a matched manner. The output of the active power regulator 1121 becomes a quadrature axis current command (Iq_rf) 1122 in the variable speed mode.

[0131] The active power regulator 1121 of this embodiment is a proportional-integral controller, which is made up of a proportional gain (Cp) 1128 and a digital integrator. The digital integrator is determined by the calculation period (ΔT) and the integration time constant (Tp) integral It consists of a gain (ΔT / Tp) 1123 , a previous value holder (D) 1124 and an adder 1125 .

[0132] In this embodiment, the limiter 1126 suppresses the quadrature axis overcurrent, and the limiter 1127 advances the start of the integral operation when recovering from the quadrature axis overcurrent.

[0133] In the variable speed mode, the a side of the switches 1129 and 1130 is selected, and the output of the limiter 1126 of the active power regulator 1121 is output as the quadrature axis current command (Iq_rf) 1122 .

[0134] In the case of the synchronous machine mode, the s side is selected for the switches 1129 and 1130. The output of the previous value holder 1131 is held at the output of the limiter 1126 immediately before switching to the synchronous machine mode.

[0135] The output of the switch 1129 whose output is held is biased as the output of the phase lead compensator 1116 via the s side of the switch 1120 as the quadrature axis current command correction (Iq_ad) 1119, and is output via the s side of the switch 1130 as the quadrature axis current command (Iq_rf) 1122.

[0136] The operation of the above-mentioned configuration when the present invention is applied to the hydroelectric power generation facility shown in FIG. 10 will be described.

[0137] The procedure from starting the water turbine (WT) 104 to generating electricity in the AC system (PS) 103 via the frequency converter (FC) 201 will be described. The same numbers as in the previous Figures 1, 2, and 10 have the same contents, and the explanation will be omitted to avoid duplication.

[0138] The synchronous circuit breaker (CB) 102 is closed, and the frequency converter (FC) 201 is connected to the AC system (PS) 103. The load switch (LS) 202 is in an open state. If the capacitor of the frequency converter (FC) 201 has already been discharged, it is charged by the initial charging circuit to prepare it for electrical conduction.

[0139] The power command (P_rf) 113 is held at a minimum value near zero, and an inlet valve installed upstream of the guide vanes is opened to start the water turbine (WT) 104. The speed regulator (ASR) 106 accelerates the turbine to an optimal speed command (N_opt) 116 corresponding to the minimum power command near zero. During acceleration, the exciter (EXC) 124 is started, and the automatic voltage regulator (AVR) 121 raises the generator voltage (Vg) 117 to the generator voltage command (Vg_rf) 122 . Here, by setting the generator voltage command (Vg_rf) 122 to a value proportional to the optimal speed command (N_opt) 116, there is an effect of preventing overload of the generator and the exciter.

[0140] After the generator voltage (Vg) 117 starts up, the frequency converter (FC) 201 starts up in variable speed mode.

[0141] Since the output command (P_rf) 113 is held at a minimum value near zero, the quadrature axis current command (Iq_rf) 1122 from the active power regulator 1121 also becomes a minimum value close to zero.

[0142] Since the transient phenomenon occurring when the frequency converter (FC) 201 starts up converges within 100 milliseconds, the variable speed mode is switched to the synchronous machine mode by timer operation without waiting for a response signal from the frequency converter (FC) 201.

[0143] Next, the output command (P_rf) 113 is increased and the guide vane opening signal (GV_fB) 111 is also increased, and the output of the water turbine (WT) 104 is settled at the output command (P_rf) 113 .

[0144] During this time, the rotation speed of the synchronous machine (SG) 101 is maintained at the optimal speed command (N_opt) 116 by the torsion spring characteristics. Therefore, the first and second problems can be solved and the initial objective can be achieved without modifying or adjusting the water turbine (WT) 104 such as the speed regulator (ASR) 106.

[0145] The operation of FIG. 11 will be explained below with reference to the waveforms shown in FIG. For comparison with the previous Figs. 5 and 9, Fig. 12 shows the transient response when the prime mover torque is step-changed from (T_l=1.0 [pu]) to (T_l=0.9 [pu]) under the same step conditions. The same numbers as in the previous Figures 5 and 9 denote the same contents, and the description will be omitted to avoid duplication.

[0146] At the same time as the step change in the prime mover torque (T_l) at time t = 0, the phase displacement (dlt) starts to change in the negative direction. This is because the rotation phase (th_g) starts to lag due to the sudden decrease in the prime mover torque (T_l), which is the acceleration torque.

[0147] Due to the change in the phase displacement (dlt) 1115, the quadrature axis current command correction (Iq_ad) 1119 also starts to change from 0 in the negative direction. In the synchronous machine mode, the output of the active power regulator 1121 is held, so that the quadrature axis current command (Iq_rf) 1122 also starts to change in the negative direction. As a result, the generator torque (T_g), which is the braking torque, also decreases and becomes smaller than the prime mover torque (T_l), causing acceleration.

[0148] The oscillations in the velocity (N) are damped by the phase lead compensator 1116 and converge to the value before the step change.

[0149] Comparing with Figure 5, the convergence values ​​of the speed (N) and active power (P_fb) are the same, and the torsion spring effect, which was the initial objective, is apparent.

[0150] On the other hand, the rotation phase (th_g) converges so as to deviate from the inertial system as shown in Fig. 9. However, the converged value is about 5 degrees behind that before the step change, which is larger than the 2.3 degrees in Fig. 5.

[0151] This difference is because the generator voltage phase (th_v) is fixed to the AC system in Fig. 5, whereas the voltage phase (th_c) of the frequency converter (FC) 201 lags behind by about 2.5 degrees in Fig. 12. This value is equal to the convergence value of the phase displacement (dlt) 1115.

[0152] The convergence value of this phase displacement (dlt) 1115 increases or decreases depending on the proportional gain of the phase lead compensator 1116 . The proportional gain is set based on the inverse of the direct axis reactance (Xd) of the synchronous machine. Increasing the proportional gain reduces the convergence value, which results in an equivalent change in the direction of increasing the short circuit ratio of the synchronous machine. However, the upper limit of the proportional gain is limited by hunting in the control system, etc. In reality, it is not possible to suppress the drift of the phase displacement (dlt) to zero.

[0153] As described above, it can be seen that the waveforms of the generator voltage phase (th_v) and the frequency converter voltage phase (th_c) in FIG. 12 move in parallel. Due to this fact, in the embodiment of the present invention, the generator voltage signals (Vg_a, Vg_b, Vg_c) from the potential transformer 118 are input to the coordinate converter (abc / dq) 1102. However, it is obvious that in another embodiment, the voltage signal of the frequency converter may be input to the coordinate converter (abc / dq) 1102. This embodiment has the effect of reducing external connections by inputting the voltage of the frequency converter itself. This method is suitable for use in the case of using a multilevel converter with few output voltage harmonics. Conversely, when a two-level or three-level converter with relatively large output voltage harmonics is used as the frequency converter, the dq-axis voltage command to the frequency converter may be used instead of the two-phase voltage phase (dt_Vg) which is the output of the phase calculator (NRM) 1103. This embodiment has the effect of stabilizing control even in the case of a frequency converter that contains many harmonics.

[0154] The configuration of an embodiment of claim 2 of the present invention will be described with reference to FIG. The same numbers as in the previous Figures 1, 10, and 11 have the same contents, and the explanation will be omitted to avoid duplication.

[0155] Speed ​​regulation during synchronous operation is achieved by matching the voltage target frequency (N_soln) 1112 to the optimal speed command (N_opt) 116 which is the branched input of the output of the second hydraulic turbine characteristic function generator (FN_WT) 1011 . However, a sudden change in the voltage target frequency (N_soln) 1112 may not only cause the synchronous machine to step out, but may also cause the damper bar to overheat, as will be described later with reference to FIG. For this reason, it is necessary to suppress a sudden change in the voltage target frequency (N_soln) 1112 by the following configuration.

[0156] The one-shot input switch 1301 always selects and outputs the R side, and selects and outputs the One_shot side only during one calculation cycle in which the variable speed mode is switched to the synchronous machine mode.

[0157] The following describes the calculation operation when the one-shot input switch 1301 selects and outputs the R side.

[0158] The limiter 1302 outputs the same value as the input x when the absolute value of the input x is equal to or less than a set value, and limits the output to a constant value with the same sign as the input x when the absolute value of the input x exceeds the set value.

[0159] When limiter 1302 outputs the same signal as the input, adder 1305 and previous value holder (D) 1306 output the integral operation result of the output of limiter 1302 to the s side of switch 1307 via the R side of one-shot input switch 1301.

[0160] The calculation period is ΔT, integral A previous value holder (D) 1306 outputs a signal simulating a first-order delay of a time constant (Tn) having an optimal speed command (N_opt) as an input to the s side of a switch 1307 by a gain (ΔT / Tn) 1304 and a subtractor 1303 .

[0161] In the variable speed mode, the switch 1307 selects and outputs the a side, so the voltage target frequency (N_soln) 1112 is the previous value holder (D) 1306 influence not receive .

[0162] When switching from the variable speed mode to the synchronous machine mode, the one-shot input switch 1301 selects and outputs the One_shot side, and outputs the voltage detection frequency (N_sein) 1110 .

[0163] The change in output to the s side of the switch 1307 falls within a range that is the upper and lower limits of the positive and negative limit values ​​of the limiter 1302 centered around the voltage detection frequency (N_sein), and is output as the voltage target frequency (N_soln) 1112 .

[0164] If there is a large deviation between the optimal speed command (N_opt) 116 and the voltage detection frequency (N_sein) 1110 at the time of switching, or if the optimal speed command (N_opt) 116 changes suddenly, the output of the limiter 1302, which is input to the digital integrator, is limited, and the output change to the s side of the switch 1307 is limited.

[0165] FIG. 14 shows the operational waveforms when the above-mentioned limit on output change is removed and the voltage target frequency (N_soln) 1112 is stepped up by 0.01 [pu]. The operating conditions and control configuration before the step change are the same as in FIG. The same numbers as in the previous FIG. 12 denote the same contents, and explanations will be omitted to avoid duplication.

[0166] At time t=0, the voltage target frequency (N_soln) 1112 is stepped up by 0.01 [pu]. The rotation phase (th_g), generator voltage phase (th_v), and converter voltage phase (th_c) indicate the phases observed from the inertia frame before the step change. When viewed from a stationary system, the inertia frame before the change rotates at the voltage detection frequency (N_sein).

[0167] After the step change, the above phases move linearly away from the inertia frame before the step change, but the phase differences between the rotation phase (th_g), generator voltage phase (th_v), and converter voltage phase (th_c) are maintained.

[0168] When the above phase change is observed from a coordinate system rotating at the voltage target frequency (N_soln) instead of the voltage detection frequency (N_sein), it appears as if the phase change is operating in an inertial frame.

[0169] The above phase change can be considered as the operation of a quasi-inertia frame rotating at the voltage target frequency (N_soln).

[0170] From the viewpoint of controlling the frequency converter 201, as long as synchronization is maintained on the rotating coordinate system, whether in an inertia frame or a quasi-inertia frame, the torsion spring effect of the synchronous machine (SG) 101 is exerted.

[0171] As described above, according to the embodiment of FIG. 13, by adjusting the voltage target frequency (N_soln) 1112, variable speed operation can be performed while maintaining the torsion spring effect of the synchronous machine 101.

[0172] 14, the settling time of the speed (N) is about 1.5 [seconds]. When converted to a step size of 1 [pu] of the voltage target frequency (N_soln) 1112, this corresponds to 150 [seconds]. When the rate of change of the output command (P_rf) 113 of a hydroelectric power plant or a wind power plant is displayed as time converted into a step size of 1 [pu], it is often less than 50 [seconds] to about 120 seconds, and the numerical example in Figure 14 is not necessarily large as a step size of the speed command.

[0173] Looking at the phase displacement (dlt) in Figure 14, the amplitude is only about 6 degrees. In the operating state before the step, there is still 60 degrees left until the step-out limit, so there is plenty of control margin.

[0174] However, the damper bar current waveform reaches 3 [pu] at the leading edge in the direction of rotation (Id_1), and if this continues for 150 [seconds], there is a high risk of the damper bar overheating and melting.

[0175] As shown in Figure 14, the damper bar current varies depending on the installation location on the rotor. During generating operation, the current is concentrated on the bar at the front in the direction of rotation, and during motoring operation, the current is concentrated on the bar at the rear in the direction of rotation.

[0176] When the synchronous machine (SG) 101 is driven by a pump turbine to generate electricity, the direction of rotation is reversed during power generation and motor operation. As a result, the current is biased from the center of the rotor core to the damper bar in one direction, increasing the risk of overheating and deterioration, including around the damper bar.

[0177] In order to avoid the above-mentioned dangers, it is necessary to suppress the time rate of change of the voltage target frequency (N_soln). For this purpose, the change rate suppression circuit shown in FIG. 13 is effective.

[0178] The configuration of an embodiment of claim 3 of the present invention will be described with reference to FIG. The same numbers as in the previous Figures 1, 10, and 11 denote the same contents, and therefore descriptions thereof will be omitted to avoid duplication.

[0179] An operation mode selector 1501 outputs three signals: a synchronous machine mode selection (s) 1507 , a variable speed mode selection (a) 1508 , and an emergency stop command (e) 1509 . An operation mode selector 1501 sets one of the above three signals to level 1 and the remaining two to level 0, and outputs them.

[0180] When the synchronous machine mode selection (s) 1507 or the variable speed mode selection (a) 1508 is at level 1, the switches 1114, 1120, 1129, 1130 and a one-shot input switch 1503 described below are selected and output.

[0181] When the emergency stop command (e) 1509 is level 1, the guide vane opening command (GV_rf) 110 is narrowed down to 0, the frequency converter (FC) 201 is stopped, and the synchronous circuit breaker (CB) 102 is opened.

[0182] An operation mode selector 1501 receives as input a voltage detection frequency (N_sein) 1110, a quadrature axis current command (Iq_rf) 1122, and an operation mode command (SW_rf) 1502 from the outside. The operation mode command (SW_rf) 1502 is level 1 in the synchronous machine mode and level 0 in the variable speed mode.

[0183] One-shot input switch 1503 normally selects and outputs the R side, and selects and outputs the One_shot side only for one calculation cycle in which synchronous machine mode selection (s) 1507 switches from level 1 to level 0 and variable speed mode selection (a) 1508 switches from level 0 to level 1.

[0184] The previous value holder (D) 1504 has the same function as the above-mentioned previous value holder (D) 1124, and constitutes a digital integrator of the active power regulator 1121. However, the output of the previous value holder (D) 1504 is connected to the R side of the one-shot input switch 1503.

[0185] A previous value holder (D) 1505 receives an input of a quadrature axis current command (Iq_rf) 1122 , compares the output with the output of a proportional gain (Cp) 1128 in a subtractor 1506 , and connects it to the One_shot side of a one-shot input switch 1503 .

[0186] The above configuration can prevent a sudden change in the quadrature axis current command (Iq_rf) 1122 when the operation mode selector 1501 switches from the synchronous machine mode selection (s) 1507 to the variable speed mode selection (a) 1508. This has the effect of preventing a sudden change in the torque of the synchronous machine (SG) 101 at the time of switching.

[0187] FIG. 16 is a diagram showing an embodiment of the operation mode selector 1501. The same numbers as in the previous Figures 11 and 15 denote the same contents, and the explanation will be omitted to avoid duplication.

[0188] A comparator with hysteresis 1601 outputs a comparator output (SW_i) 1604 to a truth table 1603 at level 1 when the absolute value of the quadrature axis current command (Iq_rf) 1122 is equal to or less than a set value (Iq_max), and outputs a level 0 output when the absolute value exceeds the set value (Iq_max).

[0189] A comparator with hysteresis 1602 outputs a comparator output (SW_n) 1605 to a truth table 1603 as level 1 when the voltage detection frequency (N_sein) 1110 is within the setting range between the minimum setting value (N_min) and the maximum setting value (N_max), and outputs level 0 when it exceeds the setting range.

[0190] The truth table 1603 inputs three signals, namely, the operation mode command (SW_rf) 1502, the comparator output (SW_i) 1604, and the comparator output (SW_n) 1605, and outputs three signals, namely, the synchronous machine mode selection (s) 1507, the variable speed mode selection (a) 1508, and the emergency stop command (e) 1509.

[0191] The truth table 1603 outputs the above-mentioned three signals according to row numbers 1 to 8 of the table based on the combination of three two-level signals.

[0192] As shown in lines 1 and 3, when the operation mode command (SW_rf) 1502 is variable speed mode (level 0), if the voltage detection frequency (N_sein) 1110 is within the set range and the comparator output (SW_n) 1605 is level 0, the variable speed mode selection (a) 1508 is output at level 1 according to the operation mode command.

[0193] As shown in lines 7 and 8, when the operation mode command (SW_rf) 1502 is the synchronous machine mode (level 1), if the absolute value of the quadrature axis current command (Iq_rf) 1122 is less than the set value (Iq_max) and the comparator output (SW_i) 1604 is level 1, the synchronous machine mode selection (s) 1507 is output at level 1 according to the operation mode command.

[0194] As shown in line 4, if the absolute value of the quadrature axis current command (Iq_rf) 1122 is below the set value (Iq_max) and the comparator output (SW_i) 1604 is at level 1, and if the voltage detection frequency (N_sein) 1110 is outside the set range and the comparator output (SW_n) 1605 is at level 1, the synchronous machine mode selection (s) 1507 is output at level 1 even if the operation mode command (SW_rf) 1502 is in variable speed mode (level 0).

[0195] According to the embodiment of the present invention, there is an effect of preventing the rotation speed of the synchronous machine (SG) 101 from deviating from a set range.

[0196] As shown in line 5, when the absolute value of the quadrature axis current command (Iq_rf) 1122 exceeds the set value (Iq_max) and the comparator output (SW_i) 1604 is at level 0, and when the voltage detection frequency (N_sein) 1110 is within the set range and the comparator output (SW_n) 1605 is at level 0, the variable speed mode selection (a) 1508 is output at level 1 even if the operation mode command (SW_rf) 1502 is the synchronous machine mode (level 1).

[0197] According to the embodiment of the present invention, there is an effect of suppressing an overcurrent in the synchronous machine (SG) 101 and preventing loss of synchronism in the synchronous machine mode.

[0198] As shown in lines 2 and 6, if the absolute value of the quadrature axis current command (Iq_rf) 1122 exceeds the set value (Iq_max) and the comparator output (SW_i) 1604 is at level 0, and if the voltage detection frequency (N_sein) 1110 is outside the set range and the comparator output (SW_n) 1605 is at level 1, an emergency stop command (e) 1509 is output at level 1 regardless of the output level of the operation mode command (SW_rf) 1502.

[0199] According to the embodiment of the present invention, since an uncontrollable state of the synchronous machine (SG) 101 by the frequency converter (FC) 201 is quickly detected and a stop operation is initiated, there is an effect of ensuring reliability and safety.

[0200] FIG. 17 shows operational waveforms according to the third embodiment of the present invention. The same numbers as in the previous Figures 11, 12, and 15 denote the same contents, and explanations will be omitted to avoid duplication.

[0201] The waveforms shown are those when the torque (T_l) of the hydro turbine (WT) 104 suddenly increases during synchronous machine operation, the absolute value of the quadrature axis current command (Iq_rf) 1122 exceeds the set value (Iq_max), the mode switches to variable speed mode, and the torque (T_l) suddenly decreases and the mode returns to synchronous machine mode.

[0202] The prime mover torque (T_l) increases linearly from time 0 [seconds] to time 1.0 [seconds], then decreases linearly to time 1.2 [seconds], returning to the value at time 0 [seconds].

[0203] The phase displacement (dlt) 1115 increases in the positive direction as the prime mover torque (T_l) increases, and the quadrature axis current command correction (Iq_ad) 1119 also increases in the positive direction. As a result, the quadrature axis current command (Iq_rf) 1122 also increases and exceeds the set value (Iq_max) set to 1.5 [pu] in FIG. 17 at time 0.555 [seconds], and the variable speed mode selection (a) 1508 becomes level 1, switching to the variable speed mode.

[0204] When the switch 1120 switches to the variable speed mode, the quadrature axis current command correction (Iq_ad) 1119 changes stepwise to 0 output.

[0205] The one-shot input switch 1503 selects and outputs the One_shot side only for one calculation cycle when the variable speed mode selection (a) 1508 switches from level 0 to level 1 at time 0.555 [seconds], so the output of limiter 1127, which is the digital integrator output of the active power regulator 1121, does not change suddenly, and the quadrature axis current command (Iq_rf) 1122 output via switch 1129 and the a side of switch 1120 also changes continuously.

[0206] When the variable speed mode is entered, the switch 1114 selects and outputs the a side, and a voltage detection frequency (N_sein) 1110 is input to the voltage controlled oscillator (VCO) 1111 .

[0207] In variable speed mode, the voltage target frequency (N_soln) 1112 tracks the voltage sense frequency (N_sein) 1110 .

[0208] The phase shift (dlt) 1115 returns to 0 according to the tracking characteristics of the input signal constituting the phase-locked loop (PLL_th) 1105, the comparator (CMP) 1106, the phase frequency detector (PFD) 1107, the charge pump (CHP) 1108, and the low-pass filter (LPF) 1109. 1 At 7, it took 0.0167 seconds to return to 0.

[0209] According to an embodiment of the present invention, the phase displacement (dlt) is returned to 0 by the phase-locked loop (PLL_th) 1105 every time the mode is switched to the variable speed mode, which has the effect of allowing stable operation to continue even when the mode is repeatedly switched between the synchronous machine mode and the variable speed mode.

[0210] When the variable speed mode is entered at time 0.555 [seconds], the active power regulator 1121 reduces the quadrature axis current command (Iq_rf) 1122 so as to reduce the active power (P_fb) 1009 to the output command (P_rf) 113, and at time 1.25 [seconds], the active power falls below the setting value (1.0 [pu]) of the hysteresis comparator 1601, and the mode switches back to synchronous machine mode.

[0211] When switching to the synchronous machine mode, the voltage target frequency (N_soln) 1112 is held at the voltage detection frequency (N_sein) 1110 at the time of switching.

[0212] The voltage detection frequency (N_sein) 1110 has an effect of suppressing vibrations inside the frequency converter (FC) 201 and ensuring stability by providing a phase delay with respect to the speed signal (N_fB) 108.

[0213] The deviation between the voltage detection frequency (N_sein) 1110 and the speed signal (N_fB) 108 occurs due to a phase delay. To Therefore The deviation of the steady state It can be corrected.

[0214] When the mode switches back to synchronous machine mode at time 1.25 seconds, the phase displacement (dlt) 1115 begins to change from 0, the quadrature axis current command correction (Iq_ad) 1119 also changes, and the quadrature axis current command (Iq_rf) 1122 settles the speed (N) to the voltage target frequency (N_soln) 1112, and also settles the phase difference (th_g-th_c) between the rotational phase (th_g) of the synchronous machine and the voltage phase (th_c) of the frequency converter.

[0215] This phase difference (th_g-th_c) setting value is determined by the torque of the synchronous machine and is therefore almost the same as before the step change at time 0, but the voltage phase (th_c) of the frequency converter itself is sliding.

[0216] In addition, the speed (N) also reaches equilibrium at a value 0.04 [pu] higher than before the step change.

[0217] As a result, according to an embodiment of the present invention, the synchronous machine (SG) 101 controlled by the frequency converter 201 can be interpreted as shifting from the rotational phase reference (N_sein system), which is the inertia frame before the step change, to a new rotational phase reference (N_sein system) in which the rotational speed changes. When the synchronous machine (SG) 101 is controlled in the synchronous machine mode of the frequency converter 201, it can be considered that the synchronous machine (SG) 101 is controlled by a synchronizing force with the target frequency reference (N_soln system) as a quasi-inertia frame.

[0218] In the embodiment of the present invention, the rotation speed during settling deviates from the value before the step change, but by using the configuration of the second embodiment in combination, it is possible to return the rotation speed to the value before the step change.

[0219] In the embodiment of FIG. 15 and FIG. 16, a quadrature axis current command (Iq_rf) 1122 is used as an input to a comparator with hysteresis 1601 , and a voltage detection frequency (N_sein) 1110 is used as an input to a comparator with hysteresis 1602 .

[0220] As explained in the previous paragraph

[0028] , the relationship is "voltage = proportionality coefficient x rotation speed." From this, it is obvious that the generator voltage command (V_rf) 122 or the generator voltage (Vg) 117 may be used instead of the voltage detection frequency (N_sein) 1110 .

[0221] Similarly, as explained in the previous paragraph

[0028] , there is the relationship "torque = proportionality coefficient x current." From this, it is self-evident that the output command (P_rf) 113 or the active power (P_fb) 1009 may be used in place of the quadrature axis current command (Iq_rf) 1122 .

[0222] The configuration of an embodiment of claim 4 of the present invention will be described with reference to FIG.

[0223] The oscillator (OSC) 1801 outputs a two-phase signal [cos(th_0), sin(th_0)] of the reference frequency of the AC system (PS) 103 .

[0224] A coordinate converter (abc / dq) 1802 receives the AC system voltage signals (Vs_a, Vs_b, Vs_c) 1003 from the potential transformer 128 and two-phase signals [cos(th_0), sin(th_0)] and converts them into dq-axis AC voltage signals (Vs_d, Vs_q).

[0225] The coordinate converter (abc / dq) 1802 performs the calculation of formula (10).

[0226]

number

[0227] In a steady state, the dq-axis AC voltage signals (Vs_d, Vs_q) have waveforms that are close to DC signals with zero frequency.

[0228] A dq-axis AC voltage signal (Vs_d, Vs_q) is input to a first low-pass filter (LPF_H) 1803 and a second low-pass filter (LPF_L) 1804 , and the outputs of each are output to phase calculators (NRM) 1805 and 1806 .

[0229] The characteristic frequency of the first low-pass filter (LPF_H) 1803 is set higher than the characteristic frequency of the second low-pass filter (LPF_L) 1804 .

[0230] The characteristic frequency of the first low-pass filter (LPF_H) 1803 is a frequency required for calculating the positive phase component of the AC system voltage signal. When the first low-pass filter (LPF_H) 1803 is realized by a moving average, the moving average interval length is set to a half cycle or one cycle of the reference frequency of the AC system (PS) 103 .

[0231] The characteristic frequency of the second low-pass filter (LPF_L) 1804 is a frequency required for extracting and calculating the fluctuation of the positive-phase component of the AC system voltage signal, and is set according to the combined moment of inertia (I_g) of the synchronous machine and turbine. When the second low-pass filter (LPF_L) 1804 is realized by a moving average, the moving average interval length is set to approximately 0.1 [seconds] to 1.0 [seconds].

[0232] A phase calculator (NRM) 1805 and a phase calculator (NRM) 1806 each calculate and output two-phase voltage phases (dt_Vh) and (dt_Vl) whose amplitudes have been standardized, similar to the previous phase calculator (NRM) 1103 .

[0233] The phase subtractor (PDF) 1807 outputs the phase difference (dlt_Vs) between the AC voltage phase (dt_Vh) and the AC voltage phase (dt_Vl). The phase subtractor (PDF) 1807 performs the calculation of formula (11).

[0234]

number

[0235] With the above configuration, the phase difference (dlt_Vs) corresponds to the voltage phase fluctuation of the AC system.

[0236] The phase adder (PAD) 1808 inputs the two-phase signal [cos(th_Vx), sin(th_Vx)] from the voltage controlled oscillator (VCO) 1111 and the two-phase signal [cos(dlt_Vs), sin(dlt_Vs)] from the phase subtractor (PDF) 1807, and performs phase calculation according to equation (12).

[0237]

number

[0238] The coefficient (Cv) in formula (12) is set to be larger as the impedance of the reactor element provided between the frequency converter (FC) 201 and the synchronous machine (SG) 101 increases and as the direct axis reactance (Xd) of the synchronous machine (SG) 101 increases. In the embodiment of the present invention, the sign of the coefficient (Cv) is negative, and its absolute value is approximately in the range of 1.0 to 2.0.

[0239] With the above configuration, the voltage phase fluctuation (dlt_Vs) of the AC system (PS) 103 is energized to output the phase displacement (dlt) 1115, and the quadrature axis current command (Iq_rf) 1122 is adjusted via the quadrature axis current command correction (Iq_ad) 1119, thereby simulating the operation of the synchronous machine (SG) 101 directly connected to the AC system (PS) 103 shown in FIG. 6 when the voltage phase of the AC system (PS) 103 fluctuates, thereby making the most of the synchronizing power. In addition, by intentionally setting the coefficient (Cv) large or small, the inertia effect of the synchronous machine (SG) 101 as viewed from the AC system (PS) 103 can be adjusted.

[0240] FIG. 19 shows operational waveforms of the fourth embodiment of the present invention. The same numbers as in the previous Figures 10, 11, and 12 denote the same contents, and the explanation will be omitted to avoid duplication.

[0241] FIG. 19 shows a transient response when the voltage phase (th_p) of the AC system advances stepwise (2.5 degrees) at time 0. The state before the step change is the same as in FIG. 12 above, and the description will be omitted to avoid duplication.

[0242] FIG. 19 shows a case where moving average calculators are used as the first low-pass filter (LPF_H) 1803 and the second low-pass filter (LPF_L) 1804. The moving average period of the first low pass filter (LPF_H) 1803 is set to one cycle of the AC system reference frequency, and the moving average period of the first low pass filter (LPF_H) 1803 is set to 0.5 [seconds].

[0243] FIG. 19 shows a case where the coefficient (Cv) of the formula (12) is set to −1.5 [pu].

[0244] When the voltage phase (th_p) of the AC system advances in steps of 2.5 degrees at time 0, the voltage phase fluctuation (dlt_Vs) rises and falls linearly in a triangular wave, returning to the original phase at time 0.5 seconds.

[0245] The phase displacement (dlt) 1115 biased by the voltage phase fluctuation (dlt_Vs) changes in the opposite direction because the sign of the coefficient (Cv) is negative, and both the quadrature axis current command correction (Iq_ad) 1119 and the quadrature axis current command (Iq_rf) 1122 change in the opposite direction to the voltage phase fluctuation (dlt_Vs).

[0246] As a result, a torque (T_g) response similar to that shown in FIG. 6 is achieved. The rotational speed (N) is damped by an effect similar to that of the damper bar current, and converges to the speed before the step change.

[0247] Since the characteristics of the synchronous machine (SG) 101 are the same as those in FIG. 6, the phase difference between the rotation phase (th_g) and the generator voltage phase (th_v) is the same as in FIG. 6 both before the step change (th_int) and after settling (th_ss).

[0248] On the other hand, the generator voltage phase (th_v) before and after the step response shifts together with the frequency converter voltage phase (th_c).

[0249] However, the phase differences between the rotation phase (th_g), the generator voltage phase (th_v), and the converter voltage phase (th_c) are maintained. The above phase fluctuation can be considered as the operation of a quasi-inertia frame rotating at the voltage target frequency (N_soln).

[0250] In the above embodiment, the examples are given in which claims 2, 3 and 4 are implemented separately. However, the above three claims can be arbitrarily combined.

[0251] FIG. 20 shows an example in which claims 2, 3 and 4 are implemented simultaneously. The numbers in the figure are the same as those in the previous Figures 11, 13, 15, 16, and 18, and the description thereof will be omitted to avoid duplication. [Explanation of symbols]

[0252] 101 Synchronous machine (SG) 102 Synchronous circuit breaker (CB) 103 AC system (PS) 104 Water Turbine (WT) 105 Governor (GOV) 106 Speed ​​regulator (ASR) 107 Rotational speed detector (SS) 108 Speed ​​signal (N_fB) 109 Speed ​​command (N_rf) 110 Guide vane opening command (GV_rf) 111 Guide vane opening signal (GV_fB) 112 Hydro Turbine Characteristic Function Generator (FN_GV) 113 Output command (P_rf) 114 Optimal guide vane opening (GV_opt) 115 Mediation rate (DR) 116 Optimal speed command (N_opt) 117 Generator voltage (Vg) 118, 128 Potential transformers 119 Voltage Sensor (V_sen) 120 Generator voltage signal (Vg_fB) 121 Automatic Voltage Regulator (AVR) 122 Generator voltage reference (Vg_rf) 123 Excitation voltage command (Vf_rf) 124 Excitation device (EXC) 125 Excitation winding current (If) 126 Synchronization input command (Syn_rf) 127 Synchronization detector (Syn) 129 System voltage (Vs) 130 Synchronization input command (CB_rf) 201 Frequency converter (FC) 202 Load switch (LS) 1001, 1002, 1003 measurement lines 1004, 1005 Command line 1006 Current transformers for instruments 1007 Generator current (Ig) 1008 Power sensor (P_sen) 1009 Active power (P_fb) 1010 Static head signal (H_st) 1011 Second Hydro Turbine Characteristic Function Generator (FN_WT) 1101 Rotational Phase Detector (RPD) 1102, 1802 coordinate converter (abc / dq) 1103, 1805, 1806 Phase calculator (NRM) 1104, 1808 Phase adder (PAD) 1105 Phase Lock Loop (PLL_th) 1106 Comparator (CMP) 1107 Phase Frequency Detector (PFD) 1108 Charge Pump (CHP) 1109 Low Pass Filter (LPF) 1110 Voltage detection frequency (N_sein) 1111 Voltage Controlled Oscillator (VCO) 1112 Voltage target frequency (N_soln) 1113, 1807 Phase subtractor (PDF) 1114, 1120, 1129, 1130, 1307 Switch 1115 Phase Displacement (dlt) 1116 Phase Lead Compensator 1117 Proportional Gain (Kp) 1118 Differential Gain (Kd) 1119 Quadrature axis current command correction (Iq_ad) 1121 Active Power Regulator 1122 Quadrature axis current command (Iq_rf) 1123 integral Gain (ΔT / Tp) 1124, 1131, 1132, 1306, 1504, 1505 Previous value holder 1125, 1305 Adder 1126, 1127, 1302 Limiter 1128 Proportional Gain (Cp) 1133 Voltage target phase signal (th_soln) 1134 Voltage phase signal (th_sein) 1301, 1503 One-shot input switch 1304 integral Gain (ΔT / Tn) 1303, 1506 Subtractor 1501 Operation mode selector 1507 Synchronous machine mode selection(s) 1508 Variable speed mode selection (a) 1509 Emergency stop command (e) 1502 Operation mode command (SW_rf) 1601, 1602 Comparator with hysteresis 1603 Truth Table 1604 Comparator output (SW_i) 1605 Comparator output (SW_n) 1801 Oscillator (OSC) 1803 First low-pass filter (LPF_H) 1804 Second low-pass filter (LPF_L)

Claims

1. A variable speed synchronous generator / motor system comprising a synchronous machine, a frequency converter consisting of a semiconductor power converter connected to an armature winding of the synchronous machine, a current controller which converts the armature current of the synchronous machine into a direct-axis current and a quadrature-axis current in coordinate conversion based on a rotation phase (N_sein system), compares the direct-axis current with a direct-axis current command, and compares the quadrature-axis current with a quadrature-axis current command to control a synchronous machine side voltage of the frequency converter, and a variable speed mode regulator which compares a command value and a measured value of an effective power or a rotation speed of the synchronous machine, and outputs the result as a first quadrature-axis current command value to the current controller, a first switch for switching between an updated output of the first quadrature axis current command value and holding a previous value, a phase detector for measuring a voltage phase (th_sein) of the synchronous machine, a phase calculator for calculating and outputting a target voltage phase (th_soln) of the synchronous machine based on a target frequency reference (N_soln system) of the synchronous machine, a phase lead compensator for inputting a result of matching the voltage phase (th_sein) with the target voltage phase (th_soln) as a phase displacement (dlt), a synchronous machine mode adjuster for outputting an output of the phase lead compensator as a second quadrature axis current command, and a second switch for switching between the second quadrature axis current command and a zero output to bias the first quadrature axis current command value, 13. A variable speed synchronous generator / motor system comprising: a first switch for switching from an update output to a previous value hold; and a second switch for switching from a zero output to the second quadrature axis current command at the same time.

2. 2. The variable speed synchronous generator-motor according to claim 1, further comprising a frequency change suppressor for suppressing a rate of change of said target frequency reference (N_soln system).

3. 2. In the variable speed synchronous generator-motor according to claim 1, when the quadrature axis current value to the current controller exceeds a set range, switching the first switch from holding the previous value to updating the output, and simultaneously switching the second switch from the second quadrature axis current command to zero output; When the rotation speed of the synchronous machine exceeds the set range, A variable speed synchronous generator / motor system, characterized in that the first switch is switched from an update output to a previous value hold, and at the same time, the second switch is switched from a zero output to the second quadrature axis current command.

4. 2. The variable speed synchronous generator-motor according to claim 1, further comprising a power supply voltage detector for detecting a voltage phase fluctuation at an AC power supply terminal of the frequency converter, and the power supply voltage phase fluctuation is applied to the phase displacement (dlt).

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