Development of Brushless Claw Pole Electrical Excitation and Combined Permanent Magnet Hybrid Excitation Generator for Vehicles

: Aiming at the problems of large excitation loss and low power generation e ﬃ ciency of silicon rectiﬁer generators and the unstable output voltage of permanent magnet (PM) generators, a hybrid excitation generator (HEG) with suspended brushless claw pole electrical excitation rotor (EER) and combined magnetic pole PM rotor is proposed in the present work. With only one fractional slot winding stator, the generator adopts PM ﬁeld as the main magnetic ﬁeld and electrical excitation ﬁeld as the auxiliary magnetic ﬁeld, which not only retains the advantages of high e ﬃ ciency of PM generators but also e ﬀ ectively reduces excitation consumption. The main structure parameters and the design method were analyzed, and a simulation analysis of no-load magnetic ﬁeld distribution and ﬂux regulation ability was carried out using ﬁnite element software to verify the rationality of the hybrid excitation parallel magnetic circuit design. Moreover, the no-load, load, regulation, and voltage regulation characteristics of the designed generator were tested, and the results show that the designed generator has a wide range of voltage regulation, which can ensure stable output voltage under variable speed and load conditions. On this basis, this paper proposes a HEG with suspended brushless claw pole EER and combined magnetic pole PM rotor coaxially connected in parallel and sharing the same armature winding. The generator uses the PM ﬁeld as the main magnetic ﬁeld to improve the power density and the electrical excitation ﬁeld as the auxiliary magnetic ﬁeld to reduce the excitation loss. Meanwhile, the brushless claw pole rotor eliminates the easily damaged carbon brush slip ring structure, which can e ﬀ ectively improve the reliability of the generator.


Introduction
At present, silicon rectifier generators are widely used in vehicle generators. However, their thermal effect of electric excitation winding consumes a lot of heat energy, so their power generation efficiency is low. In contrast, permanent magnet (PM) generators use PM steel to generate the main magnetic field, which has the advantages of high power density and high output efficiency. However, it is difficult for the output voltage to be stable due to the nonadjustable PM field [1][2][3][4]. Therefore, based on the power demand of modern vehicles, hybrid excitation generators (HEGs), which use the two excitation methods together to generate a magnetic field, not only combine the advantages of the two generators but can also overcome the defects to a certain extent. Therefore, they have gradually become the the output voltage of the generator is provided by two armature windings in series, and the electric excitation winding of the doubly salient EER is wound in the stator slot of the corresponding stator In [11], a brushless hybrid excitation direct current generator composed of a structure-parallel PM part and a flux modulation part was proposed, and the operation mode of the flux modulation par was fully analyzed under different conditions. This structure can reduce the short-circuit current by adjusting the electrical excitation current (EEC), but the double stator and double armature winding structure increases the length of the two ends of the middle part and the axial length of the generator In [12] and [13], the authors researched a HEG with a PM rotor and a magnetic shunt rotor. In this structure, a special magnetic bridge is used to transfer the magnetic field in the electric excitation part which increases the additional air gap as well as the axial length of the generator. The authors of [14 proposed a built-in PM and salient pole electrical excitation HEG with stator skew. Here, the electric excitation part of the structure is the salient pole type, and it needs to use the structure of a carbon brush slip ring, which will affect the service life of the generator. In terms of voltage control, on the basis of the traditional electronic control system, some improved voltage stabilizing control system with neural network control, robust control, and sliding mode control were proposed in [15][16][17] respectively, and achieved good voltage stabilizing performance.
To sum up, researchers have carried out in-depth research on parallel-structure HEGs and achieved certain research results that provide useful reference for the research and development o high-performance HEGs [18][19][20][21][22][23][24]. On this basis, this paper proposes a HEG with suspended brushless claw pole EER and combined magnetic pole PM rotor coaxially connected in parallel and sharing the same armature winding. The generator uses the PM field as the main magnetic field to improve the power density and the electrical excitation field as the auxiliary magnetic field to reduce the excitation loss. Meanwhile, the brushless claw pole rotor eliminates the easily damaged carbon brush slip ring structure, which can effectively improve the reliability of the generator.

Design and Calculation of HEG
In the design structure of HEG, the PM part is the main magnetic potential source and the electrical excitation part plays an auxiliary regulating role. Therefore, the design power of the PM part and the electrical excitation part are 700 and 300 W, respectively. The structure of the designed HEG is shown in Figure 1, and its main technical indexes are shown in Table 1.     In the EER, the electric excitation winding is fixed by a fixed iron ring, and the outer side of that ring is welded on the stator. The claw part is shortened on both sides so as to avoid sweeping the chamber when the rotor rotates. The installation diagram of EER and the corresponding stator is shown in Figure 2, and the dimensions of the designed claw pole structure are shown in Figure 3.

The EER Rotor of HEG
In the EER, the electric excitation winding is fixed by a fixed iron ring, and the outer side of that ring is welded on the stator. The claw part is shortened on both sides so as to avoid sweeping the chamber when the rotor rotates. The installation diagram of EER and the corresponding stator is shown in Figure 2, and the dimensions of the designed claw pole structure are shown in Figure 3.   (1) where i1 D is the inner diameter of stator; ef1 L is the axial length of EER; m B is the magnetic flux density of the claw pole body; δ B is the magnetic flux density of the main air gap; e σ is the magnetic flux leakage coefficient of EER; s τ is the pole distance of the generator; δ is the length of the main air gap; p is the pole pairs; K is the claw pole calculation coefficient, which is usually taken as 1 to 1.2; 0 a is the thickness of the tip of the claw; e L is the length of the claw, and 0 β is the inclination angle

The EER Rotor of HEG
In the EER, the electric excitation winding is fixed by a fixed iron ring, and the outer side of that ring is welded on the stator. The claw part is shortened on both sides so as to avoid sweeping the chamber when the rotor rotates. The installation diagram of EER and the corresponding stator is shown in Figure 2, and the dimensions of the designed claw pole structure are shown in Figure 3.   τ is the pole distance of the generator; δ is the length of the main air gap; p is the pole pairs; K is the claw pole calculation coefficient, which is usually taken as 1 to 1.2; 0 a is the thickness of the tip of the claw; e L is the length of the claw, and 0 β is the inclination angle of the claw, which is usually taken as 10 to 15°. The thickness of flange plate b m , the yoke diameter D c , and the thickness of claw root a c determine the magnetic flux of the claw pole and the material consumption, which are important parameters of the claw pole structure, and can be calculated as follows [25][26][27]: where D i1 is the inner diameter of stator; L ef1 is the axial length of EER; B m is the magnetic flux density of the claw pole body; B δ is the magnetic flux density of the main air gap; σ e is the magnetic flux leakage coefficient of EER; τ s is the pole distance of the generator; δ is the length of the main air gap; p is the pole pairs; K is the claw pole calculation coefficient, which is usually taken as 1 to 1.2; a 0 is the thickness of the tip of the claw; L e is the length of the claw, and β 0 is the inclination angle of the claw, which is usually taken as 10 to 15 • . By calculation, the parameter dimensions of EER are shown in Table 2. The diameter of the bare wire of electric excitation winding is determined by EEC and EEC density, and the diameter of the enameled wire is selected according to the winding standard of the generator based on the diameter of the bare wire. The diameter of the bare wire of winding can be calculated as follows: where I f is the EEC, J f is the EEC density, and we selected J f = 10 A/mm 2 . From this calculation, we can get d f = 0.637 mm, and referring to the enameled wire diameter standard, we selected d q = 0.67 mm.

The PM Rotor of HEG
The PM rotor adopts a combined magnetic pole with radial V-shaped PM steel and rectangular PM steel to provide the magnetic flux of each pole. It has a significant "magnetic gathering" effect and can effectively improve the main magnetic flux of each pole and avoid the sag of output voltage peak [28]. In order to prevent magnetic flux leakage, arc-shaped magnetic separation grooves are set on both ends of the PM steel. The structure of the combined PM rotor is shown in Figure 4.  The diameter of the bare wire of electric excitation winding is determined by EEC and EEC density, and the diameter of the enameled wire is selected according to the winding standard of the generator based on the diameter of the bare wire. The diameter of the bare wire of winding can be calculated as follows: (2) where f I is the EEC, f J is the EEC density, and we selected f J = 10

The PM Rotor of HEG
The PM rotor adopts a combined magnetic pole with radial V-shaped PM steel and rectangular PM steel to provide the magnetic flux of each pole. It has a significant "magnetic gathering" effect and can effectively improve the main magnetic flux of each pole and avoid the sag of output voltage peak [28]. In order to prevent magnetic flux leakage, arc-shaped magnetic separation grooves are set on both ends of the PM steel. The structure of the combined PM rotor is shown in Figure 4.  In order to improve the magnetic field strength, the Nd-Fe-B PM material NTB35 with high remanence induction strength, high coercivity, and high magnetic energy product is adopted. Its  In order to improve the magnetic field strength, the Nd-Fe-B PM material NTB35 with high remanence induction strength, high coercivity, and high magnetic energy product is adopted. Its remanence induction strength is 1.17 T, the maximum coercivity is 836 kA/m, and the maximum magnetic energy product is 263 kJ/m 3 . According to the dimensional constraint equation of PM steel, the main dimension of PM steel can be calculated as follows [29]: where h is the magnetizing direction length of PM steel; b is the width of PM steel; µ r is the relative recovery permeability; B r is the residual magnetic induction strength of PM steel at working temperature; L p is the axial length of PM steel; α p is the polar arc coefficient; and L ef2 is the axial length of the PM rotor. The parameter dimensions of PM steel were calculated according to the calculation and are shown in Table 3.

Stator of HEG
The stator core is made of a 0.5 mm silicon steel sheet, which can effectively reduce the stator eddy current loss and magnetic flux leakage [30]. In order to match the brushless design of EER, the stator is a combined stator with the same slot moment, tooth width, and yoke length, as shown in Figure 5. It can be seen that the stator of the EER part is welded by radial stator teeth and tangential stator yoke in order to cooperate with it. The PM rotor part adopts a semiclosed rectangular slot, and its structural parameters are shown in Figure 6. where h is the magnetizing direction length of PM steel; b is the width of PM steel; r μ is the relative recovery permeability; r B′ is the residual magnetic induction strength of PM steel at working temperature; p L is the axial length of PM steel; p α is the polar arc coefficient; and ef2 L is the axial length of the PM rotor. The parameter dimensions of PM steel were calculated according to the calculation and are shown in Table 3.

Stator of HEG
The stator core is made of a 0.5 mm silicon steel sheet, which can effectively reduce the stator eddy current loss and magnetic flux leakage [30]. In order to match the brushless design of EER, the stator is a combined stator with the same slot moment, tooth width, and yoke length, as shown in Figure 5. It can be seen that the stator of the EER part is welded by radial stator teeth and tangential stator yoke in order to cooperate with it. The PM rotor part adopts a semiclosed rectangular slot, and its structural parameters are shown in Figure 6.   where h is the magnetizing direction length of PM steel; b is the width of PM steel; r is the relative recovery permeability; r B′ is the residual magnetic induction strength of PM steel at working temperature; p L is the axial length of PM steel; p α is the polar arc coefficient; and ef2 L is the axial length of the PM rotor.
The parameter dimensions of PM steel were calculated according to the calculation and are shown in Table 3.

Stator of HEG
The stator core is made of a 0.5 mm silicon steel sheet, which can effectively reduce the stator eddy current loss and magnetic flux leakage [30]. In order to match the brushless design of EER, the stator is a combined stator with the same slot moment, tooth width, and yoke length, as shown in Figure 5. It can be seen that the stator of the EER part is welded by radial stator teeth and tangential stator yoke in order to cooperate with it. The PM rotor part adopts a semiclosed rectangular slot, and its structural parameters are shown in Figure 6.   The stator tooth width b t and the height of stator yoke h j1 determine the stator slot area and the flux density of stator teeth and stator yoke, which are important structural parameters of stator slot and can be calculated as follows: where h s0 is the height of the stator slot; h s1 is the height of the stator slot wedge; Z is the number of stator slots; B t1 is the flux density of the stator teeth and B t1 = 1~1.3B σ ; K c is the lamination coefficient of stator lamination, and in this paper, K c = 0.95; K 1 is the calculation coefficient of the stator slot and is usually taken as 0.358 to 0.37; and B j1 is the flux density of the stator yoke. The calculated stator tooth width b t is 3.9 mm and the height of the stator yoke h j1 is 7 mm. The armature winding is designed as three-phase, eight-pole, 36-slot fractional slot winding, which can effectively weaken the high-order harmonics and reduce the sinusoidal distortion rate of the output voltage waveform [31][32][33]. According to the 40 • slot angle and 60 • phase band, the vector Energies 2020, 13, 4723 6 of 13 coils of each phase winding are distributed as shown in Table 4. The winding schematic diagram of fractional slot winding can be seen in Figure 4. The number of conductors in series for each phase of the armature winding N is determined by the line load of generator A, and it can be calculated as follows: where m is the phase number of generator, and I N is the rated current of the generator. Moreover, the number of conductors per slot N S can be calculated as follows: where a is the number of parallel branches. The number of turns in each phase of the double-layer winding W c is half of the number of conductors in each slot, and we calculated W c as 8 turns.

The Finite Element Simulation Model
The normal operation of a vehicle generator meets the Maxwell's equation [34]: where → A is the vector magnetic potential and where v x , v y , and v z are the components of v on each coordinate axis.
By solving the formula, the partial differential equations can be obtained as follows: Therefore, the flux density of any point in the magnetic field B r and the magnetic flux of any surface Φ r can be obtained as follows: From the above calculation, under certain boundary conditions, the vector magnetic potential of any point in the generator magnetic field can be obtained by solving Maxwell's equations. The magnetic flux density of this point can be calculated using the vector magnetic potential, and the magnetic flux of a certain plane can be solved.

Simulation Analysis of Magnetic Field
The simulation analysis model of HEG was established using finite element software. After simulation, the magnetic density cloud diagram of HEG was obtained, as shown in Figure 7.
Therefore, the flux density of any point in the magnetic field r B and the magnetic flux of any surface r Φ can be obtained as follows: From the above calculation, under certain boundary conditions, the vector magnetic potential of any point in the generator magnetic field can be obtained by solving Maxwell's equations. The magnetic flux density of this point can be calculated using the vector magnetic potential, and the magnetic flux of a certain plane can be solved.

Simulation Analysis of Magnetic Field
The simulation analysis model of HEG was established using finite element software. After simulation, the magnetic density cloud diagram of HEG was obtained, as shown in Figure 7. It can be seen from Figure 7 that the synthetic magnetic field of the generator is evenly distributed. The maximum flux density of the main flux magnetic circuit is less than 2 T, so the magnetic field is not saturated. There are a lot of magnetic field saturation phenomena at the air gap between the two ends of the PM steel, which is the main leakage flux distribution area. Those It can be seen from Figure 7 that the synthetic magnetic field of the generator is evenly distributed. The maximum flux density of the main flux magnetic circuit is less than 2 T, so the magnetic field is not saturated. There are a lot of magnetic field saturation phenomena at the air gap between the two ends of the PM steel, which is the main leakage flux distribution area. Those saturations can effectively reduce the magnetic flux loss, guide the magnetic flux to converge into the main flux magnetic circuit, improve the magnetic field gathering effect, and enhance the magnetic field strength.
According to the model simulation analysis, when the EEC is 0, +3, and −3 A, the vector distribution of magnetic flux density of the generator and the radial magnetic density in the main air gap are shown in Figures 8-10.  In Figures 8-10, the Φsp is the PM flux and the Φse is the electrical excitation flux. Figure 8 shows that when the EEC is 0 A, the electrical excitation field is almost zero and the radial magnetic density of the main air gap corresponding to the EER is almost zero too. At this time, the main magnetic field  In Figures 8-10, the Φsp is the PM flux and the Φse is the electrical excitation flux. Figure 8 shows that when the EEC is 0 A, the electrical excitation field is almost zero and the radial magnetic density of the main air gap corresponding to the EER is almost zero too. At this time, the main magnetic field In Figures 8-10, the Φsp is the PM flux and the Φse is the electrical excitation flux. Figure 8 shows that when the EEC is 0 A, the electrical excitation field is almost zero and the radial magnetic density of the main air gap corresponding to the EER is almost zero too. At this time, the main magnetic field of the generator is only provided by the PM field, and it is weak. As shown in Figure 9, when the EEC is 3 A in the forward direction, the generated electrical excitation field is not zero. It is in parallel with the PM field in the rotor part and synthesized in the main air gap, and the direction is the same as that of the PM field. The radial magnetic density distribution shows that the electrical excitation part and the PM part have the same direction under the same polarity. The peak magnetic flux density of the PM part is about 1.2 T, and the electrical excitation part is about 0.9 T. Meanwhile, the magnetic flux of the main air gap is mainly provided by the PM field, and the electrical excitation field plays the role of "enhancing magnetic field". As shown in Figure 10, when the EEC is 3 A in negative direction, the direction of the electrical excitation field is opposite to that of the PM field, and the radial flux density of the main air gap of the electrical excitation field is opposite to that of the PM field part under the same polarity. At this time, the magnetic density of the main air gap is the difference between the two parts. The electrical excitation field plays a role of "weakening magnetic field", which can effectively weaken the synthetic magnetic field and reduce the output voltage.
From the above analysis, it can be concluded that changing the direction of the EEC can change the direction of the electrical excitation field so as to achieve the purpose of adjusting the size of the main magnetic field and make the output voltage of the HEG stable in a certain range.

The Output Characteristic Analysis
The output characteristics of the newly developed HEG were tested and analyzed, and the no-load characteristics of the HEG under rated speed of 4000 r/min is shown in Figure 11.
Energies 2020, 13, 4723 9 of 13 main magnetic field and make the output voltage of the HEG stable in a certain range.

The Output Characteristic Analysis
The output characteristics of the newly developed HEG were tested and analyzed, and the noload characteristics of the HEG under rated speed of 4000 r/min is shown in Figure 11.  Figure 11 shows that when the EEC increases from 0 to 5 A, the generator output voltage increases from 39.32 to 68.25 V, an increase of 73.5%. When the EEC is between −2 and 2 A, the output voltage increases linearly with increasing EEC. However, when the EEC is greater than 2 A or less than −2 A, the electrical excitation field gradually tends to be saturated, and the regulation ability to the main air gap magnetic field is weakened. Thus, the growth trend of the output voltage is obviously weakened. Moreover, it can be seen that the output voltage can be changed within 12-68 V by changing the magnitude and direction of EEC, so the generator has a wide range of voltage regulation. Figure 12 shows the changes in output voltage when the EEC changes from 0 to 3.5 A and the generator speed changes from 500 to 4500 r/min.   Figure 11 shows that when the EEC increases from 0 to 5 A, the generator output voltage increases from 39.32 to 68.25 V, an increase of 73.5%. When the EEC is between −2 and 2 A, the output voltage increases linearly with increasing EEC. However, when the EEC is greater than 2 A or less than −2 A, the electrical excitation field gradually tends to be saturated, and the regulation ability to the main air gap magnetic field is weakened. Thus, the growth trend of the output voltage is obviously weakened. Moreover, it can be seen that the output voltage can be changed within 12-68 V by changing the magnitude and direction of EEC, so the generator has a wide range of voltage regulation. Figure 12 shows the changes in output voltage when the EEC changes from 0 to 3.5 A and the generator speed changes from 500 to 4500 r/min.

The Output Characteristic Analysis
The output characteristics of the newly developed HEG were tested and analyzed, and the noload characteristics of the HEG under rated speed of 4000 r/min is shown in Figure 11.  Figure 11 shows that when the EEC increases from 0 to 5 A, the generator output voltage increases from 39.32 to 68.25 V, an increase of 73.5%. When the EEC is between −2 and 2 A, the output voltage increases linearly with increasing EEC. However, when the EEC is greater than 2 A or less than −2 A, the electrical excitation field gradually tends to be saturated, and the regulation ability to the main air gap magnetic field is weakened. Thus, the growth trend of the output voltage is obviously weakened. Moreover, it can be seen that the output voltage can be changed within 12-68 V by changing the magnitude and direction of EEC, so the generator has a wide range of voltage regulation. Figure 12 shows the changes in output voltage when the EEC changes from 0 to 3.5 A and the generator speed changes from 500 to 4500 r/min.  It can be seen from Figure 12 that the output voltage increases almost linearly with the increase in speed, no matter how large the EEC is. When the EEC is 2 A and the speed changes from 500 to 4500 r/min, the output voltage increases from 7 to 72 V. When the speed is 4500 r/min and the EEC is 0 A, the output voltage is 44 V, which is reduced by 39%. Therefore, changing the size of the EEC can effectively change the output voltage. Figure 13 shows the external characteristics of the generator when it is connected with pure resistive load and operates at rated speed of 4000 r/min. It can be seen from Figure 12 that the output voltage increases almost linearly with the increase in speed, no matter how large the EEC is. When the EEC is 2 A and the speed changes from 500 to 4500 r/min, the output voltage increases from 7 to 72 V. When the speed is 4500 r/min and the EEC is 0 A, the output voltage is 44 V, which is reduced by 39%. Therefore, changing the size of the EEC can effectively change the output voltage. Figure 13 shows the external characteristics of the generator when it is connected with pure resistive load and operates at rated speed of 4000 r/min.  Figure 13 shows that the output voltage decreases with the increase in load current when the generator operates with load and the speed remains unchanged. When the load current is the rated load current of 71.4 A, the EEC needs to be greater than 3 A. The power characteristics of the generator were calculated and are shown in Figure 14.  Figure 13 shows that the output voltage decreases with the increase in load current when the generator operates with load and the speed remains unchanged. When the load current is the rated Energies 2020, 13, 4723 10 of 13 load current of 71.4 A, the EEC needs to be greater than 3 A. The power characteristics of the generator were calculated and are shown in Figure 14.  Figure 13 shows that the output voltage decreases with the increase in load current when the generator operates with load and the speed remains unchanged. When the load current is the rated load current of 71.4 A, the EEC needs to be greater than 3 A. The power characteristics of the generator were calculated and are shown in Figure 14. From the Figure 14, it can be seen that when the speed is 4000 r/min, the peak load power is 1521 W. Under the rated load current condition, when the EEC is 3 A, the output power is 980 W, so the rated output power can be reached by adding a little EEC.
When the generator runs at rated speed, the regulation characteristics of the generator can be obtained by changing the load and adjusting the EEC to stabilize the output voltage at 14 V. In order to study the output characteristics of the designed HEG, the regulation characteristics of the designed HEG and the traditional silicon rectifier generator were compared and studied, and the results are shown in Figure 15.  From the Figure 14, it can be seen that when the speed is 4000 r/min, the peak load power is 1521 W. Under the rated load current condition, when the EEC is 3 A, the output power is 980 W, so the rated output power can be reached by adding a little EEC.
When the generator runs at rated speed, the regulation characteristics of the generator can be obtained by changing the load and adjusting the EEC to stabilize the output voltage at 14 V. In order to study the output characteristics of the designed HEG, the regulation characteristics of the designed HEG and the traditional silicon rectifier generator were compared and studied, and the results are shown in Figure 15.  Figure 13 shows that the output voltage decreases with the increase in load current when the generator operates with load and the speed remains unchanged. When the load current is the rated load current of 71.4 A, the EEC needs to be greater than 3 A. The power characteristics of the generator were calculated and are shown in Figure 14. From the Figure 14, it can be seen that when the speed is 4000 r/min, the peak load power is 1521 W. Under the rated load current condition, when the EEC is 3 A, the output power is 980 W, so the rated output power can be reached by adding a little EEC.
When the generator runs at rated speed, the regulation characteristics of the generator can be obtained by changing the load and adjusting the EEC to stabilize the output voltage at 14 V. In order to study the output characteristics of the designed HEG, the regulation characteristics of the designed HEG and the traditional silicon rectifier generator were compared and studied, and the results are shown in Figure 15.   Figure 15 shows that with the increase in load current, the greater the power required by the generator, the greater is the EEC. When the load current is in the range of 7 to 71.4 A, the EEC increases almost linearly, which indicates that the generator has good regulation characteristics. When the load current is 21.7 A, the load power of the generator is 304 W and the EEC is −0.3 A. At this time, the electrical excitation field and the PM field are reversed, and the composite magnetic field is weakened. Moreover, with the decrease in load current, the EEC will always decrease to ensure the output voltage. And with the increase in load current, in order to maintain the stability of the generator output voltage, both the HEG and the silicon rectifier generator need to increase EEC. However, the EEC required by the HEG is far less than that by the silicon rectifier generator, so it can avoid large excitation heating and loss and has higher output efficiency and wider voltage adjustment range. It can also be seen from the figure that under the condition of rated load current, the EEC of the silicon rectifier generator needs to be connected with 10 A, but the HEG only needs 3.2 A to ensure stable voltage output.
After installing voltage regulator controller for the generator, the voltage stabilizing performance test was carried out under the load power of 980, 1000, and 1020 W. The results are shown in Table 5. Table 5. Test results of voltage stabilizing performance of the HEG.