CN110703028B - Equivalent circuit analysis model for influence of magnetic field coil on bounded wave simulator space field - Google Patents
Equivalent circuit analysis model for influence of magnetic field coil on bounded wave simulator space field Download PDFInfo
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Abstract
The invention discloses an equivalent circuit analysis model of influence of a magnetic field coil on a space field of a bounded wave simulator, which mainly comprises a current source I, an equivalent capacitor C1 formed between an upper polar plate and a lower polar plate of the bounded wave simulator, an equivalent capacitor C2 formed by the upper polar plate of the bounded wave simulator and a part corresponding to the magnetic field coil, an equivalent capacitor C3 formed by the lower polar plate of the bounded wave simulator and a part corresponding to the magnetic field coil, a coil inductor L and a terminal matching load R of a bounded wave simulator loop. The equivalent circuit analysis model provided by the invention is simple and intuitive, can effectively reflect the waveform characteristics of a space electric field, provides a physical explanation of the electric field waveform distortion, and can conveniently analyze the electric field waveform change rule after the coil type pulse magnetic field simulator and the bounded wave simulator are compounded, thereby determining the application range of an effect test.
Description
Technical Field
The invention relates to the field of electromagnetic field environment simulation and test, in particular to an equivalent circuit analysis model for the influence of a magnetic field coil on a bounded wave simulator space field.
Background
The bounded wave simulator is also called a guided wave simulator, and is a typical device widely used for high-power electromagnetic environment effect tests such as nuclear explosion electromagnetic pulses, thunder electromagnetic pulses and the like. The interior of the parallel section of the simulator can be similar to a vertical polarization plane wave, the field intensity distribution is uniform, and the simulator is an ideal pulse electric field test area. The most common pulse magnetic field generator is to discharge electricity to a single-turn or multi-turn coil by using a high-voltage high-energy pulse source. The device is simple to construct, the size of the magnetic field can be flexibly adjusted, a horizontal polarized magnetic field is arranged in the coil, and the magnetic field distribution in the area near the central axis is uniform, so that the device is an ideal pulsed magnetic field test area.
The two simulators are combined in space, so that the problem of time synchronization of the two sets of excitation sources is solved, namely the electromagnetic pulse effect test device capable of simultaneously generating the strong electric field and the strong magnetic field is provided, and the device can simulate the environments such as a similar ground nuclear explosion source area field. Based on the above, in a laboratory environment, the magnetic field coil and the wire grid type bounded wave simulator are spatially combined to construct a test device capable of simultaneously forming a pulse electric field and a magnetic field. From simulation and test results, the wire grid type bounded wave simulator structure has little influence on the magnetic field generated by the multi-turn coil, but the magnetic field coil structure can cause the distortion of the electric field waveform of the bounded wave simulator. At present, the mechanism and rule of electric field waveform distortion are not clear, so that the application range of the effect test after the two simulators are compounded cannot be determined.
At present, part of published documents (such as section Zernia, Haofeng column, Zhang Song, bounded wave simulator waveform simulation and experimental research [ J ], sensors and microsystems, 2018,37(2): 76-80.) research on the phenomenon of pulse waveform distortion of transmission line type bounded wave simulator, analyze influence mechanism and law, establish an equivalent circuit simulation model and provide guidance for the development and use of the bounded wave simulator. However, the existing literature does not relate to the influence of composite field generating devices (magnetic field coils and bounded wave simulators) on radiation field distortion, and the existing conclusion and analysis models are not suitable for the application background of the patent.
Disclosure of Invention
The invention aims to solve the technical problem of providing an equivalent circuit analysis model of the influence of a magnetic field coil on a bounded wave simulator space field, wherein the circuit model is simple and visual, can effectively reflect the waveform characteristics of the space electric field, provides a physical explanation of the waveform distortion of the electric field, and lays a foundation for the analysis and determination of the application range of an effect test after the magnetic field coil and the bounded wave simulator are compounded.
In order to solve the technical problems, the technical scheme adopted by the invention is as follows: an equivalent circuit analysis model of the influence of a magnetic field coil on a space field of a bounded wave simulator is characterized by comprising a current source I, an equivalent capacitor C1 formed between an upper polar plate and a lower polar plate of the bounded wave simulator, an equivalent capacitor C2 formed by the upper polar plate of the bounded wave simulator and a part corresponding to the magnetic field coil, an equivalent capacitor C3 formed by the lower polar plate of the bounded wave simulator and a part corresponding to the magnetic field coil, a coil inductor L and a terminal matching load R of a bounded wave simulator loop; the equivalent capacitor C2, the coil inductor L and the equivalent capacitor C3 are sequentially connected in series and then connected in parallel with the equivalent capacitor C1 and the terminal matching load R, the equivalent capacitor C1 is connected in parallel with the terminal matching load R, and the current source I is connected in parallel with the equivalent capacitor C1 and then supplies power to the circuit;
the equivalent capacitors C2 and C3, the RLC series circuit formed by the inductor L and the resistor R, and the LC circuit formed by the equivalent capacitors C1, C2, C3 and the inductor L, all the capacitors and inductors in the circuit are laplace transformed, so that the total impedance of the circuit can be expressed as:
wherein the symbol "P" represents parallel;
the total capacitance of the equivalent capacitance C2 and the equivalent capacitance C3 after being connected in series, namely
(ii) a Laplace factor
。
Further, for a simulator structure with symmetrical structure, the equivalent capacitance C2 is equal to the equivalent capacitance C3.
Further, the current source I is a standard current source provided by circuit simulation software, and the amplitude and waveform parameters of the current source can be set according to requirements.
The bounded wave simulator comprises a rectangular shielding body, a circular magnetic field coil is arranged in the shielding body, an opening is formed in one end face of the shielding body, an excitation source is arranged at the opening, a terminal load is arranged on the other end face opposite to the opening, the excitation source and the terminal load are connected through a radiation antenna, the radiation antenna penetrates through the circular magnetic field coil, and the central axis of the radiation antenna is coincided with the center of the circular magnetic field coil.
Further, the radiation antenna is composed of an antenna upper polar plate and an antenna lower polar plate, the front ends of a plurality of metal wires of the antenna upper polar plate are connected with the zero potential end of the excitation source, the rear ends of the plurality of metal wires of the antenna upper polar plate are connected with one end of the excitation source, the front ends of the plurality of metal wires of the antenna lower polar plate are connected with the high-voltage output end of the excitation source, and the rear ends of the plurality of metal wires of the antenna lower polar plate are connected with the other end of the excitation source.
Further, the antenna upper polar plate is divided into a front conical section, a parallel section and a rear conical section, wherein the central point of the area between the lower part of the parallel section and the antenna lower polar plate is an electric field observation point P1, the central point of the area enclosed by the antenna upper polar plate parallel section and the circular magnetic field coil is an electric field observation point P2, and the P2 point is located right above the P1 point.
Further, the voltage waveform across the equivalent capacitor C1 represents the electric field waveform at the electric field observation point P1 in the vertical direction, and the voltage waveform across the equivalent capacitor C2 represents the electric field waveform at the electric field observation point P2 in the vertical direction.
Furthermore, the radiation antenna is made of a stainless steel wire rope.
Furthermore, the excitation source adopts voltage excitation, the waveform is Gaussian pulse, and the peak value of the excitation voltage is 300 kV.
Adopt the produced beneficial effect of above-mentioned technical scheme to lie in: the equivalent circuit analysis model is simple and intuitive, can effectively reflect the waveform characteristics of a space electric field, provides a physical explanation of the electric field waveform distortion, and can conveniently analyze the electric field waveform change rule after the coil type pulse magnetic field simulator and the bounded wave simulator are compounded, thereby determining the application range of an effect test.
Drawings
FIG. 1 is a front view of the simulator structure of the present invention;
FIG. 2 is a top view of the simulator structure of the present invention;
FIG. 3 is a CST simulation calculation model of the present invention;
fig. 4 is an Ez waveform at point P1 under excitation of fmax =10MHz gaussian pulse in the present invention;
fig. 5 is an Ez waveform at point P1 under fmax =50MHz gaussian pulse excitation in the present invention;
FIG. 6 is the Ez amplitude of a single turn coil section at 67ns, 86ns, 100ns times in the present invention;
FIG. 7 is an equivalent circuit analysis model in the present invention;
fig. 8 is a comparison of the voltage of the capacitor C1 under fmax =10MHz gaussian pulse excitation with the P1 point Ez in the present invention;
fig. 9 is a comparison of the voltage of the capacitor C2 under fmax =10MHz gaussian pulse excitation with the P2 point Ez in the present invention;
fig. 10 is a comparison of the voltage of capacitor C1 under fmax =50MHz gaussian pulse excitation with the P1 point Ez in the present invention;
fig. 11 is a comparison of the voltage of capacitor C2 under fmax =50MHz gaussian pulse excitation with the P2 point Ez in the present invention;
FIG. 12 is a graph showing the spectral characteristics of the real part of the total impedance of the equivalent analysis circuit according to the present invention;
FIG. 13 is a diagram showing the imaginary part spectrum characteristic of the total impedance of the equivalent analysis circuit according to the present invention;
in the figure: 1. the antenna comprises a shielding body, 2, a circular magnetic field coil, 3, an excitation source, 4, a radiation antenna, 5, a terminal load, 6, an antenna upper polar plate, 7, an antenna lower polar plate, 8, a front cone section, 9, a parallel section, 10 and a rear cone section.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings and examples. The present invention will be explained in more detail by the following examples, which are not intended to limit the invention;
as shown in fig. 1 and 2, the wire grid type bounded wave simulator is placed inside a circular magnetic field simulator coil. The wire grid type bounded wave simulator comprises a rectangular shielding body 1, a circular magnetic field coil 2 is arranged inside the shielding body 1, an opening is formed in one end face of the shielding body 1, the width of a shielding door is 3.5m and the height of the shielding door is 4m, the height of the shielding door is 0.2m, an excitation source 3 is arranged on the inner side of the opening, a terminal load 5 is arranged on the other end face opposite to the opening, the excitation source 3 is connected with the terminal load 5 through a radiation antenna 4, the radiation antenna 4 penetrates through the circular magnetic field coil 2, and the central axis of the radiation antenna 4 is coincided with the center of the circular magnetic field coil 2. The radiation antenna 4 is composed of an antenna upper polar plate 6 and an antenna lower polar plate 7, the front ends of a plurality of metal wires of the antenna upper polar plate 6 are connected with a zero potential end of the excitation source 3, the rear ends of the plurality of metal wires of the antenna upper polar plate 6 are connected with one end of the excitation source 3, the front ends of a plurality of metal wires of the antenna lower polar plate 7 are connected with a high voltage output end of the excitation source 3, and the rear ends of the plurality of metal wires of the antenna lower polar plate 7 are connected with the other end of the excitation source 3.
As shown in fig. 1 and fig. 2, the total length of the radiation line of the wire-grid type bounded wave simulator is 15.5m, the length of the transition section is 7m, the height of the radiation line of the parallel section is 3m, the width of the radiation line of the parallel section is 3.6m, the length of the radiation line of the parallel section is 3.6m, the aspect ratio of the radiation line to the height of the transition section is 1.2, the height of the excitation source end is 0.5m, the width of the excitation source end is 0.6, and the height of the terminal load end is 0.4m and the width of the terminal load end is 0.48 m. A stainless steel wire rope with the diameter of 3mm is used as a radiation antenna, and the load impedance matched by the simulator is as follows. The circular magnetic field coil is formed by bending a red copper tube with the diameter of 10mm and the wall thickness of 1mm, the diameter of the coil is 6m, the turn pitch is 0.25 m, and the circle centers of the coils are all located on the central axis of a parallel section area of the bounded wave simulator.
Fig. 3 is a simulation calculation model of the above simulator built using the CST software, in which a wire grid type bounded wave model is set up in the dimensions of fig. 1 and 2. The material of the metal wire grid and the magnetic field coil of the boundary wave simulator are both set as PEC, the material of the model background is set as air, and the calculation area is cut by open (add space). The excitation source of the bounded wave simulator adopts voltage excitation, the waveform is Gaussian pulse, and the peak value of the excitation voltage is 300 kV. Further, since the pulse frequency range of interest is within 50MHz, two gaussian pulses are set at maximum frequencies fmax =10MHz and 50 MHz. The observation points P1 and P2 of two electric field waveforms are set, P1 is the central point of a bounded wave simulator parallel section area, P2 is the central point of a bounded wave simulator upper polar plate and an external magnetic field coil enclosed area, and the P2 point is located right above the P1 point.
Fig. 4 shows the Ez time domain waveform at the point P1 when the wire-grid type bounded wave simulator is excited by a 10MHz gaussian pulse with fmax = and three models of a wireless coil, a single-turn coil (the center of the coil is coincident with the point P1) and a 14-turn coil. It can be seen that under the excitation of fmax =10MHz gaussian pulse, the electric field waveform at point P1 is more ideal gaussian pulse, when the coil appears and the number of turns thereof increases, the positive peak value changes little, only the 14-turn coil model appears with a negative polarization peak value after the end of the gaussian pulse, the negative peak has an amplitude of 10% of the positive peak, and the waveform has less overall distortion. This shows that the coil structure has less influence on the electric field waveform of the bounded wave simulator, and the two can be superposed on the space to be used as the composite field simulator.
Fig. 5 shows the Ez time domain waveform at the point P1 when the wire-grid type bounded wave simulator is excited by fmax =50MHz gaussian pulse, and three models of a wireless coil, a single-turn coil (the center of the coil is coincident with the point P1) and a 14-turn coil are adopted. It can be found that the time domain waveform distortion is significant under fmax =50MHz gaussian pulse excitation. The time domain waveform has two positive peaks with larger amplitude when a coil is arranged, and the amplitude of the first positive peak is obviously reduced and the amplitude of the second positive peak is obviously raised along with the increase of the number of turns of the coil. Further simulation shows that for the Gaussian pulse with the maximum frequency fmax of 35MHz, the time domain electric field waveform has a second obvious positive peak. This indicates that the presence of the coil structure may cause a large distortion of the pulse electric field waveform in the composite simulator effect test area, which may possibly affect the damage effect test result performed in the area. By comparing the time domain waveforms with no coil, single and multiple turn coils, and the time difference of two positive peaks, the reflection of the second positive peak from the end load or coil structure can be excluded.
Fig. 6 shows the Ez amplitudes in the cross-section of the single-turn coil model at fmax =50MHz gaussian pulse wave excitation at the first peak instant 67ns, zero-crossing instant 86ns and second peak instant 100ns in fig. 5. The figure shows two significant features, one is the reflected "barrel" limiting effect of the coil on the radiation field of the bounded wave simulator. On the cross section of the position where the coil is located, the external leakage field of the bounded wave simulator is mostly limited to the inside of the coil. For multi-turn coils, the "barrel" limitation is more pronounced. And secondly, the phenomenon that the electric field changes of the upper region, the lower region and the middle region in the coil are not synchronous is reflected. This lack of synchronization can be understood by a capacitive model. Namely, the upper and lower polar plates of the bounded wave simulator and the corresponding part of the magnetic field coil form an upper capacitor and a lower capacitor, a capacitor is also arranged between the upper and lower polar plates of the middle bounded wave simulator, and the time of the change of the electric field is not synchronous and is just caused by the charge-discharge effect of the upper and lower capacitors on the middle capacitor.
Specifically, at 67ns, the gaussian pulse of the excitation source reaches the peak value on the cross section, and the upper and lower capacitors can be regarded as being in a charging state under the action of the radiation field of the wire grid. At the moment of 86ns when the Gaussian pulse amplitude of the excitation source is attenuated to zero, the voltage and the electric field between the upper and lower electrode plates of the bounded wave simulator are close to zero, but a certain electric field and voltage are still maintained between the charged upper and lower capacitors, and the upper and lower capacitors discharge to the middle capacitor from the moment. At the time of 100ns, the upper and lower capacitors are basically discharged, the field value and voltage attenuation are close to zero, and the electric field and voltage of the charged middle capacitor reach the peak value again, and the peak value corresponds to the second positive peak of the time domain electric field waveform shown in the figure 5. Under the influence of the factors that the upper and lower capacitance values are not large, the second positive peak of the electric field waveform is not too high and the like, the obvious charging effect of the upper and lower capacitors cannot be caused in the re-discharging process of the middle capacitor, so that the obvious positive peak does not appear in the follow-up process. However, as can be seen from fig. 5, for the 14-turn coil model, the upper and lower capacitance values are larger, and the second positive peak is also higher, so that an obvious charge-discharge process occurs subsequently, and thus the third positive peak of the electric field waveform is corresponded. And when fmax =10MHz Gaussian pulse wave excitation, the charging and discharging effects of the upper and lower capacitors on the middle capacitor are not obvious, so that the electric fields in the inner area of the coil are changed synchronously.
Fig. 7 establishes an equivalent circuit analysis model. C1 represents the equivalent capacitance formed between the upper and lower plates of the bounded wave simulator, C2 represents the equivalent capacitance formed by the upper plate of the bounded wave simulator and the part corresponding to the magnetic field coil, C3 represents the equivalent capacitance formed by the lower plate of the bounded wave simulator and the part corresponding to the magnetic field coil, L represents the inductance of the coil, and R represents the terminal matching load of the bounded wave simulator loop.
According to the circuit model of fig. 7, the voltage waveform across the equivalent capacitor C1 should be consistent with the electric field waveform inside the parallel section of the bounded wave simulator, and the voltage waveform across the equivalent capacitor C2 should be consistent with the electric field waveform in the region between the upper plate and the field coil of the bounded wave simulator. To verify the correctness of the equivalent circuit analysis model, the capacitances C1 and C2 and the inductance L of the coil need to be calculated first (the symmetry of the structure is C2= C3).
Because the concerned pulse frequency range is within 50MHz, and the corresponding minimum wavelength 6m is 20 times of the wire grid spacing 0.3m, when calculating the equivalent capacitance formed by the upper wire grid plate and the lower wire grid plate of the boundary wave simulator, the wire grid plates can be regarded as metal plates, and the plate capacitance calculation formula can be used for obtaining the equivalent capacitance
. The capacitor C2 is an equivalent capacitor formed by a metal flat plate and a partial arc section of an external magnetic field coil, has no applicable theoretical formula, and needs to simplify an arc metal line section into a straight line section parallel to the metal flat plate, and then modeling calculation is carried out by using ANSYS Maxwell software to obtain the capacitor C
. Magnetic field energy is utilized in calculation of circular magnetic field coil inductance with diameter of 6m
And I is coil current and is calculated by combining a self-programmed ANSYS program, and the result is
. The resistor R is a bounded wave simulator terminal matched load,R = 160 Ω。
the circuit shown in fig. 7 is built in a circuit simulation software LTspice, corresponding inductance, capacitance and resistance values are set according to the simulation result, the excitation source is set as a current source, and the waveform is a Gaussian pulse with fmax =10MHz and 50MHz consistent with that in the CST simulation. The voltage waveforms across the capacitors C1 and C2 were obtained by simulation and compared with the electric field component Ez waveforms at points P1 and P2, respectively. For ease of comparison, the amplitude of the contrast waveform is normalized and appropriately time shifted.
Fig. 8 and 9 show the comparison result of the voltage of the capacitor C1 with the point Ez P1 and the comparison result of the voltage of the capacitor C2 with the point Ez P2 under fmax =10MHz gaussian pulse excitation, respectively. It can be seen that the voltage across the equivalent capacitors C1 and C2 and the Ez components of the two observation points P1 and P2 are gaussian pulses, and the waveforms are relatively consistent. This shows that the circuit model can describe the waveform characteristics of the composite structure space field without obvious charge and discharge phenomena.
Fig. 10 shows the comparison of the voltage of the capacitor C1 with the P1 point Ez under fmax =50MHz gaussian pulse excitation. It can be seen that the voltage waveform at the two ends of the equivalent capacitor C1 has better consistency with the electric field Ez waveform at the point P1. The difference is mainly that the voltage waveform of the C1 simulated by the LTspice is a relatively ideal oscillation attenuation sine wave, and the tail oscillation characteristic of the electric field waveform simulated by the CST is not obvious. However, both results show that at this frequency, the electric field waveform in the effect test space has an undesirable second positive peak and the waveform is distorted.
Fig. 11 shows the comparison of the voltage of the capacitor C2 with the P2 point Ez under fmax =50MHz gaussian pulse excitation. It can be seen that both are oscillation-damped sine waves, but the oscillation frequencies are slightly different, the electric field oscillation frequency simulated by CST is about 15.5MHz, and the C1 voltage oscillation frequency simulated by LTspice is about 13.2 MHz. In addition, there is a difference in peak amplitude between the two. Further calculations show that the oscillation frequency difference is due to the fact that the equivalent capacitance C2 and the coil inductance L are both steady-state simulation calculated values, and have a certain deviation from the true values at low frequency (if C2 and L are slightly adjusted, for example, 25pF and 9uH are respectively taken, the oscillation frequencies of the two waveforms can be approximately consistent). In addition, the CST simulates a composite structure of an actual magnetic field coil and a bounded wave simulator, and the result of the CST is different from that of a simplified circuit model due to the influence of non-ideal structures such as a wire grid and the like.
The comparison results of fig. 8 to fig. 11 show that the simulation result of the circuit model better reflects the waveform characteristics of the space electric field, the correctness of the circuit model can be verified, and the circuit model established by using the equivalent capacitance and the inductance can be used when analyzing the influence of the magnetic field coil on the space field of the bounded wave simulator.
The voltage waveform characteristic of the equivalent capacitor C1 is related to the total impedance characteristic of the circuit. By performing laplace transform on both the capacitance and the inductance in the circuit, the total impedance of the circuit can be expressed as:
wherein the symbol "P" represents parallel;
total capacitance after series connection of C2 and C3, i.e.
(ii) a Laplace factor
. By substituting the circuit parameters, the spectral characteristics of the total impedance in the range of 1 kHz to 100MHz can be calculated.
Fig. 12 is a plot of the real spectral characteristic of total impedance, which generally decreases in magnitude with increasing frequency and eventually approaches zero, but shows troughs and peaks at 12.9MHz and 14.7 MHz. Fig. 13 is a plot of the imaginary spectral characteristics of the total impedance, generally increasing in magnitude and decreasing in magnitude as the frequency increases, but peaking at 13.6 MHz. In general, the total impedance is represented as a resistance characteristic within 1MHz, the real part is 167 omega, and the imaginary part is close to zero; at a characteristic frequency point of 12.9MHz, the real part and the imaginary part are both close to zero, and the total impedance has a minimum value (abs (z) =0.15 Ω); at the characteristic frequency point of 13.6MHz, the ratio of the real part amplitude to the imaginary part amplitude is close to 1, the imaginary part has a peak value at the moment, and the total impedance has the maximum inductance characteristic; at the characteristic frequency point of 14.7MHz, the real part is 167 omega, the imaginary part is close to zero, and the total impedance is represented by resistance characteristics. In addition, near the valley frequency points (11.2 MHz and 24.8 MHz) of the imaginary part of the total impedance, the ratio of the magnitude of the real part and the magnitude of the imaginary part are both close to-1.
Further analysis shows that the resonance frequency of the RLC series loop formed by the capacitors C2 and C3, the inductor L and the resistor R is calculated
For the LC loop formed by the capacitors C1, C2, C3 and the inductor L, the resonant frequency
Wherein C5 is the total capacitance of C1, C2 and C3 connected in series. The two resonant frequencies are very close to the characteristic frequency of the trough peak on the characteristic curve of the real part of the impedance in fig. 12. The oscillating frequency of the voltage waveform of the capacitor C2 in fig. 11 is 13.2MHz, which is again very close to the peak imaginary frequency of 13.6MHz in fig. 13.
This indicates that the oscillation characteristics of the two RC loops are responsible for the occurrence of the dip and peak in the total impedance spectrum characteristic curve, and that the two oscillation frequencies are both within 35MHz (the threshold frequency for the occurrence of the second positive peak waveform distortion in the aforementioned CST simulation). It can be seen that the frequency at which the effect test can be performed using the composite structure of the field coil and bounded wave simulator in this example is upper-limited. In order to increase the threshold frequency at which waveform distortion begins to occur, the two oscillation frequencies should be increased, i.e., the coil inductance L and the equivalent capacitances C1 to C3 should be decreased. For a field coil, reducing the coil inductance L means reducing the physical length of the coil, i.e. reducing the coil radius; however, decreasing the equivalent capacitances C2 and C3 requires increasing the distance between the coil and the upper and lower plates of the bounded wave simulator, i.e., increasing the radius of the coil. This contradiction makes it difficult to increase the oscillation frequency. Therefore, in practical application, the application range for carrying out the effect test can be determined according to the upper limit of the frequency.
Although the embodiments of the present invention have been described with reference to the accompanying drawings, various changes or modifications may be made by the patentees within the scope of the appended claims, and within the scope of the invention, as long as they do not exceed the scope of the invention described in the claims.
Claims (9)
1. An equivalent circuit analysis model of the influence of a magnetic field coil on a space field of a bounded wave simulator is characterized by comprising a current source I, an equivalent capacitor C1 formed between an upper polar plate and a lower polar plate of the bounded wave simulator, an equivalent capacitor C2 formed by the upper polar plate of the bounded wave simulator and a part corresponding to the magnetic field coil, an equivalent capacitor C3 formed by the lower polar plate of the bounded wave simulator and a part corresponding to the magnetic field coil, a coil inductor L and a terminal matching load R of a bounded wave simulator loop; the equivalent capacitor C2, the coil inductor L and the equivalent capacitor C3 are sequentially connected in series and then connected in parallel with the equivalent capacitor C1 and the terminal matching load R, the equivalent capacitor C1 is connected in parallel with the terminal matching load R, and the current source I is connected in parallel with the equivalent capacitor C1 and then supplies power to the circuit;
the equivalent capacitors C2 and C3, the RLC series circuit formed by the inductor L and the resistor R, and the LC circuit formed by the equivalent capacitors C1, C2, C3 and the inductor L, all the capacitors and inductors in the circuit are laplace transformed, so that the total impedance of the circuit can be expressed as:
wherein the symbol "P" represents parallel;
the total capacitance of the equivalent capacitance C2 and the equivalent capacitance C3 after being connected in series, namely
(ii) a Laplace factor
。
2. The equivalent circuit analysis model of the effect of a magnetic field coil on a bounded wave simulator space field of claim 1, characterized in that for a structurally symmetric simulator structure, the equivalent capacitance C2 is equal to the equivalent capacitance C3.
3. The model of claim 1, wherein the current source I is a standard current source provided by a circuit simulation software, and the amplitude and waveform parameters of the current source can be set according to requirements.
4. The equivalent circuit analysis model of the influence of the magnetic field coil on the space field of the bounded wave simulator as recited in claim 1, wherein the bounded wave simulator comprises a rectangular shield, a circular magnetic field coil is disposed inside the shield, an opening is disposed on one end face of the shield, an excitation source is disposed at the opening, a terminal load is disposed on the other end face opposite to the opening, the excitation source and the terminal load are connected through a radiation antenna, the radiation antenna penetrates through the circular magnetic field coil, and a central axis of the radiation antenna coincides with a center of the circular magnetic field coil.
5. The equivalent circuit analysis model of the effect of the magnetic field coil on the space field of the bounded wave simulator of claim 4, wherein the radiation antenna is composed of an antenna upper plate and an antenna lower plate, the front ends of a plurality of metal wires of the antenna upper plate are connected with the zero potential end of the excitation source, the rear ends of the plurality of metal wires of the antenna upper plate are connected with one end of the excitation source, the front ends of the plurality of metal wires of the antenna lower plate are connected with the high voltage output end of the excitation source, and the rear ends of the plurality of metal wires of the antenna lower plate are connected with the other end of the excitation source.
6. The equivalent circuit analysis model of the influence of the magnetic field coil on the confined wave simulator space field of claim 5, characterized in that the antenna upper plate is divided into a front cone section, a parallel section and a rear cone section, wherein the central point of the region between the lower part of the parallel section and the antenna lower plate is an electric field observation point P1, the central point of the region defined by the antenna upper plate parallel section and the circular magnetic field coil is an electric field observation point P2, and the P2 point is located right above the P1 point.
7. The equivalent circuit analysis model of the effect of a magnetic field coil on a bounded wave simulator space field of claim 6, characterized in that the voltage waveform across the equivalent capacitance C1 represents the electric field observation point P1 vertical electric field waveform, and the voltage waveform across the equivalent capacitance C2 represents the electric field observation point P2 vertical electric field waveform.
8. The equivalent circuit analysis model of the effect of a magnetic field coil on a bounded wave simulator space field of claim 4, wherein the radiation antenna is made of stainless steel wire.
9. The equivalent circuit analysis model of the effect of a magnetic field coil on a bounded wave simulator space field of claim 4, wherein the excitation source is a voltage excitation with a Gaussian pulse waveform and an excitation voltage peak of 300 kV.
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