Early-stage high-altitude electromagnetic pulse incidence and polarization parameter determination method and coupling effect analysis method thereof

Abstract

The invention relates to an early-stage high-altitude electromagnetic pulse incidence and polarization parameter determination method and a coupling effect analysis method thereof, belongs to the technical field of strong electromagnetic pulses, and meets the requirements of early-stage high-altitude electromagnetic pulse coupling effect analysis. The incidence and polarization parameter determination method comprises the steps of determining parameters of a blasting point and an observation point, solving an incidence elevation angle and an incidence azimuth angle, solving an incidence direction and a unit electric field vector, and solving a polarization angle. According to the coupling effect analysis method, early-stage high-altitude electromagnetic pulse coupling effect analysis of the power electronic system is carried out by utilizing early-stage high-altitude electromagnetic pulse incidence and polarization parameters. The method is used for analyzing the early-stage high-altitude electromagnetic pulse coupling effect of the power electronic system.

Description

Technical Field

[0001] The invention belongs to the technical field of strong electromagnetic pulses, and in particular relates to a method for determining early high-altitude electromagnetic pulse incidence and polarization parameters and a method for analyzing coupling effects thereof. Background Art

[0002] The early high-altitude nuclear electromagnetic pulse E1 has a wide coverage range, up to thousands of kilometers, and the incident and polarization directions are different at different locations (or observation points). E1 can generate high voltage and large current by coupling with various cables such as overhead lines and control lines, damaging key electronic and electrical equipment, causing failure and paralysis of electronic and electrical systems in a large area. The incident and polarization parameters of E1 are one of the important factors affecting its coupling effect. However, there is currently a lack of intuitive theoretical calculation methods. Therefore, it is of great significance to establish a theoretical calculation method for the incident and polarization parameters. Summary of the invention

[0003] In order to meet the needs of early high-altitude electromagnetic pulse coupling effect analysis, the present invention proposes an early high-altitude electromagnetic pulse incident and polarization parameter determination method and a coupling effect analysis method thereof.

[0004] The technical solution adopted by the present invention to solve the technical problem is:

[0005] An early high-altitude electromagnetic pulse incident and polarization parameter determination method comprises the following steps:

[0006] Step 1: Determine the burst point and observation point parameters:

[0007] Take the ground zero point as the coordinate origin, geomagnetic east as the x direction, and geomagnetic south as the y direction to determine the explosion height H of explosion point A. b , observation point B coordinates (x B ,y B ) and the geomagnetic inclination θ b .

[0008] Step 2, calculate the incident elevation angle and azimuth angle:

[0009] Calculate the incident elevation angle θ and azimuth angle of the E1 environment at observation point B

[0010] Step 3, find the incident direction and unit electric field vector:

[0011] Using the spatial position relationship and electromagnetic field distribution, the incident direction vector of the E1 environment at observation point B is obtained. Incident unit electric field vector

[0012] Step 4, calculate the polarization angle:

[0013] Using the spatial orientation relationship and electromagnetic field distribution, the polarization angle of the E1 environment at observation point B is obtained.

[0014] The above-mentioned early high-altitude electromagnetic pulse incident and polarization parameter determination method, the step 2 of obtaining the incident elevation angle and azimuth angle further includes:

[0015] Using the spatial position relationship, the incident elevation angle θ of the E1 environment at the observation point B is calculated as follows:

[0016]

[0017] In the above formula:

[0018]

[0019] AO=R e +H b

[0020] BO=R e

[0021] R e is the radius of the earth, ∠AOB is the angle formed by the explosion point A, the center of the earth O and the observation point B,

[0022] Using the spatial orientation relationship, calculate the azimuth of the E1 environment at observation point B The calculation formula is as follows:

[0023]

[0024] The above-mentioned early high-altitude electromagnetic pulse incident and polarization parameter determination method, the step 3 of obtaining the incident direction and the unit electric field vector further includes:

[0025] According to the incident direction vector formula, the incident direction vector of the E1 environment at observation point B is The calculation formula is as follows:

[0026]

[0027] In the above formula,

[0028] According to the unit electric field vector formula, the unit electric field vector of the E1 environment at observation point B is The calculation formula is as follows:

[0029]

[0030] In the above-mentioned early high-altitude electromagnetic pulse incidence and polarization parameter determination method, the step 4 of obtaining the polarization angle further comprises:

[0031] According to the polarization angle formula, the polarization angle of the E1 environment at observation point B is obtained: The calculation formula is as follows:

[0032]

[0033] In the above formula, α h is the horizontal polarization component, α v is the vertical polarization component.

[0034] The above-mentioned early high-altitude electromagnetic pulse incidence and polarization parameter determination method, the horizontal polarization component α h , vertical polarization component α v , calculated as follows:

[0035]

[0036] A method for analyzing the coupling effect of an early high-altitude electromagnetic pulse includes determining the incidence and polarization parameters of an early high-altitude electromagnetic pulse and analyzing the coupling effect in step 5.

[0037] Step 5, coupling effect analysis:

[0038] The early high-altitude electromagnetic pulse coupling effect of power electronic system is analyzed by using the early high-altitude electromagnetic pulse incident and polarization parameters.

[0039] The beneficial effects of the present invention are:

[0040] An early method for determining the incident and polarization parameters of high-altitude electromagnetic pulses can intuitively and efficiently give the incident and polarization parameters at different observation points on the earth's surface, thereby providing input for the analysis of coupling effects of electronic power systems. BRIEF DESCRIPTION OF THE DRAWINGS

[0041] Figure 1 The explosion point and observation point are defined in the second embodiment of the present invention;

[0042] Figure 2 The following are definitions of the incident elevation angle, azimuth angle and polarization angle in the second embodiment of the present invention;

[0043] Figure 3 The spatial distribution of the incident elevation angle in the second embodiment of the present invention;

[0044] Figure 4 The spatial distribution of the incident azimuth angle in the second embodiment of the present invention;

[0045] Figure 5 The spatial distribution of the horizontal component of the incident direction vector in the second embodiment of the present invention;

[0046] Figure 6 The spatial distribution of the horizontal component of the incident electric field vector in the second embodiment of the present invention;

[0047] Figure 7 This is the spatial distribution of the horizontal polarization component in the second embodiment of the present invention;

[0048] Figure 8 This is the spatial distribution of the vertical polarization component in the second embodiment of the present invention;

[0049] Fig. 9 FIG. 4 is the spatial distribution of the two polarization angles in the embodiment of the present invention. DETAILED DESCRIPTION

[0050] The present invention is further described in detail below with reference to the accompanying drawings and specific embodiments.

[0051] Embodiment 1

[0052] An early method for determining the incidence and polarization parameters of high-altitude electromagnetic pulses. A coordinate system is established with the ground zero point as the origin to determine the burst height, observation point coordinates, magnetic inclination and other parameters. Then, the incident elevation angle θ and azimuth of E1 are calculated using the formula Incident direction vector Incident unit electric field vector Polarization Angle This method can intuitively and quickly give the incident and polarization parameters of E1 at different observation points on the earth's surface, and specifically includes the following steps:

[0053] Step 1: Determine the parameters of the burst point and observation point: Take the ground zero point as the coordinate origin, geomagnetic east as the x direction, geomagnetic south as the y direction, and vertical to the earth as the z direction to determine the burst height H of burst point A. b , observation point B coordinates (x B ,y B ) and the geomagnetic inclination θ b .

[0054] Step 2: Calculate the incident elevation angle θ and azimuth angle Use the elevation angle calculation formula to calculate the incident elevation angle of the E1 environment at observation point B

[0055]

[0056] in

[0057]

[0058] AO=R e +H b

[0059] BO=R e

[0060] R e is the radius of the Earth;

[0061] ∠AOB is the angle formed by the explosion point A, the center of the earth O and the observation point B. Calculate the incident azimuth of the E1 environment at observation point B using the azimuth formula

[0062]

[0063] Step 3: Obtain the incident direction and unit electric field vector: Use the incident direction vector formula to calculate the incident direction vector

[0064]

[0065] in

[0066] Calculate the unit electric field vector using the unit electric field vector formula

[0067]

[0068] Step 4: Obtain the horizontal polarization component, vertical polarization component and polarization angle: Calculate the horizontal polarization component α using the following formula: h and the vertical polarization component α v

[0069]

[0070] in

[0071] Calculate the polarization angle using the polarization angle calculation formula

[0072]

[0073] In step 2, the incident elevation angle θ and azimuth angle The order of calculation can be interchanged.

[0074] The incident direction in step 3 and the unit electric field vector The order of calculation can be interchanged.

[0075] The calculation order of step 3 and step 4 can be interchanged.

[0076] Embodiment 2

[0077] Figure 1 The definitions of the burst point and observation point are given, where the burst point is located above a certain ground and the burst height H b is 100km, the radius of the earth is R e The spatial distribution of the incident and polarization parameters of E1 in the field of view is solved, where the definitions of the incident elevation angle and polarization angle are as follows: Figure 2 shown.

[0078] This embodiment provides a method for determining early high-altitude electromagnetic pulse incidence and polarization parameters, which is implemented through the following steps.

[0079] Step 1: Take the ground zero point as the coordinate origin, the geomagnetic east as the x direction, the geomagnetic south as the y direction, and the explosion height H b =100km, the magnetic inclination angle θ in Xi'an b =52.6°, and an observation point is taken every 30km within the field of view, so

[0080] x B =-1080+30m(m=0,…,72)

[0081] y B =-1080+30n(n=0,…,72)

[0082] m and n represent the serial numbers of the observation points.

[0083] Step 2: For each group (x B ,y B ), use the incident elevation angle and azimuth angle formula to calculate the corresponding incident elevation angle θ and azimuth angle respectively According to the previous analysis, we know that θ and is a 73×73 matrix. The spatial distribution of the incident elevation angle and azimuth angle are calculated as follows: Figure 3 and Figure 4 As shown, where X and Y are the coordinates of the observation point.

[0084] Step 3: For each group (x B ,y B ), and use the incident direction and unit electric field vector formula to calculate the corresponding incident direction and unit electric field vector. The spatial distribution of the incident direction and the horizontal component of the unit electric field vector are as follows: Figure 5 and Figure 6 shown.

[0085] Step 4: For each group (x B ,y B ), use the horizontal polarization component, vertical polarization component and polarization angle formula to calculate the corresponding horizontal polarization component, vertical polarization component and polarization angle The spatial distributions of the horizontal polarization component and the vertical polarization component are as follows: Figure 7 and Figure 8 The spatial distribution of polarization angle is shown in Fig. 9 shown.

[0086] Embodiment 3

[0087] A method for analyzing the coupling effect of an early high-altitude electromagnetic pulse includes determining the incidence and polarization parameters of the early high-altitude electromagnetic pulse and analyzing the coupling effect.

[0088] Coupling effect analysis, that is, using the early high-altitude electromagnetic pulse incidence and polarization parameters to analyze the coupling effects of early high-altitude electromagnetic pulses on power electronic systems.

Claims

1. A method for determining early high-altitude electromagnetic pulse incidence and polarization parameters, characterized in that: The following steps are involved: Step 1: Determine the burst point and observation point parameters: Take the ground zero point as the coordinate origin, geomagnetic east as the x direction, and geomagnetic south as the y direction to determine the explosion height H of explosion point A. b , observation point B coordinates (x B ,y B ) and the geomagnetic inclination θ b ; Step 2, calculate the incident elevation angle and azimuth angle: Calculate the incident elevation angle θ and azimuth angle of the E1 environment at observation point B Step 3, find the incident direction and unit electric field vector: Using the spatial position relationship and electromagnetic field distribution, the incident direction vector of the E1 environment at observation point B is obtained. Incident unit electric field vector Step 4, calculate the polarization angle: Using the spatial orientation relationship and electromagnetic field distribution, the polarization angle of the E1 environment at observation point B is obtained.

2. The method for determining early high-altitude electromagnetic pulse incidence and polarization parameters according to claim 1, characterized in that: The step 2 of obtaining the incident elevation angle and azimuth angle further comprises: Using the spatial position relationship, the incident elevation angle θ of the E1 environment at the observation point B is calculated as follows: In the above formula: AO=R e +H b BO=R e R e is the radius of the earth, ∠AOB is the angle formed by the explosion point A, the center of the earth O and the observation point B, Using the spatial orientation relationship, calculate the azimuth of the E1 environment at observation point B The calculation formula is as follows:

3. The method for determining early high-altitude electromagnetic pulse incidence and polarization parameters according to claim 1, characterized in that: The step 3 of obtaining the incident direction and the unit electric field vector further comprises: According to the incident direction vector formula, the incident direction vector of the E1 environment at observation point B is The calculation formula is as follows: In the above formula, According to the unit electric field vector formula, the unit electric field vector of the E1 environment at observation point B is The calculation formula is as follows:

4. The method for determining early high-altitude electromagnetic pulse incidence and polarization parameters according to claim 1, characterized in that: The step 4 of obtaining the polarization angle further comprises: According to the polarization angle formula, the polarization angle of the E1 environment at observation point B is obtained: The calculation formula is as follows: In the above formula, α h is the horizontal polarization component, α v is the vertical polarization component.

5. The method for determining early high-altitude electromagnetic pulse incidence and polarization parameters according to claim 4, characterized in that: The horizontal polarization component α h , vertical polarization component α v , calculated as follows:

6. A coupling effect analysis method comprising the incident and polarization parameter determination method according to any one of claims 1 to 5, It is characterized in that It also includes step 5 coupling effect analysis; Step 5, coupling effect analysis: The early high-altitude electromagnetic pulse coupling effect of power electronic system is analyzed by using the early high-altitude electromagnetic pulse incident and polarization parameters.

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