Electromagnetic Interference between Cranes and Broadcasting Antennas

An interesting phenomenon was noticed in some cases by workers operating with cranes in electromagnetic field of broadcasting antennas. They experienced electrical shock or burning pain at distances of kilometers away from powerful transmitters because cranes act as unintentional receiving antennas. The solution to this problem depends on dimensions and positioning of the crane structure, electromagnetic field strength at the site, frequency, and directional characteristic of the transmitting antenna. Electromagnetic interference between such structures is analyzed in this paper. Computational results for the induced currents and voltages in crane, treated as wire antenna problem, are determined using integrodifferential equations for the current along conductive structure, satisfying boundary condition for the electric field. Pointmatchingmethod as theMethod ofMoments (MoM) is applied for solving these equations and polynomial approximation of the current is used. Results are presented for different crane structures and possible solutions to this problem are given.


Introduction
When considering interference between natural electromagnetic sources of disturbances (terrestrial, as lightning discharges, or extraterrestrial, as cosmic radiation and solar wind) and various man-made objects (such as equipment, electronic devices, electric systems, power lines, communication and automation systems, and installations), the key issues are electromagnetic field strength, amplitudes of voltages and currents, electrical properties of the medium, dimensions and positioning of the structure, distances, and frequency. An adequate modeling would take into account a wide variety of configurations of the observed systems. In the last few decades rapid advance has been achieved due to development of numerical programs and modern computers possibilities. The analysis in this paper is based on the wire antenna approach and the ground is treated as perfectly conducting. Finite ground conductivity has some influence on induced voltages and currents, so it could be considered using the same procedure as in this paper, but the solution to this problem is what matters. However, these electromagnetic interference (EMI) problems were rarely noticed and described just in a few papers [1][2][3][4][5][6][7]. Large conductive structures permanently or temporarily positioned in electromagnetic field of powerful medium wave (MW) transmitters, if their dimensions are of the order of wavelength, might be dangerous for humans and equipment. AM transmission is nowadays mostly used for sports, news, and talk radio, whereas FM is better for sound. Digital audio broadcasting is advancing in many countries all over the world. Although there is a shift to higher frequencies for all systems, MW transmitters are still in operation throughout the world. AM carrier frequencies are assigned to stations in the frequency range from 531 to 1611 kHz, and, just in Europe, there are still more than a hundred of them with power ranging from 1 kW to 1 MW [8], depending on the targeted area (local, regional, or international).

Some EMI Problems
The   230 m (half-wave monopole). The electric field strength was 0 = 2.1 V/m at the crane's site. The solution to that problem was an egg-insulator inserted above the hook (Figure 1), thus disturbing the resonance of the formed contour. The limitation of this solution is its mechanical strength.
Values of the induced voltages were measured in some similar situations throughout the world. There are railmounted container cranes in the harbor of Tenerife, Spain, having 30.5 m span and capacity of 65 t. At one of them, the industrial bus was faulty each time when it was in the position to take the load from ship, or if its spreader descended near containers. Sensors and actuators were grounded to the crane structure, but the problem in control system persisted. In 2013, the induced current of 500 mA was measured, as well as 50 V voltage at the frequency = 621 kHz due to AM antenna broadcasting at this frequency (Spanish national radio broadcast) from the nearby mountain [6]. When they lubricated the wires of steel cables supporting the spreader and thus isolated the spreader from crane structure by inserting some impedance, the problem was temporarily solved. The crane structure is presented in Figure 2, and the instrument measuring the induced voltage is presented in Figures 3 and 4. The further work presented in this paper was initiated by coworking on this problem.
At the island Oahu (Hawaii), the crane operator experienced electrical shock while using it to lower steel peelings into the canal [2]. The crane had the boom of 33.5 m length  and was near transmitter broadcasting five AM and one FM channel at the frequencies from 30 to 100 MHz with the total power 117 kW and antenna of height ℎ = 122 m.
In 50 t rough-terrain crane in Japan [3] induced voltages in the hook up to 1.2 kV and several amperes measured in the boom of this crane were noticed. It was positioned in the far field of the transmitter operating at frequency = 624 kHz, at the distance where the measured electric field was 0 = 0.79 V/m. The case is examined further in this paper. In [3] the solution to put acrylic plate under outrigger floats is given, and also another solution to add a plain knit grounding wire in the hook was suggested.
On the building site in Rio de Janeiro (Brazil) where two cranes were used, workers reported electrical shock and skin burns when they touched the boom of the large crawler crane, and electronic systems of the smaller truck-based crane became inoperative [7]. The grounding of the vehicle did not solve the problem. It was due to AM transmitters operating with the power of 100 kW at 1 = 1280 kHz (station 1) and at 2 = 900 kHz (station 2), approximately 230 meters from the building site. Practical solution to the problem was a coil wounded around the hydraulic jack of the crane, with one end connected to the hook and the other grounded to a nearby point.
EMI problem was noticed also by workers using a large crane during the assembly phase of the turbine component, while building wind power plant in Turkey [5], nearby AM transmitter operating at = 702 kHz with the power of 550 kW. Steel tower of the turbine had 80 meters of height, and the rotor with three blades 44 meters long. The main boom of the crane was 110 m long and there was also a shorter auxiliary boom. Crane site was 8 km from the transmitter. Additional grounding was used to mitigate the induced effects.
International Journal of Antennas and Propagation All the mentioned problems may be treated as receiving wire antenna in external electromagnetic field, so that some of the codes may be used as NEC [9], AWAS [10], and so forth. Programs AWAS and SPAN [11] are used in this paper to calculate induced currents and voltages for the given examples.

Crane Acting as Receiving Antenna in External Electromagnetic Field
To model the crane structure as wire antenna in external electromagnetic field, it is necessary to determine if the field is near or far. For all the mentioned cases, the construction work is done in the far field of transmitting antenna, at a few hundreds of meters or even kilometers away [12,13]. Near field is in fact prohibited area with electric field values much over the occupational/controlled limits according to regulations. It should be noticed that mentioned problems occur in the area with electric field values below the public limits for these frequencies [14]. Let us assume that receiving antenna is in a plane wave electromagnetic field, so that electric field is where and are spherical coordinates, , , and are Descartes coordinates given in Figure 5, 0 is the maximum electric field strength, = 2 / is the phase constant, = / is the wavelength, and is the speed of light. The crane is treated as wire antenna structure at perfectly conducting ground. To model a 50 t rough-terrain crane [3] with cylindrical segments, the boom segment is taken of height ℎ 1 = 50.5 m and radius 1 = 37.5 cm, the jib of length ℎ 2 = 26 m and radius 2 = 20 cm, and the wire of length ℎ 3 = 48 m and radius 3 = 1.5 cm. This is the first examined crane, denoted by case A. For the second examined crane, denoted by case B, lengths are the same for all segments, but radii are 1 = 15 cm, 2 = 10 cm, and 3 = 2.5 cm. The hook is at height 2.5 m above the ground, in both cases. If using FDTD method as in [3], calculated induced voltages are about 600 V, whereas measured results from [3] are up to 1.2 kV, and induced currents are of several amperes, if the maximum electric field is 0 = 0.79 V/m and = 624 kHz. Results for this crane are calculated in this paper using AWAS [10], based on Pocklington's equation [15] and polynomial approximation of the currents [16]. The induced voltages are given in Table 1 for case A and in Table 2 for case B, for the range of frequencies of interest and the three propagation directions. These show that frequencies producing the largest voltages differ in the two cases, so as the maximum of induced voltages. At = 727 kHz maximum voltage maxA = 1161.98 V is calculated in case A, whereas at = 676 kHz voltage maxB = 1433.24 V in case B, both for the propagation directions = /2, = 0. The induced currents along the structure are given in Figures 6-11, starting from the base of the boom, along the jib, and down the wire to the hook at the end. These results are given in Figure 6 for the electric field It is shown that at some frequencies the phenomenon will not be noticed at all. The maximum of induced current at the base of the boom is about 5 amperes, and it occurs for the frequency = 727 kHz and the propagation directions = 4 International Journal of Antennas and Propagation  There is a difference in current results at segments beginnings/ends, if compared to FDTD results [3]. There are no discontinuities in currents results due to Kirchhoff 's law for currents at nodes which is satisfied in the applied procedure. The chosen polynomial degree is = 3. In case B, for ±30 kHz, currents along the structure are about one-third of the value at = 676 kHz, as shown in Figure 10. Resonant characteristics of this structure may be noticed also in results for the induced voltages versus frequency in Figures 12 and  13, for the two cases A and B.
From the calculation of induced currents and voltages for these two cases it may be noticed that the change in segments cross section dimensions has great influence. Change of wire diameter, determined also with mechanical constraints, changes resonant frequency and in this way the problem

Computation Procedure Based on Hallen's Equation
Magnetic vector-potential of a wire antenna structure with linear cylindrical segments, having current distribution ( ) along th segment, is obtained as the sum of components. Each component ( ) is in the direction of th segment, having length ℎ and radius , so that where , , , , and , are Euler's angles between the th and th segments of Descartes coordinate systems. Boundary condition for the tangential component of electric field at the conductive surface and Lorenz gauge condition are used, so that ( ) where 1 and 2 are complex constants and is the external electric field component at the surface of the th segment. Function (6) is written as which results in the system of integrodifferential equations of Hallen's type [17] for the currents along this structure: and for = In (8), ( ) is the concentrated impedance at point ( ) along the th segment, for = 1, . . . , , where is the total number of concentrated impedances for that segment. This system of equations is solved by Point matching method as the Method of Moments (MoM) [18] and matching points are equidistantly positioned at the surface of each segment, including the beginnings and ends of segments. Currents are assumed to be distributed along the axes of segments, although they are flowing along the conductive surface of the structure, in order to avoid singularities in integrals. Distributions of the currents are unknowns and they are approximated by polynomials [16].
The distance between the matching point ( , , ) at th segment surface and the point (0, 0, ) along the axis of th segment, where the elementary current source is positioned, for ̸ = is and for = ( , , , , , ) is the beginning of the th segment, that is, its coordinate system origin, recalculated into the th segment coordinate system. Kirchhoff 's current law is satisfied for all the nodes. For antenna segments incident to node , Kirchhoff's law is for unknown complex coefficients and chosen polynomial degree in the approximation of current along the th segment. Coordinate of the beginning/end of th segment is and ℎ is the segment length. Electric potential is calculated from the following expression:

Tower Crane and Turn-Over Crane Examples
More complex crane structures are modelled and system of (8) is solved for each example using the presented procedure. Some interesting results for tower crane and turn-over crane [1] are obtained. For the crane in Figure 14 in far electromagnetic field, = 1 V/m, = 0, for = 1 MHz and different propagation directions, effective current along main tower segment of the height = 34 m is presented in Figure 15, for the polynomial degree = 5 and impedance = 100 Ω. If the turn-over crane given in Figure 16 is in the same field, the effective current along boom segment of the height = 32 m is presented in Figure 17. For = 1MHz the wavelength is = 300 m. The results for different frequencies are analyzed and it is obtained that for the tower crane example the maximum currents along the structure and maximum touch voltages at the hook are at = 725.8 kHz and for the turn-over crane are at = 1.49 MHz. Eight segments and seven nodes were chosen to model the tower crane at perfectly conducting ground, whereas six segments and six nodes were chosen for the turnover crane.

Reloading Bridge and Portal-Harbor Crane Examples
It is important to consider reloading bridges, portal-harbor cranes, and container cranes, as they may be permanently in the field of MW transmitter a few kilometers from the crane's site. Electric fields in such cases are often of the order of V/m, depending on the transmitter power and vicinity. Positions of such cranes should be carefully selected based on modeling of the specific problem. Induced effects may pose great risk in some cases [19,20].
An example of the reloading bridge with its dimensions is given in Figure 18. Portal-harbor crane of dimensions very similar to the described rail-mounted container crane is presented in Figure 19. For these cranes positioned in the far field, for = 1V/m, = 0, = /2, and = /2, touch voltages and induced currents are calculated for the polynomial degree = 5 and impedance = 1000 Ω. Results are presented in Figures 20 and 21. Induced voltage for the portal-harbor crane is about 50 V for frequency = 621 kHz, as measured in Tenerife (Spain), although this is just a simplified model.
The impedance which models a human touching the hook may be chosen according to the frequency of interest and using results from [21][22][23][24][25].
It may be concluded that the reloading bridge is more suitable, as it has less resonant frequencies, smaller values of

Conclusion
Currents up to several amperes and touch voltages up to about 1 kV may be induced in large cranes nearby MW transmitters. At such frequencies these values may result in electrical shock, painful burns, and dangerous involuntary movements of workers, but also in faults in the automation and control systems of cranes. Analysis of such problems is presented in this paper as well as results for induced current and voltages for different configurations of crane structures.
Current distribution along the crane structure is determined using wire antenna model of the crane and electromagnetic theory approach. Currents along segments are approximated by polynomials. System of integral equations for the currents is solved using Point matching method. Results are in agreement with measured currents and voltages.
This approach may be used to analyze specific problems, especially before positioning of reloading bridges and container cranes nearby MW transmitters. Some practical solutions to this problem are also given in the paper.