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Marx generator

A Marx generator is an electrical circuit that generates high-voltage pulses from a low-voltage DC supply by charging multiple capacitors in parallel and then discharging them in series through switches such as spark gaps, effectively multiplying the voltage by the number of stages.^[1] Invented by German electrical engineer Erwin Otto Marx in 1924, it was originally developed for testing insulators under impulse voltages and has since evolved into a cornerstone of pulsed power systems.^[2]^[1] The device operates in two main phases: charging, where capacitors are filled to the input voltage via resistors while isolated by open switches, and discharging, triggered by a closing switch that initiates a rapid cascade of breakdowns across subsequent switches, forming a series connection that delivers a fast-rising, high-amplitude pulse—typically with rise times on the order of nanoseconds and voltages exceeding 1 MV in multi-stage configurations.^[3]^[1] Key components include the capacitors for energy storage, resistors for controlled charging and wave shaping, and switches (traditionally spark gaps, but increasingly solid-state devices like thyristors or IGBTs for improved reliability) arranged in cascaded stages, often immersed in insulating oil or gas for high-voltage handling.^[3]^[4] Marx generators find extensive use in high-energy physics for driving particle accelerators and producing flash X-rays or gamma rays, in materials science for studying extreme conditions, and in engineering for simulating lightning strikes on power systems and aircraft components.^[3]^[1] Modern variants, such as impedance-matched Marx generators (IMGs), optimize energy transfer to loads by matching circuit impedance, achieving efficiencies up to 90% and lifetimes over 10,000 shots, enabling repetitive operation at rates above 0.1 Hz for demanding applications like inertial confinement fusion and high-power microwave generation.^[3]

History

Invention and Early Work

Erwin Otto Marx (1893–1980), a German electrical engineer and professor at the Technical University of Braunschweig, developed the Marx generator during his research on high-voltage phenomena in the early 1920s.^[5] His work focused on practical solutions for electrical engineering challenges in power transmission systems, where reliable insulation against transient overvoltages was critical. Marx's invention addressed the need for controlled high-voltage pulses in laboratory settings, stemming from his expertise in electrical discharges and insulation materials.^[6] In 1924, Marx published his foundational description of the circuit in the Elektrotechnische Zeitschrift, titled "Versuche über die Prüfung von Isolatoren mit Spannungsstößen," detailing a generator capable of producing steep-front high-voltage surges.^[2] The primary purpose was to simulate lightning-induced impulses for testing the dielectric strength of insulators used in overhead power lines, enabling engineers to evaluate breakdown risks under realistic surge conditions without relying on natural events.^[7] This approach allowed for repeatable experiments that improved the design and safety of electrical grids during a period of expanding high-voltage transmission networks in Europe. Marx's initial prototypes utilized simple, available components: glass-plate capacitors for energy storage and open-air spark gaps as switches, arranged in a multi-stage configuration of 4 to 6 levels.^[8] These setups achieved output voltages of several kilovolts, sufficient for insulation testing at the time, with the capacitors charged in parallel from a low-voltage DC source and discharged in series upon sequential spark gap breakdown.^[9] The design emphasized compactness and cost-effectiveness, using readily fabricated elements to generate pulses with rise times on the order of microseconds. The innovation lay in Marx's integration of parallel charging and triggered series discharging, which amplified voltage efficiently while building on prior capacitor-based discharge circuits from the late 19th and early 20th centuries.^[10] This mechanism overcame limitations of single-stage systems by cascading stages without requiring complex transformers, marking a significant advance in pulse power technology for electrical engineering applications.^[7]

Subsequent Developments

In the 1930s and 1940s, Marx generators gained adoption in U.S. laboratories, where high-voltage pulses were essential for testing components under extreme conditions. By the 1950s, these devices were demonstrated publicly, such as at the Leipzig Trade Fair in East Germany in 1954, showcasing a multi-stage Marx generator to illustrate high-voltage pulse generation capabilities.^[11] During this period, oil-immersed designs emerged to enable safer operation at higher voltages, insulating components like capacitors and spark gaps in transformer oil to prevent breakdowns and support voltages exceeding hundreds of kilovolts.^[12] From the 1960s to the 1980s, Marx generators scaled to megavolt levels, facilitating their integration into large-scale systems like particle accelerators. A notable example is the 18 MV Marx generator developed at Sandia Laboratories in 1969 for the Hermes II accelerator, which used 186 capacitor stages immersed in oil and achieved 1 MJ energy storage for flash X-ray production in accelerator experiments. Concurrently, advancements in triggered spark gaps improved reliability and timing precision; techniques such as UV pre-ionization were introduced to initiate breakdowns more controllably, reducing jitter in multi-stage setups for applications requiring synchronized pulses.^[13] In the 1990s and into the 2020s, Marx generators evolved into key components of major pulsed power facilities, exemplified by Sandia's Z Machine, operational since 1996, which employs 36 Marx generators to deliver pulses from a 20 MJ stored energy reservoir, producing multi-terawatt outputs for high-energy-density physics.^[14]^[15] Recent innovations include solid-state triggering mechanisms, replacing traditional spark gaps with semiconductor switches for enhanced repetition rates and longevity, as demonstrated in a 2023 design using fast recovery diodes to generate rectangular high-voltage pulses without through-current issues.^[16] Compact Marx configurations have also advanced, supporting miniaturized, high-efficiency pulse sources for space-constrained applications. As of 2025, research into hybrid Marx designs, such as impedance-matched topologies integrated with traditional banks, is advancing toward terawatt-level pulses for inertial confinement fusion experiments, with potential to enhance energy delivery in facilities like the Z Machine.^[17]^[18]

Principle of Operation

Basic Mechanism

The Marx generator functions through a three-phase operational cycle: charging, triggering, and discharge, enabling the production of high-voltage pulses from a relatively low DC input. During the charging phase, the capacitors in each stage are connected in parallel and charged to a common voltage, typically 10-50 kV per stage, via resistors from a DC power supply. This parallel configuration allows the capacitors to store energy efficiently at the supply voltage without exceeding the breakdown limits of the intervening spark gaps, which are preset to withstand slightly above the charging voltage. The charging process is relatively slow, often taking seconds to minutes depending on the resistor values and capacitance, to limit current and prevent premature gap firing.^[19] In the triggering phase, once the capacitors are fully charged, the first spark gap is deliberately fired—often by an external trigger pulse that reduces its gap distance or applies a high-voltage impulse to initiate breakdown. This initial firing causes a sudden redistribution of voltage due to capacitive coupling between adjacent stages and ground, inducing overvoltages across the subsequent spark gaps. As a result, the gaps break down sequentially in a rapid chain reaction, with each firing event further propagating the voltage stress to the next stage. This self-triggering mechanism ensures reliable erection of the full circuit without needing individual triggers for every gap.^[20]^[19] The discharge phase follows immediately upon full circuit erection, reconfiguring the capacitors into a series connection that multiplies the voltage and delivers a high-amplitude pulse to the load through a final output spark gap or waveguide. The load receives the erected voltage, ideally n times the stage voltage for an n-stage generator, but this peak is transient as the energy dissipates rapidly into the load. Pulse durations typically range from 100 ns to 1 μs, determined by the total capacitance, load impedance, and discharge path resistance. A key aspect of this phase is the erection time—the interval for sequential gap firing—which is generally 10-100 ns in multi-stage setups, influenced by circuit parasitics and gap spacing. In a basic n-stage generator, the load experiences the full erected voltage only briefly before the spark gaps de-ionize, allowing the circuit to reset for recharging.^[21]^[22]^[20]

Theoretical Voltage Multiplication

The Marx generator achieves voltage multiplication by initially charging its capacitors in parallel and then reconfiguring them into a series connection during discharge. In the ideal case, for a generator with n stages, each capacitor C is charged to a voltage V_C, resulting in an output voltage V_{\text{out}} = n V_C across the load.^[19] This multiplication arises from the conservation of charge during the transition from parallel to series configuration. During the charging phase, each capacitor stores a charge Q = C V_C. Upon triggering, the capacitors connect in series, forming an equivalent capacitance C_{\text{eq}} = C / n. The total voltage then becomes V_{\text{out}} = Q / C_{\text{eq}} = (C V_C) / (C / n) = n V_C, as the same charge Q distributes across the series string.^[19] In practice, the output voltage deviates from this ideal due to factors such as load impedance mismatch, which causes voltage droop as the pulse propagates. When the generator's characteristic impedance does not match the load, energy dissipation leads to a gradual decline in peak voltage, reducing the effective multiplication factor below n.^[23] The total energy stored in the generator before discharge provides context for these limitations, given by E = \frac{1}{2} n C V_C^2, equivalent to the energy in the series configuration \frac{1}{2} (C / n) (n V_C)^2. This energy partially transfers to the load, with losses amplifying droop in mismatched systems.^[19] The triggering of spark gaps, essential for series reconfiguration, relies on reaching the breakdown voltage V_{\text{bd}} \approx (E/N) d, where E/N is the critical electric field strength and d is the gap distance. This condition follows from Paschen's law, which describes gas breakdown as a function of pressure-distance product, ensuring sequential firing without external triggers in self-erecting designs.^[24]

Design Considerations

Component Selection

The selection of capacitors in a Marx generator is critical for achieving efficient energy storage and rapid discharge, with pulse-rated types such as metallized polypropylene film or oil-filled variants commonly employed due to their ability to handle high voltages and fast transients.^[25]^[26] Typical capacitance per stage ranges from 0.1 to 10 μF, allowing for stored energies on the order of several joules to kilojoules depending on the stage voltage, while low equivalent series inductance (often below 10 nH) minimizes ringing in the output pulse.^[27] These capacitors must withstand high rates of voltage change, with dV/dt ratings exceeding 10 kV/μs to support rise times under 100 ns in multi-stage configurations.^[28] Early designs utilized glass-plate capacitors for their availability, though modern implementations favor polymer or oil-impregnated dielectrics for improved reliability and compactness.^[26] Charging elements, typically resistors connected between stages, control the parallel charging process and provide isolation during discharge, with values in the 1-10 MΩ range selected to yield an RC time constant of approximately 1-10 ms for efficient low-repetition-rate operation.^[29] This time constant ensures uniform charging across stages without excessive power supply demands, while also limiting fault currents if a premature breakdown occurs.^[30] Alternatives such as inductive charging circuits can reduce resistive losses and enable higher repetition rates by storing energy magnetically during the charge phase, though they introduce complexity in tuning the resonant frequency to match the power supply.^[31] Spark gaps serve as the switching elements, connecting capacitors in series upon breakdown, and their design emphasizes materials like tungsten or brass electrodes for durability under high-current arcs and erosion resistance.^[26]^[32] Gap lengths are typically 1-5 cm per megavolt of stage voltage to balance breakdown reliability with compactness, adjusted via electrode spacing or ambient pressure to set the self-breakdown threshold slightly above the charging voltage.^[26] Self-breaking gaps rely on overvoltage for initiation and are simpler for single-shot applications, whereas triggered variants incorporate a third electrode for precise timing in repetitive or synchronized systems.^[33] Dielectrics for immersing components enhance insulation and prevent premature breakdowns, with transformer oil providing effective liquid insulation for voltages up to several hundred kilovolts per stage due to its high breakdown strength of about 15-30 kV/cm.^[26] Sulfur hexafluoride (SF6) gas offers superior performance, enabling approximately three times higher operating voltages for the same gap dimensions owing to its dielectric strength roughly three times that of air, though it necessitates containment in pressure vessels rated up to 10 atm to maintain density and prevent leaks.^[34]^[35] Component trade-offs revolve around balancing capacitance for greater energy storage—since total output energy scales with the number of stages and per-stage capacitance—against practical constraints like size and weight, as higher-capacitance oil-filled units increase overall mass and require robust enclosures, limiting portability in field applications.^[26] Spark gap materials must also trade erosion resistance (favoring tungsten alloys) against cost and machinability (favoring brass), while dielectric choices weigh voltage capability against environmental and safety concerns, such as SF6's greenhouse gas potential.^[32]^[34]

Optimization Techniques

Optimization techniques for Marx generators focus on enhancing triggering reliability, minimizing parasitic effects, and improving overall efficiency to achieve higher voltage outputs with reduced jitter and power losses. Key advancements in triggering involve UV pre-ionization using deuterium lamps, which illuminates spark gaps to initiate uniform breakdown, reducing timing jitter to below 5 ns by promoting consistent electron availability across the gap.^[36] Similarly, radioactive doping with isotopes such as Cs-137 or Ni-63 introduces beta particles to seed ionization in the gas, further lowering jitter in self-breakdown modes by enhancing initial plasma formation without external triggers.^[37] Laser-induced plasma triggering represents a high-precision method, where femtosecond laser filaments create conductive channels in air or gas, enabling jitter reduction from approximately 100 ns in untreated systems to as low as 1 ns, ideal for synchronized multi-stage operation.^[38] Insulation and cooling strategies address thermal management and inductance limitations to sustain repetitive pulsing. Coaxial geometries for capacitors and spark gaps minimize stage inductance to under 10 nH by optimizing field uniformity and reducing stray magnetic fields, which preserves pulse rise times in high-voltage configurations.^[28] For charging circuits, liquid resistors based on copper sulfate solutions provide distributed resistance with advantages in heat dissipation and energy handling compared to solid resistors during capacitor charging.^[39] Efficiency enhancements mitigate voltage droop during discharge, where wave-erector circuits utilize stray capacitances between stages to propagate a traveling wave that reinforces the output voltage profile, compensating for capacitive division losses in multi-stage setups.^[40] Due to environmental concerns over SF6's high global warming potential, eco-friendly gas mixtures like SF6/N2 (typically 10-50% SF6) or emerging alternatives such as C4F7N mixtures and dry air insulation offer comparable dielectric strength for insulation while reducing environmental impact; for example, as of 2025, proof-of-concept designs demonstrate viable air-insulated medium-voltage Marx generators.^[41]^[42] Modern designs in the 2020s incorporate fiber-optic triggering systems, transmitting laser or electrical signals via optical fibers to switches, which isolates control electronics from high-voltage environments and minimizes electromagnetic interference, facilitating remote operation in intense field applications.^[43] These techniques collectively enable Marx generators to achieve reliable, high-repetition-rate performance with outputs exceeding 1 MV and pulse durations under 100 ns.

Variants and Modifications

Stage Configurations

Marx generators are typically configured as single-bank systems, consisting of a linear array of n stages—commonly ranging from 4 to 100—where each stage includes a capacitor, charging resistor, and spark gap, enabling voltage multiplication up to approximately 5 MV depending on the charging voltage and stage count.^[44] In contrast, multi-bank configurations parallel multiple independent Marx generators to achieve higher currents and total power outputs while maintaining or scaling voltage levels; for instance, the Sandia Z Machine employs 36 parallel Marx banks, each with 60 stages charged to 85 kV, delivering approximately 5 MV at the load and terawatt-level powers (up to 80 TW electrical, 350 TW X-ray) for X-ray generation experiments.^[14]^[45] For applications requiring portability, compact configurations such as micro- or mini-Marx generators use fewer stages, typically 2 to 4, to produce outputs around 100 kV within a footprint under 1 meter in length. These designs integrate low-inductance components and often pair with voltage multipliers like Cockcroft-Walton circuits for charging, making them suitable for mobile high-voltage sources in devices like portable X-ray systems.^[46] Hybrid setups combine Marx generators with pulse-forming networks, such as Blumlein lines, to extend pulse durations beyond the inherent short nanosecond-scale outputs of standalone Marx systems, enabling tailored waveforms for specific loads. In these arrangements, the Marx charges the Blumlein transmission line, which then sharpens or lengthens the pulse; examples include dual Blumlein lines driven by a single Marx for bipolar pulse generation in material processing.^[47] Stage arrangements vary between linear and radial layouts to balance electrical performance and physical constraints. Linear configurations, common in traditional designs like the original 1924 prototype with 4 to 6 stages, stack components sequentially along a vertical or horizontal axis, which simplifies construction but can increase overall inductance and expose stages to higher crosstalk from electromagnetic interference between adjacent elements. Radial layouts, by contrast, arrange capacitors and spark gaps symmetrically around a central axis—such as at 60-degree intervals in a compact 400 kV design—reducing parasitic inductance and minimizing crosstalk through improved isolation and shorter interconnect paths.^[48]

Alternatives to Spark Gaps

Solid-state switching elements have emerged as viable alternatives to spark gaps in Marx generators, particularly for applications requiring lower stage voltages, precise timing, and repetitive operation. Avalanche transistors, such as bipolar junction transistors (BJTs) operating in avalanche mode, serve as self-triggering switches for stages below 500 V, where overvoltage induces breakdown without external triggers. These devices, often silicon-based, achieve switching times under 10 ns, enabling nanosecond pulses with rise times as low as 5.7 ns in multi-stage configurations. For instance, a design using avalanche BJTs in a 15-stage (3×5) Marx generator produced 4 kV pulses of 8.45 ns duration at repetition rates up to 50 kHz into a 50 Ω load.^[49] Transistor-based switches, including stacks of MOSFETs or IGBTs, provide controlled triggering for repetitive pulsing, often incorporating inductive snubbers to manage voltage transients and enable rates up to 1 kHz. In the 2020s, advancements in silicon carbide (SiC) MOSFETs have allowed solid-state Marx stages to handle voltages approaching 10 kV without spark gaps, by series-stacking devices rated at 1.7 kV each for modularity and reliability. A five-stage SiC MOSFET Marx generator, for example, delivered adjustable quasi-rectangular pulses up to 8.5 kV with 50 ns to 10 µs widths, rise times of ~8 ns (dv/dt > 125 kV/µs), and repetition rates to 25 kHz, demonstrating high efficiency near 100% theoretically. These configurations use fast recovery diodes to prevent through-current and switch breakdown, enhancing longevity over gas-based switches.^[50]^[51] Other alternatives include thyristors for high-current applications and laser-triggered plasma switches for ultra-fast response. Thyristors, such as small D2PAK types, replace spark gaps via impact-ionization triggering under overvoltage (≥6 kV for 3 kV-rated devices), supporting compact four-stage Marx generators with 11 kV output and slew rates exceeding 13 kV/ns. Laser-triggered plasma switches, which ionize gas via focused UV laser pulses, achieve sub-nanosecond response times (~2 ns rise) and low jitter (±1 ns overall), as demonstrated in a mini-Marx capable of 200 kV output to trigger multiple 100 kV gaps. These enable precise synchronization in coaxial designs without electrical trigger stages.^[52]^[36] Compared to spark gaps, these alternatives reduce electromagnetic noise and timing jitter (to sub-nanosecond levels), while supporting higher repetition rates and longer lifetimes through solid-state reliability. However, they face limitations in cost—due to specialized components like SiC devices—and voltage handling, typically capping at lower per-stage levels than gas switches without extensive stacking, which increases complexity.^[49]^[50]^[52]

Pulse Generation

Achieving Short Pulses

Generating sub-microsecond pulses in Marx generators requires precise synchronization of spark gap firing to ensure rapid voltage erection across stages. Staggered triggering techniques, often implemented using delay lines or optical fibers, align the discharge of successive gaps within 1-5 ns, minimizing jitter and enabling coherent pulse formation. For instance, fiber-optic control systems facilitate low-jitter synchronization. Erection jitter as low as 2.6 ns has been achieved in multi-stage configurations.^[53] Effective load integration is crucial to maintain pulse shortness by preventing reflections that could distort the waveform. Outputs are typically coupled to waveguides or transmission lines matched to the load impedance, ensuring maximum power transfer and reflection-free delivery. Compact Marx designs with capacitor-chopping circuits and solid-state switching have achieved sub-nanosecond pulses.^[54] Minimizing parasitic inductance is essential for reducing rise times to below 10 ns, as inductance slows the current buildup and lengthens the pulse front. Techniques include using twisted-pair wiring for interconnections to cancel magnetic fields and lower effective inductance, alongside vacuum or gas insulation to optimize spark gap breakdown speed and reduce connection lengths. These approaches have enabled rise times of 1 ns at 200 kV outputs in low-stray-inductance structures.^[55] A fundamental method for achieving short pulses is peer-to-peer coupling, where the discharge of an upstream spark gap induces firing in downstream gaps through capacitive voltage division. This self-triggering mechanism rapidly propagates the erection wave across stages, with capacitive coupling dominating the overvoltage process to ensure sub-nanosecond jitter in gap firing sequences.^[53]^[20]

Pulse Duration and Rise Time

The pulse duration of a Marx generator output is primarily determined by the discharge characteristics of the load capacitance and the deionization time of the spark gaps following conduction.^[56] Typical durations range from 30 ns to 500 ns, depending on the configuration and load conditions.^[21] These can be extended to the microsecond range by incorporating additional inductors, often in conjunction with pulse-forming networks, to control the energy transfer and prolong the discharge phase.^[57] The rise time of the generated pulse is influenced by the total circuit inductance L_\text{total} (typically 1–10 nH per stage) and load impedance Z_0 (commonly 50–100 \Omega), related through the circuit's characteristic impedance Z_0 = \sqrt{L_\text{total}/C_T} and oscillation period T_o = 2\pi \sqrt{L_\text{total} C_T}, where C_T is the equivalent capacitance. Optimized setups, such as those with minimized stray inductance, can achieve minimum rise times of approximately 1 ns.^[58]^[59] Several factors influence these temporal properties, including the number of stages, which extends the pulse duration due to the cumulative erection delay as spark gaps fire sequentially from the first to the last stage.^[60] For instance, in 1 m long coaxial tube designs, the shortest pulses can reach 30 ns, making them suitable for radar calibration applications requiring ultra-wideband signals.^[61] Recent advancements in solid-state Marx generators using GaN or SiC switches have enabled sub-nanosecond rise times and repetition rates up to 1 MHz for applications like high-power microwaves, as of 2024.^[62] These parameters are typically measured using high-bandwidth oscilloscopes, with rise time quantified as the 10%–90% transition interval from oscilloscope traces. A key trade-off exists between minimizing rise time for sharp pulses and achieving a flat-top voltage profile, as excessive inductance reduction can lead to ringing, which is undesirable for applications needing stable pulse shapes.^[63]

Applications

Scientific Research

Marx generators play a pivotal role in high-energy physics by powering large-scale facilities that investigate extreme conditions, such as those in inertial confinement fusion and high-energy density (HED) experiments. The Z Pulsed Power Facility at Sandia National Laboratories exemplifies this application, employing 36 Marx generators to store approximately 23 MJ of electrical energy and deliver peak currents of up to 22 MA to a z-pinch load, generating intense X-ray bursts for studying plasma physics and material responses under megabar pressures. Operational since its upgrade in 1996, the Z machine has enabled breakthroughs in fusion research by compressing targets to produce radiation temperatures exceeding 5 keV, simulating stellar interiors and nuclear weapon effects without nuclear testing.^[64] In atmospheric and plasma physics, Marx generators simulate lightning surges to study natural electrical discharges and their effects on materials and the environment. These devices replicate high-voltage impulses up to 2 MV, mimicking the rapid rise times (on the order of microseconds) and peak currents of lightning strokes, which facilitates investigations into plasma formation, electromagnetic pulse propagation, and X-ray emissions from leader channels. For instance, a 1 MV, 17-stage Marx generator has been used to produce laboratory sparks in air up to 1.4 m long, allowing researchers to analyze X-ray production and streamer propagation under controlled conditions akin to thunderclouds. Such simulations contribute to understanding global electric circuits and improving lightning protection models.^[65]^[66] Marx generators also drive bremsstrahlung radiation sources for scientific radiography, enabling non-destructive imaging of dense objects in HED experiments. By accelerating electrons to relativistic speeds and decelerating them against high-Z targets, these systems produce penetrating X-rays with spectra tunable to hundreds of keV, ideal for probing implosions and shock waves. Multi-stage configurations achieve pulse energies exceeding 1 MJ, as demonstrated in facilities like the Z machine, where integrated radiography diagnostics capture dynamic processes with sub-nanosecond temporal resolution and micron-scale spatial detail. This capability has been instrumental in validating hydrodynamic models for astrophysical phenomena.^[64]^[28] Recent advancements in the 2020s have integrated Marx generators with particle accelerators for beam manipulation in high-energy physics. At CERN, Marx-based topologies are under development for injection kicker systems in proposed facilities like the Future Circular Collider (FCC), where they provide fast, high-voltage pulses (up to several kV) for precise beam steering at energies of 3.3 TeV, enhancing luminosity and collision rates. Additionally, hybrid systems combining Marx generators with femtosecond lasers enable laser-triggered switching for sub-nanosecond jitter. These innovations, demonstrated in prototypes as early as 2014, promise improved reliability for next-generation colliders.^[67]^[68]^[38]

Industrial and Commercial Uses

Marx generators play a crucial role in the electrical power industry for insulation testing of transformers, cables, and other high-voltage equipment by simulating lightning surges. These devices generate standard lightning impulses with a 1.2/50 μs waveform, as specified in IEC 60060-1, to evaluate the withstand capability of insulation systems against transient overvoltages. Peak test voltages can reach up to 3 MV, ensuring compliance with international standards for equipment reliability and safety.^[69] Portable Marx generators, often compact and field-deployable, produce impulses up to 1200 kV, facilitating on-site testing without the need for large laboratory setups.^[70] In food processing, Marx generators facilitate pulsed electric field (PEF) treatments for non-thermal microbial inactivation in liquids such as juices and potato products, preserving nutritional quality while achieving effective sterilization. These systems deliver electric field strengths typically between 1 and 50 kV/cm through short, high-voltage pulses that induce electroporation in bacterial cell membranes. Studies from 2018 to 2025 demonstrate that PEF using Marx-generated pulses at around 100 kV can yield a 5-log reduction in bacteria like Escherichia coli, enabling pasteurization without significant heat exposure. For instance, solid-state Marx designs with 16 to 25 kV output have been optimized for repetitive operation at 1 kHz, supporting continuous flow processing in commercial settings.^[71]^[72] For medical and security applications, Marx generators power flash X-ray sources that produce ultra-short, high-intensity pulses for dynamic imaging, such as in ballistic testing or medical radiography. These compact systems, driven by wave-erection Marx circuits, enable radiographic visualization through dense materials like metal or smoke, with source sizes as small as 50-100 μm. Additionally, Marx generators generate non-thermal plasma for surface sterilization, creating reactive oxygen and nitrogen species that inactivate pathogens on medical devices and equipment. Developments in the COVID-19 era (2020-2022) accelerated the adoption of such plasma technologies for disinfecting personal protective equipment, with pulsed voltages up to 25 kV achieving rapid microbial kill rates without thermal damage.^[73] In semiconductor lithography, all-solid-state Marx-type pulse supplies drive excimer lasers, providing the high-voltage nanosecond pulses needed for precise UV light generation in chip fabrication. Compact Marx generators also support airport security scanners, integrating into portable X-ray systems for non-intrusive baggage and passenger screening with enhanced resolution and low radiation exposure.^[74]

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[27]
[PDF] SUPER MARX GENERATOR FOR THERMONUCLEAR IGNITION
According to Paschen's law, the breakdown voltage in gas between two plane parallel conductors is only a function of the product pd, where p is the gas ...
[28]
WL-Series Capacitors - CDE (en-US)
Metallized Polypropylene Film Energy Storage Capacitors for Low Pulse Duty. Quick Reference. Capacitance: 0.05 to 25,000 uF. Voltage (DC): 5000 to 100,000 Volts.Missing: dt | Show results with:dt
[29]
[PDF] MASTER - OSTI.GOV
This report describes the design and testing of a Marx generator that meets these requirements, the development and testing of a high-capacity spark gap, and ...
[30]
Generating High Voltage Pulses with Marx Generators
Feb 19, 2025 · When the voltage across the capacitors reaches the breakdown voltage of the spark gaps (i.e., discharge initiation), the spark gaps conduct ...
[31]
A 500 kV, 10 kA, 40 ns coaxial Marx generator pulser for cable fed ...
Oct 11, 2022 · The capacitors used in the Marx generator have a voltage rating of 50 kV. However, to increase the life of capacitors, it is required to operate ...<|separator|>
[32]
[PDF] Charging of Marx Generators
Sep 1, 1999 · During the Marx erection process these resistors load the capacitors, removing some charge. With the. Marx switches closed the symmetry of the ...Missing: MΩ | Show results with:MΩ
[33]
[PDF] MARX GENERATOR CHARGED VIA BIPERIODIC RESONANT ...
Nov 16, 2017 · Starting with Ohms law and Kirchhoff's voltage law we derive the corresponding eigenvector equation in terms of cell to cell coupling, cell ...
[34]
Influence of H62, H96 Brass Electrode Materials on Self-Breakdown ...
Oct 9, 2021 · Electrode erosion of gas spark gaps (GSGs) with Mo, WCu, and W main electrodes in current discharge was studied. Micrographs and erosion ...
[35]
[PDF] 300-kJ, 200-kA Marx Module for Antares - DTIC
This seems excessive, considering that the spark gaps are run with a safety factor M = 2, and that the electrodes feel very smooth after running at full energy.
[36]
[PDF] Compact, Mega-Volt, Rep-Rated Marx Generators
The entire assembly is housed inside a pressurized. (20 to 30 psig of SF6) gas vessel, eliminating the need for individual. Marx switch housings. Adjustment and ...
[37]
[PDF] development of a compact marx generator for - DTIC
Jun 29, 1997 · For operation at lower voltages the pressure in the vessel is reduced. The SF6 that insulates the Marx from the containment vessel also serves ...Missing: increase | Show results with:increase
[38]
[PDF] A LASER-TRIGGERED MINI-MARX FOR LOW-JITTER, HIGH ... - DTIC
This output discharge triggered a Veradyne 50082 mini-. Marx generator ... UV pre-ionization of the switch electrodes allows more reliable erection of the ...
[39]
High Voltage Experimenters Handbook | PDF | Ac Power - Scribd
used 4 stages, with capacitors of 0.22 µF and Siemens-Reiniger rectifiers ... Marx in 1924, Marx generators are probably the most common way of ...
[40]
(PDF) Compact 180-kV Marx generator triggered in atmospheric air ...
Aug 6, 2025 · PDF | We developed a compact Marx generator triggered ... Investigations of laser-induced plasma in air by Thomson and Rayleigh scattering.
[41]
Characterization and analysis of a pulse power system based on ...
Nov 27, 2007 · ... Marx generator and testing of Marx generator with Blumlein. ... Blumlein is terminated with a liquid resistor load made of copper sulfate.
[42]
(PDF) Development of a Repetitive Wave Erection Marx Generator
Aug 5, 2025 · A repetitive ten-stage wave erection Marx generator is developed to investigate the electrical characteristics of such compact devices and ...
[43]
A fully enclosed, compact standard lightning impulse generator for ...
The diameter and length of the Marx generator were <2.2 m and 8.0 m separately. By installing the Marx core in the SF6 or SF6/N2 gas mixture, the impulse ...
[44]
State-of-the-Art and Advancement Paths for Inductive Pulsed ... - MDPI
PIT MK V and MK Va Marx-generator coil configuration: (a) one complete Marx ... Independent fiber optic triggering of each module was found to be crucial.
[45]
[PDF] Marx generator design and performance - SciSpace
The Marx generator is a capacitive energy storage circuit which is charged to a given voltage level and then quickly discharged, delivering its energy quickly ...
[46]
A Mini-Marx Generator Powered by a Cockcroft–Walton Voltage ...
Jun 13, 2022 · The proposed CW powered mini-Marx generator is general and can be used as a compact pulsed voltage supply for some portable devices. Published ...
[47]
A reliable dual Blumlein device
Novel isolation, trigger, and trigger timing techniques are utilized in this device in order to allow two Blumleins to be charged by one Marx generator, and.
[48]
Compact 400 kV Marx generator with common switch housing
The spark gaps and capacitors are arranged radially at sixty degree intervals, and the latter are connected with simple banana plugs to provide easy removal.
[49]
https://doi.org/10.3390/app12199800
[50]
https://doi.org/10.3390/en14123492
[51]
Solid State Spark Gap Replacement Switches | Semantic Scholar
Improvements in solid state high voltage switching technology now makes it feasible to replace triggered spark gap switches, used in many medical and ...
[52]
https://doi.org/10.3390/app15063289
[53]
Diagnosing high-reliability, low .. jitter Marx generators
Erection time jitter has been measured as low as 2.6 ns for a 3.2-MV, 16-stage PBFA-I Marx generator. ... ing that capacitive coupling dominates triggering of the.
[54]
A 100 kV, 20 A, 1 ms long pulse solid-state Marx modulator for klystron
A microcontroller based control unit is used for the programmed staggered triggering of all the main modules and corrector modules. Fiber optic based control ...
[55]
Impedance-matched Marx generators | Phys. Rev. Accel. Beams
Apr 7, 2017 · We have conceived a new class of prime-power sources for pulsed-power accelerators: impedance-matched Marx generators (IMGs).
[56]
Marx generator on the basis of long lines for electron accelerators ...
To eliminate reflections, each of the lines is provided with a matched load. Connection of both the stages in series and matched loads to the stages is made by ...
[57]
Comparative Analysis of High-Voltage High-Frequency Pulse ...
This paper presents a comprehensive comparative analysis of high-voltage, high-frequency pulse generation techniques for Pockels cell drivers.
[58]
https://www.sciencedirect.com/science/article/pii/S2314717216300897
[59]
(PDF) Pulsed Corona Discharge Generated By Marx Generator
... Marx generator presented in this work. In 1923, Erwin Marx patented ... deionization processes on the output parameters of the model (output voltage ...
[60]
Development of a high-power pulse-forming network Marx generator ...
The output pulse features a plateau duration of 160 ns and a leading edge of 45 ns. In burst mode, it can steadily output ten pulses of 450 kV at a repetition ...
[61]
Modeling and system improvements for a fast rise time Marx generator
The total inductance LT of a Marx Generator can be expressed as(6) L T = internal inductance of all the capacitors ( L C ) ( with respect to the return path ) + ...
[62]
https://doi.org/10.1109/TPS.2024.3429138
[63]
A PFN Marx generator based on high-voltage transmission lines
The generator construction is described and the performance is evaluated in terms of the risetime, erection time, jitter in the erection time and output-voltage ...
[64]
[PDF] High Voltage Pulse Generators Developed in the University of Pau ...
The complete generator can be suitable for UWB radar applications provided that the output pulses reproducibility obtained is good (±5% or less). The coaxial ...
[65]
[PDF] Development and Test of Pulse-Forming Network Marx Generator ...
Paschen's Law. Under most circumstances, gas breakdown is a product of pressure and gap distance. This relationship is known as the Paschen Law. VVBB ...
[66]
Review of pulsed power-driven high energy density physics ...
Jul 8, 2020 · Z operates by storing energy in a ring of Marx-generator capacitor banks around its perimeter, as illustrated in Fig. 1. Each of the 36 Marx ...
[67]
Pulse generator with intermediate inductive storage as a lightning ...
Jun 27, 2016 · A Marx generator (six stages) with a capacitance of 1 μF and an output voltage of 240 kV was employed as primary storage. In each of the stages, ...<|control11|><|separator|>
[68]
A study of X‐ray emission from laboratory sparks in air at ...
Dec 9, 2008 · We studied 231 sparks of both polarities using a 1-MV Marx generator with gap lengths ranging from 10 to 140 cm. The X rays generated by the ...
[69]
Future circular collider injection and extraction kicker topologies and ...
Jul 2, 2019 · The relatively short current pulse duration, ∼ 2.4 μ s , is compatible with either an inductive adder (IA) type generator or a Marx generator ...
[70]
[PDF] Marx prototype pulse generator design and initial results
Apr 11, 2018 · The circuit operates by (1) charging capacitors in parallel, then subsequently connecting them in series to generate a high-voltage output pulse ...