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The Cockcroft–Walton (CW) generator, or multiplier, is an
electric circuit An electrical network is an interconnection of electrical components (e.g., batteries, resistors, inductors, capacitors, switches, transistors) or a model of such an interconnection, consisting of electrical elements (e.g., voltage sources, ...
that generates a high DC
voltage Voltage, also known as electric pressure, electric tension, or (electric) potential difference, is the difference in electric potential between two points. In a static electric field, it corresponds to the work needed per unit of charge to ...
from a low-voltage AC or pulsing DC input. It was named after the British and Irish physicists John Douglas Cockcroft and
Ernest Thomas Sinton Walton Ernest Thomas Sinton Walton (6 October 1903 – 25 June 1995) was an Irish physicist and Nobel laureate. He is best known for his work with John Cockcroft to construct one of the earliest types of particle accelerator, the Cockcroft–Walton ...
, who in 1932 used this circuit design to power their
particle accelerator A particle accelerator is a machine that uses electromagnetic fields to propel charged particles to very high speeds and energies, and to contain them in well-defined beams. Large accelerators are used for fundamental research in particle ...
, performing the first artificial nuclear disintegration in history. They used this voltage multiplier cascade for most of their research, which in 1951 won them the
Nobel Prize in Physics ) , image = Nobel Prize.png , alt = A golden medallion with an embossed image of a bearded man facing left in profile. To the left of the man is the text "ALFR•" then "NOBEL", and on the right, the text (smaller) "NAT•" then " ...
for " Transmutation of atomic nuclei by artificially accelerated atomic particles". The circuit was discovered in 1919, by Heinrich Greinacher, a Swiss
physicist A physicist is a scientist who specializes in the field of physics, which encompasses the interactions of matter and energy at all length and time scales in the physical universe. Physicists generally are interested in the root or ultimate cau ...
. For this reason, this doubler cascade is sometimes also referred to as the Greinacher multiplier. Cockcroft–Walton circuits are still used in particle accelerators. They also are used in everyday electronic devices that require high voltages, such as
X-ray machine An X-ray machine is any machine that involves X-rays. It may consist of an X-ray generator and an X-ray detector. Examples include: *Machines for medical projectional radiography *Machines for computed tomography *Backscatter X-ray machines, used ...
s,
microwave oven A microwave oven (commonly referred to as a microwave) is an electric oven that heats and cooks food by exposing it to electromagnetic radiation in the microwave frequency range. This induces polar molecules in the food to rotate and produce ...
s and
photocopier A photocopier (also called copier or copy machine, and formerly Xerox machine, the generic trademark) is a machine that makes copies of documents and other visual images onto paper or plastic film quickly and cheaply. Most modern photocopiers ...
s.


Operation

The CW generator is a voltage multiplier that converts AC or pulsing DC electrical power from a low
voltage Voltage, also known as electric pressure, electric tension, or (electric) potential difference, is the difference in electric potential between two points. In a static electric field, it corresponds to the work needed per unit of charge to ...
level to a higher DC voltage level. It is made up of a voltage multiplier ladder network of
capacitor A capacitor is a device that stores electrical energy in an electric field by virtue of accumulating electric charges on two close surfaces insulated from each other. It is a passive electronic component with two terminals. The effect of ...
s and diodes to generate high voltages. Unlike
transformer A transformer is a passive component that transfers electrical energy from one electrical circuit to another circuit, or multiple circuits. A varying current in any coil of the transformer produces a varying magnetic flux in the transformer' ...
s, this method eliminates the requirement for the heavy core and the bulk of insulation/potting required. Using only capacitors and diodes, these voltage multipliers can step up relatively low voltages to extremely high values, while at the same time being far lighter and cheaper than transformers. The biggest advantage of such circuits is that the
voltage Voltage, also known as electric pressure, electric tension, or (electric) potential difference, is the difference in electric potential between two points. In a static electric field, it corresponds to the work needed per unit of charge to ...
across each stage of the cascade is equal to only twice the peak input voltage in a half-wave rectifier. In a full-wave rectifier it is three times the input voltage. It has the advantage of requiring relatively low-cost components and being easy to insulate. One can also tap the output from any stage, like in a multitapped transformer. To understand the circuit operation, see the diagram of the two-stage version at right. Assume the circuit is powered by an alternating voltage ''V''i with a peak value of ''V''p, and initially the capacitors are uncharged. After the input voltage is turned on *When the input voltage ''V''i reaches its negative peak −''V''p, current flows through diode ''D1'' to charge capacitor ''C1'' to a voltage of ''V''p. *When ''V''i reverses polarity and reaches its positive peak +''V''p, it adds to the capacitor's voltage to produce a voltage of 2''V''p on ''C1''s righthand plate. Since ''D1'' is reverse-biased, current flows from ''C1'' through diode ''D2'', charging capacitor ''C2'' to a voltage of 2''V''p. *When ''V''i reverses polarity again, current from ''C2'' flows through diode ''D3'', charging capacitor ''C3'' also to a voltage of 2''V''p. *When ''V''i reverses polarity again, current from ''C3'' flows through diode ''D4'', charging capacitor ''C4'' also to a voltage of 2''V''p. With each change in input polarity, current flows up the "stack" of capacitors through the diodes, until they are all charged. All the capacitors are charged to a voltage of 2''V''p, except for ''C1'', which is charged to ''V''p. The key to the voltage multiplication is that while the capacitors are charged in parallel, they are connected to the load in series. Since ''C2'' and ''C4'' are in series between the output and ground, the total output voltage (under no-load conditions) is ''V''o = 4''V''p. This circuit can be extended to any number of stages. The no-load output voltage is twice the peak input voltage multiplied by the number of stages ''N'' or equivalently the
peak-to-peak The amplitude of a periodic variable is a measure of its change in a single period (such as time or spatial period). The amplitude of a non-periodic signal is its magnitude compared with a reference value. There are various definitions of ampl ...
input voltage swing (''V''pp) times the number of stages :V_o = 2NV_p = NV_\text, The number of stages is equal to the number of capacitors in series between the output and ground. One way to look at the circuit is that it functions as a charge "pump", pumping electric charge in one direction, up the stack of capacitors. The CW circuit, along with other similar capacitor circuits, is often called
charge pump A charge pump is a kind of DC-to-DC converter that uses capacitors for energetic charge storage to raise or lower voltage. Charge-pump circuits are capable of high efficiencies, sometimes as high as 90–95%, while being electrically simple c ...
. For substantial loads, the charge on the capacitors is partially depleted, and the output voltage drops according to the output current divided by the capacitance.


Characteristics

In practice, the CW has a number of drawbacks. As the number of stages is increased, the voltages of the higher stages begin to "sag", primarily due to the
electrical impedance In electrical engineering, impedance is the opposition to alternating current presented by the combined effect of resistance and reactance in a circuit. Quantitatively, the impedance of a two-terminal circuit element is the ratio of the com ...
of the capacitors in the lower stages. And, when supplying an output current, the voltage ripple rapidly increases as the number of stages is increased (this can be corrected with an output filter, but it requires a stack of capacitors in order to withstand the high voltages involved). For these reasons, CW multipliers with large number of stages are used only where relatively low output current is required. The sag can be reduced by increasing the capacitance in the lower stages, and the ripple can be reduced by increasing the frequency of the input and by using a square waveform. By driving the CW from a high-frequency source, such as an
inverter A power inverter, inverter or invertor is a power electronic device or circuitry that changes direct current (DC) to alternating current (AC). The resulting AC frequency obtained depends on the particular device employed. Inverters do the opp ...
, or a combination of an inverter and HV transformer, the overall physical size and weight of the CW power supply can be substantially reduced. CW multipliers are typically used to develop higher voltages for relatively low-current applications, such as bias voltages ranging from tens or hundreds of volts to millions of volts for high-energy physics experiments or
lightning Lightning is a naturally occurring electrostatic discharge during which two electrically charged regions, both in the atmosphere or with one on the ground, temporarily neutralize themselves, causing the instantaneous release of an avera ...
safety testing. CW multipliers are also found, with a higher number of stages, in
laser A laser is a device that emits light through a process of optical amplification based on the stimulated emission of electromagnetic radiation. The word "laser" is an acronym for "light amplification by stimulated emission of radiation". The fi ...
systems, high-voltage power supplies,
X-ray An X-ray, or, much less commonly, X-radiation, is a penetrating form of high-energy electromagnetic radiation. Most X-rays have a wavelength ranging from 10  picometers to 10  nanometers, corresponding to frequencies in the range 30&nb ...
systems, LCD
backlight A backlight is a form of illumination used in liquid crystal displays (LCDs). As LCDs do not produce light by themselves—unlike, for example, cathode ray tube (CRT), plasma (PDP) or OLED displays—they need illumination ( ambient light or a ...
ing,
traveling-wave tube A traveling-wave tube (TWT, pronounced "twit") or traveling-wave tube amplifier (TWTA, pronounced "tweeta") is a specialized vacuum tube that is used in electronics to amplify radio frequency (RF) signals in the microwave range. The TWT belongs t ...
amplifiers, ion pumps,
electrostatic Electrostatics is a branch of physics that studies electric charges at rest ( static electricity). Since classical times, it has been known that some materials, such as amber, attract lightweight particles after rubbing. The Greek word for amb ...
systems, air ionisers,
particle accelerator A particle accelerator is a machine that uses electromagnetic fields to propel charged particles to very high speeds and energies, and to contain them in well-defined beams. Large accelerators are used for fundamental research in particle ...
s, copy machines, scientific instrumentation, oscilloscopes, television sets and cathode-ray tubes,
electroshock weapon An electroshock weapon is a less-lethal weapon that utilizes an electric shock to incapacitate a target by either temporarily disrupting voluntary muscle control and/or through pain compliance. There are several different types of electroshock w ...
s,
bug zapper A bug zapper, more formally called an electrical discharge insect control system, electric insect killer or (insect) electrocutor trap, is a device that attracts and kills flying insects that are attracted by light. A light source attracts insect ...
s and many other applications that use high-voltage DC.


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See also

A similar circuit is the Marx generator, which has a similar "ladder" structure, but consists of resistors, capacitors and spark gaps. The Marx generator produces short pulses, whereas the CW generator produces a constant DC.


Notes


Further reading


J. D. Cockcroft and E. T. S. Walton, ''Experiments with High Velocity Positive Ions.(I) Further Developments in the Method of Obtaining High Velocity Positive Ions,'' Proceedings of the Royal Society A, vol. 136, pp. 619–630, 1932.J. D. Cockcroft and E. T. S. Walton, ''Experiments with High Velocity Positive Ions. II. The Disintegration of Elements by High Velocity Protons,'' Proceedings of the Royal Society A, vol. 137, pp. 229–242, 1932.


External links

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