Abstract: A shunt regulated permanent magnet alternator voltage source includes a permanent magnet alternator, a shunt regulator, and a pulse width modulation controller. Also included is a load controller capable of detecting a PMA margin.

Abstract: An encoder having a function for detecting noise which may affect an internal signal of the encoder, without using a noise detecting circuit within the encoder, whereby the cost and size thereof may be reduced. The encoder has a detecting part adapted to detect the movement of an electric motor or a driven object; a signal processing circuit adapted to process a detection signal from the detecting part and obtain positional data of the motor or the object; and a transmitting part adapted to transmit the positional data from the signal processing circuit at regular time intervals and a fluctuation component calculated on the basis of the positional data, to external equipment. The signal processing circuit has a fluctuation component detecting circuit adapted to detect a fluctuation comment included in the calculated positional data, and the detected fluctuation component is transmitted to the external controller as an amount of noise.

Abstract: A method of homing motion axes in a radiation system uses a motor and one or more hardstops. A load is driven by a motor to move toward a hardstop during which an electrical parameter of the motor is monitored. A reference position for the motion axis is defined when the monitored electrical parameter reaches or exceeds a determined value. Alternative to monitoring the motor electrical parameter, the motor velocity may be monitored during the motion and a reference position for the motion axis is defined when the monitored motor velocity falls to or below a determined value. Alternatively, the load velocity may be monitored during the motion and a reference position for the motion axis is defined when the monitored load velocity falls to or below a determined value.

Abstract: An exemplary stage apparatus has a motor, stage, and position-measuring device. The motor has a planar stator and moving-coil mover (planar motor). The stator is a checkerboard magnet array extending in an x-y plane and producing a magnetic field having a field period of 2? in a u-v coordinate system rotated 45° from the x-y coordinate system of the plane. The stage, coupled to the mover, moves with corresponding motions of the mover relative to the stator. The position-measurement device includes a first group of four magnetic-field sensors that are movable with the stage. The sensors are situated at integer multiples of ?/2 from each other in u- and v-directions of the u-v coordinate system. The sensors produce respective data regarding a respective component of the magnetic field at, and hence the position of, the respective sensor within the period of the magnetic field.

Abstract: A charge apparatus including a natural energy conversion module, an energy converter, an energy transmitter, and an energy receiver is provided. The natural energy conversion module receives a natural energy and converts the natural energy into a first electric energy. The energy converter is electrically connected to the natural energy conversion module and converts the first electric energy into a wireless energy. The energy transmitter is electrically connected to the energy converter and transmits the wireless energy in a wireless manner. The energy receiver receives the wireless energy in a wireless manner and converts the wireless energy into a second electric energy.

Abstract: Charging apparatus 10 includes secondary battery 13 used for buffering, rectifier 11 that supplies direct current power to secondary battery 13 used for buffering, DC-DC converter 14 connected to driving battery 3 in electric vehicle 2 via charging cable 4, switching control circuit 12, and isothermal wind generator 16 that adjusts the temperature of secondary battery 13 used for buffering from outside of secondary battery 13 used for buffering. Switching control circuit 12 switches charging apparatus 10 between a first mode in which power supplied by rectifier 11 is accumulated in secondary battery 13 used for buffering and a second mode in which driving battery 3 is charged with the power supplied by secondary battery 13 used for buffering. Secondary battery 13 used for buffering includes at least one cell in which a battery element with a positive electrode plate and a negative electrode plate that are laminated therein is sealed with an outer cover film.

Abstract: A multiple stage battery system has significantly improved battery life in hybrid and electric motorized vehicle. At least two segments of battery packs are charged and discharged with two different battery management strategies, one handles transient energy needs and the other copes with cruise energy needs. The primary segment of battery are charged and discharged within a controlled State of Charge (SOC) range at a set point, it stores relatively less energy but supplies relative high impulse current during charge and discharge. The secondary segments have larger energy capacity, and are charged and discharged at constant current mode in deep cycling, near complete full charge and full discharge. These two segments of batteries could be different type of chemistry, i.e. NiMH, NiCD and Li-ion. This results in longer overall battery life and higher usable capacity for high power battery operations.

Abstract: A battery voltage monitoring device for efficiently equalizing cell voltages of a plurality of battery cells connected in series through a direct charge transfer between mutually distant battery cells. The device includes a charge-transfer circuit configured to perform a direct charge transfer from a first battery cell to a second battery cell that is fifth or higher adjacent to the first battery cell. This can eliminate charge-transfer losses that would occur during sequential charge transfers between adjacent battery cells, which leads to an efficient charge transfer between mutually distant battery cells.

Abstract: A simplified control scheme is presented for use in a power tool. The power tool may be comprised of two or more lithium-ion battery cells connected in series and operable to drive the motor in the tool. A charging circuit is configured to receive a charging current from an AC adapter and to supply the charging current to the battery cells. A microcontroller monitors the voltage of the battery cells and terminates charging of the battery cells in accordance with the monitored voltages of the battery cells. The microcontroller does not receive power from the battery cells but is only powered by the AC adapter. Of note, each of the battery cells preferably employs an electrolyte composition comprised of a redox shuttle material. In combination with other tool components, the use of the redox shuttle material reduces or eliminates the need for expensive charge and discharge controls, thereby reducing the cost of the tool.

Abstract: Disclosed is a battery charger including a battery cell, a reference voltage generating section, an A/D converting section including an A/D converter and a control section. The reference voltage generating section includes a first reference voltage circuit generating a first reference voltage and a second reference voltage circuit generating a second reference voltage equal to the first reference voltage. To diagnose the A/D converter, the first reference voltage circuit is used. To diagnose the first reference voltage circuit, a second A/D conversion value obtained by A/D converting a second divided voltage of the second reference voltage via the A/D converter using the first reference voltage is compared with a first reference value obtained by A/D converting a first divided voltage of the first reference voltage via the A/D converter using the first reference voltage when the first reference voltage circuit is normal.

Abstract: A charging station for portable electronic devices includes a base having a substantially vertical and forward facing wall and at least one suction cup secured to the wall to temporarily secure the portable electronic devices to the wall in a position that the portable electronic devices can be viewed and operated while recharging. When more than one suction cup is provided they can be secured in laterally spaced-apart positions so that multiple portable electronic devices can be secured side-by-side for recharging or more than one suction cup can secure a portable electronic device. The suction cups can also be secured in vertically spaced apart positions so that the suction cup can engage the portable electronic device at a desired height or so that more than one suction cup can secure the portable electronic device. The charging station can also organize mail, keys, wallets, and the like.

Abstract: A power control device for a vehicle includes a first battery, a second battery, the voltage of which is lower than the voltage of the first battery, and a transformer. The transformer includes a primary coil, to which an alternating-current power source is connected, a first secondary coil, to which the first battery is connected, and at least one second secondary coil, to which the second battery is connected. A rectification circuit is located between the second secondary coil and the second battery. A voltage adjustment circuit is located between the rectification circuit and the second battery. A control section charges the first battery using the alternating current power source, and, simultaneously supplies electrical power to the second battery.

Abstract: A method is described for communication with an electric vehicle, comprising a generating of a first predetermined DC voltage level on a pilot conductor, a recognition of the existence of an electrical connection to an electric vehicle by means of the detection of a second predetermined DC voltage level on the pilot conductor, a sending out of a trigger signal on the pilot conductor, a detection of a vehicle identification signal on the pilot conductor and an approval of the electricity supply on a power conductor.

Abstract: A charging station for portable electronic devices includes a base having a substantially vertical and forward facing wall and a plurality of suction cups secured to the wall to temporarily secure the portable electronic devices to the wall in a position that the portable electronic devices can be viewed and operated while recharging. The suction cups can be secured in a plurality of laterally spaced-apart positions so that multiple portable electronic devices can be secured side-by-side for recharging or more than one suction cup can secure a larger portable electronic device. The suction cups can also be secured in a plurality of vertically spaced apart positions so that the suction cup can engage the portable electronic device at a selected height or so that more than one suction cup can secure the portable electronic device. The charging station also organizes mail, keys, wallets, and the like.

Abstract: [Object] There is provided series-connected rechargeable cells in which a large number of cells are series-connected and that makes it possible to improve performance on operations such as assembly or exchange and to perform speedy and smooth voltage-balance correcting for all cells. [Means for Solution] Series-connected rechargeable cells includes: a large number of rechargeable cells that are series-connected, and that are divided into a plurality of series-connected cell groups placed continuously in order of connecting; and a voltage-balance correcting circuit that balances the voltages of the cells, and that is provided with an inter-cell voltage-balance correcting circuit that performs voltage-balance correcting between adjacent cells in each of the cell groups and an inter-group voltage-balance correcting circuit that performs balance correcting of series-connection voltages of the cell groups by AC-coupling formed with a transformer coil and a switching circuit.

Abstract: A battery balancing system includes at least one sub-stack, each sub-stack comprising a plurality of cells connected in series. The system also includes a balancing module for each sub-stack comprising an independent bidirectional balancer for each cell in the sub-stack. The system includes a daisy chained stackable serial port. The balancing system senses a state of charge (SOC) of each cell in each sub-stack. The average SOC of the sub-stack is determined. For a weak cell, additional charge is provided from its respective sub-stack during the discharging of the battery. For a strong cell, additional charge is removed and provided to its respective sub-stack during discharging of the battery. Any number of sub-stacks can be stacked in series while maintaining the same serial control, allowing a theoretically unlimited number of cells to be supported from a single communication port without the need for additional digital isolators.

Abstract: Disclosed herein is an efficient and high capacity electrical energy storage device consisting of diaphragm-less anode and cathode cells charging and discharging an electrolyte containing suitable ions that store electrical energy during the charging cycle and release the electrical energy during the discharge cycle. The charge-discharge reactions are reversible so that the efficiency does not reduce with the number of cycles and efficiency is maintained until the last of the charged electrolyte passes through the cells.

Abstract: The invention provides a compact and highly reliable electronic apparatus that can be driven by a small-capacity battery, and that can achieve high-speed continuous driving of a load by quickly judging the recovery state of the battery after driving the load. More particularly, the invention provides an electronic apparatus includes a power supply, a load, a load driver for driving the load by the power supply, a power supply state detecter for outputting power supply recovery information by measuring physical quantity of the power supply at predetermined intervals of time after the driving of the load is stopped, and a controller for instructing the load driver to drive the load, based on the power supply recovery information supplied from the power supply state detecter.

Abstract: Apparatus and method for battery calibration and state of charge determination (SoC) within battery packs by detecting charge levels in a cell or cells, sending the charge level information to a controller which controls the movement of charge in the battery wherein, the controller initiates the discharge of a sub-unit to a predetermined level into the other sub-units and the charging of said sub-unit in the battery to a predetermined level from the charge held on the other sub-units to improve the accuracy and reliability of battery calibration and provide an accurate State of Charge indication from battery first use to end of life.

Abstract: A method and system for optimizing the behavior of a charger connected to a portable device when the portable device current exceeds the charger current limit. The system includes a configuration module configured to set a maximum current limit and a register-based current limit values. The system further includes a port power switch configured to limit the portable device current, in the event that the portable device current exceeds the maximum current limit value. The port power switch is configures to modify the portable device current to a predetermined constant current value or reset the current to zero based on the relation between the maximum current limit and the register-based current limit value.

Abstract: This invention relates to a method of controlling torque oscillations in a mechanical drive train of an electrical generation system which provides electrical power to an isolated electrical network, the method including the steps of: a. monitoring for changes in the electrical condition of the electrical network; b. determining whether a change in the electrical condition of the network falls within a predetermined range; c. adjusting the power in the network using an auxiliary power source when the electrical condition of the network falls within the predetermined range so as reduce or substantially prevent the build up of torque oscillations in the mechanical drive train.

Abstract: A device for detecting a change in a generator output signal of a vehicle generator includes a window comparator for comparing a signal amplitude of the generator output signal to at least one threshold value which limits a signal amplitude range, a detector for detecting a change in the generator output signal based on an output signal of the window comparator, a detection unit for detecting a signal amplitude difference between a maximum signal amplitude and a minimum signal amplitude of the generator output signal, and an adaptation unit for adapting the signal amplitude range of the window comparator, based on the signal amplitude difference, when there is the change in the generator output signal.

Abstract: A power generation system includes a generator mechanically coupled to a turbine to generate electrical power. The system includes a fault ride through system having a variable resistor and a variable inductor. The variable resistor is connected in parallel across output terminals of the generator to absorb power from the generator during a grid fault condition, and the variable inductor is connected between an output terminal of the generator and a power grid.

Abstract: A direct current (DC)-to-DC conversion apparatus is provided. The provided DC-to-DC conversion apparatus is composed of two boost circuits, in which inputs of both boost circuits are connected in parallel, and outputs of both boost circuits are connected in series. Accordingly, when the provided DC-to-DC conversion apparatus is operated, the DC input power would be firstly sampled and determined, and then the operations of the first and the second switch devices disposed therein would be controlled in response to the sampled-determined result, such that both boost circuits would be respectively operated in different input conditions, for example, the input is normally-connected or the input is reverse-connected. Accordingly, regardless of the input of normal connection or the input of reverse connection, the provided DC-to-DC conversion apparatus can perform the function of DC-to-DC conversion, thereby enabling the applied product to be normally operated even the input is reverse-connected.

Abstract: The invention relates to an electrical power tool, particularly an electric hand power tool, for operating with alternating current, having an electric motor, and electronic control device, and an electrical power switch for actuating the electric motor, wherein the electronic control device comprises a bias voltage output and a detection input, connected to each other by means of a voltage divider comprising a summation point and to the side of the power switch facing the electric motor, and the control device is further designed such that the potential at the detection input is monitored after actuating the power switch and used for checking whether the power switch is conducting, and that it is actuated again if the power switch was not conducting or returned to the non-conducting state during the monitoring, and that said checking and any renewed actuation of the power switch is repeated within a half-wave of the alternating voltage.

Abstract: A power source capable of supplying power to operate electronics of a system is disclosed. In one example, the power source takes advantage of an electrical potential difference between primary and secondary grounds. The power source can reduce system cost and power consumption.

Abstract: The invention relates to power supplies where the output current is controllable. In prior art, there is a problem to provide both high rate of change in the current output and high efficiency. The solution of the present invention is based on combining current elements, whereby the current is controlled by switching the outputs of the current elements. The current elements can be implemented with e.g. buck converters, whereby the power dissipation is small.

Abstract: The present invention relates to a low dropout regulator, and more particularly to a low dropout regulator without load capacitor and ESR (equivalent series resistance) designed in response to the discharge curve of a Li-ion battery, includes an input terminal, a reference circuit, a power transfer element, a level regulating device, a regulating circuit, and a first N-type MOSFET. The regulating circuit detects a load change at an output terminal, amplifies the load change, and couples it to the level regulating device. The level regulating device receives and boosts a received signal and transmits the received signal to the power transfer element, so as to achieve the effect of controlling the power of a power supply.

Abstract: A low dropout (LDO) voltage regulator includes a scaling amplifier for receiving a bandgap voltage, Vbg, and outputting a scaled Vbg. A reference MOSFET device is included for reducing the scaled Vbg by a first voltage Vgs formed across gate and source nodes of the reference MOSFET device. This forms a reduced level of the scaled Vbg. An RC network filters the reduced level of the scaled Vbg and outputs a filtered voltage. An output buffer is included for receiving and increasing the filtered voltage by a second voltage Vgs in order to recover the scaled Vbg. The scaled Vbg is used as the desired regulated voltage output. The second voltage Vgs, which is produced by the output buffer, is equal to the first voltage Vgs, which is produced by the reference MOSFET device.

Abstract: An intelligent pulse width modulation (PWM) controller adapts a switch mode power supply (SMPS) system's operating parameters to optimize efficiency, remove hot spots and isolate faults by integrating a microcontroller, PWM digital circuits and analog circuits into a single integrated circuit, e.g., a mixed signal device, thereby reducing the number of external connections, silicon die area and integrated circuit packages. A lossless inductor current sense technique integrates a matched, tunable complimentary filter with the intelligent SMPS controller for accurately measuring current through the power inductor of the SMPS without introducing losses in the power circuit. The complimentary filter is adjusted by the microcontroller to significantly reduce the effects of component tolerances, accurately measuring the power inductor current for precise closed loop control and over current protection.

Abstract: A switching regulator can convert an input voltage to a desired output voltage by ON-OFF controlling switching elements with PWM signals. The switching regulator can include a communication interface circuit that receives external operation instructions, an output voltage setting section that changes an output voltage to an output voltage setting value upon receiving an output voltage changing instruction from the outside, a voltage divider and an ADC that converts an error voltage into a digital error signal e[n], the error voltage being a difference between a reference voltage Vref and a detected output voltage value Vfb. The switching regulator can also include a controller that includes an operation control section for calculating a duty factor signal d[n] to determine an ON time proportion of the switching elements and an output voltage changing control section for controlling operation to change the output voltage.

Abstract: A power converter and method of controlling the same for selected modes of operation. In one embodiment, the power converter includes a first power switch coupled to a source of electrical power and a second power switch coupled to the first power switch and to an output terminal of the power converter. The power converter also includes a controller configured to control an operation of the first and second power switches during selected modes of operation.

Abstract: A buck-boost power converter switches the switches thereof with a novel sequence and extends the switching periods of the switches to reduce the switching loss and conduction loss when the input voltage thereof approaches the output voltage thereof. The influence of the load current of the power converter on the duty thereof is taken into account to switch the power converter between modes at correct time points, so as to prevent the output voltage from being affected by the mode switching.

Abstract: An embodiment of a current measuring device, defined by a gain, including an amplification module including an input for receiving a control signal, an input connected to an output node, brought to an output potential and traversed by an output current, a feedback node traversed by a mirror current associated with the output current by a proportionality coefficient equal to the gain, and an output traversed by the mirror current, and capable of bringing the feedback node to the output potential in response to the control signal. The measuring device also includes a gain modification module, mounted between the first potential and the feedback node, including at least one input for receiving an activation signal, and capable of modifying the value of the gain in response to an activation signal.

Abstract: A controller operates a power supply in a discontinuous mode. While in the discontinuous mode, a monitor resource in the controller monitors current supplied by an inductor resource in the power supply to produce an output voltage to power a load. An adjustment value generator produces an adjustment value based on a magnitude of the current supplied to the load by the inductor resource. According to one configuration, the adjustment value equals the average inductor current multiplied by the load-line resistance value of the power supply. The controller produces an adjusted trigger threshold value by reducing a trigger threshold value by the adjustment value generated by the adjustment value generator. The adjusted trigger threshold value specifies a reduced threshold voltage at which the power supply controller turns ON a control switch in the power supply to increase an amount of current supplied by the inductor resource to the load.

Abstract: Provided is a switching regulator including a circuit for detecting a short-circuit state easily and reliably, without the need of an adjustment step such as trimming. In accordance with a drive signal of a power switching element of the switching regulator, a discharge circuit is controlled. When the power switching element is short-circuited and becomes the ON state all the time, the discharge circuit stops its operation, and a capacitor is continuously charged. A voltage detection circuit detects that a charge voltage of the capacitor has reached a predetermined potential, to thereby detect the short-circuit state.

Abstract: A smart link in a power delivery system includes an insulator, which electrically isolates a power line, and a switchable conductance placed in parallel with the insulator. The switchable conductance includes switchgear for sourcing, sinking, and/or dispatching real and/or reactive power on the power line to dynamically in response to dynamic loading, transient voltages and/or currents, and phase conditions or other conditions on the power line.

Abstract: Calibrating test equipment may include: aligning timing of a first group of channels in the test equipment; aligning timing of a second group of channels in the test equipment, with the second group of channels being different from the first group of channels; determining a misalignment in timing between a first channel and a second channel, with the first channel being from the first group of channels, and the second channel being from the second group of channels; and compensating, for the misalignment, channels in at least one of the first group or the second group.

Abstract: The present invention relates to a Faraday sensor assembly comprising a first light guiding element adapted to guide electromagnetic radiation along a first propagation direction, and a second light guiding element adapted to guide electromagnetic radiation along a second propagation direction, the second propagation direction being essentially oppositely arranged relative to the first propagation direction. The Faraday sensor assembly further comprises a measurement region arranged between the first and second light guiding elements, the measurement region being adapted to receive an electrically conducting element having, in the measurement region, its primary extension direction in a direction being essentially perpendicular to the first and second propagation directions. The present invention further relates to methods and systems for stabilizing output signal from the sensors, and to methods and systems for processing signals from the sensor assembly.

Abstract: The size of a status indicator for monitoring a current in a power cable is reduced by integrating a bobbin for the secondary winding with a current transformer core and integrating a circuit board including output terminals with a current transformer assembly.

Abstract: A position sensing head combines a sensing element and a simplified electronic module to enable operation with one wire, in addition to a circuit common, for providing power and transmitting a signal, while separating the sensing head from signal conditioning circuits by over 10 meters. The simplicity of the electronic module allows the use of basic electronic components that operate at more than 225° C. The signal is a variable frequency impressed onto the one wire, which can be read by a frequency meter. Another signal, such as a position or temperature, can be impressed onto the one wire at the same time as the first signal. The second signal is of a different frequency range so that it will not interfere with the first. A demodulator circuit can separate the two signals. The sensing element construction allows for locating up to three active elements measuring the same target.

Abstract: A VR resolver with a shaft angle multiplier of 3× has a rotor core 104 that is provided with magnetic poles 104a and 104b, which project in a radial direction, and a magnetic pole 104c, which does not project in a radial direction. The VR resolver also has a stator core 101 provided with salient poles 102c and 102e that are wound with a cosine wave detection wire and that are connected. A zero point detecting terminal is led from the cosine wave detection wire between the cosine winding wound portions of the salient poles 102c and 102e. The zero point detecting terminal provides a voltage waveform. By setting a threshold value for the voltage waveform, an absolute angle of the rotor core 104 is measured.

Abstract: Axis axial position measurement system uses the electric signal generated by one or more sensors at the passage of teeth of a cogwheel fixed on the axis. The cogwheel is cut with at least one group of teeth, including at least three types of teeth of different height: a first type of teeth (1) of constant maximum height, a second type of teeth (2) of constant minimum height, and a third type of teeth (3) of variable height in the axial direction of the axis between the maximum and minimum heights of the teeth of the first and second type of teeth.

Abstract: A sensor assembly for sensing a movable object which, in one embodiment, includes a housing defining an interior cavity. A rotor is retained in the cavity. The rotor defines a central bore and a magnet is mounted in an off-center pocket defined by the rotor. The rotor is coupled to the shaft of the movable object whose position is to be measured. A sensor is also retained in the cavity in a relationship at least partially overlying the magnet and adapted to sense at least the direction of the magnetic field generated by the magnet to generate an electrical signal indicative of the position of the movable object. In another embodiment, the rotor and sensor are mounted in separate interior housing cavities separated by an interior housing wall.

Abstract: A magnetostrictive stress sensor (11, 12, 13, 14, 15, 16) includes: a magnetic member {20, (107, 108, 109, 110, 111, 112)} having a magnetostriction; a permanent magnet (30, 35, 113) adjacent to the magnetic member; a magnetic sensor (40, 104A, 104B) for detecting a leak magnetic flux on a side opposite to the permanent magnet with respect to the magnetic member, wherein the leak magnetic flux changes according to a stress acting on the magnetic member and the magnetic sensor detects the change of the leak magnetic flux, to thereby detect the stress acting on the magnetic member, and a direction (21, 108A, 109A) of the stress acting on the magnetic member is substantially orthogonal to a magnetizing direction (31, 31, 113A) of the permanent magnet.

Abstract: A magnetic field sensor includes a diagnostic circuit that allows a self-test of most of, or all of, the circuitry of the magnetic field sensor, including a self-test of a magnetic field sensing element used within the magnetic field sensor. The magnetic field sensor can generate a diagnostic magnetic field to which the magnetic field sensor is responsive.

Abstract: Nano-particles that possess either selective fluid phase blocks or modify the relative permeability of an earth formation to different fluids are used to inhibit the invasion of borehole mud into the formation. This makes it possible to make formation evaluation measurements using sensors with a shallow depth of investigation.

Abstract: A high-pressure magic angle spinning (MAS) rotor is detailed that includes a high-pressure sample cell that maintains high pressures exceeding 150 bar. The sample cell design minimizes pressure losses due to penetration over an extended period of time.

Abstract: A parallel MR imaging method that uses a reconstruction algorithm that combines the GRAPPA image reconstruction method and the compressed sensing (CS) image reconstruction method in an iterative approach (200) or joint energy optimization approach (300).

Abstract: A method for acquiring MRI signals includes: applying one or more than one RF pulse, which carries at least two frequency components, and a slice/slab selection gradient to a subject, so that at least two slices/slabs of the subject respectively corresponding to the at least two frequency components are excited simultaneously; applying a plurality of spatial encoding gradients; applying a plurality of separation gradients for separating the at least two slices/slabs; and applying at least one coherent refocusing gradient between the plurality of separation gradients.