INCREMENTAL LEARNING OF DISCRETE HIDDENMARKOV MODELS

Description

• fiche de synthèse - matière potentielle : tpibw
• dissertation
• dissertation - matière potentielle : to the memory
• mémoire - matière potentielle : complexity

INCREMENTAL LEARNING OF DISCRETE HIDDEN MARKOV MODELS By German Florez-Larrahondo A Dissertation Submitted to the Faculty of Mississippi State University in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy in Computer Science in the Department of Computer Science and Engineering Mississippi State, Mississippi August 2005

• class classifiers
• markov models pages
• fewer computer resources
• hmm
• convergence rates
• hmm parameters
• markov models
• incremental learning of discrete
• computer science
• computer-science

Sujets

• Dissertation
• Complexity
• Schulz
• Dampier
• Hodges
• Vaughn
• Bridges

Informations

• Publié par: omkue
• Nombre de lectures: 33
• Langue: English

Extrait

KV300 Series Super Micro PLC

Simplified wiring ● Unmatched flexibility for significant cost & time savings

Cat. No. KV300WIN-KA-C

TheExpertSolution

Ladder Builder for KV software ● creates sequence Æ programs in Windows

Complex wiring like this is now a thing of the past. The problem:  Even in small systems of only 20 or 30 I/Os, wiring can be a headache Ð between the PLC and terminal blocks in the control panel, at local sites, and at each I/O device. And it gets worse every time you change the program, layout arrangement, or I/O devices. The Keyence Solution: The new KV I/O Distribution System requires only two wires for all wiring between the PLC and each I/O. Plus, it eliminates the intermedi- ate terminal blocks used in conventional systems. What's more, its fast Ð you can ex- pect scan times of close to 0.5 ms, even with the maximum of 1774 I/Os.

KV-300 CPU

2

KV-R1A I/O Distribution Modules (11 maximum)

KV-R1A I/O Distribution Module

KV-U5 Power Distribution Module

The KEYENCE I/O Distribution System It's the most versatile system available today. Here's why.

Flexibility for rapid reconfiguration. With only two wires (plus the power supply line), the KV Flex- ible Branch Wir ing method allows you to ar- range I/O devices in any order. Also, you can branch the wiring at any position desired for greater convenience and economy. And there's no need for the terminating required by conventional systems.

KV-R16R/R16T/R16X I/O Terminal Modules

KV-R8R/R8T/R8X I/O Terminal Modules

It's easy to create the exact con- figuration for any site with our wide selection of I/O terminal modules Ð including 8- and 16- point input and output modules.

Flexible Branch Wiring The unique KV I/O distribution system allows branching of any I/ O terminal module at any point. There's no need to consider mod- ule order or terminating for I/O modules. Simplified wiring makes retrofitting of modules a snap.

Simple I/O Addressing I/O addressing in programs is simple and easy, even when you combine multiple I/O terminal modules and ordinary I/O devices. No special commands or ad- dresses are required.You can also change the I/O layout with ease, without the tedious re-editing of I/ O addresses that conventional systems require.

Complex wiring problems? Try the Keyence Solution. The 2wire KV I/O Distribution System ensures simple, flexible system configurations

Compact control panel Even at the maximum I/O configura- tion, your control panel contains no more than these 13 compact modules.

Up to 1774 I/Os A single CPU can control up to 11 KV- R1A I/O distribution modules, each of which can control up to 10 I/O termi- nal modules of up to 16 I/O points each Ð for a maximum of 1760 I/O points (16 x 10 x 11). Include the 14 I/Os built into the CPU, and you have up to 1774 I/O points at your disposal.

KV Quick Scans of 0.5 ms The KV Quick Scan method controls all I/Os with a fast 0.5-ms scan time, overcoming the scan-time delays of conventional wire-saving systems.

Unlimited branching for versatility

The Flexibility for Any Configuration

Compact Keyence systems are one-third the volume and require only one- half the footprint of conventional units. So control panels are smaller and wiring space is significantly reduced.

KV-U5 DC Power Distribution Module

KV-U4 AC Power Supply Module

New Modular Design Keyence's original modular de- sign allows easy mounting on a DIN rail and employs a quick-dis- connect lock mechanism. No ad- ditional rack or base is required when extending the system con- figuration.

KV-300 CPU

KV-R1A I/O Distribution Module

KV-L2 Serial Interface Module

Versatile KVAN6 Analog I/O Module Keyence now offers both A/D and D/A functions in a single module. This versatile unit can output analog data from Keyence sensors and other Ultrasonic measuring instruments for direct in- Displacement Sensor put into a PLC. In addition, it enables UD-500 analog output from a PLC to control such variables as the motor speed of line equipment. KV CPU In this example, a Keyence sensor measures sheet thickness for control- ling the speed of an extruder motor.

Create a wide variety of system configurations with Keyence Analog Sensors, RD Series Analog Sensor Controllers, and KV Series PLCs

3

130 110 90

Brand M

KV300 SYSTEM

178.3 260

379

Brand O

Keyence components set new standards for compact design.

Connector I/O Modules Our expansion connector I/O module (only 14 mm thick) can be added to the CPU. It is available in five models, including 16-inputs or 16-outputs (Triac/Relay), and 32- inputs or 32-outputs (Transistor).

KV-AN6 Analog I/O Module

KV-C32T

KV-B16R KV-B16S

KV-C16X Connector I/O Module

KVL2 Serial Interface Module This module has two ports Ð an RS-232C port and a switchable RS- 232C/RS-422A port Ð for serial communications between PLCs or between a PLC and computer. This setup makes it easy to control and read data from any external instrument with a compatible serial port. As well, a single com- 300 puter running Keyence's Ladder Builder for KV L2 U4 can communicate with multiple CPUs to edit programs and monitor operation. What's more, a computer can monitor a CPU while communicating with an- other computer through the serial port. RS-232C RS-422A And thanks to the built- KV KV KV in Display Interface 300 Mode, you can easily L2 connect a commercially KV KV available display unit to the CPU.

Slow, tedious debugging? Try the Keyence Solution. Ladder Builder ensures fast, easy programming and efficient desktop debugging.

The problem: Installation problems are inevitable when ma- chinery, control panels, and PLC programs are developed indepen- dently. Complicated, time-consuming rewiring, machinery readjust- ment, and reprogramming are unavoidable. Even worse, on-site de- bugging becomes slow and labor-intensive, because the program can't be seen. The result is delayed production and increased cost pressures.

New Windowscompatible Ladder Builder available! User-friendly operation and high-level programming ca- pabilities make Ladder Builder for KV ideal for be- ginners and experienced programmers alike.

4

The Keyence Solution: With Ladder Builder Software, you save programming and debugging time. Our original Desktop Simulator feature lets you check program operation in advance Ð without first connecting to machinery, I/O devices, or even a PLC. By verifying your program on computer, you can troubleshoot problems before installation, avoiding tedious rewiring and adjustment on-site.

Simulate Without PLC Our new Desktop Simulator lets you simulate a program in operation before you connect your PLC.

The Easiest Programming Ever Simulator Quick debugging without a PLC Even without a PLC connected, Ladder Builder for KV can simulate program execution. The execution can be checked without transferring the program to the PLC. By providing a single step execution function (forward or reverse) in addition to a regular scan execution function, debugging efficiency is increased.

Monitor Real time monitoring without stopping the machine Ladder diagram and element on/off status can be monitored real time. Timing charts can be monitored simultaneously.

Editor Æ Easy editing using Windows functions

Instruction selection window The user-friendly design allows data entry from a key- board or mouse. You can select and specify a device or command from a list provided by device type. This ensures error-free entry of target symbols. For fast programming, you can also enter the symbol di- rectly by typing the command from the keyboard.

Autosave function Ladder Builder for KV automatically backs up your program at predetermined intervals. This protects your data from being lost due to a PC power loss or sys- tem crash.

Forward/reverse single step execution You can easily find a problem in complex operations by checking the operation process by one step at a time.

Monitor All Function Timers, counters and data memories can be checked simultaneously in multiple windows. For effective debug- ging, you can check multiple devices at one time which donÕt directly appear in the ladder diagram.

Registration Monitor Ladder Builder for KV can display multiple timing charts of devices simultaneously. This enables convenient checking of all element on/off timing.

Ladder Simulator enables direct checking of the ladder diagram execution By clicking an element in the ladder diagram, the simu- lator screen quickly appears which allows element set- ting/resetting.

Usage list When creating ladder diagrams, it can be difficult to keep track of addresses already used. The usage list displays which ones are used/available.

Multifile editing Multiple files can be edited simultaneously on Ladder Builder for KV. You can freely cut and paste from one file to another.

5

UNDO function Ladder Builder for KV enables efficient editing. If you acciden- tally delete an instruction, you can undo the action simply by clicking the ÒUndoÓ button. "Redo" button cancels "Undo".

MSDOS version is small enough for any computer configura tion Incrediware [KV-H4E for MS-DOS] MS-DOS version is also avail- able with very simple operation and real-time monitoring.

Remarks Number of steps: 8000, Inputs: 10, Outputs: 4 Input supply voltage: 100 to 240 VAC, Output voltage: 24 VDC, Output current: 1.4 A Input supply voltage: 24 VDC, Maximum current: 3.5 A Input mode: 24 VDC/5 VDC switchable, Inputs: 16 Input mode: 24 VDC/5 VDC switchable, Inputs: 32 Rated load: 250 VAC/30 VDC 2 A (8 A per common), Outputs: 16, Connection: terminal block

KV-U5

Output Module (Relay)

KV-B16R

Analog I/O Module

DC Power Distribution Module

I/O Terminal Module (Relay-Output) I/O Terminal Module (Relay-Output) I/O Terminal Module (Transistor-Output) I/O Terminal Module (Transistor-Output) Serial Interface Module

#ddddd T xxx H

#ddddd T xxx S

Serial I/O devices

Analog I/O devices

Instruction list Basic instructions Instruction Symbol 0.1-s TIMER #ddddd T xxx

#ddddd C xxx nnnn

Special modules KV-AN6 KV-L2 Serial Analog I/O interface module module

Connector Input Module

Arithmetic instructions Interrupt instructions TRIMMER SETTING TMIN INTERRUPT DISABLED TRANSFER BCD TBCD INTERRUPT ENABLED TRANSFER BIN TBIN INTERRUPT ASCII CONVERT ASC RETURN INTERRUPT REVERSE ASCII CONVERT RASC SQUARE ROOT ROOT Note: Only the principal instructions are listed above.

Selects ON/OFF status of R coils, Ts, or Cs.

Represents end of MC.

Frequency (Hz)

Operation

Reduces input relay time constant to 25µs for higher input response.

KV-C32X

Output Module (Triac)

Connector Input Module

DI EI INT RETI

6

Rated load: 30 VDC 0.3 A, Outputs: 8, Connection: terminal block Rated load: 30 VDC 0.3 A, Outputs: 16, Connection: terminal block Communication port: one RS-232C and one RS-232C/RS-422A switchable port Analog input: 4 channels (±10 V/±5 V/0 to 20 mA switch selectable), Analog output: 2 channels (±10 V/±5 V/4 to 20 mA switch selectable) For easy wiring of connector I/O modules

I/O Terminal Module (Input)

KV-R16R

KV-R8X

16-bit (0 to 65535) up-counter for clock pulses with input response frequency of 30 kHz.

I/O Terminal Module (Input)

KV-R16X

KV-R1A

KV-R8R

Model name CPU AC Power Supply Module

JUMP

END STAGE

STAGE

Model KV-300 KV-U4

16 KEY INPUT

Peripherals IBM PC-AT compatible computer Z-1 Memory Card Reader/writer M-2/3 Memory Card

I/O terminal modules KV-R8X I/O terminal module (8 Input) KV-R8R I/O terminal module (8 Relay-Output) KV-R8T I/O terminal module (8 Transistor-Output) KV-R16X I/O terminal module (16 Input) KV-R16R I/O terminal module (16 Relay-Output) KV-R16T I/O terminal module (16 Transistor-Output)

KV-AN6

KV-R16T

KV-L2

OP-21734

Acceleration time

Start

CPU KV-300

Personal computer

KV-H6WE/KV-H4EW KV Ladder Software (3 1/2") KV-P3E Handheld programmer

KV-C16X

KV-B16S

Mnemonic UDC (FNC52)

16-bit on-delay timer. Counts down in 0.01-s decrements.

16-bit on-delay timer. Counts down in 1-ms decrements.

Mnemonic TMR

Function 16-bit on-delay timer. Counts down in 0.1-s decrements.

Sets 16-bit counter.

Power supply

External devices External PLC display device (KV-10/80 series, etc.)

0.01-s TIMER

COUNTER

KV-U4 AC power supply module

KV-U5 DC power distribution module

1 ms TIMER

I/O modules Connector I/O modules KV-C16X I/O module (16 Input) KV-C32X I/O module (32 Input) KV-B16R I/O module (16 Relay-Output) KV-B16S I/O module (16 Triac-Output) KV-C32T I/O module (32 Transistor-Output)

KV-R1A I/O Distribution module

#ddddd CTCn

CTH1 nnnn

CTH

CTC

16 BIT COUNTER COMPARATOR

Application instructions Instruction Symbol UP-DOWN UDCxxx UP #ddddd COUNTER DW RES

JMP (FNC21)

Turns current stage OFF when input is ON.

C

TMH (FNC49)

MC

TMS (FNC51)

MCR (FNC25)

MASTER CONTROL RESET

HSP nnnn

MC (FNC24)

MCR

HSP (FNC18)

Turns current stage OFF and next stage ON when input is ON.

HKEY nnnn mmmm

Executes instructions between STG & JMP when R (operand) is ON.

nnnn JMP

ENDS

STG (FNC44)

MEMSW $xxxx

nnnn STG

HKEY (FNC 17)

ENDS (FNC14)

Reads hexadecimal key data and outputs this data to special utility relays.

HIGH SPEED

Unique Special Utility Relays

16 BIT COUNTER

Highspeed interrupt input CPU inputs 000 to 003 can be used as 10µs interrupt inputs, so short inputs won't be missed.

Function Sets a 16-bit up-down counter.

Connector Output Module (Transistor) I/O Distribution Module

Hardware-based comparator compares between preset & current values of high-speed counter. This comparator turns ON when these values are equal.

KV-C32T

Module list

Sets memory switches.

MEMSW (FNC26)

2813 This relay sets the time constants of inputs 000 to 009 to 10µs at the same time.

MEMORY SWITCH

MASTER CONTROL

System configuration

2807 This relay enables the KV CPU to transmit text data automatically via the serial port without any commands from an external com- puter.

Rated load: 250 VAC 0.3 A (1.2 A per common with surge voltage protection), Outputs: 16, Connection: terminal block Rated load: 30 VDC 0.2 A, Output: 32 Max. number of I/O terminal modules: 5 input terminals and 5 output terminals Input voltage: 24 VDC, Inputs: 8, Connection: terminal block Input voltage: 24 VDC, Inputs: 16, Connection: terminal block Rated load: 250 VAC 2 A, Outputs: 8, Connection: terminal block Rated load: 250 VAC 2 A, Outputs: 16, Connection: terminal block

Crimping Tool

KV-R8T

Summary

Builtin ramp up/down program Merely enter three parameters, including pulse frequency, in data memory to control stepper motors and pulse-input AC servomo- tors. Output is not affected by scan-time delay.

Deceleration time

Packed with convenient features

Time (ms)

Two 30kHz highspeed counters These counters can handle 2-channel quadrature inputs for phases A/B.

Output pulse count

16 —

KV-R16T

Analog I/O module KV-AN6 A/D specifications Analog input (switch selectable)Voltage:±10 V/±Current: 0 to 20 mA5 V Absolute inputVoltage:±Current:12 V max. ±30 mA max. Input impedanceVoltage: 1 MΩ Current: 350Ω Analog input channels4 channels Resolution1/4000 Digital data format16-bit binary, complement of two Effective bits are the 12 bits starting from the most significant bit. Total accuracy±1% of full scale Conversion rate720µs/4 ch Isolation methodPhotocoupler: Not isolated between channels or between A/D and D/A converters D/A specifications 1. Analog outputVoltage:±10 V/±Current: 4 to 20 mA5 V Output impedanceVoltage: 100Ω Max. load resistanceCurrent: 400Ω Analog output channels2 channels Conversion rate360µs/2 ch Current consumption240 mA max. WeightApprox. 200 g 1. Voltage output: switch selectable; current output: use separated terminal

Rated load

Output module

Model Output type Outputs Connection

250 VAC 2 A 30 VDC 2 A 8 A per common 5 A 10 ms 10 ms — — 8 I/O per common terminal — 150 mA Approx. 200 g

Specifications Environmental specifications (Common to all modules)

19 V

Transistor NPN 30 VDC 0.1 A 100µA 0.3 V 10µs (for both OFF/ON and ON/OFF switching) 4 I/O per common terminal

I/O distribution module KV-R1A Communication mode1: N 2-wire communication ConnectionMulti-branching or multi-drop Transmission rate1.25 Mbit/s Maximum transmission delay500µs 1. Transmission distance120 m (total length) Maximum number ofInput terminals: 5 (80 inputs) I/O terminal modulesOutput terminals: 5 (80 outputs) 2.2 Transmission media2-core wire (VCTF 0.75 mm ) or AWG 18 twisted pair Error control method2-bit reverse check Maximum current consumption75 mA WeightApprox. 100 g 1. Total length of the transmission cable. 2. Use unshielded cable.

24 VDC input mode 5 VDC input mode 26.4 VDC max. 24 VDC 5.3 mA 5 VDC 1 mA 19 V 3.5 V 1.5 mA – – 1.5 V 10 I/O per common terminal Normal: 10 ms±20% When HSP instruction is used: 25µs±20% When special utility relay 2813 is ON: 10µs±20% (for both OFF/ON switching)

Weight (excluding brackets)

8

KV-R8R

1.5 mA – (ON OFF) ➞ (0 ms) 75µs±20% (1 ms) 1 ms±20% (10 ms) 10 ms±20% 8 I/O per 16 I/O per common terminal common terminal 24 VDC±10% 25 mA max. 30 mA max. Approx. 130 g Approx. 180 g

16 Terminal block

KV-U4 100 to 240 VAC±Hz10% 50/60 24 VDC±10% 240 mV p-p max. 1.4 A (Total of power supplied to connected modules and service power supply) Approx. 340 g

I/O distribution terminal KV-R8X KV-R16X 8 16 Terminal block 24 VDC (5.3 mA)

Power supply Model Input supply voltage Output voltage Ripple/noise Output current

Noise immunity

Threshold voltage (ON)

Output Type of output Rated load Maximum leakage current at OFF Maximum residual voltage at ON Maximum switching time Common ground

Input supply voltage Maximum current consumption Weight

KV-C32T Transistor (NPN) 32 Connector (conforms to MIL Standard) 30 VDC 0.2 A

I/O built-in CPU KV-300 Input Input modes Rated voltage Input voltage and current Threshold voltage (ON) Threshold current (OFF) Threshold voltage (OFF) Common ground Input time constant

250 VAC 0.3 A Continuous load current 1.2 A per common 20 A 1/2 cycle + 2 ms 1/2 cycle + 2 ms 2 mA — 8 I/O per common terminal — 85 mA Approx. 200 g

KV-U5 24 VDC±10% – – 3.5 A

Relay

8

Transistor

I/O distribution terminal KV-R16R KV-R8T

System specifications KV-300 Programming languagesLadder diagram and extended ladder diagram Number of instructionsArithmetic: 26 Interrupt: 4Basic: 16 Application: 34 Instruction processing timeBasic instruction: 0.15µs min., 0.6µs average Application instruction: 0.30µs min., 10.0µs average Max. number of steps8000 Input/output14 to 1774 (when max. number of I/O distribution modules (including 14 I/Os of CPU)are connected) 14 to 366 (when max. number of connector I/O modules are connected) Maximum number of11 (13 if KV-AN6 and KV-L2 are included.) expansion modules Internal utility relays800 (with latching function) Special utility relays160 Data memory (16-bit)10,000 words Temporary memory (16-bit)32 words Timers/countersTotal: 250 (including two analog timers) High-speed counter2-phase high-speed counter: 0 to 65535 counts (max. input response frequency: 30 kHz) High-speed counter comparator4 (2 each for high-speed counters) Direct output allowed Maximum direct clock pulse2 independent axes (with X-Y positioning)50 kHz Number of element comments storable 1000 Memory backupProgram memory: EEPROM: Rewritable 50,000 times Data memory, counter:Data retained for 5 years minimum at 25°C Maximum current consumption160 mA WeightApprox. 110 g

250 VAC 2 A 30 VDC 2 A 30 VDC 0.3 A 8 A per common 5A – 10 ms 50µs 10 ms 50µs — 100µA — — 0.5 V 4 I/O per 8 I/O per 16 I/O per common terminal common terminal common terminal 24 VDC±10% 85 mA 150 mA 35 mA 50 mA Approx. 160 g Approx. 240 g Approx. 130 g Approx. 180 g

Minimum insulation resistance

Common ground

Vibration resistance

Environmental restrictions

Input supply voltage Maximum current consumption Weight

Input module

Connector I/O KV-C16X KV-C32X 16 32 Connector (Conforms to MIL Standard) 24 VDC (5.3 mA) 5 VDC (1 mA) switchable 19 V (Input mode: 24 VDC) 3.5 V (Input mode: 5 VDC) 1.5 mA (Input mode: 24 VDC) 1.5 V (Input mode: 5 VDC) ➞ (OFF ON) (0 ms) 25µs±20% (1 ms) 1 ms±20% (10 ms) 10 ms±20% 16 I/O per 32 I/O per common terminal common terminal – 15 mA max. Approx. 80 g Approx. 95 g

Peak load current ➞ Maximum OFF ON ➞ switching time ON OFF Maximum leakage current at OFF Maximum residual voltage at ON Common ground

Model Inputs Connection Input voltage and current

0 to 50°0 to 45C, KV-P3E: °C 35 to 85% 1500 VAC applied between power terminal and I/O terminals, and between external terminals and housing (1 min.) Excluding the AC power supply module/DC power distribution module, KV-AN6 and KV-L2 Noise generated by noise simulator: 1500 V p-p min. 1µs and 50 ns 10 to 55 Hz. Double amplitude of 1.5 mm max. applied in X, Y, and Z directions (2 hrs) 1G when mounted to DIN rail 50 MΩbetween power terminal and I/O terminals, and between external terminals and housing (measured with 500 VDC megohmmeter) No excessive dust or corrosive gas

7

— 10µs 100µs 100µA 0.5 V 32 I/O per common terminal — 55 mA Approx. 70 g

Approx. 90 g

Threshold current (OFF) Threshold voltage (OFF) Input time constant (3-way switchable)

Connector I/O KV-B16R KV-B16S Relay Triac 16 16 Removable terminal block

Ambient temperature Relative humidity Withstand voltage

©KEYENCE CORPORATION, 1995 KV300WIN-KA-C-1-0898 Printed in Japan

KEYENCE CORPORATION OF AMERICA Corporate Office 50 Tice Blvd., Woodcliff Lake, NJ 07677, U.S.A.

Minneapolis Office Phone: [phone]  Fax: [phone] St. Louis Office Phone: [phone]  Fax: [phone] Texas Office Phone: [phone]  Fax: [phone] Denver O ffice Phone: [phone]  Fax: [phone]

Cincinnati Office Phone: [phone]  Fax: [phone] Michigan Office Phone: [phone]  Fax: [phone] Indianapolis Office Phone: [phone]  Fax: [phone] Chicago Office Phone: [phone]  Fax: [phone]

Boston Office Phone: [phone]  Fax: [phone] New Jersey Office Phone: [phone]  Fax: [phone] Pennsylvania Office Phone: [phone]  Fax: [phone] Charlotte Office Phone: [phone]  Fax: [phone]

29.5

80

7.2

Dimensions

35.4

End unit

24

27.3

27.3

35.4

Atlanta Office Phone: [phone]  Fax: [phone] Tampa Office Phone: [phone]  Fax: [phone] Cleveland Office Phone: [phone]  Fax:[phone] Columbus Office Phone: [phone]  Fax: [phone]

35.4

Unit: mm

27.3

35 59.3

168

KV-U4

The KV-10/80 Series of PLCs pro- vide integral local control of up to 80 I/Os without the need for addi- tional I/O units. Expansion I/O units provide up to 128 I/Os.

Phoenix Office Phone: [phone]  Fax: [phone] Portland Office Phone: [phone]  Fax: [phone] Northern California O ffice Phone: [phone]  Fax: [phone] Los Angeles Office Phone: [phone]  Fax: [phone]

7.2

85

90

88.5

4

35.4

88

50 42

2 x
4.6 (mounting hole)

70

KV-R8R/R8T/R8X

90

4

8.5

4

90

90

4

157 165

4.5

90

4

Visit our website for other Keyence products at

5.2

25

Contact us for details today.

5.2

50 42

90

KV-P3E

Specifications are subject to change without notice.

27.3

35.4

85 100

35.4

Supersmall PLCs also available!

(68)

KV-U5

KV-R16R/R16T/R16X

KV-R1A

115

31.7

107 115

35 59.3

(45)

18

35

2 x
4.6 (mounting hole)

4.4

4

13.1

4.4

KV-L2

4.4

90

35

(35)

4.4

4

90

4

KV-B16R/B16S/AN6

90

4.4

KV-C16X/C32T

KV-C32X

25

KV-300

85 108 100

60