Why my windshield wiper only works on high and don't work on delay?

Question edited for clarity.
Question moved to correct year make model category.

Check the fuses and relays.

Ford Taurus (2000-2007) fuses and relays

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2003 - Here you will find fuse box diagrams of Ford Taurus 2000, 2001, 2002, 2003, 2004, 2005, 2006 and 2007, get information about the location of the fuse ...

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The 2003 Ford Taurus has 2 different fuse boxes: Passenger compartment fuse panel diagram. Power distribution box diagram. * Ford Taurus fuse box diagrams ...

Ford Taurus (1999 - 2007) - fuse box diagram - Auto Genius

https://www.autogenius.info > ford-taurus-1999-2007-f...
Jul 2, 2018 - Ford Taurus (1999 - 2007) - fuse box diagram. Year of production: 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007 ...

You didn't take into account the wiper switch is a input to the BCM - body control module ,or do you know that ? The BCM controls wiper one an wiper two relay's to turn on the wipers .
Wondering if it is the PCB or perhaps a physical problem? Guessing never finds the problem . Reading how they work in factory service repair info should be the first step for someone that doesn't know .
Intermittent Operation
Windshield wiper DELAY operation is a low speed wiper motor function with a variable delay interval between the wiper motor cycles. The DELAY interval is determined by a series of 5 resistors within the wiper/washer switch. During DELAY wiper operation, the signal circuit voltage is further reduced through the DELAY resistors. The body control module (BCM) monitors the voltage on the signal circuit to determine the delay interval between the low speed wiper motor cycles.
If the wiper switch is moved from a longer delay interval to a shorter delay interval, the BCM will command an immediate wipe cycle and reset the delay timer to the shorter delay interval.
Additionally, intermittent wiper operation is vehicle speed sensitive. As vehicle speed is increased or decreased, the wiper interval will also increase or decrease.

Low Speed Operation
When the wiper switch is in the Low position, voltage is supplied through an internal resistor to the signal circuit. The body control module (BCM) monitors the windshield wiper switch signal 1 circuit and energizes the wiper 1 relay which will operate the windshield wiper motor. The wiper motor will operate at low speed, since the wiper 2 relay is de-energized. Low speed can also be commanded with a scan tool by commanding Wiper Relay Cmd. ON and OFF.
High Speed Operation
In the High position, the windshield wiper/washer switch supplies voltage to both the wiper 1 and wiper 2 relay coils. This energizes both relays and allows battery voltage from the wiper 1 relay switched output to the switched input of the wiper 2 relay through its contacts and out the switched output of the wiper 2 relay to the high speed circuit of the windshield wiper motor. The windshield wiper motor will operate at high speed. During HIGH speed wiper motor operation, the wiper switch signal circuit is at the LOW speed signal voltage, and the body control module (BCM) supplies redundant voltage to the wiper relay via the wiper diode.

Wiper/Washer System Components
The Wiper/Washer System consists of the following components:
• Windshield wiper/washer switch
• Body control module (BCM)
• Wiper 1 relay
• Wiper 2 relay
• Wiper diode
• Windshield wiper motor
• Windshield washer pump
• Windshield washer nozzles
• Windshield washer solvent container
• Windshield wiper arm and blade assemblies
• Windshield wiper transmission
• WIPER/SW 10A fuse
• WIPER 25A fuse
Refer to Master Electrical Component List.

DTC B3715 02: Front Wiper Relay Drive Circuit Short to Ground
DTC B3715 05: Front Wiper Relay Drive Circuit Short to Battery or Open

Your best bet , take it to a qualified repair shop.

Search Results

My windshield wipers only work on high speed...? ' Yahoo Answers

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Nov 11, 2006 - My windshield wipers only work on high speed. ... If it's the compound switch on the lever on the steering wheel, it can be a bit complicated to ...

Windshield wipers - CarGurus

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CarGurusMay 19, 2015 - Windshield wipers - My wipers stopped last week and the next day they ... slow or intermitt and only work on high speed and the washer wiper doesn;twork ... The LCM does not effect the operation of the motor or switch it just ...

Windshield Wipers only working at highest setting - Ford Flex Forum

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Feb 16, 2011 - Windshield Wipers only working at highest setting ... rear wiper worksjust fine, just the front wipers only work at highest setting. ... the wipers sometimes grinds out the gears thus only working at high sppeds. If it is the motor or Transmission for the wipers, can I fix this myself and how much would it cost me.

Common GM Wiper Problem - YouTube

? 3:23
https://www.youtube.com/watch?v=kc6e2Tmar68
Oct 25, 2010 - Uploaded by roadragecustoms
The windshield wipers only worked occasionally. ... My 1998 dodge ram wipers only work on high will this help me? thanks.... Express van. you have to take out the motor and the transmission from under the front of the van..

I am not sure where you got that number. It does not cross reference to any known Ford part. The wiper delay is controlled by the module that is in the steering column. The whole thing is one piece, Turn signals wiper etc.

The problem would be in the stalk controller. The wiper Relay is what provides power to the motor for all settings, the delayed wipers, low speed, and high speed. There are not 3 relays, but 1 for all functions. If you have power to the high setting, the relay is working.

Maybe worth checking wiper switch or wiper motor.If you have a multi-meter it maybe worth checking power supply to switch and motor..hope it helps.....

usually attached to the motor in the form of a black box.

If the control switch is working then water may have gotten into the wiper motor shorting out the motor or electronics inside.

Wiper Switch or Delay Module

Try replacing relay for wiper with another same relay from fuse block from another working accessory.Had same issue on friends Ford Ranger. Moved relays and cleaned harness connection at fuse block. Works fine.