I should have also mentioned I only have one battery installed.

I'm assuming windows 10 is on the system...….

Yes, uninstalling/and reinstalling the Microsoft ACPI Compliant Control Method Battery could be done on Latitude E5540. Just following the steps in link below to safety uninstall / reinstall the battery driver. 

System Battery Shows "Plugged in Not Charging" When You Hover Over the Battery Icon

https://www.dell.com/support/article/us/en/19/sln296542/system-battery-shows-plugged-in-not-charging-when-you-hover-over-the-battery-icon?lang=en

Also, check the status of the Battery Health and AC adapter in BIOS:

1. Power off system.

2. Power on system, quickly start tapping F2 key continuously until you see BIOS setup.

The status of battery health should be listed in Battery Information and the AC adapter should say it type.

How to Check Battery Health Status on Dell Laptops 

https://www.dell.com/support/article/us/en/19/sln143156/how-to-check-battery-health-status-on-dell-laptops?lang=en

And check the status of Battery Settings in the BIOS or in Dell Command Power Manager Application.

Guide to Dell Command Power Manager

<ADMIN NOTE: Broken link has been removed from this post by Dell>

Standard - Fully charges the battery at a moderate rate. This setting provides a balanced approach to extending battery life while still providing a reasonably fast charging time. Recommended for users who frequently switch between battery and external power sources.

Express Charge - Quickly charges the battery using Dell fast-charge technology. Recommended for users who need the battery to charge quickly. If the system is powered off, then the battery typically charges to 80 percent within one hour and 100 percent in two hours. Charge time may be longer if the system is powered on.

Primarily AC Use - Extends battery life by lowering the charge threshold, so that the battery never charges to 100 percent capacity. Recommended for users who primarily operate the system while plugged into an external power source.

Adaptive - Automatically optimizes battery settings based on the user's typical patterns. Recommended for users who want to "set it and forget it."

Custom - User selects when the battery starts and stops charging. Recommended for advanced users.

*Peak Shift and Thermal Management:

Peak Shift is an optional feature that reduces power consumption by automatically switching the system to battery power during certain times of the day, even if the system is plugged into a direct power source. After Peak Shift begins, the system will run on battery power until the combined charge level of all batteries reaches a minimum threshold. See Enabling Peak Shift for instructions on how to change these settings. Then, if the system is plugged in, it is powered by the direct power source; however, the battery will not charge until the Peak Shift ends.

Note: If the hours assigned to Peak Shift and Advanced Charge overlap, then Peak Shift takes priority. Batteries will not charge during Peak Shift hours.

Didn’t see my earlier reply so trying again.  Not sure where it wemt.

Thanks for all the information.  Yes running W10. I will do all the checks you sent first.   I have an additional question.  In the device manager under batteries I have two listings of  Microsoft ACPI Compliant Control Method Battery  .  When I go to properties of each they seem to be the same except when I click on the events tab and look at the information section I see Device ACPI\PNP0C0A\1 on one and  Device ACPI\PNP0C0A\2 on the other.  Do I have to reinstall both listings of Microsoft ACPI Compliant Control Method Battery or do just one?  If so, which one?  I do not know if the 1 and 2 refer to two batteries, I only have 1 battery installed.

Thanks again for any help

I would uninstall / reinstall battery drivers one at a time. 

1. Uninstall one battery driver

2. Reboot system

Once the computer has rebooted, Microsoft Windows will automatically detect and attempt to reinstall the battery driver. Please check to see if battery is now charging

How to Troubleshoot Dell Laptop Battery Issues

https://www.dell.com/support/article/us/en/04/sln292953/how-to-troubleshoot-dell-laptop-battery-issues?lang=en

Welcome to the Dell Community  @Trinisle 

Disconnect AC adapter.

Remove "Main" battery

Remove Base Cover.

Disconnect the BIOS/Coin-Cell battery.

Connect the AC adapter and power-on.

Boot to OS and then "Shut Down"

Disconnect the AC adapter.

Connect the BIOS/Coin-Cell battery.

Reassemble and test.

Best regards,

U2

NOTE:

What version BIOS do you have???

Dell Latitude E5540 System BIOS: Version A24

https://www.dell.com/support/home/us/en/19/drivers/driversdetails?driverid=mjn3r&oscode=wt64a&productcode=latitude-e5540-laptop

Any update Trinisle ?

The battery is charging again? If no, you tried U2CAMEB4ME troubleshooting steps ? 

is it solved? having same problem.

it happened recently. i guess after BIOS update A24 maybe...

I have same lattitude E5540 and Windows 8.1