Macbook Air 2012 shuts down when unplugged

Hi. Last night my macbook started shutting off whenever i unplugged the power adaptor.

I've reset the SMC, the PRAM and tried every solution other than changing the entire battery.

I've been a bit scared on the internet cause a lot of people are saying that they have replaced their battery and the problem persists, it may be a motherboard issue.

Anyway I'll paste the stuff here:

Battery Information:

Battery Information:

Model Information:

Serial Number: D8623870ZTUDKRNAY

Manufacturer: SMP

Device Name: bq20z451

Pack Lot Code: 0

PCB Lot Code: 0

Firmware Version: 406

Hardware Revision: 000a

Cell Revision: 162

Charge Information:

Charge Remaining (mAh): 4799

Fully Charged: No

Charging: Yes

Full Charge Capacity (mAh): 5544

Health Information:

Cycle Count: 638

Condition: Normal

Battery Installed: Yes

Amperage (mA): 195

Voltage (mV): 8145

System Power Settings:

AC Power:

System Sleep Timer (Minutes): 156

Disk Sleep Timer (Minutes): 10

Display Sleep Timer (Minutes): 156

Wake on AC Change: No

Wake on Clamshell Open: Yes

Wake on LAN: Yes

AutoPowerOff Delay: 14400

AutoPowerOff Enabled: 1

Current Power Source: Yes

DarkWakeBackgroundTasks: 1

Display Sleep Uses Dim: Yes

Hibernate Mode: 3

PrioritizeNetworkReachabilityOverSleep: 0

Standby Delay: 4200

Standby Enabled: 1

Battery Power:

System Sleep Timer (Minutes): 130

Disk Sleep Timer (Minutes): 10

Display Sleep Timer (Minutes): 130

Wake on AC Change: No

Wake on Clamshell Open: Yes

AutoPowerOff Delay: 14400

AutoPowerOff Enabled: 1

DarkWakeBackgroundTasks: 1

Display Sleep Uses Dim: Yes

Hibernate Mode: 3

Reduce Brightness: Yes

Standby Delay: 4200

Standby Enabled: 1

Hardware Configuration:

UPS Installed: No

AC Charger Information:

Connected: Yes

ID: 0x07a1

Wattage (W): 45

Family: 0x00ba

Serial Number: 0x000d6604

Charging: Yes

If anyone has any idea, please help me.

Thanks 🙂