Replace Fan Relay but still Radiator cooling fans not working?

Radiator cooling fans runs when engine over heats and temperature gauge rises.
Verify that the fans work by unplugging them and run jumper wires to the fan(s) from the battery, and not from the other fan or anywhere else. If they run, your problem lies elsewhere. If either does not run, it's the motor.
The PCM commands Low Speed Fans ON under the following conditions:
• The engine coolant temperature exceeds approximately 106°C (223°F). • The A/C refrigerant pressure exceeds 1310 kPa (190 psi). • The vehicle is shut off when the engine coolant temperature is greater than 140°C (284°F) and system voltage is more than 12 volts. The fans will stay ON for approximately 3 minutes. The PCM commands High Speed Fans on under the following conditions:
• The engine coolant temperature reaches 110°C (230°F). • The A/C refrigerant pressure exceeds 1655 kPa (240 psi). • When certain DTCs set. The primary fan (Fan#1) is protected by a 30amp fuse and the secondary fan (Fan#2) has 15 amp. So it's not surprising the secondary fan fuse blew when you connected the primary fan on the secondary connector. On a V6 engine, there is additional ground fuse (30amp) for the secondary fan circuit, also at the underhood fuse block.
The information above shows the two modes of operation of the cooling fans, as to when they should work, so that you may have better understanding. Since you have changed all the 3 cooling fan relays, you should also check the fuses, the power, ground, and the condition of the fan connectors.
The Powertrain Control Module (PCM) controls the on and off of the relays, depending on the inputs provided by the engine coolant sensor (ECT) and a/c pressure sensor.
At low speed mode (106degC), Fan#1 relay clicks on, and both fans will work at low speed. In case one of the fans is defective, the other will not spin as well. If left on this condition, naturally the engine will get hotter, until it reaches 110degC which will be the high speed turn-on point.
At high speed mode, the other 2 relays will also click on. This time each fan motor will receive full 12v power and expected to roar at high speed.
The condition of the coolant, the ECT sensor, and the PCM itself plays an important role in the proper operation of the cooling fans. A faulty ECT sensor will not give the proper signals to the PCM, and a faulty PCM may not give the required control signals that it's programmed to be.
In case of an ECT or PCM issues, a scan tool can effectively monitor the signals coming from this components. As for the rest of the circuit, you can check it the usual conventional method.

This details will help you.

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