PLEASE DO NOT TRY WHAT YOU ARE TALKING ABOUT DOING. YOU WILL CAUSE A FIRE. YOUR MODEL IS TOTALLY WRONG.
http://batteryuniversity.com/learn/article/lithium_ion_safety_concerns
http://cds.linear.com/docs/en/design-note/dn188f.pdf
Let's talk about how to charge 1 Li-ion cell, and how the cell responds to applied voltage.
There are three phases to charging a li-ion battery. The correct voltages and currents may vary based on the battery pack specifications and manufacturer. Not following the protocol can damage the cell or cause a fire.
1. Precharge. If the cell voltage is below 3.0V, you must apply a small current (about 10% of the specified charge current for the battery) until the cell reaches 3 volts. If your cells contain a safety pack (I THINK most do), they will probably not be below the voltage required to begin the constant current phase.
2. Constant current. During this phase you apply a constant current. The amount varies based on the manufacturer specifications, but is typically 1C. So, for a 1200ma battery that would be 1.2A. This requires a constant current power supply. If you start with the battery at 3.0V, this will occur when you apply slightly above 3.0V to the battery. As it charges, the required voltage changes. For example, when the battery reaches 3.7V, you will need to apply slightly more than 3.7V to maintain a 1C rate. You continue this phase until the battery voltage reaches 4.2V +- 50mv. As I said, the applied voltage required to supply a 1C current changes as the battery charges. Supplying too much current can cause a fire.
3. Constant voltage. During this phase you must maintain the voltage across the battery to 4.2V +- 50mv (depends on the manufacturer) by reducing the charge current. When the charge current reaches 0.1C you can terminate charging. Skipping this phase will result in a significantly undercharged battery.
Connecting batteries in series complicates this because not all cells will be at the exact same voltage. So charge balancing is required.
Connecting batteries in parallel also causes issues because during the constant current phase you can't control how much current goes into each battery. So you must limit to 1C and charge slowly.
Some of this can be avoided by charging at a very low contant current.
Let's say you have 9 1200mah cells discharged to 3.0V each. That requires somthing a little above 27V to charge at 1C. Whn they reach 4.0V per cell, you need slightly above 36V to supply 1C. Once the voltage reaches 4.2V per cell you are in contant voltage mode.
I think you are in way over your head.