There are a lot of questions there. I'll make an attempt at most of them.
However, let's pretend you could do it with a new technology. Remember that the most simple model you can make for a battery is an ideal voltage source in series with a resistance. Without the resistance, you can't even do what you say within theory because an ideal 36V source in parallel with an ideal 12V source is an indeterminate case, or a case where an "immovable object meets an irresistible force", so to speak. With the resistors in place, you can do it in theory, and if you want to understand it, just draw the circuit and analyze it. You'll pretty much get what NorthGuy described.
It's not clear what PWM charging is exactly, as compared to MPPT charging, when solar cells are considered. That reference is talking about battery charging in general, which is a separate subject from MPPT and solar cells.I have read that mppt chargers are recent addition to category of solar chargers and before that PWM chargers were very popular which are less efficient than mppt ones. I have tried to find some good source which describes how pulse width modulation charger works but I couldn't find any good source. Could you please point me to some good source, or if possible, could you briefly describe it yourself? I think it would be good thing to have overall understanding of its operation and knowing shortcomings of PWM chargers will highlight the importance of using mppt. You might find this text useful.
I can't claim to know this for sure, or based on any direct knowledge. But, common sense tells me this is a cost issue. If you need to put batteries in outer-space, light weight and small volume are critical. If you need to put them in aircraft, light weight and small volume are very important. If you need to put them in cars, light weight and small volume are very desirable. But, for solar, where you are on the ground typically and already used a wide area for the solar cells, light weight and small volume are no where near as important than cost.It has been mentioned that lead acid batteries are used for solar energy. Any special reason for this choice? Why not lithium-ion batteries? One of the reasons for not using Li-ion might be their high price. .When it comes to solar energy, do both lead acid and sealed lead acid batteries share the same place?
First of all, you would never do this. The voltage difference is just too much for any practical battery to operate under these conditions. Fire, explosion, outgassing, overheating and lawsuits will result for doing this.I understand that when a battery is connected to a charger then the voltage, Vout, at the output terminals of charger is same as that of the battery, as you have also told me. I'm still little confused so let's look at it from a different point of view. Let's suppose we have two batteries; the one is rated at 36 V and is fully charged, and the other is rated 12V and is sitting at 10 V. The positive terminal of one battery is connected to positive terminal of the other battery and the same goes for negative terminals. The 36V battery should be able to push current through the 12V battery because it sits at higher voltage. We have also connected a voltmeter which will read 10V at the start. But why? We know that resistance of one ohm means drop of one volt per ampere, i.e. 1Ω=1V/A where one volt is one joule per coulomb and ampere is flow of charge of one coulomb per unit time through a certain point. Think of 12 volt battery which sits at 10v as a resistance. Please have a look here. The 36 volt battery is pushing the current clockwise and 12volt battery counterclockwise and the winner is going to be 36 volt battery. We can see that 36-10=26volt. Where are these 26 volts going? They are being used to charge up the battery but then why isn't the voltmeter reading 26 volts? How do we calculate the resistance of 12V battery? I think that I know the answer but for some reason I don't know how to put it together. Please guide me. Thanks.
However, let's pretend you could do it with a new technology. Remember that the most simple model you can make for a battery is an ideal voltage source in series with a resistance. Without the resistance, you can't even do what you say within theory because an ideal 36V source in parallel with an ideal 12V source is an indeterminate case, or a case where an "immovable object meets an irresistible force", so to speak. With the resistors in place, you can do it in theory, and if you want to understand it, just draw the circuit and analyze it. You'll pretty much get what NorthGuy described.
Don't know, but the battery manufacturer would tell you. Probably you can get a basic idea by the state of charge you are at. Knowing state of charge for a battery is not always easy, but there are various ways to estimate it. It's easier for some batteries. For example, the unloaded voltage of a lithium-ion battery is a good indicator of state of charge, I believe. Battery aging is a very difficult thing to factor in to these estimates.This is the charging profile for a lead acid battery cell. I don't think a battery internally can control the amount of current during its charging. As we can see that the current needs to be closely monitored and gradually decreased in Stage 2. There should be some external mechanism or device which regulates the current going into the battery. Obviously, such a device called battery charger or regulator. But how would a regulator determine that battery has entered Stage 2 in order to tightly control the current?
Yes you make sense. Basically, you typically want to condition power in particular ways for various devices. Solar panels are a type of unregulated power source. A converter makes a very effective regulator and is very adaptable to various circumstances.Although I have made this query before, I'm still confused so I will give it another try. Why don't we connect a load, such as electric heater, directly to the panel? We need to consider two important points about a solar panel first. First a solar panel behaves like a current source. A current source is always concerned about passing a fixed amount of current through a resistance and in order to do that it can adjust the voltage (its pressure) around the resistance. Secondly, a solar panel's maximum power is rated for Vmpp and Impp which is mostly calculated at 1000W/m^2 at 25C. Suppose the heater resistance is 20. We know that V=IR=(1.5)(20)=30V, and Power=VI=(30)(1.5)=45W. But from the figure we can see that the panel is still willing to provide more voltage (strong push or more pressure) if it is offered a suitable resistance. It appears that that suitable resistance is 33Ω. If we had used resistance or heather of 33Ω then power obtained would be almost (50)(1.5)=75W. We would only be able to utilize this extra power of 30W (75-45) if the heater's resistance can be adjusted. Or, the easier way would be to use an mppt tracker. Suppose, the tracker steps down Vmpp to 30V on its output terminal and steps up the current to 2.5A then you would be able to get maximum power even with your 33Ω heater. We should also consider another issue. If we were using a light bulb instead of heater then there would be other issues. First, if we had connected light bulb directly to the panel then in the first place we would be wasting some power and on the other hand light from the bulb would continuously vary. If we had connected light bulb using an mppt even then brightness will vary during different times of the day. So this tells us another advantage of using a battery an intermediate energy storage device. Do I make sense?