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    Calulate the Lead acid battery runtime

    Tuesday, September 15, 2009, 12:43 PM AWST [General]




    A battery can either be discharged at a low current over a long time or at a high current for only a short duration. Table 1 illustrates the discharge characteristics of a lead acid battery at various loads as expressed in C-rate. At 1C, a 10Ah battery discharges at the nominal rating of 10A in less than one hour. At 0.1C, the same battery discharges at 1A for roughly 10 hours. While the discharge voltage of lead acid decreases in a rounded profile towards the end-of-discharge cut-off, nickel and lithium-based chemistries provide a more steady voltage level through most of the discharge and then drop rapidly at the end of discharge.

    Table 1: Typical discharge curves of lead acid as a function of C-rate.

    The relationship between the discharge time (in amperes drawn) is reasonably linear on low loads. As the load increases, the discharge time suffers because some battery energy is lost due to internal losses. This results in the battery heating up. The table below indicates the typical discharge time of a 10Ah lead acid battery at various currents.

    Discharge current C-Rate Discharge time End of discharge   Table 2: Typical discharge times of a 10Ah lead acid battery as a function of C-rate.
    0.5A 0.05C 20h 1.75V/cell
    0.1A 0.1C 10h 1.75V/cell
    2A 0.2C 5h 1.70V/cell
    2.8A 0.28C 3f 1.64V/cell
    6A 0.6C 1h 1.55V/cell
    10A 1C 0.5h 1.40V/cell

    If the battery was a perfect energy source and behaved linearly, a 5A discharge would take two hours to discharge. At a load current of 10A, the same battery would provide energy of one hour. In reality, the relative discharge times are much shorter at higher currents. The losses increase progressively with load. To compensate somewhat, a high current discharge is allowed to terminate at a slightly lower volt per cell, as the forth column of the above table illustrates.

    The Peukert number
    The efficiently of a battery is expressed in the Peukert number. In essence, the Peukert number reflects the internal resistance of the battery. A value close to 1 indicates a well-performing battery with little losses. A higher number reflects a less efficient battery. The Peukert number of a battery is exponential and checks in between 1.3 and 1.4 for lead acid. The number is lower for nickel-based batteries.

    Batteries are stressed the most if discharged at a steady load to the end-of-discharge point. This is the opposite of an internal combustion engine that operates most efficiently with a steady load. On a battery, the intermittent load allows a level of recovery of the very chemical reaction that produces the electrical energy. Because of the rather sluggish behavior, the quiescent rest period is especially important for lead acid. Table 3 illustrates the effective cell capacity of lead acid on a continuous discharge as opposed to an intermitted discharge.


    Table 3: The Peukert Curve. The effective cell capacity fades with increased load. An intermittent discharge improves the capacity as it allows the chemical reaction to recover.

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    Charging at high or low Temperature on the Lead acid battery

    Tuesday, September 15, 2009, 12:16 PM AWST [General]

    Rechargeable batteries operate under a reasonably wide temperature range. This, however, does not automatically permit charging under these same temperature extremes. While operating batteries under hot or cold conditions cannot always be avoided, the user has some control over charging. Efforts must be made to charge the batteries at moderate temperatures.

     

    Lead acid Battery  is reasonably forgiving on temperature extremes, as we are familiar with our car batteries. Part of this tolerance is credited to the sluggishness of the lead-acid system. Some battery brands permit freezing and low level charging; others sustain damage and deliver reduced capacity and a short service life.

    To improve charge performance of lead-acid batteries at colder temperatures and avoid thermal runaway during heat spells, controlling the voltage limits, to which the battery is charged, is important. Implementing such a measure can prolong battery life by up to 15%. General guidelines suggest a compensation of approximately 3mV per cell per degree Celsius. The voltage adjustment has a negative coefficient, meaning that the voltage threshold drops as the temperature increases.

    Heat kills batteries. The warmer the cells, the shorter the life is. Elevated temperatures cannot always be prevented, especially during fast charging, but efforts must be made to keep this time brief. While 45°C (113°F) is acceptable if kept short, at 50°C (122°F) and above, the battery starts to suffer. Note that the cells inside the pack are always a few degrees warmer than the temperature of the housing.

    Ultra-fast chargers


    Some charger manufacturers claim amazingly short charge times of 30 minutes or less. With well-balanced cells and operating at moderate room temperatures, nickel-cadmium batteries designed for fast charging can indeed be charged in a very short time. This is done by simply dumping in a high charge current during the first 70% of the charge cycle.

    In the second phase of the charge cycle, the charge current must be lowered. The efficiency to absorb charge is progressively reduced as the battery moves to a higher state-of-charge. If the charge current remains too high in the later part of the charge cycle, the excess energy turns into heat and high cell pressure. Eventually, venting will occur, releasing oxygen and hydrogen. Not only do the escaping gases deplete the electrolyte, they are highly flammable! A white powdery substance accumulating at the vent area indicates previous venting.

    Ultra-fast charging can only be applied to batteries that are designed for fast charging. Applying a high current charge to regular cells will cause the conductive path to heat up. The contacts on portable packs also suffer if the current handling of the spring-loaded plunger contacts is underrated. These contacts may wear out prematurely. Often, a fine and almost invisible crater appears on the tip of the contact, which causes a high resistive path or forms an isolator. The heat generated by a bad contact often melts the plastic. Higher contact tensions improve the current flow.

    Aged batteries with high internal resistance and mismatched cells do not lend themselves to ultra-fast charging, even if they are designed for it. Low cell conductivity turns into heat, which further deteriorates the cells. The weak cells holding less capacity are fully charged before the others and begin to heat up rapidly. Some batteries create sufficient heat to soften and distort the plastic housing. Temperature sensing is a prerequisite with fast and ultra-fast charging.

    Several manufacturers offer pulse chargers. Interspersing brief discharge pulses between each charge pulse can further enhance charging. This method promotes recombination of oxygen and hydrogen gases, resulting in reduced pressure buildup and lower cell temperature. Pulse chargers are also known to reduce crystalline formation (memory) on nickel-based batteries. Most Cadex chargers for nickel-based batteries apply this feature.

    Some advanced chargers regulate the charge current according to the battery's ability to accept charge. An empty battery will initially take a very high charge current. Towards the end of a charge, the current is tapered down. Aged batteries are given their due respect and are automatically charged at rates suitable to their condition.

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