Generally, efficiency is defined as the ratio of output power to the input power. In Electrical Engineering efficiency is defined in terms of power or energy. Here,
Efficiency (𝞰) = (Pout./Pin) * 100%
Very often in Electrical systems, we come across the cascaded systems. Like the one shown below:
In such cases, the efficiencies should be multiplied to obtain the overall efficiency of the system.
Here in the present case:
𝞰t = 𝞰1 * 𝞰2 * 𝞰3 * 𝞰4
Example # 1: An electrical tool takes 1000 watt input and provides some output with a loss of 100 watts. Determine the efficiency of the system.
Solution: Input power = Loss + Output power
Output power = 1000 watt - 100 watt = 900 watt
Now efficiency = 900 watt / 1000 watt * 100 = 90%
Example # 2: A power station has three portions. Portion A, Portion B, and Portion C. The efficiencies of portions are 89%, 93%, and 92% respectively. Find the overall efficiency of system.
Solution: 𝞰t = 𝞰1 * 𝞰2 * 𝞰3 = 0.89 * 0.93 * 0.92 = 0.7614 = 76.14%
Efficiency (𝞰) = (Pout./Pin) * 100%
Very often in Electrical systems, we come across the cascaded systems. Like the one shown below:
In such cases, the efficiencies should be multiplied to obtain the overall efficiency of the system.
Here in the present case:
𝞰t = 𝞰1 * 𝞰2 * 𝞰3 * 𝞰4
Example # 1: An electrical tool takes 1000 watt input and provides some output with a loss of 100 watts. Determine the efficiency of the system.
Solution: Input power = Loss + Output power
Output power = 1000 watt - 100 watt = 900 watt
Now efficiency = 900 watt / 1000 watt * 100 = 90%
Example # 2: A power station has three portions. Portion A, Portion B, and Portion C. The efficiencies of portions are 89%, 93%, and 92% respectively. Find the overall efficiency of system.
Solution: 𝞰t = 𝞰1 * 𝞰2 * 𝞰3 = 0.89 * 0.93 * 0.92 = 0.7614 = 76.14%
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