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STPM01 датащи(PDF) 48 Page - STMicroelectronics |
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STPM01 датащи(HTML) 48 Page - STMicroelectronics |
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48 / 60 page ![]() Theory of operation STPM01 48/60 Doc ID 10853 Rev 8 Equation 16 The reactive power will present then a ripple at twice the line frequency. Since the average value of a sinusoid is 0, this ripple does not contribute to the reactive energy calculation over time, moreover, in the STPM01 the reactive power is not used for meter calibration or to generate the stepper pulses, then this ripple will not affect the overall system performances. In case of Rogowsky coil, the same procedure is applied, but the current channel will be proportional to the derived of the current and the differentiated is bypassed in the voltage channel, so we have: Equation 17 Equation 18 The reactive power is then calculated: Equation 19 8.24.3 Apparent power and RMS values The RMS values are calculated starting from the following formulas. Shunt or current transformer Equation 20 multiplying Equation 20 by ω, the I RMS value is obtained: ()) t 2 sin( sin 2 VI ) t ( Q 2 1 ) t ( Q 1 3 ϕ + ω − ϕ ⋅ = ω ⋅ ⋅ = () ()) t 2 sin( sin 2 VI ) t sin( I ) t cos( V ) t ( i ) t ( V dt ) t ( i dt ) t ( v ) t ( Q 1 ϕ + ω + ϕ ω = ϕ + ω − ⋅ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ ω ω − = ⋅ = ′ ⋅ = ∫∫ () ()) t 2 sin( sin 2 VI ) t cos( I ) t ( t sin V ) t ( i ) t ( v ) t ( Q1 ϕ + ω − ϕ ⋅ ω ⋅ − = ϕ + ω ω − ⋅ ω = ′ ⋅ = ()) t 2 sin( sin 2 VI ) t ( Q 2 1 ) t ( Q 1 3 ϕ + ω + ϕ ⋅ = ω ⋅ ⋅ = 2 I dt ) t ( I T 1 T 0 2 ⋅ ω = ∫ |
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