Page 73 - Power Electronic Control in Electrical Systems
P. 73

//SYS21/F:/PEC/REVISES_10-11-01/075065126-CH002.3D ± 62 ± [31±81/51] 17.11.2001 9:49AM







               62 Power systems engineering ± fundamental concepts





















                      Fig. 2.33 Sampled voltage and current waveforms.






























                      Fig. 2.34 Three-wattmeter connection.


                      which indicates that only two wattmeters are required, connected as shown in Figure
                      2.35. Since this is valid for instantaneous power, it is also valid for average power. It
                      is valid irrespective of the waveforms of voltage and current, requiring only that the
                      connection is three-wire.
                        Under sinusoidal AC conditions the two-wattmeter connection can be described
                      by the equations
                                        P 1 ˆhu ac i a iˆ RefV ac I gˆ V ac I a cos f 1

                                                            a
                                        P 2 ˆhu bc i b iˆ RefV bc I gˆ V bc I b cos f 2  (2:40)

                                                            b
   68   69   70   71   72   73   74   75   76   77   78