Generate Sine Waves with PSLab Device
Sine wave is type of a waveform with much of a use in frequency related studies in laboratories as well as power electronics to control the level of input to devices. PSLab device is capable of generating sine waves with a very high accuracy using PSLab-firmware and a set of filters implemented in the PSLab-hardware. How Sine Wave is generated in PSLab Device PSLab device uses a PIC micro-controller as its main processor. It has several pins which can generate square pulses at different duty cycles. These are known as PWM pins. PWM waves are a type of a waveform with the shape resembling a set of square pulses. They have an attributed called ‘Duty Cycle’ which varies between 0% to 100%. A PWM wave with 0% duty cycle means simply a zero amplitude block of square pulses repeating at every period. When duty cycle is set to 100%, it is a set of square pulses with the highest amplitude throughout the period repeating in every period. The following figure illustrates how the PWM wave changes according to its duty cycle. Image is extracted from http://static.righto.com/images/pwm1.gif PSLab device is capable of generating this type of pulses with arbitrary duty cycles as per user requirements. In this context where sine waves are generated, these PWM pins are used to generate a Sinusoidal Pulse Width Modulated (SPWM) waveform as the first step to output a sine wave with high frequency accuracy. The name SPWM is derived from the fact that the duty cycle of the waveform follows an alternatively increasing and decreasing pattern as illustrated in the figure below. Deriving a set of duty cycles which follows a sinusoidal pattern is a redundant task. Without deriving them mathematically, PSLab firmware has four hard-coded sine_tables which stores different duty cycle values related to a SPWM waveform. These sine_tables in the firmware related to different resolutions set by the PSLab device user. The following code block is extracted from PSLab firmware related to one of the sine_tables. It is used to generate the SPWM wave with 512 data points. Each data point represents a square pulse with a different pulse width. The duty ratio is calculated from dividing an entry by the value 512 and converting it to a percentage. sineTable1[] = {256, 252, 249, 246, 243, 240, 237, 234, 230, 227, 224, 221, 218, 215, 212, 209, 206, 203, 200, 196, 193, 190, 187, 184, 181, 178, 175, 172, 169, 166, 164, 161, 158, 155, 152, 149, 146, 143, 141, 138, 135, 132, 130, 127, 124, 121, 119, 116, 114, 111, 108, 106, 103, 101, 98, 96, 93, 91, 89, 86, 84, 82, 79, 77, 75, 73, 70, 68, 66, 64, 62, 60, 58, 56, 54, 52, 50, 48, 47, 45, 43, 41, 40, 38, 36, 35, 33, 32, 30, 29, 27, 26, 25, 23, 22, 21, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 8, 7, 6, 6, 5, 4, 4, 3, 3, 2, 2, 2, 1, 1,…