Synchronous Machine Measurement

Per-unit measurement from synchronous machine

Libraries:
Simscape / Electrical / Electromechanical / Synchronous

Description

The Synchronous Machine Measurement block outputs a per-unit measurement associated with a connected Synchronous Machine Round Rotor or Synchronous Machine Salient Pole block. The input of the Synchronous Machine Measurement block connects to the pu output port of the synchronous machine block.

You set the Output parameter to a per-unit measurement associated with the synchronous machine. Based on the value you select, the Synchronous Machine Measurement block:

Directly outputs the value of an element in the input signal vector
Calculates the per-unit measurement by using values of elements in the input signal vector in mathematical expressions

The Synchronous Machine Measurement block outputs a per-unit measurement from the synchronous machine according to the output value expressions in the table. For example, when you set Output to Stator d-axis voltage, the block directly outputs the value of the pu_ed element in the input signal vector. However, when you set Output to Reactive power, the block calculates the value from the pu_ed, pu_eq, pu_id, and pu_iq elements.

Output Parameter Setting	Output Value Expression
Field voltage (field circuit base, Efd)	`pu_fd_Efd`
Field current (field circuit base, Ifd)	`pu_fd_Ifd`
Electrical torque	`pu_torque`
Rotor velocity	`pu_velocity`
Stator d-axis voltage	`pu_ed`
Stator q-axis voltage	`pu_eq`
Stator zero-sequence voltage	`pu_e0`
Stator d-axis current	`pu_id`
Stator q-axis current	`pu_iq`
Stator zero-sequence current	`pu_i0`
Apparent power	$\sqrt{p u_P t^{2} + p u_Q t^{2}}$
Real power	`pu_Pt = (pu_edpu_id) + (pu_eqpu_iq) + 2(pu_e0*pu_i0)`
Reactive power	`pu_Qt = (pu_eqpu_id) – (pu_edpu_iq)`
Terminal voltage	$\sqrt{(p u_e d^{2} + p u_e q^{2})}$
Terminal current	$\sqrt{(p u_i d^{2} + p u_i q^{2})}$
Power factor angle (rad)	`power_factor_angle = atan2(pu_Qt, pu_Pt)`
Power factor	`cos(power_factor_angle)`
Load angle (rad)	`load_angle(rad) = atan2(pu_ed, pu_eq)`
Rotor electrical angle	`y = pi+2*atan(tan((u-pi)/2))`

Examples

Three-Phase Synchronous Machine Control

Control and initialize a Synchronous Machine (SM). The test circuit shows the SM operating as a generator. The terminal voltage is controlled using an AVR and the speed is controlled using a governor.