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GFM Primary Control Three-Phase
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The Primary Control Loop block provides setpoints for the Inner Control Loop and aims to satisfy certain system-level specifications. These can range from supplying pre-specified active and reactive power to providing services such as inertia and primary frequency response. The General Structure of the Primary Control Loop contains a power synchronization loop and a voltage profile management. The X/R ratio of the power system the grid-forming inverter is connected with, determines the relationship between active power, reactive power, frequency, and voltage. Typically, at a higher X/R ratio, active power is linked with the frequency, whereas reactive power is correlated with the voltage. With the reduction of the X/R ratio, active power, reactive power, frequency, and voltage become coupled together, and finally the relationship completely reversed in a lower X/R ratio. In most of the power systems (transmission level), the X/R ratio of the lines is normally high. Therefore, in the Primary Control Loop, the grid forming control strategies are based on the direct linkage between active power and frequency/angle and between reactive power and voltage magnitude. Hence, the reference and measurement for the active power are given as inputs to the power synchronization loop, while the reference and measurements for the reactive power are given as inputs to the voltage profile management unit. Three Primary control loop structures, i.e., Droop Control, Virtual Synchronous Generator (VSG) control, and Synchronverter control have been integrated with the Primary Control Loop block. Droop and Virtual Synchronous Generator require an inner control loop, whereas Synchronverter doesn’t require any Inner Control Loop. A short description of the adopted Primary control strategies is given in the following sections.
Description
This block contains three conventionally adopted Primary Control Loop approaches, i.e., Droop Control, Virtual Synchronous Generator (VSG) Control, and Synchronverter Control. Brief descriptions of the adopted Primary Control Loop approaches are as follows.
Droop Control
Droop-controlled grid-forming inverters stem from synchronous generators' self-regulation capability, i.e., decrease the dispatch of active power when the grid frequency increases, and vice versa. Depending on the power references and operating conditions, Droop control sets the references of the angular frequency, phase angle, and magnitude of the virtual voltage source for the inner control loop. The control architecture of the Droop control is shown below.
In this figure, mP and mQ are the droop coefficients for the active and reactive powers, respectively. Furthermore, Pmeas and Qmeas are the measured output active and reactive power. wref is the reference angular frequency.
Virtual Synchronous Generator (VSG) Control
grid former inverters controlled by Virtual Synchronous Generator mimic the synchronous generator's dynamic and inertial characteristics. Depending on the power references and operating conditions, the virtual synchronous generator (VSG) control sets the references of the angular frequency, phase angle, and magnitude of the virtual voltage source, for the inner control loop. The control architecture for the virtual synchronous generator is shown below.
The objective of a virtual synchronous generator VSG strategy is to generate the frequency and the angle of the inner source based on the swing equation of a synchronous generator. In this figure, Js is the moment of inertia and DP is the damping constant. Note that a virtual synchronous generator VSG is a strategy for controlling the active power (or frequency). For reactive power, droop strategy has been implemented, as shown above.
Synchronverter Control
Similar to virtual synchronous generator VSG, Synchronverter also mimics the behavior of a synchronous generator. However, unlike VSG, Synchronverter does not require any synchronization unit both for pre-synchronization purposes and during normal operation [1]. Therefore, during operation, depending on the power references and operating conditions, synchronverter directly generates the reference control signal in d-q coordinates and overcomes the requirement of the Inner Control Loop. The control architecture for the Synchronverter is given below.
The objective of a Synchronverter strategy is to generate the frequency and the angle of the inner source based on the swing equation and the magnitude of the inner voltage source based on the field electromagnetic equations. In the active power control part (i.e., Figure (a)) Js is the moment of inertia of all the parts rotating with the rotor, Te is the electromagnetic torques and DP is the damping factor. In Figure (b), Mf is the peak value of the mutual inductance between the rotor and stator windings, and if is the field current [2]. Mfif is calculated from the reactive power control loop (i.e., Figure (b)). Te is calculated according to Equation (1). Reactive power does not need to be measured and can be calculated from Equation (2). The emulated three-phase voltages, E, are calculated using (3). The ABC parameter is then transformed into d-q coordinate and acts as a reference control signal.
Mask and Parameters
Parameter | Description | Units |
Primary Control Loop Type | This parameter determines the primary control loop type, offering three choices: (1-Droop Control, 2- VSG Control Loop, 3-Synchronverter) | - |
Mask Parameters vary with the selection of Primary Control Loop Type. If Droop Control is selected as the Primary control, the following information is required by the configuration mask of the Primary Control Loop block.
Parameter | Description | Units |
Active Power Droop Coefficient | Droop Coefficient for active power control | % |
Reactive Power Droop Coefficient | Droop Coefficient for reactive power control | % |
Power LPF Cut-off Frequency | Cut-off frequency for the power measurement filter | (rad/s) |
If Virtual Synchronous Generator (VSG) Control is selected as the Primary control, following information are required by the configuration mask of the Primary Control Loop block.
Parameter | Description | Units |
Moment of Inertia | Moment of inertia | kg.m2 |
Damping Factor | Damping Constant | pu |
Reactive Power Droop Coefficient | Droop Coefficient for reactive power control | % |
Power LPF Cut-off Frequency | Cut-off frequency for the power measurement filter | (rad/s) |
If Synchronverter is selected as the Primary control, following information is required by the configuration mask of the Primary Control Loop block.
Parameter | Description | Units |
Moment of Inertia | Moment of inertia | kg.m2 |
Damping Factor | Damping Constant | pu |
Flux Integrator Gain | Integral Gain of the Flux Integrator | Pu/s |
Reactive Power Droop Coefficient | Droop Coefficient for reactive power control | % |
Power LPF Cut-off Frequency | Cut-off frequency for the power measurement filter | (rad/s) |
But for all three controller types the user must enter the values for the below parameter for
Parameter | Description | Units |
Nominal Frequency | Nominal frequency of the system | Hz |
Sample Time | Input sampling period | sec |
Inputs, Outputs, and Signals Available for Monitoring
Inputs
Parameter | Description | Units |
Vo_dq | Direct and Quadrature axis voltage at the output | pu |
Io_dq | Direct and Quadrature axis current at the output | pu |
Vref | Reference Input Voltage | pu |
Omega_ref | Reference Angular Velocity | pu |
Pref | Reference Active power | pu |
Qref | Reference Reactive Power | pu |
Iinv | Current at the inverter side inductor of the filter (appeared when synchronverter is chosen as the Primary Control Loop Type) | pu |
Reset | Reset Signal | - |
Outputs
Parameter | Description | Units |
Po | Active power measured at the output terminal | pu |
Qo | Reactive power measured at the output terminal | pu |
Vdref | d-axis reference magnitude of the virtual voltage source (appeared when Droop or Virtual Synchronous Generator is chosen as the Primary Control Loop Type) | Pu |
wt | Angle variation with time, synchronized on zero crossings of the fundamental (positive sequence) of phase A | rad |
Omega | Angular Velocity (appeared when Droop or Virtual Synchronous Generator is chosen as the Primary Control Loop Type) | Pu |
Vdq_ref | Direct and Quadrature axis Reference Control Signal. This reference control signal must be directly connected to the Reference Generation block. (Appeared when Synchronverter is chosen as the Primary Control Loop Type) | pu |
References
[1] X. W. M. L. X. L. a. S. E. R. Rosso, "Grid-Forming Converters: Control Approaches, Grid-Synchronization, and Future Trends—A Review," IEEE Open Journal of Industry Applications, vol. 2, pp. 93-109, 2021.
[2] Q.-C. Z. a. G. Weiss, "Synchronverters: Inverters that mimic synchronous generators," IEEE Trans. Ind. Electron, vol. 58, no. 4, pp. 1259-1267, Apr. 2011.
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