This invention relates to an inverter for use with a solar cell array.
A solar panel array consists of series connected solar cells. A photovoltaic (PV) inverter converts DC voltage from the solar panel array to AC voltage for connection to the utility.
The typical system for an ungrounded photovoltaic system is shown in
The voltage UN in
Referring now to
For each PWM carrier period, a desired average line-line voltage, Uref is chosen as is shown by one of the first of the waveforms in
For positive values of Uref, switch S1 is turned on for a part of the carrier period and switch S4 is turned on for the entire carrier period (see the third waveform in
For the remainder of each of the carrier periods for positive values of Uref, S1 is turned off and S2 is turned on while as described above S3 continues to remain off and S4 continues to remain on. This on and off arrangement of the switches applies approximately zero voltage at the inverter outputs, UAB. This is a zero state.
A sequence similar to that described above for positive values of the desired average line-line voltage is used for negative values of Uref where −UDC is applied to the inverter outputs for part of the carrier period (active state) and zero voltage is applied for the remainder (zero state).
The common mode voltage, UN in
U
L
≈U
L1
≈U
L2
During the positive active state when UAB=+UDC (S1 and S4 on), the following equations apply:
U
AB
=U
DC
=U
g+2UL
U
N
=−U
L
During the negative active state when UAB=−UDC (S2 and S3 on), the following equations apply:
U
AB
=−U
DC
=U
g+2UL
U
N
=−U
DC
−U
L
In both active states, eliminating UL from the equation for UN gives:
When S2 and S4 are turned on to produce a zero state at the inverter output:
U
AB=0=Ug+2UL
U
N
=−U
L
When S1 and S3 are turned on to produce a zero state at the inverter output:
U
AB=0=Ug+2UL
U
N
=−U
DC
−U
L
As can be seen from equations 1, 2 and 3, the common mode voltage UN has a step change equal to UDC/2 every time there is a transition from an active state to a zero state and vice-versa. The total voltage, UN, has three components: DC, utility frequency (50 Hz or 60 Hz) and carrier frequency (10 KHz-20 KHz). The carrier frequency component is the undesirable part of the common mode voltage. The waveform for UN is shown in
Various topologies have been used to mitigate this high frequency component of the common mode voltage including but not limited to the H5 inverter shown in U.S. Pat. No. 7,411,802 and the HERIC inverter shown in EP 1369985B1. Both of these inverter topologies add extra transistors to allow isolation between the DC bus and the utility during the time that the zero voltage state is applied. The resultant common mode voltage for both of these inverters is given by the equation:
and is independent of the active and zero states. Therefore, the common mode voltage has only DC and utility frequency components.
Another topology that has been used is the Half-bridge 3-level Neutral Point Clamped (“NPC”) inverter shown in
In this topology, the voltage UN, the voltage at the negative terminal of the panel with respect to ground, is equal to −UDC/2 since the mid point of the inverter DC bus formed by the series connection of the DC bus capacitors is connected to earth ground. The main drawback of this topology is that the total DC bus voltage must be at least twice that of the peak of the utility voltage. Therefore, for a 230V rms (325V peak) utility voltage the DC bus must be a minimum of 650 Vdc.
A full-bridge neutral point clamped (NPC) inverter having an input and an output converts a direct current voltage at the inverter input to an alternating current voltage at the inverter output acceptable for connection to a utility. The inverter includes eight switching elements S1 to S8 with switching elements S1 to S4 forming a first half of the NPC inverter full-bridge and the switching elements S5 to S8 forming a second half of the NPC inverter full-bridge inverter. The inverter further includes a pulse width modulator control unit having a predetermined carrier frequency. The control unit using for each carrier period either positive or negative values of a reference voltage to generate a predetermined number of signals to control the switching on and off of each of the eight switching elements in a predetermined pattern for a predetermined period of the carrier frequency period to thereby produce the alternating current voltage at the inverter output acceptable for connection to the utility and not produce between the inverter input and earth ground a carrier frequency component.
There is described herein another technique to eliminate the high frequency component in the common mode voltage. This technique uses the inverter topology shown in
In contrast, the use of the full-bridge NPC inverter as shown in
For each carrier period, the reference voltage, Uref, is obtained, on average, by applying an active voltage across the inverter output (UAB) equal to +UDC or −UDC for part of the period and a zero voltage the remainder of the period. The fraction of the carrier period that the active voltage is applied is the duty cycle and is determined by the equation:
The selection of the eight transistors shown in
The waveforms for this modulation scheme are shown in
The topology shown in
1) The transistors S1, S4, S5 and S8 form the active voltage states when UAB=+UDC or −UDC.
2) The transistors S2, S3, S6 and S7 form the zero voltage state when UAB=0. Some of these transistors are also on during the active voltage state.
3) For positive values of Uref, S1, S2, S7 and S8 are on and S3, S4, S5 and S6 are off to produce the active state (UAB=+UDC) per equation 4. For the zero voltage state, S2, S3, S6 and S7 are on and S1, S4, S5 and S8 are off for the remainder of the carrier period.
4) For negative values of Uref, S3, S4, S5 and S6 are on to produce the active state (UAB=−UDC) per equation 4. For the zero voltage state, S2, S3, S6 and S7 are on and S1, S4, S5 and S8 are off for the remainder of the carrier period.
5) For each of the eight transistors there is a corresponding transistor that cannot be turned on at the same time to prevent short circuiting the DC bus to the DC bus midpoint. These pairs of transistors are called complementary transistor pairs. The switching pattern in
6) Each transistor shown in
7) This particular modulation example shows a center based PWM where the active voltage +UDC or −UDC is applied in the center of the carrier period and the zero voltage is split equally between the beginning and the end of the carrier period. There are many other ways to split these voltages including selecting the active and zero voltage durations separately for each half carrier period. It should be appreciated that how the active and zero voltage states are split in a carrier period does not affect the operation of the full-bridge NPC inverter to eliminate the HF component in the common mode voltage provided that the active and zero transistor states are selected as described above.
During the active voltage state of the carrier period (UAB=+UDC or −UDC), the same derivation used for equation 1 shows that the common mode voltage UN is:
During the zero voltage state, both inverter outputs are approximately equal to −UL.
Therefore, the following equations apply:
U
AB=0=Ug+2UL
For the zero state, eliminating UL from the equation for UN gives:
Equations 5 and 6 are identical. Therefore, for the inverter topology shown in
It is to be understood that the description of the foregoing exemplary embodiment(s) is (are) intended to be only illustrative, rather than exhaustive, of the present invention. Those of ordinary skill will be able to make certain additions, deletions, and/or modifications to the embodiment(s) of the disclosed subject matter without departing from the spirit of the invention or its scope, as defined by the appended claims.
This application claims the priority of U.S. provisional patent application Ser. No. 61/352,072 filed on Jun. 7, 2010, entitled “Inverter For Solar Array” the contents of which are relied upon and incorporated herein by reference in their entirety, and the benefit of priority under 35 U.S.C. 119(e) is hereby claimed.
Number | Date | Country | |
---|---|---|---|
61352072 | Jun 2010 | US |