I had trouble getting the accepted answer to work for me due having an expression in the bat file path.
"x" | $Env:WRAPPER_HOME\bat\installService.bat $LOGFILE
Error is "Expressions are only allowed as the first element of a pipeline."
Here's what I got working (finally):
[PS script code]
& runner.bat bat_to_run.bat logfile.txt
[runner.bat]
@echo OFF
REM This script can be executed from within a powershell script so that the bat file
REM passed as %1 will not cause execution to halt if PAUSE is encountered.
REM If {logfile} is included, bat file output will be appended to logfile.
REM
REM Usage:
REM runner.bat [path of bat script to execute] {logfile}
if not [%2] == [] GOTO APPEND_OUTPUT
@echo | call %1
GOTO EXIT
:APPEND_OUTPUT
@echo | call %1 1> %2 2>&1
:EXIT