You dont have to use ::ng-deep. You can use [collapsedHeight] and [expandedHeight] on your mat-expansion-panel-header.
<mat-accordion [displayMode]="displayMode" [multi]="multi" class="mat-expansion-demo-width">
<mat-expansion-panel #panel1 [hideToggle]="hideToggle">
<mat-expansion-panel-header [collapsedHeight]="'190px'" [expandedHeight]="'190px'">
Section 1
</mat-expansion-panel-header>
<p>This is the content text that makes sense here.</p>
</mat-expansion-panel>
</mat-accordion>
Link to StackBlitz Demo.